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3 years ago

9

If Eric Sanchez saves $60 a month by using coupons and doing comparison shopping, (a) what is the amount for a year? (b) What wo

uld be the future value of this annual amount over 10 years, assuming an interest rate of 3 percent?

1 answer:

svetoff [14.1K]3 years ago

4 0

A. Annual Savings = $60 * 12 = $720

b. $8384.48

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Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:

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Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

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$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

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$T=72-20e^{-0.08t}$

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3 years ago

This will be so helpful right now thank

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Answer:

55 ft.

Step-by-step explanation:

First find the area of Lot X

67 • 70 = 4,690

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8,375 - 4,690 = 3,685

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Now divide 3,685 by the length of Lot Y : 67

3,685 ÷ 67 = 55

The width of Lot Y is 55 ft.

Hope this helps!

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