Find the required annual interest rate, to the nearest tenth of a percent, for $ 1170 to grow to $ 1708 if interest is compounded quarterly for 6 years.
A) 6.4%
B) 1.6%
C) 3.2%
D) 7.9%

Step-by-step explanation:

The formula you need for this is

where A(t) is the final amount after the compounding is done, P is the initial investment, r is the interest rate in decimal form, n is the number of times per year that the money is compounded, and t is the time in years. Filling in accordingly:

First things first. Simplify by division and then multiply the n by the t to get the exponent:

Divide 1708 by 1170 to get the equation:

Undo the 24th power by taking the 24th root of both sides to get:

Now subtract 1 from both sides to get

Multiply both sides by 4 to finish it off and get that

r = .0635528 but since we want the percentage, we move the decimal 2 places to the right and round to r = 6.4% which is choice A.

10cm

step-by-step explanation:

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the answer is d

step-by-step explanation: