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Answer:

$ 3,018.93

Step-by-step explanation:

This question is asking us to find the Principal.

Hence, the formula for compound interest that is compounded continuously is :

A = Pe^rt

P = Principal/Initial amount

A = Amount after investment = $7500

r = Interest rate = 7% = 0.07

t = time in years = 13 years

Hence,

7500 = Pe^0.07 × 13

P = 7500/e^0.07 × 13

P = 7500/e^0.97

P = $3018.9316803

Approximately P (The amount that should be invested ) = $3,018.93

Answer:

-b years from now

Step-by-step explanation:

The age of Adam = d

The age of Brandon = b

The number of years Brandon is older than Adam = b

Therefore;

b = d + b

∴ d = 0

Therefore, Brandon will be twice as old as Adam is now when Brandon is 2 × 0 = 0 years

The number of years before Brandon will be twice as old as Adam is now  = 0 - b = -b years from now

Answer:

the answer is 68km.

Step-by-step explanation:

Answer:

42.5 miles is about 68km

multiply 42.5 by 8/5 and you have your answer

Answer:

63.84

Step-by-step explanation:

Answer:

63.84

Step-by-step explanation:

Multiply both numbers without the decimal point then move the decimal point 2 places to the left.

Answer:

125 pages

Step-by-step explanation:

Since 80 is 64% of unknown x we can write the equation 80/x=64/100. Now cross multiply to get 8000=64x. Divide both sides by 64 to get 125=x.

The car's position can be described with the linear function below:

y = (-48.7 mi/h)*x + 400 mi

We know that the car is initially at a distance of 400 miles from Yuma. We also know that the car moves at a constant rate (steady speed) then its position will be described by a linear equation:

y = a*x + b

Where y is the distance, a is the slope and b is the y-intercept.

Knowing the initial distance, we can write:

y = a*x + 400mi

And we know that after 7 hours, the car is at 59 mi, then we can write:

59 mi = a*7h + 400mi

59mi - 400mi = a*7h

-341 mi = a*7h

-341mi/7h = a

-48.7mi/h = a

Then the equation that describes the distance from Yuma is:

y = (-48.7 mi/h)*x + 400 mi

Learn more about linear functions:

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Answer:

y=-50x+400

Step-by-step explanation:

Took the text

Answer:

the slope for a is [tex]\frac{12}{3}[/tex] but in simplest form 4

the slope for b is 0

Step-by-step explanation:

hope this helped :-)

Answer:

10 spiders

18 grasshoppers

Answer:

24 hours per day

Step-by-step explanation:

Answer:

On the number line:

a) 0.6666666667 scoops per powder

b) 0.625 scoops per powder

Step-by-step explanation:

For the Noah and Andres question:

To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water.

Unit rate = scoops per cup

= 4 Scoops/6 cups

= 2/3 scoops per powder

= 0.6666666667 scoops per powder

Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line?

Unit rate = scoops per cup

= 5 Scoops/8 cups

= 0.625 scoops per powder

Answer:

100

Step-by-step explanation:

12x - 4 + 13x + 9 = 180

25x + 5 = 180

25x = 175

x = 7

13(7) + 9 = 100

Answer:

lkj  l l  /nkmpnok

Step-by-step explanation:

Answer:

Total cash collected= $87.6

Step-by-step explanation:

Giving the following information:

A Robotics Club has 16 members. Each member pay monthly dues of $14.60. On the first day of the month 10 members paid their dues.

To calculate the total cash collected on the second day, we need to use the following formula:

Total cash collected= unitary cost*number of members

Total cash collected= 14.6*6

Total cash collected= $87.6

Answer: use a calculator or ask for help

Step-by-step explanation:

What you have so far is correct.

Problem 7 is a function because none of the x values repeat. Each x input goes to exactly one y output. The y values can repeat. If the y values repeat, then we don't have a one-to-one function.

In contrast, problem 8 is not a function. We have x = 1 go to y = 8 and y = 6 at the same time. This is one example showing we don't have one output for a given input.

