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11111nata11111 [884]
3 years ago
15

A metal rod is placed in a rectangular box as shown in the figure. How long is the rod? Round your answer to the nearest tenth o

f an inch, if necessary.
A. 5.0 in. B. 12.1 in. C. 13.4 in. D. 14.2 in.

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0
Fist we find the legnth of the diagonal
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
c=5

now the other diagonal
11^2+5^2=c^2
121+25=c^2
146=c^2
sqrt both sides12.083
closest is B
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Answer:

31 years to triple the investment

Step-by-step explanation:

Initial investment = 300

Triple amount that is final amount = 300*3= 900

rate of interest = 3.5 % = 0.035

we need to find out number of years (t)

for compounded continuously we use formula

A= Pe^{rt}

A is the final amount

P is the initial amount

r is the rate of interest

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900 = 300e^{0.035*t}

Divide both sides by 300

3 =e^{0.035*t}

take 'ln' on both sides

ln(3) =ln(e^{0.035*t})

ln(3) = 0.035t ln(e)

ln(e)= 1

\frac{ln(3)}{0.035} = t

t= 31.3889

Round to nearest whole number

t= 31 years


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Hi there!  

»»————- ★ ————-««

I believe your answer is:  

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»»————- ★ ————-««  

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