Mathematics, 10.08.2021 01:00 vale1881

Damaris will be working at the local pool over his ten-week summer break. His net pay will be $167.30 each week. He hopes to have enough money to purchase a new pair of shoes that cost $175 by the end of his break. What percent of his net pay does Damaris need to save each week to reach his goal? Round to the nearest hundredth. (2 points) 1.05%
10.46%
11.37%

Answers: 1

Show answers

Answers

Answer from: lumikuz123

Damaris needs to save 10.46% of his net pay each week to purchase the new pair of shoes by the end of his break.

Given:

Net pay per week is $167.30Cost of new pair of shoes is $175Summer break is for 10 weeks

To find: The percentage of his net pay that Damaris needs to save each week to purchase the shoes by the end of his break

Let us assume that Damaris needs to save x% of his net pay each week to buy the shoes by the end of his break.

Then, savings per week is x% of $167.30, that is,

$\frac{x}{100}\times 167.30$

Then, his savings for 10 weeks is,

$10 \times \frac{x}{100}\times 167.30$

Since the summer break is for 10 weeks, Damaris' savings for the entire summer break is,

$10 \times \frac{x}{100}\times 167.30$

Damaris wants to buy the new pair of shoes by then end of the break. Then, his savings for the entire summer break should equal the cost of the new pair of shoes.

It is given that the cost of the new pair of shoes is $175.

Then, according to the problem,

$10 \times \frac{x}{100}\times 167.30 =175$

$x=\frac{175\times 100}{10\times167.30}$

x=10.460251

Rounding to the nearest hundredth, we have,

x=10.46

Thus, Damaris needs to save 10.46 % of his net pay each week to buy the shoes by the end of his break.

Learn more about percentage here:

Answer from: Quest

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200. after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes 1800 - 6400 which gets you 11,600.

Answer from: Quest

Can't really understand try to post again

Another question on Mathematics

Mathematics, 21.06.2019 19:00

You and a friend went to the movies.you spent half your money on tickets. then you spent 1/4 of the money on popcorn, $2 on candy, and $3 on a soda. if you have $1 left, hiw much money did u take to the movies?

Answers: 1

Answer

Mathematics, 21.06.2019 20:20

How do the number line graphs of the solutions sets of -23 > x and x-23 differ?

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

Answers: 3

Answer

Mathematics, 22.06.2019 04:00

Round each decimal to the nearest hundredth

Answers: 2

Answer

You know the right answer?

Damaris will be working at the local pool over his ten-week summer break. His net pay will be $167.3...

Questions