Find each unit rate

You paint 1/3 of a wall in 1/4 hour. At that rate, how long will it take you to paint one wall?

Basile [38]

Time for job = 3/4 hr/job = 45 minutes to do the whole job.

8 0

3 years ago

The polygons are similar, but not necessarily drawn to scale. Find the scale factor. Find the value of x. Find the value of y.

Tatiana [17]

Answer:

x = 5

y = 9

Step-by-step explanation:

Since the scale is 2, the side of x needs to 4 because the corresponding side on the other figure is 2 (2 * 2 = 4).

So, x - 1 = 4

x = 5

Similar to the y side, the y side needs to be 10.

So, y + 1 = 10

y = 9

3 0

3 years ago

Please help this is my 3rd time asking :(

Ainat [17]

Answer:

$6

Step-by-step explanation:

She bought a toy for 4 dollars, so we need to subtract that from 88. This gives us 84 dolalrs. She bought 8 shirts and 6 pants, which is 14 items total. Divide 88 by 14 and you get 6.

Hope that helps :)

4 0

2 years ago

Read 2 more answers

suppose you deposit $1000 in a savings account that pays 4.8% interest compounded monthly. Write an exponential function to mode

zubka84 [21]

Answer:

The exponential function is $A(t) = 1000(1.004)^{12t}$ .

You will have $1,100.55 in the account after 2 years.

Step-by-step explanation:

Compound interest:

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.

Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.

This means that $P = 1000, r = 0.048, n = 12$ . So

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

$A(t) = 1000(1 + \frac{0.048}{12})^{12t}$

$A(t) = 1000(1 + 0.004)^{12t}$

$A(t) = 1000(1.004)^{12t}$

This is the exponential function

How much will you have in your account after 2 years?

This is A(2). So

$A(2) = 1000(1.004)^{24} = 1100.55$

You will have $1,100.55 in the account after 2 years.

5 0

2 years ago

A bookshop had 650 copies of a book for sale. The books were marked at 75 per copy in order to make a profit of 30%. A bookselle

Ganezh [65]

Answer:

The percentage profit of the bookshop will make on the whole is 27%.

Step-by-step explanation:

The following are given in the question:

Copies of books for sale = 650

Selling price per copy = 75

Copies sold at 5% discount = 300

Discount rate = 5%, or 0.05

Percentage profit per copy = 30%, or 0.30

To calculate cost per copy, the following formula is used:

Percentage profit per copy = (Selling price per copy – Cost per copy) / Cost per copy …….. (1)

Substituting the values into equation (1) and solve for Cost per copy, we have:

30% = (75 - Cost per copy) / Cost per copy

0.30 * Cost per copy = 75 - Cost per copy

(0.30 * Cost per copy) + Cost per copy = 75

1.30 * Cost per copy = 75

Cost per copy = 75 / 1.30

Cost per copy = 57.6923076923077

Therefore, we have:

Total cost = Copies of books for sale * Cost per copy = 650 * 57.6923076923077 = 37,500

Selling price at 5% discount = 75 * (100% - Discount rate) = 75 * (100% - 5%) = 75 * 95% = 71.25

Revenue from sales at selling price at 5% discount = Selling price at 5% discount * Number of sales at 5% discount = 71.25 * 300 = 21,375

Revenue from the remaining copies sold at 75 per copy = (Copies of books for sale - 300) * 75 = (650 - 300) * 75 = 350 * 75 = 26,250

Total revenue = Revenue from sales at selling price at 5% discount + Revenue from sales at 75 per copy = 21,375 + 26,250 = 47,625

Total profit = Total revenue - Total cost = 47,625 - 37,500 = 10,125

To calculate the percentage profit of the bookshop will make on the whole, the following formula is used:

Percentage profit on the whole = (Total profit / Total cost) * 100 ................ (2)

Substituting the relevant values form above into equation (2), we have:

Percentage profit on the whole = (10,125 / 37,500) * 100

Percentage profit on the whole = 0.27 * 100

Percentage profit on the whole = 27%

Therefore, the percentage profit of the bookshop will make on the whole is 27%.

3 0

3 years ago