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3 years ago

Apply the distributive property to factor out the greatest common factor 22c+33d

1 answer:

5 0

What you need to do is find a common multiple which is 11, Then you divide 22c and 33d by 11 so you get 2c and 3d Then since there is an addition sign you put 2c and 3d is ()
The Final answer is
11(2c+3d)

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Twelve more than twice a number is three more than eight times a number

svlad2 [7]

Answer:

9/10

Step-by-step explanation:

we substitute the unknown number as "x"

2x + 12 = 8x + 3

12 - 3 = 8x + 2x

9 = 10x

x = 9/10

4 0

3 years ago

A loan of $100,000 is made today. The borrower will make equal repayments of $3568 per month with the first payment being exactl

Makovka662 [10]

Answer:

The yearly interest rate is 5.20%.

Step-by-step explanation:

This is a compound interest problem

The compound interest formula is given by:

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

In which A is the amount of money, 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 unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

The loan outstanding is the value of the loan that has not been repaid.

Here, it is $$25,044.84$ .

To find the interest rate, we first have to find how much money the borrower will have to pay, that will be the value of A in the compound interest formula.

The total he will have to play is $$25,044.84$ plus the $3,568 he has already paid in each of the previous 2 years = 24 months. So:

$A = 25,044.84 + 24*3,568 = 110,676.84$ .

P is the value of loan, so $P = 100,000$

r is the interest rate, the value we have to find.

We have to find the annual interest rate, so $n = 1$ .

We found the total amount in 2 years, so $t = 2$ .

Solving

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

$110,676.84 = 100,000(1 + r)^{2}$

$(1 + r)^{2} = 1.1067684$

To find r, i will take the square root of both sides of the equation. So

$\sqrt{(1 + r)^{2}} = \sqrt{1.1067684}$

$1 + r = 1.0520$

$r = 0.0520$

The yearly interest rate is 5.20%.

7 0

3 years ago

A sticker company shipped a total of 289,005 stickers last month. This month, the company shipped 338,486 stickers. Estimate the

Viktor [21]

Answer: 627,490 Explanation: round both the numbers and add

7 0

2 years ago

What is the domain and range of the relation shown in the table?

seropon [69]

Answer:

domain: {2, -1, 5, -3}

range: {2, 4, 2, 0}

Step-by-step explanation:

domain : of all the input values shown on the x-axis.

range : the set of possible output values shown on the y-axis.

7 0

3 years ago

Max travels to see his brother's family by car. He drives 216 miles in 4 hours. What is his rate in miles per house? Use a doubl

Mashutka [201]

Answer:

54 miles/hour

Step-by-step explanation:

His rate in miles per hour will be also his speed: to calculate the speed, we just need to divide the total number of miles travelled by the total number of hours, so we will have the average speed in the course:

Speed = 216 miles / 4 hours = 54 miles/hour

So the rate Max travelled is 54 miles per hour.

4 0

3 years ago

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