Answer: 15

Step-by-step explanation:

Answer:

[tex]C) 1210m^2[/tex]

Step-by-step explanation:

Initial Length of the rope (r) = 12 m

Final length of the rope (R) = 23 m

[tex]Additional\ area\ acquired\ = Final Area- Initial Area\\=\pi R^2- \pi r^2\\=\pi (R^2-r^2)\\=\pi (23^2-12^2)\\=\pi (529-144)\\=\pi (385)\\=385\pi \\\\As\ \pi = \frac{22}{7} \\\\Hence,\\385\pi \\=385 * \frac{22}{7} \\=55*22\\=1210 m^2[/tex]

Answer:

4.) 5.3333333....

Step-by-step explanation:

Rational numbers are either repeating decimals:

[tex]\frac{1}{3}= 0.333333333....[/tex]

Include terminating decimals:

[tex]\frac{1}{8}= 0.125[/tex]

Are all numbers that can be written as a quotient of integers:

[tex]\frac{a}{b},b\neq 0[/tex]

Options (1), (2), and (3) are neither repeating, terminating, and can't be written as a quotient of integers.

Option (4) has repeating decimals, so this is rational.

:Done

Answer:

P = 2(l + w)

P = 2l + 2w

Answer: 30/4

Step-by-step explanation:

Answer:

The measure of angle MNP is

m ∠ MNP =  (x - y)/2

Explanation:

The image attached shows the figure corresponding to this question.

The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.

Then, you can use the theorem:

the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.

The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:

m ∠ MNP = (x - y)/2

Brainleist please

Answer:

Step-by-step explanation:

Given

amount of  salamanders, = 5

amount of crayfish = 3

amount of minnows = 12

Total fish = Total outcome = 5+3+12

Total outcome = 20

Since we are looking for the probability of selecting  salamanders, our expected outcome will be 5.

Probability = expected outcome/total outcome

Pr( salamanders,) = 5/20

Pr( salamanders) = 1/4

Hence the probability of selecting  salamanders, is 1/4

Answer:

7

Step-by-step explanation:

ΔABM and ΔDCM

4x - 1 = 3x + 6

4x - 3x = 6 + 1

x = 7

Answer:

C. 7

Step-by-step explanation:

Find the diagram to the question attached. Two congruent triangles has all its sides to be equal. This means that the sides of ΔABM will be equal to that of ΔDCM (SSS rule).

Given

BM = 3x+6

MC =4x-1

Since both triangles are congruent, then BM = MC

Next is to get x;

3x+6 = 4x-1

collect like terms'

3x-4x = -1-6

-x = -7

multiply through by -1

-(-x) = -(-7)

x = 7

Hence the value of x that will make triangles ABM and DCM congruent is 7

Answer: 3:20

Step-by-step explanation: There are 6 blue marbles. Altogether, there are 40 marbles. So it would be 6:40, which simplifies to 3:20.

The greatest common factor of 36 and 64 is 4.

Here,

To find the greatest common factor (GCF) of 36 and 64,

we can use the prime factorization method:

Step 1: Find the prime factorization of each number.

Prime factorization of 36:

36 = 2 * 2 * 3 * 3

Prime factorization of 64:

64 = 2 * 2 * 2 * 2 * 2 * 2

Step 2: Identify the common prime factors and their lowest exponents.

Common prime factors: 2 * 2

Step 3: Multiply the common prime factors with their lowest exponents.

GCF(36, 64) = 2 * 2 = 4

So, the greatest common factor of 36 and 64 is 4.

To learn more on GCF click:

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  C

Step-by-step explanation:

The  sample  

                                                                                          Household Income

                                                                                     < $60,000    > $60,000

I would never purchase a newspaper subscription.          40                63

I might or might not purchase a newspaper subscription. 53                70

I would probably purchase a newspaper subscription.     65                 32

I already purchase a newspaper subscription.                   73                 16

Generally the sample size is mathematically represented as

       [tex]n = 40 + 53 + 65+ 73 + 63 + 70 + 32+ 16[/tex]

=>    [tex]n = 412[/tex]

Generally the number of the sample with an income greater $60,000 is mathematically represented as

        [tex]N = 63 + 70 + 32 + 16[/tex]

=>     [tex]N = 181[/tex]

Generally the number of  families with an income more than $60,000 who might or might not purchase a newspaper subscription is

      [tex]X = 70[/tex]

Generally the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription is

           [tex]P(X) = \frac{70}{181} * 100[/tex]

=>        [tex]P(X) = 39\%[/tex]