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ivanzaharov [21]
2 years ago
6

Subject

Mathematics
1 answer:
MaRussiya [10]2 years ago
8 0

a. The equation we get is <u>10(1.5 + x) = 80</u>, where x is the number of hours Sheila can afford to hire the babysitter.

b. Sheila can afford the babysitter for <u>6 hours and 30 minutes</u>.

c. The equation we get is <u>15(1 + x) = 80</u>, where x is the number of hours Sheila can afford to hire the new babysitter.

d. Sheila can afford to hire the new babysitter for <u>4 hours and 20 minutes</u>, while the first babysitter was hired for <u>6 hours and 30 minutes</u>.

Thus, Sheila <u>can't afford</u> the same amount of babysitting from the second sitter as she could from the first sitter.

a. We assume the hours affordable to Sheila be x hours.

Per hour charge of the babysitter = $10.

Time taken by the babysitter traveling = 1.5 hours.

Therefore, total chargeable time = 1.5 + x.

Therefore, the total charge by the babysitter = $10(1.5 + x).

This needs to be equal to the amount Sheila is willing to spend, that is, $80.

Thus, the equation we get is: 10(1.5 + x) = 80.

b. We are asked to determine the hours Sheila can afford to hire the babysitter.

We have got the equation 10(1.5 + x) = 80, where x is the hours Sheila can afford to hire the babysitter.

Thus, by solving this equation, we can determine the hours Sheila can afford to hire the babysitter.

10(1.5 + x) = 80,

or, 1.5 + x = 8,

or, x = 8 - 1.5 = 6.5 = 6 hours and 30 minutes.

Thus, Sheila can afford the babysitter for 6 hours and 30 minutes.

c. Per hour charge of the new babysitter = $15.

Time taken by the new babysitter traveling = 1 hour.

Therefore, total chargeable time = 1 + x.

Therefore, the total charge by the new babysitter = $15(1 + x).

This needs to be equal to the amount Sheila is willing to spend, that is, $80.

Thus, the equation we get is: 15(1 + x) = 80.

d. We are asked whether Sheila affords the same amount of babysitting from the second sitter as she could from the first sitter.

To determine this, we need to find the hours she affords from the second babysitter, for which, we solve the equation 15(1 + x) = 80 as  follows:

15(1 + x) = 80,

or, 1 + x = 80/15,

or, x = 80/15 - 1 = 65/15 = 13/3 = 4 hours and 20 minutes.

Sheila can afford to hire the new babysitter for 4 hours and 20 minutes, while the first babysitter was hired for 6 hours and 30 minutes.

Thus, Sheila can't afford the same amount of babysitting from the second sitter as she could from the first sitter.

Learn more about writing and solving equations at

brainly.com/question/24145091

#SPJ4

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Question 1 (Essay Worth 10 points)
zysi [14]

$394.51 is future value of money after 2 years.

What future value means?

  • A current asset's future value (FV), which is based on an estimated rate of growth, is its value at a later time.
  • Investors and financial planners use the future value to project how much an investment made now will be worth in the future.

The method that results in more money after 2 years is Peggy's investment.

Which method results in more money in 2 years?

The formula for calculating the future value of an investment:

FV = P (1 + r)^nm

FV = Future value

P = Present value

R = interest rate

m = number of compounding

N = number of years

Future value of Larry's investment: $350 x [1 + (0.04/4)]^(4 x 2) = $379

Future value of Peggy's investment: $350 x [1 + (0.06/12)]^(12 x 2) = $394.51

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4 0
1 year ago
max and his friend zeke are comparing their ages. they figure out that if they double maxs age from 3 years ago and add it to ze
Gre4nikov [31]
Let m be max's age
Let z be zekes age
2m+z=26
Sub in zekes age
2m+8=26
2m=26-8
2m=18
M=18/2
M=9
Remember: this is Max's age THREE YEARS AGO. Therefore, add three to get his current age
9+3=12
Therefore, Max is currently 12
Hope this helps!
4 0
3 years ago
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While his bank account was -$38, Gavin made 6 withdrawals of $5.
Semmy [17]
If you want to find the total in the bank account after the 6 withdrawals it would be a -$68.
4 0
3 years ago
Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first
Katarina [22]

Answer:

She read 277 pages during the second week.

Step-by-step explanation:

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3 0
3 years ago
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What is the product of -11 x 7
zepelin [54]

Answer:

-77

Step-by-step explanation:

Multiply 11 x 7 first which gives you 77. And since the Negative sign is before 11, which means the product negative always, it will be -77!

hope this helped!

7 0
3 years ago
Read 2 more answers
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