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3 years ago

5

%20%3D%20%7B3%7D%5E%7B2%7D%20%20find%20%5C%3A%20the%20%5C%3A%20value%20%5C%3A%20of%20%5C%3A%20x" id="TexFormula1" title="{3}^{5} \times {3}^{7} \times {3}^{x} = {3}^{2} find \: the \: value \: of \: x" alt="{3}^{5} \times {3}^{7} \times {3}^{x} = {3}^{2} find \: the \: value \: of \: x" align="absmiddle" class="latex-formula">

1 answer:

Irina-Kira [14]3 years ago

3 0

Answer:

The answer is x= -10

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3 years ago

Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old. How much will be in the account when he

weeeeeb [17]

Answer:

$11535.60

Step-by-step explanation:

We have been given that Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old.

To find the amount that Jackson will earn when he is 40 years old, we will use compound interest formula.

$A=P\cdot e^{rT}$

A= Amount after T years.

P= Principal amount.

e= Mathematical constant e.

r= Interest rate (in decimal form).

T= Time in years.

Let us convert our given interest rate into decimal form.

$3.8\text{ percent}=\frac{3.8}{100}=0.038$

Upon substituting our given values in above formula we will get,

$A=5000\cdot e^{(0.038\times (40-18))}$

$A=5000\cdot e^{(0.038\times 22)}$

$A=5000\cdot e^{0.836}$

$A=5000\cdot 2.307120015126555$

$A=11535.600075632775\approx 11535.60$

Therefore, Jackson will have $11535.60 in his account when he is 40 years old.

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3 years ago