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motikmotik
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?
Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0
A. Annual Savings = $60 * 12 = $720

b. $8384.48
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Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.
julia-pushkina [17]
Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:

c(p) = 0.42p

Where: c(p) = total cost of sugar bought
p = pounds of sugar

c(p) is a function of p, because c(p) depends on p.
5 0
3 years ago
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A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati
I am Lyosha [343]

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:

T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20

We also know that at t=2, T=55°F

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

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

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

7 0
3 years ago
This will be so helpful right now thank
RoseWind [281]

Answer:

55 ft.

Step-by-step explanation:

First find the area of Lot X

67 • 70 = 4,690

Subtract the are of Lot X from the total area

8,375 - 4,690 = 3,685

3,685 is the area of Lot Y

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!

5 0
3 years ago
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ahrayia [7]
If the value of a is positive, the line slopes upwards.
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3 years ago
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Four less than a number is twenty
Solnce55 [7]
The answer would be 24 because 24-4 is 20
7 0
3 years ago
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