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Ne4ueva [31]
3 years ago
9

Wesley and Mia deposit $800.00 into a savings account which earns 15% interest compounded annually. They want to use the money i

n the account to go on a trip in 2 years. How much will they be able to spend?
where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:

1,058

Step-by-step explanation:

Interest= 800(.15)= 120 1 yr interest

A= 800 + 120= 920 on the 1st year

920 (.15)= 138 int. on the 2nd year

Therefore, 920+ 138= 1,058 final amount after 2 yrs.

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Write a real-world problem given the equation 2/3x = 12. Then solve the equation.
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Answer:

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Air pressure may be represented as a function of height (in meters) above the
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Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3>  P(h) =P_0e^{-0.00012h} </h3><h3> In this function P_o   is the air pressure at the surface of the earth, and h is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

P(h) =P_0e^{-0.00012h}

In order to calculate at what  height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute P(h)=0.5P_o into the function:

0.5P_o=P_0e^{-0.00012h}

2. Finally, you must solve for h.

Remember the following property of logarithms:

ln(b)^a=a*ln(b)\\\\ln(e)=1

Then, you get this result:

0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2

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Effectus [21]
538
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7 0
3 years ago
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