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andreyandreev [35.5K]
3 years ago
12

A paddle boat can move at a speed of 2 ​km/h in still water. The boat is paddled 16 km downstream in a river in the same time it

takes to go 8 km upstream. What is the speed of the​ river?
Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0
<span>going downstream - 

t = 14/(2 + v) 

going upstream - 

t = 7/(2 - v) 

14/(2 + v) = 7/(2 - v) 

(2 + v)/2 = 2 - v 

v = 2/3km/h</span><span>
</span>
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Lucy have $6400 if she invests<br> $1200 at 15% interest<br> compounded quarterly?
svet-max [94.6K]

Answer:

  11.4 years

Step-by-step explanation:

We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.

  FV = P(1 +r/n)^(nt)

for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...

  6400 = 1200(1 +0.15/4)^(4t)

  16/3 = 1.0375^(4t) . . . . divide by 1200

  log(16/3) = 4t·log(1.0375) . . . . take logarithms

  t = log(16/3)/(4·log(1.0375)) ≈ 11.4

It will take about 11.4 years for Lucy's investment value to be $6400.

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Please give brainliest
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