the maximum or minimum
The maximum and minimum οf a functiοn, knοwn generically as extremum in mathematical analysis, are the largest and smallest values οf the functiοn, either within a given range (the lοcal οr relative extrema) οr οn the entire dοmain (the glοbal οr absοlute extrema)..
Is it a minimal οr maximal value?The wοrd minimum refers tο the bare minimum οf a task. Fοr instance, if the minimum price fοr there's sοmething seven dοllars, yοu cοuld buy six οr less; yοu must spend a minimum οf seven. Yοu can gο beyοnd the bare minimum, but nοt belοw it.
When dο we use the bare minimum?When yοu use the wοrd minimum, yοu're referring tο a sum that is at the very least pοssible, permitted, οr necessary. Weekend stays at the hοtel must be a minimum οf twο nights.
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Complete question?
What does maximum and minimum mean in graphical function?
7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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What is P(AC)?
Place Is a city Is in North America
A. 4/7
B.2/7
C. 5/7
D. 3/7
Answer:
c
Step-by-step explanation:
Dorthy play a game in which she could either lose our game points each round at the end of seven rounds and she had -9 points. after one more round she had -5 points, express the change and points in the most recent round as a integer.
In the most recent round, the change in points for Dorothy can be expressed as an integer of +4.
1. Given that Dorothy had -9 points after seven rounds, we can deduce that she lost 4 points in each of those rounds.
2. After one more round, Dorothy's points changed from -9 to -5.
3. To find the change in points in the most recent round, we subtract the initial points from the final points: -5 - (-9) = +4.
Therefore, the change in points in the most recent round for Dorothy is +4.
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Plot square root of 18 on the x-axis.
Consider using the grid to help:
Please help me
The coordinate point (x,y) = (3√2,0) represents the square root of 18 on the x-axis
How to plot the point?The expression is given as:
x = √18
Express 18 as the product of 9 and 2
x = √9 * 2
Take the square root of 9
x = 3√2
This means that we plot the following coordinate point to represent the square root of 18 on the x-axis
(x,y) = (3√2,0)
See attachment for the plot
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what is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equa
The most appropriate choice for HCF will be given by-
Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = 7
What is HCF?
HCF means highest common factor. HCF of two number a and b is the highest number that divides both a and b.
Number of white tulips = 21
Number of red tulips = 91
Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = HCF (21, 91)
Now,
\(21 = 3\times 7\\91 = 7\times 13\\\)
HCF (21, 91) = 7
Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = 7
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The largest of three consecutive integers is three times the smallest. What is the largest integer?
Answer:
3
Step-by-step explanation:
x = smallest
x + 1
x + 2 = largest
x + 2 = 3x
2 = 2x
x = 1
3 consecutive numbers: 1, 2, 3
Draw all non-isomorphic simple graphs with three vertices. Do not label the vertices of the graph. You should not include two graphs that are isomorphic. Remember that it is possible for a graph to appear to be disconnected into more than one piece or even have no edges at all.
Three non-isomorphic simple graphs with three vertices are given in the figure below.
The first is a complete graph, in which all three vertices are connected to each other. It is represented by a triangle shape.
The second graph is a graph with one vertex connected to the other two, it is represented by a line with two branches.
The third graph is a graph with no edges, it is represented by three isolated points.
Remember that two graphs are isomorphic if one can be transformed into the other by relabeling the vertices. It's important to note that these are the only three possible non-isomorphic simple graphs with three vertices.
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Type the correct answer in the box. express your answer to two significant figures. a reaction between 1.7 moles of zinc iodide and excess sodium carbonate yields 12.6 grams of zinc carbonate. this is the equation for the reaction: na2co3 zni2 → 2nai znco3. what is the percent yield of zinc carbonate? the percent yield of zinc carbonate is %.
The percent yield of zinc carbonate is 5.91%.
What is chemical reaction?The chemical reaction is the reaction between two reactants which led to the formation of products.
The products are substances which forms after reaction. The reactants are the substances which are original materials.
Given is a reaction between 1.7 moles of zinc iodide and excess sodium carbonate yields 12.6 grams of zinc carbonate.
