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Delicious77 [7]
3 years ago
12

Keisha's parents want to save twenty thousand dollars in her college savings account over the next fifteen years. They have eigh

t thousand dollars to use as an initial deposit. What simple annual interest rate do they need to meet their goal? Round your answer to the nearest tenth. Select one: A. two point five percent B. two point seven percent C. ten percent D. twelve percent
Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

The correct answer is C because if you use the simple interest formula I=PRT The interest has to be $8000+X=$20,000 (X=12,000) P stands for the beginning amount of money ($8000) the R stands for the rate (you don't know this for sure yet) and the T stands for the amount of time(15 years) $12,000=$8000(R)(15) $8000(15)=120,000 $12,000=120,000(R)  $12,000/120,000=120,000(R)/120,000 R=0.1 then multiply by 100 to get the percent of 10% therefore C is your answer.
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Find all possible answers and check your solutions.Solve equation.
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4 0
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Read 2 more answers
Expand and simplify
coldgirl [10]

Answer:

A) -p + 38

B) k + 1

C) a_n = 4n + 1

D) a_n = 7n - 6

E) a_n = 14 - 4n

Step-by-step explanation:

A) 5(p + 6) - 2(3p + 4)

Multiply out the bracket to get;

5p + 30 - 6p + 8

>> -p + 38

B) 7(k - 2) - 3(2k - 5)

Multiply out the bracket to get;

>> 7k - 14 - 6k + 15

>> k + 1

C) Sequence is;

5, 9, 13, 17, 21

This is clearly an AP(arithmetic progression) because the difference between each term is 4.

Formula for nth term of an AP is;

a + (n - 1)d

Where d is difference and a is first term

Thus;

a_n = 5 + (n - 1)4

a_n = 5 + 4n - 4

a_n = 4n + 1

D) Sequence is 1, 8, 15, 22, 29.

This is also an AP.

Difference is 7.

Thus,nth term is;

a_n = 1 + (n - 1)7

a_n = 1 + 7n - 7

a_n = 7n - 6

E) 10, 6, 2, -2, -6

This is also an AP.

Difference is -4

Thus,

a_n = 10 + (n - 1)(-4)

a_n = 10 - 4n + 4

a_n = 14 - 4n

5 0
2 years ago
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