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olchik [2.2K]
3 years ago
9

a caravan crossed 1378 miles of desert in 85 days it traveled 22 miles the first day and 28 the second day if caravan traveled t

he same number of miles on the remaining days how many miles did it travel on each of those days
Mathematics
2 answers:
Ugo [173]3 years ago
8 0

Answer:

16 miles

Step-by-step explanation:

Number of days 83

83 divided by 1378 is 16

Ronch [10]3 years ago
7 0
Dist. travelled for the first 2 days
= 22 + 28
= 50

Dist. travelled for the remaining 83 days
= 1378 - 50
= 1328

Dist. travelled for EACH of the 83 days
= 1328 ÷ 83
= 16
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3 0
3 years ago
Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i
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3. 2nd option

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

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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.

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then


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A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

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The best will be 2nd option, because $8032.58>$7936.39

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3 years ago
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