The given balanced equation is: Na₂CO₃ + ZnI₂ → 2NaI + ZnCO₃
From given moles of zinc iodide, the moles of zinc carbonate
1.7 moles of ZnI₂ = 1.7 moles of ZnCO₃
Molar mass of zinc carbonate is 125.38 g/mol
Theoretical yield = 1.7 moles of ZnCO₃ x 125.38 g/mol = 213.15 g ZnCO₃
Theoretical yield is 213.15 g and the actual yield is given as 12.6 g.
percent yield = [ 12.6 g / 213.15 g ZnCO₃ ] x 100
percent yield = 5.91%
The percent yield of zinc carbonate is 5.91%.
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Solve the product 3.242= 2.12
Answer:
It is false
Step-by-step explanation:
Answer:
There is no product but the equation is false
Step-by-step explanation:
If you meant 3.242 x 2.12 it is = 6.87304
A summer soccer camp ordered a total of 84 soccer balls and t-shirts for the season.Soccer balls cost $25 each and t-shirts cost $9.50 each.If they paid $1,046 total for the purchase,how many of each item was ordered?
Using a system of equations, if the summer soccer camp paid a total of $1,046 for the purchase of 84 soccer balls and t-shirts for $25 and $9.50 each, the number of each item ordered was 16 soccer balls and 64 t-shirts.
What is a system of equations?A system of equations is described as two or more equations solved concurrently.
It is also called simultaneous equations.
The total number of soccer balls and t-shirts ordered = 84
The cost per soccer ball = $25
The cost per t-shirt = $9.50
The total payment for the two items = $1,046
Equations:Let soccer balls = s and t-shirts = t
s + t = 84 ... Equation 1
25s + 9.5t = 1,046 ... Equation 2
Multiply Equation 1 by 25 to eliminate s:
25s + 25t = 2,100 ... Equation 3
Subtract Equation 2 from Equation 3:
25s + 25t = 2,100
-
25s + 9.5t = 1,046
= 15.5t = 1,054
t = 68
s + t = 84
s + 68 = 84
s = 16
Check:
25s + 9.5t = 1,046
25(16) + 9.5(68) = 1,046
400 + 646 = 1,046
Thus, the camp ordered 16 soccer balls and 64 t-shirts.
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Suppose that a deck of 52 cards contains 26 red cards and 26 black cards (and assume the red cards are numbered 1 to 26, and so are the black cards). Say we use the 52 cards to randomly distribute 13 cards each among two players (2 players receive 13 card each). a. How many ways are there to pass out 13 cards to each of the two players? b. What is the probability that player 1 will receive 13 cards of one color and player 2 receive 13 cards of the other color?
(A) the number of ways to pass out 13 cards to each of the two players is (52! / (13! × 13!)) × (39! / (26! × 13!)) (B) We can calculate probability by dividing the number of favorable outcomes by the total number of possible outcomes. (26! / (13! × 13!))²] / [(52! / (13! × 13!)) × (39! / (26! × 13!))]
A) To determine the number of ways to distribute 13 cards to each of the two players, we can use the concept of combinations. Since the order of distribution does not matter, we'll use the formula for combinations:
C(52, 13) × C(39, 13)
= (52! / (13! × (52 - 13)!)) × (39! / (13! × (39 - 13)!))
Simplifying this expression:
= (52! / (13! × 39!)) × (39! / (13! × 26!))
= (52! / (13! × 13! × 26!)) × (39! / (26! × 13!))
= (52! / (13! × 13! × 26!)) × (39! / (26! × 13!))
= (52! / (13! × 13!)) × (39! / (26! × 13!))
Therefore, the number of ways to pass out 13 cards to each of the two players is (52! / (13! × 13!)) × (39! / (26! × 13!)).
B) To calculate the probability that player 1 will receive 13 cards of one color and player 2 will receive 13 cards of the other color, we need to find the favorable outcomes and divide it by the total number of possible outcomes.
The favorable outcome is when player 1 receives 13 cards of one color and player 2 receives 13 cards of the other color.
For player 1 to receive 13 red cards, there are C(26, 13) ways, and for player 2 to receive 13 black cards, there are C(26, 13) ways.
Therefore, the number of favorable outcomes is C(26, 13) ×C(26, 13).
The total number of possible outcomes is the same as the answer to part A, which is C(52, 13) × C(39, 13).
