For each of the following accounts, determine the percent change per compounding period. Give your answer in both decimal and percentage form.
a. Account A has a 3% APR compounded monthly. Determine the percent change per compounding period.
i. Decimal form Preview
ii. Percentage form % Preview
b. Account B has a 6.3% APR compounded quarterly. Determine the percent change per compounding period.
i. Decimal form: Preview
ii. Percentage form % Preview
c. Account A has a 3.4% APR compounded daily. Determine the percent change per compounding period.
i. Decimal fo rm: Preview
ii. Percentage form % Preview

Respuesta :

Answer:

a) 0.0025, 0.25%

b) 0.01575, 1.575%

c) 0.00009315, 0.009315%

Step-by-step explanation:

We are given the following in the question:

a) 3% APR compounded monthly.

[tex]r = \displaystyle\frac{3\%}{12} = \frac{0.03}{12} = 0.0025\\\\\text{In decimal form}\\ = 0.0025\\\text{In percentage}\\=0.0025\times 100\% = 0.25\%[/tex]

b) 6.3% APR compounded quarterly.

[tex]r = \displaystyle\frac{6.3\%}{4} = \frac{0.063}{4} = 0.01575\\\\\text{In decimal form}\\ = 0.01575\\\text{In percentage}\\=0.01575\times 100\% = 1.575\%[/tex]

c) 3.4% APR compounded daily.

[tex]r = \displaystyle\frac{3.4\%}{365} = \frac{0.034}{365} = 0.00009315\\\\\text{In decimal form}\\ = 0.00009315\\\text{In percentage}\\=0.00009315\times 100\% = 0.009315\%[/tex]