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ioda
4 years ago
15

Determine the final balance from depositing $8,000 compounded quarterly for 6 years at 3% annual

Mathematics
1 answer:
cupoosta [38]4 years ago
3 0

Answer:

$9571.31

Step-by-step explanation:

Quarterly compounded equation: A = P(1 + r/n)^nt

Step 1: Plug in variables

A = 8000(1 + 0.03/4)^10

Step 2: Solve

And you should get 9571.31 as your final answer.

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Your parents are renting an apartment for you when you go away to college. An annual contract is $502.00/month with a 2-month pe
Vikentia [17]

Answer:

<em>The month-to-month contract will cost an extra $1356.</em>

Step-by-step explanation:

"An annual contract is $502.00/month with a 2-month penalty if you break the lease."

If you stay the whole year, and you pay $502 per month, you pay 12 * $502 = $6024 for the entire year.

"The month-to-month contract is $615.00/month."

If you stay the entire year, you pay 12 * $615 = $7380.

The difference is $7380 - $6024 = $1356

5 0
4 years ago
A 15 ft. telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42 angle.
erastovalidia [21]

The correct answer is A wire=22.4ft distance 16.7ft


5 0
4 years ago
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What do you know to be true about the values of p and q?
ss7ja [257]

Answer:

B

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

p = 180° - (80 + 20)° = 180° - 100° = 80° and

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7 0
3 years ago
A scientist dropped an object from a height of 200 feet. She recorded the height of the object in 0.5-second intervals. Her data
Reil [10]
The quadratic model is given by:
 y = ax2 + bx + c
 We evaluate three points to find the values of a, b and c.
 We have then:
 For (0, 200):
 200 = a (0) 2 + b (0) + c
 c = 200
 For (0.5, 195):
 195 = a * (0.5) ^ 2 + b * (0.5) +200
 195-200 = a * (0.5) ^ 2 + b * (0.5)
 -5 = 0.25a + 0.5b
 For (1, 185):
 185 = a * (1) ^ 2 + b * (1) +200
 185-200 = a * (1) ^ 2 + b * (1)
 -15 = a + b
 Solving the system:
 -5 = 0.25a + 0.5b
 -15 = a + b
 We have the following results:
 a = -10
 b = -5
 Substituting:
 y = -10x ^ 2 - 5x + 200
 For x = 3 we have:
 y = -10 (3) ^ 2 - 5 (3) + 200
 y = - 90 - 15 + 200
 y = 95
 Answer:
 
the height at 3 seconds is:
 
y = 95 feet
3 0
3 years ago
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