q = 1 r - 2
--- ---
3. 9
r = 3q + 2
----
3
Answer:
\(q=\frac{3r-2}{9}\)
Step-by-step explanation:
9q = 3r - 6 + 2
9q = 3r - 4
\(q=\frac{3r-2}{9}\)
WILL MARK BRAINLIEST! The ratio of the angles in a triangle is 2:3:5. What are the angle measures?
Thank you!
you want to reach $3,000 in savings over four years your account will earn 10% interest per year how much must you save each month
You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.
To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate, we can use the PMT (Payment) function.
The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.
Let's break down the given information:
Present Value (PV): $0.00 (initial account balance)
Future Value (FV): $3,000.00 (savings goal)
Interest Rate (rate): 10% per year (annual interest rate)
Number of Periods (nper): 4 years (48 months)
Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).
The formula for the PMT function is:
PMT(rate, nper, pv, [fv], [type])
Where:
rate = Interest rate per period
nper = Total number of periods
pv = Present value (initial account balance)
fv = Future value (savings goal)
type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.
We'll assume 0 for monthly savings.
Let's calculate the monthly savings using the PMT function:
PMT(10%/12, 4*12, 0, -3000, 0)
Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).
Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.
Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.
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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.
Please help <3
Can someone please tell me what percent is shaded?
Answer:
take the total ammount of square and devide it by the number of shaded squares then multiply that answer by 100
Step-by-step explanation:
Can someone please tell me what percent is shaded?
cuantos minutos hay de diferencia entre 4.8 h y 5 h
Answer:
4.1 horas 246 min
4.7 horas 282 min
4.8 horas 288 min
4.9 horas 294 min
5 horas 300 min
Step-by-step explanation:
A bakery is 10 yards wide and 14 yards long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $7.00 per yard. How much will the baker's shelf cost?
The baker's shelf will cost $336.00.
What is the perimeter?
The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.
To calculate the cost of the wooden shelf, we first need to find the perimeter of the bakery:
Perimeter = 2 × (length + width)
Perimeter = 2 × (14 yards + 10 yards)
Perimeter = 48 yards
So the baker needs 48 yards of wooden shelf.
The cost of the wooden shelf is $7.00 per yard, so we can find the total cost by multiplying the number of yards by the cost per yard:
Total cost = 48 yards × $7.00 per yard
Total cost = $336.00
Therefore, the baker's shelf will cost $336.00.
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big points.
if x amount of people report this question, and it gets removed in 1 minute, and when 2x amount of people report this question, it gets removed in thirty seconds, writes a linear equation with y being how quickly it is removed, and x being people reporting it.
#forthememe
(it would be very ironic if this question was reported
Answer:
Y= 60 seconds divided by X
This is exponential, if x were 1 , Y' d. be 60 seconds. X=2, Y= 60/2 = 30.
Step-by-step explanation:
LIKE UR MEME
Which statement correctly compares the function shown on this graph with the function y = 3x - 6?
The plotted function and the function y = 3x - 6 represent a straight line and have have same slope and hence, both the lines are parallel to each other.
What is the general equation of a straight line?The general equation of a straight line is of the form -
y = mx + c
where -
[m] is slope of line
[c] is y - intercept
Given is a equation of a straight line and a graph of a straight line.
We have the following equation -
y = 3x - 6
For this equation, the slope of the straight line will be [m] = 3 and the y - intercept would be [c] = - 6. Refer to the graph attached with green color for all the possible set of solution.
Now, the equation of the line plotted on graph -
m = (4 - 0)/(0 + 1.3)
m = 3.07
m = 3 (approx.)
Its y - intercept [c] = 4
Therefore, the equation of the plotted line -
y = 3x + 4
Now, both the lines are plotted on the graph. It can be seen from the graph and from the equation that they have same slope and hence, both the lines are parallel to each other.
Therefore, the plotted function and the function y = 3x - 6 represent a straight line and have have same slope and hence, both the lines are parallel to each other.