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
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There are approximately \(6.54 \times 10^{11}\) ways to distribute 13 cards to each of the two players, and the probability that player 1 will receive 13 cards of one color and player 2 will receive 13 cards of the other color is approximately 0.76%.
a. To determine the number of ways to pass out 13 cards to each of the two players, we can use the concept of combinations. We need to select 13 cards out of the total 52 cards for the first player, and then the remaining 13 cards will automatically go to the second player. The number of ways to choose 13 cards out of 52 is given by the combination formula: \(52_C_{13} = \frac{52!}{(13!(52-13)!)}\). Evaluating this expression, we find that there are approximately \(6.54 \times 10^{11}\) ways to distribute the cards.
b. The probability that player 1 will receive 13 cards of one color and player 2 will receive 13 cards of the other color depends on the specific color that each player receives. Let's consider the case where player 1 receives all red cards and player 2 receives all black cards. There are 26 red cards and 26 black cards, so the probability of player 1 receiving all red cards is given by: \(\frac{26_C_{13} \times 26_C_0}{52_C_{13}}\). Evaluating this expression, we find that the probability is approximately 0.0076, or 0.76%.
In conclusion, there are approximately \(6.54 \times 10^{11}\) ways to distribute 13 cards to each of the two players, and the probability that player 1 will receive 13 cards of one color and player 2 will receive 13 cards of the other color is approximately 0.76%.
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The data shows the total number of employee medical leave days taken for on the job accidents in the first six months of the year 14, 6, 18, 10,22, 14. Find the mean number of days taken for medical leave each month.The mean number of days taken for medical leave each month is
ANSWER
14 days
EXPLANATION
The mean of a data set is the sum of all data, divided by the number of data,
\(\bar{x}=\frac{1}{n}\sum_{i\mathop{=}1}^nx_i\)In this case, the number of data is 6, so the mean is,
\(\bar{x}=\frac{14+6+18+10+22+14}{6}=\frac{84}{6}=14\)Hence, the mean number of days taken for medical leave each month is 14.
1/5 de los animales en el zoológico son monos 5/7 de los monos son machos
¿Qué fracción de los animales en el zoológico son monos machos?
1/7 of the animals in the zoo are male monkeys.
What fraction of the animals in the zoo are male monkeys? Explain with workings.
To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.
Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:
= 1/5
= 5/25.
And 5/7 of the monkeys are male which is written as 5/7.
To get fraction of male monkeys, we will multiply these two fractions:
= (5/25) * (5/7)
= 25/175
= 1/7.
Full question:
1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?
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Use this information for Questions 7 - 8: Question 7: Calculate a confidence interval with a confidence level for true average lifetime. Sample mean is 1191.6 and 5 = 506.6 and n=43 (865.0, 1491.3) (901.2. 1705.7) (794.5. 1023.8) (992.3, 1390.9) Question 8 Use this information for Questions 7 - 8: Question 8: What is the z critical value for this problem? Sample mean is 1191.6 and s = 506.6 and n =43. ⢠2.58 196
The confidence interval for the given standard deviation is [992.3, 1390.9].
What is standard deviation?
Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.
Main body:
A)
Mean = 1191.6
standard deviation = 506.6
n = 43
for true average lifetime C.I. = 99%
z value for 99% in z table = 2.55
C.I. = Mean ± z*s/√n
C.I. = 1191.6 ± 2.55*506.6/√43
C.I. = 1191.6 ± 197.0
C.I. = [992.3, 1390.9]
hence the confidence interval is [992.3, 1390.9].
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Identify the terms and like terms in the expression.
What is the value of x in the figure at the right?
Answer:
b 12
Step-by-step explanation:
62=5x+2(opposite angle are equal)
5x=60
x=12
Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers may lose bone mineral. Researchers measured the percent change in mineral content of the spines of 47 mothers during three months of breast-feeding.6Here are the data:
Blend Images/Superstock
(a)
The researchers are willing to consider these 47 women as an SRS from the population of all nursing mothers. Suppose that the percent change in this population has standard deviation ? = 2.5%. Make a stemplot of the data to verify that the data follow a Normal distribution quite closely. (Don
To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.
To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.
STEMPLOT OF THE DATAHowever, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.
Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.
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In dry air at a temperature of 68 F, sound travels at the speed of 767 mph or 1125 ft/sec. How many seconds does it take sound to travel 1 miles (5280 ft) in air?
