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dusya [7]
3 years ago
12

A philanthropist deposits $8,000 in a trust fund that pays 5.5% interest, compounded continuously. The balance will be given to

the college from which the philanthropist graduated after the money has earned interest for 30 years. How much will the college receive? (Round your answer to the nearest cent.)
Mathematics
1 answer:
Alja [10]3 years ago
7 0

Answer: $41,655.8

Step-by-step explanation:

A=8000e (0.055) 30

A= 8000e1.65

41,655.839

Balance to be given to the college rounded to the nearest cent will be $41,655.8

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Answer:

The student is expected to spend <em>15.4 hours </em>doing homework

Step-by-step explanation:

The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below

To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)

The equation of a line, given two points (a,b) and (c,d) is

\displaystyle y-b=\frac{d-b}{c-a}(x-a)

Using the selected points

\displaystyle y-4=\frac{25-4}{4-28}(x-28)

Simplifying and computing results, the equation is

\displaystyle y=-\frac{7}{8}x+\frac{57}{2}

Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV

\displaystyle y=-\frac{7}{8}(15)+\frac{57}{2}=15.4 hours

So the student is expected to spend 15.4 hours doing homework

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3 years ago
Your family is going on a road trip to Disney World! On Day 1, you traveled x miles. On Day 2, you drove 58 miles more than 3 ti
Eva8 [605]

Answer:i need help with this also

Step-by-step explanation:

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2 years ago
Solve a variable source <br><br> x-7=15
mezya [45]

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Step-by-step explanation:

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4 0
3 years ago
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grandymaker [24]

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

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<u>Question 3</u>

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<u>Question 4</u>

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6 0
1 year ago
One angle of a right triangle measures 80degrees.what is the measure of the other acute angle
Damm [24]

Answer:

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Step-by-step explanation:

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3.) right=90 degrees; acute=<90 degrees

4.) 90+80=170

5.) 180-170=10

3 0
2 years ago
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