You deposit $3000 in an account with an APR 7.5% and continuous compounding. How much will you have after 20 years?

Mathematics

1 answer:

BartSMP [9]3 years ago

8 0

Answer:

I = $4,500

Step-by-step explanation:

Simple Interest (I) = PRT / 100

Where:

P= Principal (Amount deposited) = $3000

R= Rate = 7.5%

T= Time = 20 years.

Simple Interest (I) = PRT / 100

I = ($3000 * 7.5 * 20) / 100

I = $450,000 / 100

I = $4,500.

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The width of a rectangle is 75% the length of the rectangle. the perimeter of the rectangle is 42 inches. a circle is drawn that

matrenka [14]

Answer:

x = 56.25

Step-by-step explanation:

The sides of the rectangle are in the ratio 3:4, so those together with the diagonal of the rectangle make a 3-4-5 right triangle. The sum of these adjacent-side ratio units is 3+4 = 7, so the perimeter in ratio units is 2×7 = 14. The actual perimeter is 42 inches, so each ratio unit must stand for ...

(42 in)/(14 units) = 3 in/unit

The diagonal of the rectangle is the diameter of the circle. Its length is 5 units, or ...

(5 units)×(3 in/unit) = 15 inches.

Then the radius is half the diameter, or 7.5 inches.

The area of a circle is given by ...

A = πr² = π(7.5 in)² = 56.25π in²

The value of x is 56.25.