<span>1.) Previous balance = 3529.30
APR = 18.6%, thus monthly interest rate = 18.6 / 12 = 1.55%
Previous balance + interest = 3529.30(1 + 0.0155) = 3584.00
New balance after transaction = 3584.00 + 148 = 3732.00
2.) Previous balance = 5834.53
APR = 20.4%, thus monthly interest rate = 1.7%
Previous balance - payment = 5834.53 - 150 = 5680.53
Balance + interest = 5634.53(1 + 0.017) = 5781.17
New balance after transaction = 5781.17 + 325 = 6106.17
3.) Total payment = 15264
Number of payments = 72 monthly payments
Monthly payment = 15264 / 72 = 212
4.) Amount bollowed = 7400 at 7% APR
Amount plus interest = 7400(1 + 0.07) = 7918
Monthly payment = 7918 / 12 = 659.83
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Answer:
2³
Step-by-step explanation:
8 = 2 × 2 × 2 = 2³
The volume is 13*7*5. Therefore, the answer is 455 in^3
ANSWER
EXPLANATION
From the Pascal's triangle,
The coefficients are :
1, 5, 10,10, 5,1
Because of the negative sign, the expansion will alternate sign.
We now put y=5 into the expansion to get,
Answer:
We conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
Step-by-step explanation:
Given
f(x) = 4x² - 1
g(x) = 1/2x + 5
h(x) = 2(x - 4)³
To determine
h(f(-1)) = ?
In order to determine h(f(-1)) first we need to determine f(-1).
substitute x = -1 in the function f(x) = 4x² - 1
f(-1) = 4(-1)² - 1
f(-1) = 4(1) - 1
f(-1) = 4-1
f(-1) = 3
so
h(f(-1)) = h(3)
now substitute h = 3 in the function h(x) = 2(x - 4)³
h(x) = 2(x - 4)³
h(3) = 2(3 - 4)³
h(3) = 2(-1)³
h(3) = 2(-1)
h(3) = -2
Thus,
h(f(-1)) = h(3) = -2
Hence, we conclude that:
h(f(-1)) = -2
∴ option D i.e. -2 is correct.
