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Delicious77 [7]
4 years ago
12

Keisha's parents want to save twenty thousand dollars in her college savings account over the next fifteen years. They have eigh

t thousand dollars to use as an initial deposit. What simple annual interest rate do they need to meet their goal? Round your answer to the nearest tenth. Select one: A. two point five percent B. two point seven percent C. ten percent D. twelve percent
Mathematics
1 answer:
Phantasy [73]4 years ago
6 0

The correct answer is C because if you use the simple interest formula I=PRT The interest has to be $8000+X=$20,000 (X=12,000) P stands for the beginning amount of money ($8000) the R stands for the rate (you don't know this for sure yet) and the T stands for the amount of time(15 years) $12,000=$8000(R)(15) $8000(15)=120,000 $12,000=120,000(R)  $12,000/120,000=120,000(R)/120,000 R=0.1 then multiply by 100 to get the percent of 10% therefore C is your answer.
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Four families went out for lunch. The total food
dybincka [34]

Answer:

Each family spent about 34.25 on dinner

Step-by-step explanation:

$167 - $30 (tip) = 137

137 ÷  4 (for each family) = 34.25

BUT

if each family is seperate than they each spent about 11.75 on dinner

167 - (30 x 4) = 47

47 ÷  4 = 11.75

I'm pretty sure the first one is the answer though

7 0
3 years ago
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Find the component form of the vector that translates P(4,5) to p'.
Veronika [31]

Answer:

Component form : (-7 , 2)

Step-by-step explanation:

P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)

4 + x = -3

    x = -3 - 4

    x = -7

5 + y = 7

     y = 7 - 5

     y = 2

Vector form : -7i + 2j

Component form : (-7 , 2)

4 0
3 years ago
Math quiz please help me out ASAP
Nastasia [14]

Answer:

The coordinates of point c: (7,5)

The coordinates of point D:(8,1)

3 0
3 years ago
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
4 years ago
What the square root of 49
luda_lava [24]

Answer:

7

Step-by-step explanation:

6 0
3 years ago
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