Answer:
$74,748.11
Step-by-step explanation:
In order to make use of the amortization formula, we need to find the equivalent monthly interest rate.
When 12% interest is compounded continuously, the annual multiplier is ...
e^0.12 ≈ 1.127497
The equivalent multiplier when the interest is compounded monthly is the 12th root of this,
(e^0.12)^(1/12) = e^0.01 ≈ 1.0100502 = 1 + r
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The amortization formula tells us that monthly payment amount A will pay off principal P in n months:
P = A(1 -(1 +r)^-n)/r = $900(1 -1.0100502^-180)/0.0100502
P = $74,748.11
The customer can pay off a 12% loan of $74,748.11 at the rate of $900 per month for 15 years.
9514 1404 393
Answer:
7x
Step-by-step explanation:
We can factor out x and simplify.
4x +3x = x(4 +3) = 7x
Since the two cylinders are congruent, it means that their dimensions are exactly the same thing.
In other words, the radius of cylinder 1 is the same as that of cylinder 2, and the height of cylinder 2 is the same as that of cylinder 1. This is what it means for two solid shapes to be congruent.
Now, to find the volume of cylinder 2, we apply the frmula for the volume of a tyical cylnder:
Now,
radius of cylinder 2 = radius of cylinder 1 = 3
height of cylinder 2 = 8
Thus: r = 3, h= 8
Therefore:
Therefore the volume of cylinder 2 is 72pi cubic units (Option D)
Answer:
f(3)=1
Step-by-step explanation:
take f(x)=2(x)-5
put a three wherever you see an x in parentheses
f(3)=2(3) - 5
simplify
f(3)=6-5
simplify
f(3)=1
answer:f(3)=1
A+b+c=56
a=√625=25
b=2√81 = 2x9=18
c = 56-25-18=13