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Crazy boy [7]
3 years ago
7

Max has been offered positions by two car companies. The first company pays a salary of $12,500 plus commission of $1500 for eac

h car sold. The second company pays a salary of $17,500 plus a commission of $500 per car sold. How many cars would need to be sold to make the total pay the same
Mathematics
1 answer:
adell [148]3 years ago
7 0

Answer:

5 Cars

Step-by-step explanation:

Let the number of cars to be sold to make the total pay equal be x.

The first company pays a salary of $12,500 plus commission of $1500 for each car sold.

  • Algebraically written as: 12500+1500x

The second company pays a salary of $17,500 plus a commission of $500 per car sold.

  • Algebraically written as: 17500+500x

Equating both sides

12500+1500x=17500+500x

Collect like terms

1500x-500x=17500-12500

1000x=5000

Divide both sides by 1000

x=5

Therefore, when 5 cars are sold, the total pay would be the same.

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Suppose that $3000 is placed in an account that pays 16% interest compounded each year. Assume that no withdrawals are made from
Papessa [141]

Answer:

a) $3480

b) $4036.8

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Suppose that $3000 is placed in an account that pays 16% interest compounded each year.

This means, respectively, that P = 3000, r = 0.16, n = 1

So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 3000(1 + \frac{0.16}{1})^{t}

A(t) = 3000(1.16)^{t}

(a) Find the amount in the account at the end of 1 year.

This is A(1).

A(t) = 3000(1.16)^{t}

A(1) = 3000(1.16)^{1} = 3480

(b) Find the amount in the account at the end of 2 years.

This is A(2).

A(2) = 3000(1.16)^{2} = 4036.8

4 0
3 years ago
A moving sidewalk in an airport moves people between gates. It takes Jason's 8-year-old
likoan [24]

Answer:

The sidewalk moves at 0.5 ft/sec

Josie's speed walking on a non-moving ground is 3.5ft/sec

Step-by-step explanation:

Let x represent the speed of the side walk and y represent her walking speed

It takes Jason's 8-year-old daughter Josie 44 sec to travel 176 ft walking with the sidewalk

Distance = speed × time

176 = (x+y)×44

44x+44y = 176

x+y = 4 .......1

It takes her 7 sec to walk 21 ft against the moving sidewalk in the opposite direction).

21 = (y-x)7

7y - 7x = 21

y - x = 3 ......2

Add equation 1 to 2

2y = 7

y = 3.5 ft/sec

From equation 1

x + y = 4

x = 4 - 3.5 = 0.5

x = 0.5 ft/sec

The sidewalk moves at 0.5 ft/sec

Josie's speed walking on a non-moving ground is 3.5ft/sec

6 0
3 years ago
Read 2 more answers
A walking trail is 3.8 miles long. If Gertrude walked the length of the 1 walking trail 13 times, how many miles did Gertrude wa
luda_lava [24]

Answer:

49.4 miles.

Step-by-step explanation:

3.8 × 13 = 49.4 (miles)

6 0
3 years ago
Graph the system of equations on your graph paper to answer the question. {y=−x+3
makkiz [27]
The answer is (x, y) = (-1, 4) hope this helped

5 0
3 years ago
Does this graph show a function? Explain how you know.
Sav [38]
A. It passes the vertical line test
4 0
3 years ago
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