The new car costs $8,000. If interest rates are 15% per year, what would interest be per

year?

Answer is 5.54 miles. The decimal digit generally refers to the representation of a number in the decimal number system, often referred to simply as a decimal, or less precisely as a decimal.

How far should the visitor run to minimize the time it takes to reach the coral reef?

Assume she runs up to a point that is x miles to the east of the coral reef: distance running =6 -x miles.

distance swimming = root of x^2+5^2= root of x^2+25.

Times: time= distance / speed time running =6-x/8

time swimming =x^2+25/8 Total time

time running + time swimming:  

T=6-x/8+x^2+25/8

The accepted method of representing integers and non-integers is the decimal number system. It is an extension of the Indo-Arabic numeral system to non-integer values. Decimal notation is a term used to describe how numbers are represented in the decimal system.

To learn more about decimal places refers to;

brainly.com/question/15161606

#SPJ4

Answer is 5.54 miles. The decimal digit generally refers to the representation of a number in the decimal number system, often referred to simply as a decimal, or less precisely as a decimal.

Assume she runs up to a point that is x miles to the east of the coral reef: distance running =6 -x miles.

distance swimming = root of x²+5²= root of x²+25.

Times: time= distance / speed time running =6-x/8

time swimming =x²+25/8 Total time

time running + time swimming:  

T=6-x/8+x²+25/8

The accepted method of representing integers and non-integers is the decimal number system. It is an extension of the Indo-Arabic numeral system to non-integer values. Decimal notation is a term used to describe how numbers are represented in the decimal system.

To learn more about decimal places refers to;

brainly.com/question/15161606

#SPJ4

Answer:

i will try to help you....

Answer:

65 i believe

Step-by-step explanation:

130/2    

= 65

and

65 x 65 = 130

The probability that the events (a) they both picked Limca = 0.04, (b) Ademola only picked Pepsi = 0.32, (c) They both picked the same brand = 0.33 (d) They picked different brand=0.67.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

Total possible outcome of the event of picking drinks contained in the crate = 19

Hence, we can compute the following as follows;

(a) The probability they both picked Limca = (4/19)×(3/18)

Limca = 12/342

Limca = 0.04

(b) The probability Ademola only picked pepsi = 6/19

pepsi = 0.32

(c) The probability they both picked the same brand = (9/19)×(8/18)+(6/19)×(5/18)+(4/19)×(3/18)

=(72+29+12)/342

= 114/342

= 0.33

(d) The probability they picked different brand = (9/19)×(6/18)+(9/19)×(4/18)+(6/19)×(9/18)+(6/19)×(4/18)+(4/19)×(9/18)+(4/19)×(6/18)

The probability they picked different brand = (54+36+54+24+36+24)/342

The probability they picked different brand = 228/332

The probability they picked different brand = 0.67

Therefore, the probability for events (a) is 0.04, (b) is 0.32, (c) is 0.33 and (d) is 0.67.

Know more about probability here: https://brainly.com/question/24830485

#SPJ1

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

to know more about expression here:

brainly.com/question/15994491

#SPJ11

Look at the graph. You can identify that the Cave entrance is located at this point:

And the Canoe rentals is located at this point:

In order to calculate the distance between two points, you can use the following formula:

You can set up that:

Substitute the corresponding coordinates into the formula and evaluate:

The distance between the Cave entrance and the Canoe rentals is 5.38 units.

Answer:

we know that,

y-y1=m(x-x1)

or, y-1=-3(x-5)

or, y-1=15-3x

or 3x+y-16=0 is the required equation

The graph of the line with slope -3 passing through the point (5,1) is attached.

The equation of the line in the slope-intercept form is y = -3x + 16.

The equation of the line in the standard form is 3x + y = 16.

The equation of a line is the representation of a line on a coordinate plane (x-y plane), which shows the relation between x and y, for every point on the particular line.

The standard form of a line is ax + by = c, where x and y are variables and a, b, and c are constants.

The slope-intercept form of a line is y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept of the line.

The equation of a line passing through the point (x₁, y₁), having a slope m, is represented by the one-point formula: y - y₁ = m(x - x₁).

We are asked to graph a line with a slope = -3, passing through the point (5, 1).

We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (5, 1).

Substituting these values in the equation y - y₁ = m(x - x₁), we get

y - 1 = -3(x - 5)

or, y = -3x + 15 + 1

or, y = -3x + 16.

or, 3x + y = 16

The equation of the line in the slope-intercept form is y = -3x + 16.

