3/10=30/100=30%
7/20=35/100=35%
8/25=32/100=32%
Answer:
Height of the cylinder = 1.60yd
Step-by-step explanation:
Volume of a cylinder =
V = πr^2h
V - volume of cylinder
π - 3.142
r - radius of cylinder
h - height of cylinder
We are provided with
V - 80
r - 4
π - 3.142
h - ?
80 = 3.142 * 4^2 * h
80 = 50.272 * h
To find h, divide both sides by 50.272
80/50.272 = 50.272h/ 50.272
1.599 = h
h = 1.60yd
The time it will take the principal to grow to the desired amount is 0.7 years
Using the compound interest formula :
A = P(1 + r/n)^(nt)
A = final amount = 225,000
P = principal = 180,000
r = rate = 3.12%
n = Number of compounding times per period = 12(monthly)
t = time
225000 = 180000(1 + (0.0312 /12))^(12t)
Divide both sides by 180000
225000/180000 = (1 + (0.0312 /12))^(12t)
1.25 = 1.026^12t
Take the log of both sides
0.0969100 = 0.0111473 × 12t
0.0969100 = 0.1337676t
Divide both sides by 0.1337676 to isolate t
0.0969100 / 0.1337676 = t
0.7244 years
0.7 years
It will take 0.7 years for the amount to grow
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