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2 years ago

Use the function r=n-7 to find the value of r when n =10

Mathematics

1 answer:

harkovskaia [24]2 years ago

8 0

Answer:

r=3

Step-by-step explanation:

if n=10

r=n-7

r=(10)-7

r=3

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Please help!!!

svetoff [14.1K]

Answer:

Step-by-step explanation:

<u>Compound Interest</u>

It's the type of financial calculations that includes the interest of previous periods into the new interests earned by some initial investment or principal P.

If we want to compute the final value FV of a series of n payments R at a fixed compound interest rate i, then

$FV=F_m\cdot R$

Where

$\displaystyle F_m=\frac{(1+i)^n-1}{i}$

The question provides us the following data

i=10% compounded twice a year

n=3 1/2 years

FV=15,000

We need to convert the number of periods and the interest rate to a semester base:

$\displaystyle i=\frac{10}{100\cdot 2}=0.05$

$n=3.5\cdot 2= 7\ semesters$

Let's calculate Fm

$\displaystyle F_m=\frac{(1+0.05)^7-1}{0.05}=8.142$

Knowing that

$FV=F_m\cdot R$

Solving for R

$\displaystyle R=\frac{FV}{F_m}=\frac{15,000}{8.142}=1,842.30$

Sara should deposit $1,842.30 twice a year to have the down payment for her own restaurant

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2 years ago

Use the given information to find amount A in the account earning compound interest after six years when the principal is 3,500

stealth61 [152]

A=p(1+i/m)^mn
A=3,500×(1+0.0229÷12)^(12×6)
A=4,014.98

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2 years ago

The area of a rectangle is 200 square feet. Find its length if its width is 10 feet.

bearhunter [10]

Answer:

Step-by-step explanation:

In area you have to multiply so 10 x ? = 200

10 x 20 = 200

5 0

2 years ago

Solve for x. 4 x plus 1 equals 9 A. -2 B. 2 C. 3 D. -3

NeX [460]

Answer: C

Step-by-step explanation:

4x + 1 = 9

4x + 1 -1 = 9-1

4x=8

8/4=2

6 0

2 years ago

Read 2 more answers

Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600

melisa1 [442]

Answer: There is 3.994% continuous growth rate per hour.

Step-by-step explanation:

Since we have given that

Initial bacteria = 2600

After two and a half hours,

Number of bacteria = 2873

We need to find the continuous growth rate per hour.

As we know the equation for continuous growth rate per hour.

$y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%$

Hence, there is 3.994% continuous growth rate per hour.

3 0

3 years ago

Use the function r=n-7 to find the value of r when n =10​

Use the function r=n-7 to find the value of r when n =10