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Stolb23 [73]
3 years ago
7

A lottery offers two options for the prize. (7) Option A: $1000 a week for life. Option B: $600 000 in one lump sum. If you choo

se Option B, you have the opportunity to place the winnings into an investment that also makes regular payments, at a rate of 3%/a, compounded monthly. Which option would the winner choose if s/he expects to live for another 50 years? At what point in time is Option A better than Option B? Write a brief reflection about which option you would choose, and why (pay attention to the math, but reflect upon how much money you would want to be spending as opposed to saving).
Mathematics
1 answer:
Likurg_2 [28]3 years ago
6 0
I would go for b because I would have a little over half a million and I can use it to take care of my family
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You travel 3 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 4 miles upstream at a speed
shtirl [24]
<h3>Write a model in simplified form for the total time t (in hours) of the trip:</h3>

Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\

<h3>It takes 2.95 hours when r is 4 miles per hour</h3>

<em><u>Solution</u></em>:

Given that,

<h3>You travel 3 miles downstream in a kayak at a speed of r miles per hour</h3>

Downstream:

Speed = r miles per hour

Distance = 3 miles

Time taken is given as:

Downstream\ time = \frac{distance}{speed}\\\\Downstream\ time = \frac{3}{r} ------- eqn\ 1

<h3>You turn around and travel 4 miles upstream at a speed of 0.5r miles per hour</h3>

Upstream:

Speed = 0.5r miles per hour

Distance = 4 miles

Therefore,

Upstream\ time = \frac{4}{0.5r} -------- eqn 2

<h3>Finally, you turn around and return to your original starting point at a speed of  r + 1 miles per hour</h3>

Therefore,

time = \frac{1}{r+1} ----------- eqn\ 3

<em><u>a)Write a model in simplified form for the total time t (in hours) of the trip</u></em>

The total time taken is:

eqn 1 + eqn 2 + eqn 3

Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\

<em><u>b)How long does your trip take when r is 4 miles per hour?</u></em>

Substitute r = 4

Total\ time\ taken = \frac{3}{4} + \frac{4}{0.5 \times 4} + \frac{1}{4+1}\\\\Total\ time\ taken = 0.75 + 2 + 0.2\\\\Total\ time\ taken = 2.95

Thus it takes 2.95 hours when r is 4 miles per hour

8 0
3 years ago
Due in 3 min sum1 help
Lana71 [14]

Answer: B

For a number to be in correct scientific notation, the first number or the decimal number has to be less than 10. In this case, 75.3 is not less than 10, hence it is the incorrect answer.

4 0
3 years ago
Read 2 more answers
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