The equation of the line in the standard form is 3x + y = 16.

To graph this line we plot the points (5, 1) (as it is given that it passes through this point) and (0, 16) (as the y-intercept is at 16, so the line passes through the point (0, 16)). We join these points by a line and extend this line on both sides to get the required line.

Learn more about the graphing of a line at

https://brainly.com/question/4025726

#SPJ2

7/3 or -7/3

Step-by-step explanation:

Answer:

x=-7/3, 7/3.

Step-by-step explanation:

0=9x^2-49

9x^2-49=0

factor

(3x+7)(3x-7)=0

3x+7=0, 3x-7=0

3x=0-7, 3x=-7, x=-7/3

3x=0+7, 3x=7, x=7/3

Addressing issue at hand, we can state that the correct linear equation comparison symbol to the box. 10.09 10.9 f < = > is => 10.09 < 10.9

The algebraic equation y=mx+b is known as a linear equation. M serves as the y-intercept, and B serves as the slope. The previous clause has two variables, y and x, and is sometimes referred to as a "linear equation with two variables". Bivariate linear equations are those with two independent variables. The following are a few examples of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation takes the form y=mx+b, with m denoting the slope and b denoting the y-intercept, it is referred to as being linear. The term "linear" refers to an equation having the form y=mx+b, where m stands for the slope and b for the y-intercept.

the correct comparison symbol to the box.

10.09 10.9

< = >

10.09 < 10.9

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

Answer:

well if 2 of the boys get a total of 3lbs of apples that means they get to eat 1.5lbs per person and if the other 3 boys get 2lbs to share amongst themselves that means they get 0.6lbs of apples per person so therefore the 2 boys will have a greater amount of apples than the 3 boys because the ratio of the lbs of apples to boys is greater. hope this helps! :))

Answer:

A

Step-by-step explanation:

ITS ALWAYS A

The width of the rectangle is 7m and the length of the rectangle is 10m.

A rectangle is a quadrilateral that is a four sided polygon with two opposite sides parallel and equal.

Let the width of the rectangle be x.

Therefore the length of the rectangle = x + 3.

Area of a rectangle = length * width

Area = (x + 3) (x)

Open bracket;

Area = x² + 3x

We are given the area = 70 m².

Therefore,

70 = x² + 3x

x² + 3x - 70 = 0

Solve quadratically using the factorization method by finding two factors of -70 that add up to give 3 the coefficient of x.

Factors = 10 and -7 which add up to 3.

Rewrite the equation;

x² + 10x - 7x - 70 = 0

x( x + 10) - 7 ( x + 10) = 0

(x - 7) (x + 10) = 0

x - 7 = 0 or x + 10 = 0

x = 7 or x = -10

x = 7m because the width can't be negative.

Therefore,

Length = x + 3 = 7 + 3 = 10 m

Therefore, the width of the rectangle is 7m and the length of the rectangle is 10m.

To learn more about the factorization method visit:

https://brainly.com/question/17325738

#SPJ9

Answer:2

Step-by-step explanation:

2

Answer:

\(D. \: 140\)

Step-by-step explanation:

\( \frac{35 \times 100}{25} = 140\)

we have

Simplify

Group terms

therefore

Answer:

WHere are the graphs

Step-by-step explanation:

:)

Answer:

x=-40

Step-by-step explanation:

1)Moe variable to the left hand side and change its sign 0.1x-0.15x=8-6

2)collect like terms 0.05x=2

3)Divide both sides by "-0.05"

4) x=-40

Answer:

-40

Step-by-step explanation:

6 + 0.10x = 0.15x + 8

0.10x-0.15x=8-6

-0.05x=2

x=2/-0.05

to remove the decimal point, multiply 100 in the numerator and in the denominator since in the denominator , there are two digits after the decimal point

therefore, x=2×100/-0.05×100

x=200/-5

x=-40

hope it helps you

Answer:

5. B, C and E

6. C

7. None

8. A and D

9. F and G

Step-by-step explanation:

See attachment for complete question

5. B, C and E

B, C and E are not parallelogram because they do not have 2 pairs of parallel sides

B and E are trapeziums while C is just a quadrilateral.

6. C

In (5) above, we established that B and E are trapeziums while C is not. This implies that only C is a quadrilateral.

7. None

A square is a parallelogram. So, it is not possible for a shape to be a square and not be a parallelogram.

8. A and D

A is a rhombus. D is a square and will be treated as a rhombus because all sides are equal.