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[The complete question needs the plotted graph. It is attached at the end of the answer]
Jerry and his cousin are playing a game where they pick up colored sticks. Jerry currently has 20 points and likes to pick up the pink sticks, earning 4 points every turn. His cousin just lost all her points on the previous turn, and has a strategy to catch up by getting all the red ones, earning 6 points per turn. In a certain number of turns, the score will be tied. How many points will they each have?
If Jerry currently has 20 points and likes to pick up the pink sticks, earning 4 points every turn, and his cousin has a strategy to catch up to jerry from 0, by getting all the red ones, earning 6 points per turn, then their scores will be tied after 10 turns from now on, and their points then will be 60.
As per the question statement, Jerry and his cousin are playing a game where they pick up colored sticks and Jerry currently has 20 points picking up the pink sticks which earn him 4 points every turn. His cousin just lost all her points on the previous turn, and has a strategy to catch up by picking all the red ones, which can earn 6 points per turn.
Then we are required to calculate the number of turns from now on, after which, their scores will be tied, and the magnitude of their points at that instant.
Let us assume that, their scores will be tied after "x" turns from now on.
Then, [{20 + (4 * x) = (6 * x)]
Or, [(20 + 4x) = 6x]
Or, [20 = (6x - 4x)]
Or, (2x = 20)
Or, [x = (20/2)]
Or, (x = 10)
That is, their scores will be tied after 10 turns from now on, and their points then will be [(20 + 4x) = (20 + 40) = 60].
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Answer: 4
Step-by-step explanation:
89.0 mL of a liquid is massed in a graduated cylinder. The total mass is 437.2 g. The empty graduated cylinder has a mass of 277.0 g. What is the density of the liquid?
it was young her father marked her height on a door frame every month he noticed that between the ages of one and three you can protect her height in inches by taking her age and months adding 75 in a multiplying the Rest by 1/3 create an equation licking her prediction height with her age in months
let h be the height of Asia. We get that
\(h=\frac{1}{3}\cdot(x+75)\)where x is the age in months
2. Troy had 3/8 of a pizza left over from his party. He ate 3/4 of the leftover pizza for breakfast. How much of the
whole pizza did Troy have at breakfast?
3. 3/5 of a bag of coffee weighs 6/7 pound. How much does a whole bag of coffee weigh?
The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds
A fraction is defined as a part of a whole quantity.
1. Leftover pizza = 3/8
Pizza used as breakfast = 3/4 of left-over pizza
= 3/4 of 3/8
The of is calculated by the use of multiplication
The fractions are multiplied as follows:
The numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.Pizza used as breakfast = 3/4 * 3/8
= 3 * 3 / 4 * 8
= 9/32
2. 3/5 of bag of coffee weighs = 6/7 pounds
1 bag of coffee weighs = 6/7 ÷ 3/5
The fractions are divided as follows:
The fraction to be divided is reciprocatedThe numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.Thus, = 6/7 * 5/3
= 6 * 5 / 7 * 3
= 30/21
= 10/7 pounds
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Play ball! The dotplot shows the number of wins for each of the 30 Major
League Baseball teams in the 2014 season:
A) Find the percentile for the Boston Red Sox, who won 71 games.
B) The new York Yankees number of wins is at 60th percentile of the distribution. Interpret this value in context. how many games did New York win?
Answer: 17th percentile
Step-by-step explanation: i say this because it falls before the 50 percentile
Penelope opened a surf shop in California. Her accountant models her profit, P, in dollars with the function P 1125t 2250t-9000, where t is the number of years of operation. Determine how long it will take the shop to start making a profit (Hint: P 0) Select one: a. 2 years b. 4 years c. 8 years d. 12 years
It will take 4 years for the shop to make profit
What are examples of linear equations?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).
