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Francisco invested 5,000 into an account that earns 3% compounded quarterly. How many times will Francisco earn interest after keeping the money in the account for 5 years.

Respuesta :

Answer:Amount = 10,002.21



Step-by-step explanation:4 x 5 = 20 times


2.-

Principal = 5,000

Interest rate per yr = 3%

Compounded times per yr = 4

Time in years = 5


The formula is amt = p*(1 + r/n) ^ (n*t),

thus

Amount = 5,805.92


3.-

If Time in years = 23.2

then

Amount = 10,002.56


4.-

Principal = 5,000.00

Interest rate per yr = 5.82%

Compounded times per yr = 4

Time in years = 12

Answer:

0.161184 times

Step-by-step explanation:

Since, the amount formula in compound interest,

[tex]A=P(1+r)^t[/tex]

Where,

P = principal amount,

r = rate per period,

t = number of periods,

Here, P = 5000,

Annual rate = 3 %,

So, the quarterly rate, r = [tex]\frac{3}{4}[/tex] = 0.75% = 0.0075

Time = 5 years,

Number of quarters, t = 5 × 4 = 20,

Hence, the amount after 5 years,

[tex]A=5000(1+0.0075)^{20}= \$ 5805.92071152=\approx \$ 5805.92[/tex]

Interest = $ 5805.92 - $ 5000 = $ 805.92,

[tex]\because \frac{I}{P} = \frac{805.92}{5000}=0.161184[/tex]

Therefore, he will earn 0.161184 times interest after keeping the money in the account for 5 years.

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