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miss Akunina [59]
3 years ago
12

The average annual salary for a teacher nationally is $58,353. This is projected to increase 2% per year for the next 4 years. W

hat will your projected annual salary be in four years?
Mathematics
1 answer:
mario62 [17]3 years ago
4 0

Answer:

\$63,163.16

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

y=a(1+r)^x

where

y is the average annual salary

x is the number of years

r is the rate of change

a is the initial value

In this problem we have

a=58,353\\r=2\%=2/100=0.02

substitute

y=58,353(1+0.02)^x

y=58,353(1.02)^x

For x=4 years

y=58,353(1.02)^4=\$63,163.16

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A builder buys bricks at the rate of $4.50 per brick for the first 10, $3.50 per brick for the next 10, and $2.50 for any additi
iogann1982 [59]
If the first 10 bricks come out at $ 4.5, I would be spending $ 45. The other 10 bricks come out at $ 3.5 so he would be spending $ 35. Therefore, he has $ 20 available to buy bricks at $ 2.5, which would be buying 8 additional bricks. Thus, in total, with $ 100, 28 bricks were purchased.

8 0
2 years ago
Jean and Sarah are buying tubs of ice cream. 2 scoops of ice cream are twice the price of 1 scoop of ice cream. Jean buys 4 tubs
liberstina [14]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the cost of 1 scoop of ice cream. Since the cost of 2 scoops of ice cream are twice the price of 1 scoop of ice cream, therefore the cost of 2 scoops of ice cream = 2x

Jean buys 4 tubs with 2 scoops in them and 2 tubs with 1 scoop each. Therefore the money spent by Jean is:

Money spent by Jean = 4(2x) + 2(x) = 8x + 2x = 10x

Sarah buys 2 tubs of 2 scoops and 4 tubs of 1 scoop. The money spent by Sarah is:

Money spent by Sarah = 2(2x) + 4(x) = 4x + 4x = 8x

Sarah spends 2.50 € less than Jean. Therefore:

Money spent by Sarah = Money spent by Jean - 2.5

8x = 10x - 2.5

2x = 2.5

x = €1.25

Therefore the cost of 1 scoop of ice cream is €1.25, the cost of 2 scoops of ice cream is €2.50.

Money spent by Jean = 10x = 10(1.25) = €12.5

Money spent by Sarah = 8x = 8(1.25) = €10

3 0
2 years ago
Please help!!!!! <br><br><br> Split using partial fraction decomposition
Rama09 [41]

Answer:

11

Step-by-step explanation:

11

6 0
2 years ago
There are 40 students playing dodge ball in a high school gym that is 100 feet long by 60 feet wide. There are 12,000 balls avai
shutvik [7]

Answer:

I've never done this before, but if it is balls per square foot, then i can figure it out. It is 2 balls per square foot

Step-by-step explanation:

If the gym is 100 ft by 60 ft, it will be 6,000 square ft. Since there are 12,000 balls, you divide it by 6,000 (12,000/6,000), which is 2, so it would be 2 balls per square foot

5 0
3 years ago
HELPPPP
fredd [130]

Not sure if this is correct but:

Step-by-step explanation: P = 2000

                                             R = 5% = 0.05

                                             n = 4

                                      y = 2000 ( 1 + \frac{0.05}{4}) ^{4t} = 2000 ( 1.0125 )

                                       Substitute values in the compound interest formula:

                                        y = P ( 1 + \frac{r}{n})^{nt} .

Hope this helps..                  

6 0
2 years ago
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