Given That:
P = 1125t^2 - 2250t - 9000
where t is number of years of operations
Shop will start making profit when
P>0
1125t^2 - 2250t - 9000 > 0
1125 (t^2 - 2t - 8) > 0
t^2 - 2t - 8 > 0
t^2 - 4t + 2t - 8 > 0
t(t-4)+2(t-4) > 0
(t+2)(t-4) > 0
so
t < -2 and t > 4
t cannot be negative
so, t>4
Therefore it will take 4 years for the shop to make profit.
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Write 31/24 as a decimal rounded to the nearest tenth
Answer:
1.3
Step-by-step explanation:
just divide 31 by 24
This will give you the decimal: 1.291666667
Since the number 2 is right of the decimal point, it is in the tenths place.
Therefore, since the number next to the 2 is 9, you would round the 2 up and get 1.3 as your answer.
I need some help for two of the lines.
Answer:
The one you got wrong is y > 2x - 1. The one not yet filled out is y ≥ -x + 4.
Step-by-step explanation:
Please someone help me. See the picture
The maximum error of the midpoint approximation is 0.55.
How to find the maximum error of the midpointTo estimate the maximum error, we can consider the worst-case scenario by assuming that the second derivative is at its maximum value throughout the interval [11, 31]. In this case, we can use the largest possible value for M.
To find the maximum error of the midpoint approximation, we need to determine the width of the interval and divide it by 2.
Width of the interval = upper bound - lower bound = 10.5 - 9.4 = 1.1
Maximum error (E) = (Width of the interval) / 2 = 1.1 / 2 = 0.55
Therefore, the maximum error of the midpoint approximation is 0.55.
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a packet contains 3/4 kg of flour when it is full. 2/3 of the contents have been used. How much flour was used? Answer as a fraction of one kg.
Answer:
1/2 Kg
Step-by-step explanation:
To find the quantity of flour used multiply the (2/3) by (3/4)
\(\sf Quantity \ of \ flour \ used = \dfrac{2}{3} \ of \ the \ whole\)
\(= \dfrac{2}{3} \ of \ \dfrac{3}{4} \ Kg\)
\(= \dfrac{2}{3}*\dfrac{3}{4}\\\\=\dfrac{1}{2}\ Kg\)
If 30 pens cost ₹750. How many pens will cost ₹1000?
Answer:
I believe its 40 pens
Answer:
40 pens so u do 30 times 1000= 30000 ➗ 750
The rectangular floor of a classroom is 26 feet in length and 22 feet in width. A scale drawing of the floor has a length of 13 inches. What is the perimeter, in inches, of the floor in the scale drawing?
The perimeter of the rectangle in scale is 48 inches
Perimeter of RectanglePerimeter of Rectangle could be considered as one of the important formulae of the rectangle. It is the total distance covered by the rectangle around its outside.
The formula of perimeter of a rectangle is given as
P = 2(L + W)
P = perimeter of rectangleL = length of the rectangleW = width of the rectangleThe length of the floor is 26 feet and the width is 22 feet.
But on the scale, the length is equal to 13 inches, we can find the width of the rectangle by calculating the scale
Using the dimensions;
26 feet = 13 inches
22 feet = x
x = (22 * 13) / 26
x = 11 inches
The perimeter of the scale drawing will be
P = 2(L + W)
P = 2 (13 + 11)
P = 2 * 24
P = 48 inches
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A firm gives discounts to its customers who pay their bills on time. A customer receives a ten percent discount on the next invoice when a bill is paid in full before its due date. Thirty percent of all customers use the discount. If the company sends out eight bills, what is the probability that less than three take the discount (round answers to three decimal places, for example, 0.xxx)
Answer:
0.551
Step-by-step explanation:
Let no. of people who take discount = x
Using binomial distribution, N c X. p^x. q^(n-x)
p : customer getting discount = 0.3, q : customer not getting discount = 0.7 n : no. of customers = 8
Probability that x < 3 : Prob (x=0) + Prob (x=1) + Prob (x=2)
= 8 c 0. (0.3)^0 . (0.7)^8 + 8 c 1. (0.3)^1 . (0.7)^7 + 8 c 2. (0.3)^2 . (0.7)^6
0.05764801 + 0.19765032 + 0.29647548
0.551
HELPPPO PLSSSS!!!!!!!!!!!!
