Solve for u in the proportion. 70/100 = U/60 U= ?

Mathematics

2 answers:

Aliun [14]3 years ago

6 0

Answer:

U = 42

Step-by-step explanation:

70/100 = U/60

U = 42

disa [49]3 years ago

6 0

Answer:

U=42

Step-by-step explanation:

$frac{70}{100}=\frac{U}{60}\\\\\frac{7}{10}=\frac{U}{60}\\\\60(\frac{7}{10})=60(\frac{U}{60})\\\\\frac{60*7}{10}=U\\\\\frac{6*7}{1}=U\\\\U=42$

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podryga [215]

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2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$