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Andrews [41]
2 years ago
5

You just won the lottery! as your prize you will receive $1,200 a month for 100 months (paid at the end of each month). if you c

an earn 3 percent annually on your money, what is this prize worth to you today (it's present value)
Mathematics
1 answer:
stiks02 [169]2 years ago
3 0
<span>D.</span>$ 87,003.69 i guessed it
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A culture started with 3000 bacteria. After 2 hours it grew to 3300 bacteria. Predict how many bacteria will be present after 16
bixtya [17]

Answer:

6,430\ bacteria

Step-by-step explanation:

we have a exponential function of the form

y=a(1+r)^{x}

where

y is the population of bacteria

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r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

y=3,000(1+r)^{x}

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substitute

3,300=3,000(1+r)^{2}

(3,300/3,000)=(1+r)^{2}

Apply square root both sides

1+r=\sqrt{3.3/3}

r=\sqrt{3.3/3}-1

r=0.0488

r=4.88\%

substitute in the equation

y=3,000(1+0.0488)^{x}

y=3,000(1.0488)^{x}

<u><em>Predict how many bacteria will be present after 16 hours</em></u>

For x=16 hours

substitute

y=3,000(1.0488)^{16}

y=6,430\ bacteria

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3 years ago
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