Ok perimeter is the sum of all the sides. You can count the squares or add them. You should get 25 units as perimeter
The Green Goober, a wildly unpopular superhero, mixes
3 liters of yellow paint with
5 liters of blue paint to make
8 liters of special green paint for his costume.
Write an equation that relates
y the amount of yellow paint in liters, and
b the amount of blue paint in liters, needed to make the Green Goober's special green paint.
geometry need help asap
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
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Find the area of the polygon
Answer: 120\(m^{2}\)
Step-by-step explanation:
The top part of this polygon is a triangle and the bottom is a rectangle. In this way, we can use the are of a triangle formula and the area of a rectangle formula to find the total area of the polygon.
Area of a triangle:
A = (base * height) / 2
= (6m*8m)/2
= (48m)/2
= 24\(m^{2}\)
Area of a rectangle:
A = base * height
= 12m * 8m
= 96\(m^{2}\)
Area of the polygon:
A = area of triangle + area of rectangle
= 24m + 96m
= 120\(m^{2}\)
xy= 20 can be read as
- the product of two numbers is twenty
-the sum of two numbers is twenty
-the quotient of two numbers is twenty
- the difference of two numbers is twenty
Answer:
The product of two numbers is twenty.
Answer:
The product of two numbers is twenty.
Step-by-step explanation:
You run 3 1/4 miles as part of your routine. You run 2/5 on a hill. You run down the slope for the last 1/2 mile of the hill. How many miles do you run down the slope?
Answer:
1 5/8
Step-by-step explanation:
Sorry read it wrong
The problem states that the last HALF of the run was down the slope, therefore the answer would be 1/2 of the total run, 3 1/4.
This is the answer I got and it said it was wrong. Do you think you could help me out please?
Answer:
the answer would would be 10^4/7
Step-by-step explanation:
Calculate 10 to the power of 4, then solve 10,000 to the square power of 7, and you get 10^4/7. I hope this helps, sorry if my explanation is bad, I don't really know how to explain, but I hope you get this correct.
3.1 Which basic property of operations was used in each of the following
calculations?
3.1.1 25 x 4 = 4 x 25 = 100
3.1.2 412 412 412 + (-412) = 0
3.1.3 25 +37
-
=
= 20 + 5+ 30+7
= 20 +30 +5+7
= 50+ 12 = 62
3.1.1 The basic property of operations used is the commutative property of multiplication.
3.1.2 The basic property of operations used is the additive inverse property.
3.1.3 The basic property of operations used is the associative property of addition.
3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.
3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.
3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.
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Solve the compound inequality 4x - 7 > 5 or 5x + 4 = -6.
OA) x < -2 or x? 3
B) xs-2 or x> 3
C) -2
D) xs -2 and x > 3
Answer:
B) xs-2 or x> 3
Step-by-step explanation:
I'm correct if I'm rwong
Jenna parks her car at a parking lot for a flat fee of $5.00 plus $0.75 per hour that her car is parked.
(a) Write an equation to represent Elaine's total parking cost, C, in dollars, for t hours.
(b) How much will it cost Elaine to park her car for a full 24 h?
PLEASE HELP!!!
a. C = 5.00 + 0.75t
b. It will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we can use the following equation:
C = 5.00 + 0.75t
In this equation, the constant term 5.00 represents the flat fee for parking, and the term 0.75t represents the additional cost per hour based on the number of hours (t) the car is parked. By adding the flat fee to the hourly cost, we get the total parking cost for t hours.
(b) To find out how much it will cost Elaine to park her car for a full 24 hours, we can substitute t = 24 into the equation:
C = 5.00 + 0.75 * 24
Calculating this expression, we get:
C = 5.00 + 18.00
C = 23.00
Therefore, it will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.
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