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iren2701 [21]
2 years ago
8

Gary's parents want him to attend The University of Houston. They opened a college savings account 15 years ago. Today, average

yearly tuition and fees for one year at the university are about $10,350. Based on this information, about how much should Gary's parents have saved each of the 15 years to cover the cost of 4 years at The University of Houston?
Mathematics
1 answer:
Vikki [24]2 years ago
6 0

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Today, average yearly tuition and fees for one year at the university are about $10,350.

I will assume a yearly interest rate of 8%.

<u>First, we need to calculate the total amount needed:</u>

Future value (FV)= 10,350*4= $41,400

<u>Now, using the following formula, the annual deposit required:</u>

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (41,400*0.08) / [(1.08^15) - 1]

A= $7,194.22

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3 years ago
Help please! Calculate the exact value of cos (a-b) given that sin a= 12/13 with pi/2
zloy xaker [14]

Answer:

56/65

Step-by-step explanation:

First, we know that cos(a-b) = cos(a)cos(b) + sin(a)sin(b)

We know what sin(a) and sin(b) are, and to get cos(a), we can take the equation sin²a + cos²a = 1

Thus,

(12/13)² + cos²a = 1

1 - (12/13)² = cos²a

1- 144/169 = cos²a

cos²a = 25/169

cos(a) = 5/13

Similarly,

(3/5)² + cos²b = 1

1 - (3/5)² = cos²b

1 - 9/25 = cos²b

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cos(b) = 4/5

Our answer is

cos(a-b) = cos(a)cos(b) + sin(a)sin(b)

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cos(a-b)  = 56/65

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2 years ago
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