3 years ago

Please help ASAP the question is in the picture and please explain why and how u got the answer

Mathematics

1 answer:

Lemur [1.5K]3 years ago

6 0

could you show the picture up closer, so i can see?

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You made 1⁄2 quart of lemonade. How many 1⁄4 quart-sized glasses will you be able to fill with lemonade

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Answer:

Hey! I believe this is your answer:

4 glasses

Hope this helped!

Step-by-step explanation:

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2 years ago

The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

anzhelika [568]

Answer:

a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

Step-by-step explanation:

a) The preset value equation is given by this formula:

$P=\int^{T}_{0}f(t)e^{-rt}dt$

where:

T is the period in years (T = 10 years)
r is the annual interest rate (r=0.08)

So we have:

$P=\int^{T}_{0}(0.01t+100)e^{-rt}dt$

Now we just need to solve this integral.

$P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt$

$P=e^{-0.08t}(-1.56-0.13t)|^{10}_{0}+1250e^{-0.08t}|^{10}_{0}$

$P=0.30+688.34=688.64 $$

The present value is 688.64 $

b) The accumulated amount of money flow formula is:

$A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt$

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

$A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P$

$A=e^{0.08\cdot 10}688.64=1532.60 $$

The accumulated amount is 1532.60 $

Have a nice day!

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3 years ago

A sofa is on sale for 73% off. The sale price is $172.80. What is the regular price?

Lapatulllka [165]

To get the answer you have to divide the sale price $172.80 by 73%.
So first you turn 73% into a decimal by moving the decimal two places to the left turning it into .73

$172.80 divided by .73 = $236.71

You can check by then multiplying $236.71 with .73

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I think the interest is 10.60.
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