Mathematics
11.04.2021 10:12
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Find the total amount on $12,400 principal compounded monthly at 8% interest after

Find the total amount on $12,400 principal compounded monthly at 8% interest after 46 years, 8 485,647.99
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kayla942783
kayla942783
4,8(74 marks)

$485,647.99

Step-by-step explanation:

Definition:

The notion of compound interest refers to the benefit (or cost) of the principal capital at an interest rate for a certain period of time, in which the interest earned at the end of each period is not withdrawn, but added to the principal capital . Therefore, interest is reinvested.

Formula:

A=P(1+\frac{r}{n} )^{n*t}

Variables:

A = total amount ย 

P = principal or amount of money deposited,

r = annual interest rate ย 

n = number of times compounded per year

t = time in years

Data:

P=$12400 , r=8% , n=12 and t=46 years

Calculation:

A=12,400(1+\frac{0.08}{12} )^{12*46}

A=12,400 * 1.006666666666666667^{552}

A=12,400 * 39.16516018

A = $485,647.99

Hope this helps!

khalibarnes001
khalibarnes001
5,0(19 marks)

b

Step-by-step explanation:

Because it shows all numbers

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