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3 years ago

Please help due soon!!

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

7 0

Answer:

200.96 ft^2

Step-by-step explanation:

The area of a circle is pi * r^2

This means that the area of that circle is pi * 8^2

8^2 * pi = 64 * 3.14 = 200.96

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You invest $5,000 into an account where interest compounds continuously at 3.5%. How long will it take your money to double? Rou

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Answer:

20 years

Step-by-step explanation:

<u>Continuous Compounding Formula</u>

$\large \text{$ \sf A=Pe^{rt} $}$

where:

A = Final amount
P = Principal amount
e = Euler's number (constant)
r = annual interest rate (in decimal form)
t = time (in years)

Given:

A = $10,000
P = $5,000
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Substitute the given values into the formula and solve for t:

$\sf \implies 10000=5000e^{0.035t}$

$\sf \implies \dfrac{10000}{5000}=e^{0.035t}$

$\sf \implies 2=e^{0.035t}$

$\sf \implies \ln 2=\ln e^{0.035t}$

$\sf \implies \ln 2=0.035t\ln e$

$\sf \implies \ln 2=0.035t(1)$

$\sf \implies \ln 2=0.035t$

$\sf \implies t=\dfrac{\ln 2}{0.035}$

$\implies \sf t=19.80420516...$

Therefore, it will take 20 years (to the nearest year) for the initial investment to double.

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2 years ago

Which value can be substituted for x to make this equation true? 14x+10=38

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Answer:

The answer is 2

Step-by-step explanation:

14 x 2 = 28

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38 = 38

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