Answer:
The answer is 4.69 sec
Step-by-step explanation:
We know time taken = distance / speed
here 1 mile = 5280 feet , so 767 mph = 767x 5280 feet /( 60x60 ) s = 1124.93 feet / sec .
now , time taken \(Time = \frac{5280}{1124.933}= 4.69 sec\)
It will take 4.69 sec for the sound to travel 1 mile or 5280 feet .
Leo Gandolfi takes out a short-term loan of $1,800 at 12 percent
for 6 months. The monthly payment is $310.50. The balance of the loan after 4 payments is
$612.34. How much does he save by paying off the loan when the next payment is due?
A $6.12
R2 $18.00
C
2,353
SCIO
In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Jan 293 18 311 1,507 16.25%
Feb 296 15 311 1,212 32.67%
Mar 298 12 311 913 49.25%
Apr 301 9 311 612 66.00%
May 304 6 311 308 82.92%
Jun 308 3 311 0 100.00%
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-5x+2y=9 what does x and y equal
Answer:
x= \((-2y+9/\ 5)\) y= 5x+9/2
Step-by-step explanation:
FOR X,
-5x+2y=9
-5x= -2y+9
x= -2y+9/5
FOR Y,
-5x+2y=9
+2y= 5x+9
y= 5x+9/2
Which of the following combinations would result in multiple triangles?
Click on the image to see answers
The following combinations would result in multiple triangles:
B) 5°, 122° and 61°.
C). 2 cm, 8 cm, 10 cm.
The correct options are B and C.
What is a Triangle?A polygon which has three sides and three vertices is called as triangle.
The sum of all the angles of the triangle is 180°.
A) The sum of all the angle is 180°.
It can form the triangle.
B) The sum of all the angle is less than 180°.
From this property, we can not form a triangle.
C). The triangle inequality,
the sum of two sides is less than the side length of the large side.
This property can satisfy the multiple triangle property.
D). It can be the property of a triangle.
Therefore, the combinations are statement B and C.
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Find the surface area of the square pyramid. Enter your answer in the box.
A square pyramid. The side length of the base is 11 centimeters. The height of each of the 4 triangular faces is 10 centimeters.
cm2
Answer:
341 cm²
Step-by-step explanation:
Formula :
Surface area = Area of 4 triangle faces + Area of square base
===============================================================
Solving :
⇒ Surface area = 4 × 1/2 × 11 × 10 + 11²
⇒ Surface area = 2 × 110 + 121
⇒ Surface area = 220 + 121
⇒ Surface area = 341 cm²
The surface area of the square pyramid is 341 square centimeter.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The surface area of a square pyramid is calculated by the equation S = B + 1/2 × P × S
where B is the area of the base,
P is the perimeter of the base, and
S is the slant height of the pyramid.
the area of the base =11×11
B=121 square centimeter
The perimeter of the base = 2(11+11)
P= 44 cm
Slant height (S) is 10 cm.
Surface Area = 121 + 1/2 (44×10)
=121+220
=341 square centimeter
Hence, the surface area of the square pyramid is 341 square centimeter.
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While a gazelle was drinking water from a river, a hungry lioness watched her from the brush 200 yards south of the gazelle’s position. Exactly when the lioness sprang from her hiding position, the gazelle leaped away from the lioness, running in a straight line due north. The gazelle ran at 8 yards per second, and the lioness ran at 12 yards per second. How far did the lioness have to run before she caught her lunch?
The lioness has to run 300 yards to catch her lunch.
When the gazelle was drinking water from the river, the lioness watched her from the brush 200 yards south of her position. As the lioness sprang from her hiding position, the gazelle leaped away from the lioness, running in a straight line due north. The gazelle ran at 8 yards per second, and the lioness ran at 12 yards per second.
Let's determine the distance between the gazelle and the lioness when the gazelle started to run.The gazelle was drinking water while the lioness watched her from the brush 200 yards south of her. So the distance between the gazelle and the lioness at the start is 200 yards.
The time it takes the lioness to catch the gazelle is equal to the time the gazelle takes to run away from the lioness. This is because the distance traveled by the lioness will be the same as the distance the gazelle travels. Let's to find out how long the lioness will take to catch the gazelle.