9. F and G

These shapes have 2 pairs of parallel lines but all 4 sides are not equal; only the opposite sides are equal.

Explanation:

There are 6 toppings and we pick two different ones. If order mattered, then there would be 6*5 = 30 permutations. However, order doesn't matter. So we divide that result by 2 and we get 30/2 = 15 combinations.

15 groups of 2 different toppings can go on an order of ice cream

An arrangement of objects where the order in which the objects are selected does not matter.

Given that Mackenzie's ice cream shop lets customers choose 2

toppings from the list below to add to their ice cream:

which are Hot fudge, Sprinkles, Caramel, Strawberries, Whipped cream

and Chocolate chips.

We need to find the number of groups of different toppings can go on

an order of ice cream.

There are 6 toppings and we pick two different ones

There would be 6*5 = 30 permutations if the order mattered.

we divide that result by 2 because the customer can choose any two and we get 30/2 = 15 combinations.

Hence, 15 groups of 2 different toppings can go on an order of ice cream

To learn more on Combinations click:

https://brainly.com/question/19692242

#SPJ2

Answer:

-2,2

Step-by-step explanation:

So the order from left to right would be: Mode, Median, Mean.

In a positively skewed distribution, the mean is typically larger than the median, and the median is larger than the mode.

This can be illustrated in the following way:

Mean: The mean is affected by extreme values in the tail of the distribution, and will be pulled in the direction of the skew. Therefore, in a positively skewed distribution, the mean will be to the right of the median.

Median: The median is the value that separates the lower 50% of the data from the upper 50% of the data. In a positively skewed distribution, the tail of the distribution is on the right-hand side, which means that the median will be closer to the left-hand side than the mean.

Mode: The mode is the most frequent value in the distribution. In a positively skewed distribution, the mode will be the smallest value, located at the left-hand side of the distribution, while the mean and median will be to the right of it.

To know more about positively skewed distribution,

https://brainly.com/question/12320081

#SPJ11

Answer:

The numbers are:

5, 12 and 4

Step-by-step explanation:

a + b + c = 21       Eq. 1

b = 2a +2             Eq. 2

b = 3c                   Eq. 3

From Eq. 2:

b - 2 = 2a

(b-2)/2 = a              Eq. 4

From Eq. 3:

c = b/3                     Eq. 5

Replacing Eq. 4 and Eq. 5 in Eq. 1:

(b-2)/2 + b + b/3 = 21

3(b-2)/6 + 6b/6 + 2b/6 = 126/6

3(b-2) + 6b + 2b = 126

(3*b + 3*-2) + 8b = 126

3b - 6 + 8b = 126

11b = 126 + 6

11b = 132

b = 132/11

b = 12

from Eq. 4

(b-2)/2 = a

(12-2)/2 = a

10/2 = a

a = 5

from Eq. 5

c = b/3

c = 12/3

c = 4

Check:

from Eq. 1

a + b + c = 21

5 + 12 + 4 = 21

Answer:

11.776

Step-by -step explanation:

Here we are given a equation which is ,

\(\rm\longrightarrow 10^{x-10}-8=51.7 \)

And we would like to solve this using logarithms , so firstly add 8 on both sides , we get ;

\(\rm\longrightarrow 10^{x-10}= 51.7+8 \)

Simplify,

\(\rm\longrightarrow 10^{x-10}= 59.7 \)

Now take log to the base 10 on both sides ,

\(\rm\longrightarrow log_{10}10^{x-10}=log_{10}(59.7) \)

Recall that \(log\ m^n = n\ log m \) .So ;

\(\rm\longrightarrow (x-10)(log_{10}10=log_{10}(59.7) \)

Again recall that \( log_a a = 1\) .So ; here \(log_{10}10\) becomes 1 .

\(\rm\longrightarrow (x -10)1 = log_{10}59.7 \\ \)

\(\rm\longrightarrow (x-10)= log_{10}(59.7)\)

And the value of log 59.7 = 1.7759 . So on substituting this value , we have ;

\(\rm\longrightarrow x -10 = 1.7759 \)

Add 10 to both sides ;

\(\rm\longrightarrow x = 10+1.7759 \)

Simplify,

\(\rm\longrightarrow \underline{\underline{\red{\rm { x = 11.7759 \approx 11.776}}}}\)

And we are done !

