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Trava [24]
3 years ago
9

You invest $2,600 in an account that

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

$3,927.53

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

A = Pe^{rt}

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First change 8.25% to its decimal form:

8.25% -> \frac{8.25}{100} -> 0.0825

Next, plug in the values into the equation:

A=2,600e^{0.0825(5)}

A=3,927.53

The balance of the account after 5 years will be $3,927.53

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3 years ago
You deposit the same $10,000 into a bank account at 4% annual interest. How long will it take for the $10,000 to compound to $30
Readme [11.4K]

Answer:

time = 28 years

Step-by-step explanation:

Given,

principal amount = $10,000

rate = 4%

total amount = $30,000

According to compound interest formula

A\ =\ P(1+r)^t

where, A = total amount

            P = principal amount

            r = rate

            t = time in years

so, from the question we can write,

30000\ =\ 10000(1+0.04)^t

=>\ \dfrac{30000}{10000}\ =\ (1+0.04)^t

=>\ 3\ =\ (1.04)^t

by taking log on both sides, we will get

=> log3 = t.log(1.04)

=>\ t\ =\ \dfrac{log3}{log1.04}

=> t = 28.01

So, the time taken to get the amount from 10000 to 30000 is 28 years.

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3 years ago
The circumference of a circle is 15π ft. What is the area, in square feet? Express your answer in terms of π.
DerKrebs [107]

Answer:

  • Area of the circle is 56.25π square feet.

Step-by-step explanation:

<u>Given that</u>:

  • The circumference of a circle is 15π ft.

<u>To Find</u>:

  • What is the area, in square feet?

<u>We know that</u>:

  • Circumference of a circle = 2πR
  • Area of a circle = πR²

Where,

  • Radius is denoted as R.

<u>Finding the radius of the circle</u>:

Circumference of a circle = 15π

⟶ 2πR = 15π

⟶ 2πR = 2π × 7.5

Cancelling 2π.

⟶ R = 7.5

∴ Radius of the circle = 7.5 ft.

<u>Finding the area of the circle</u>:

⟶ Area = πR²

⟶ Area = π(7.5)²

⟶ Area = π × 7.5 × 7.5

⟶ Area = π × 56.25

⟶ Area = 56.25π

∴ Area of the circle = 56.25π ft.²

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