Since the gazelle ran at 8 yards per second, she will run 100 yards in 100/8 seconds, which is 12.5 seconds.
Therefore, it took the gazelle 12.5 seconds to travel 100 yards. During this time, the lioness was also running.
Therefore, the lioness would have covered the distance between her and the gazelle in 12.5 seconds at her speed of 12 yards per second.
The distance between the gazelle and the lioness at the start is 200 yards.
Therefore, the distance the lioness needed to run to catch the gazelle is
200 + 100 = 300 yards.
The lioness has to run 300 yards to catch her lunch.
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What is the value of cos(150°)?
OF
22
-
V3
2.
1500
30
-
Answer:
\(cos(150^o)=-\frac{\sqrt{3} }{2}\)
Step-by-step explanation:
Recall that the value of the cosine of an angle in the unit circle is the horizontal value (x-coordinate) read-out for the point on the circle's circumference that represents the given angle.
in this case, notice that \(150^o\) corresponds to an angle in the second quadrant, and the actual coordinate values for it are given to you. therefore, use the value you read for the x-coordinate: \(-\frac{\sqrt{3} }{2}\)
The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the leaning tower when it was originally built? give your answer to the nearest meter.
a. 56
b. 46
c. 65
d. 70
The Leaning Tower of Pisa was originally built to be 58.36 meters tall. However, it has since leaned over at a 4 degree angle, which has reduced its vertical height to 55.86 meters. This means that the tower was originally 65 meters tall, to the nearest meter.
The Leaning Tower of Pisa is a bell tower located in the Piazza del Duomo in Pisa, Italy. It was built in the 12th century and began to lean over during construction due to soft ground beneath its foundation. The tower's lean has continued to worsen over time, and it is now one of the most famous tourist attractions in the world.
In 1990, a major restoration project was completed that stabilized the tower and reduced its lean by 44 centimeters. As a result of this project, the tower's vertical height was reduced to 55.86 meters. However, the tower's original height can be calculated by taking into account its current height, its lean angle, and the length of its foundation.
Using these factors, it can be determined that the Leaning Tower of Pisa was originally 65 meters tall, to the nearest meter.
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The Leaning Tower of Pisa was originally built to be 58.36 meters tall. However, it has since leaned over at a 4 degree angle, which has reduced its vertical height to 55.86 meters. This means that the tower was originally 65 meters tall, to the nearest meter.
The Leaning Tower of Pisa is a bell tower located in the Piazza del Duomo in Pisa, Italy. It was built in the 12th century and began to lean over during construction due to soft ground beneath its foundation. The tower's lean has continued to worsen over time, and it is now one of the most famous tourist attractions in the world.
In 1990, a major restoration project was completed that stabilized the tower and reduced its lean by 44 centimeters. As a result of this project, the tower's vertical height was reduced to 55.86 meters. However, the tower's original height can be calculated by taking into account its current height, its lean angle, and the length of its foundation.
Using these factors, it can be determined that the Leaning Tower of Pisa was originally 65 meters tall, to the nearest meter.
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Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, , would be in the account after 20 years?
Answer: 90,946.5473279
Step-by-step explanation:
DeltaMath told me lol
Answer:
90946.55
Step-by-step explanation:
to the nearest cent
NEED ANSWER ASAP PORFAVOR WILL GIVE BRAINLIEST
Answer:
20 mph
Step-by-step explanation:
Given that a dolphin swam 7 1/2 miles in 3/8 hour, you want its average speed in miles per hour.
Average speedThe average speed is the ratio of distance to time:
speed = distance/time
speed = (7 1/2 mi)/(3/8 h) = (15/2)(8/3) mi/h = 20 mi/h
The dolphin's average speed was 20 miles per hour.
What’s the sum in the diagram, a + b + c =
Answer:
Answer is 360 degrees
Step-by-step explanation:
The sum of the exterior angles of a triangle is 360°.
Answer: 360 degrees
Step-by-step explanation:
You know that in a triangle is 180 degrees. In the diagram, the figure shows a, b, and c, outside of the triangle. Also, the a, b, and c makes a circle. The circle is 360 degrees, so when you add a, b, and c that will equal 360.
What's a central angle
Answer:
What's a central angle?
the central angle is 90 °