\(\rule{200}4\)

\(\large\red{\bigstar}\underline{\underline{\textsf{\textbf{ Some related formulae :- }}}}\)

\(\boxed{\boxed{\begin{minipage}{5cm}\displaystyle\circ\sf\ ^{a} log \ a= 1\\\\\circ \ ^{a}log \ 1 = 0 \\\\\circ \ ^{a ^{n}} log \ b^{m}= \dfrac{m}{n} \times\:^{a}log \ b \\\\\circ \ ^{a^{m}} \ log \ b^{m} = \ ^{a}log \ b \\\\\circ \ ^{a}log \ b = \dfrac{1}{^{b}log \ a} \\\\\circ \ ^{a}log \ b = \dfrac{^{m}log \ b}{^{m} log \ a} \\\\\circ \ a^{^{a} logb} = b \\\\\circ \ ^{a}log \ b + ^{a}log \ c = \ ^{a}log(bc) \\\\\circ \ ^{a}log \ b -\: ^{a}log \ c = \ ^{a}log \left( \dfrac{b}{c} \right) \\\circ \ ^{a}log \ b \:\cdot\: ^{a}log \ c = \ ^{a}log \ c \\\\\circ \ ^{a}log \left( \dfrac{b}{c} \right) = \ ^{a}log \left(\dfrac{c}{b}\right)\end{minipage}}} \)

Answer:

The constant of proportionality is 2.5 dollar per cupcake

Step-by-step explanation:

the required equation would be \(y=2.5x\).

Answer:

$2.50

Step-by-step explanation:

trust me I know I'm right

Answer:

x = -2/5

i think

The 90% confidence interval for the mean amount of dollars spent by Apple customers is $1293.60 to $1414.38.

The conditions that must be met to construct a 90% confidence interval for the mean amount of dollars spent by Apple customers are: (1) the sample is a random sample, (2) the sample size is greater than 30 or the population standard deviation is known, and (3) the population distribution is approximately normal or the sample size is large enough to apply the Central Limit Theorem.

The critical value we would use in the formula to construct a 90% confidence interval with a sample size of 38 is 1.645. This value can be found using a t-distribution table with 37 degrees of freedom and a confidence level of 90%.

The standard error we would use to calculate this confidence interval is $27.85. This can be calculated using the formula: standard error = (sample standard deviation) / sqrt(sample size) = $170.89 / sqrt(38) = $27.85.

Therefore, the 90% confidence interval for the mean amount of dollars spent by Apple customers is $1293.60 to $1414.38. This can be calculated using the formula: sample mean +/- (critical value) x (standard error) = $1353.99 +/- (1.645) x ($27.85) = $1293.60 to $1414.38. We can be 90% confident that the true population mean amount of dollars spent by Apple customers falls within this interval.

To learn more about confidence interval, click here: brainly.com/question/20309162

#SPJ11

The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

Learn more about the five-number summary on:

https://brainly.com/question/24809873

#SPJ1

The probability of getting (i) a king of red suit = 1 / 26 (ii) a face card = 3 / 13 (iii) a red face card = 3 / 26 (iv) a queen of black suit = 1 / 26 (v) a jack of hearts = 1 / 52 (vi) a spade = 1 / 4

Given, Total number of cards in a deck = 52 cards

(i) Probability of getting a king of red suit - A deck contains two red kings, one each in hearts and diamonds.

Therefore, P(getting a king of red suit) = (Number of kings of red suit) / (Total number of cards in the deck)

= 2 / 52= 1 / 26

(ii) Probability of getting a face card - A deck contains 12 face cards (4 Jacks, 4 Queens and 4 Kings)

Therefore, P(getting a face card) = (Number of face cards) / (Total number of cards in the deck)

= 12 / 52= 3 / 13

(iii) Probability of getting a red face card - A deck contains 6 red face cards (2 Jacks, 2 Queens and 2 Kings)

Therefore, P(getting a red face card) = (Number of red face cards) / (Total number of cards in the deck)

= 6 / 52= 3 / 26

(iv) Probability of getting a queen of black suit - A deck contains two black queens, one each in clubs and spades.

Therefore, P(getting a queen of black suit) = (Number of queens of black suit) / (Total number of cards in the deck)= 2 / 52= 1 / 26

(v) Probability of getting a jack of hearts - A deck contains only one jack of hearts

Therefore, P(getting a jack of hearts) = (Number of jacks of hearts) / (Total number of cards in the deck)= 1 / 52

(vi) Probability of getting a spade - A deck contains 13 spades

Therefore, P(getting a spade) = (Number of spades) / (Total number of cards in the deck)

= 13 / 52= 1 / 4

Learn more about probability visit:

brainly.com/question/31828911

#SPJ11