Answer:
C=25.13cm
Step-by-step explanation:
A=50.24
A=πr^2
C=2πr
Solving for C
C=2 square root πA=2xsquare root πx50.24=25.12637cm
14 12/8 or 15 4/8 = 15 1/2
the difference in the amount of interest Stephanie would have to pay for each of these two loans is $1950 . Correct option D) .
<u>Step-by-step explanation:</u>
Here we have , Stephanie is taking out a loan in the amount of $15,000. Her choices for the loan are a 4-year loan at 3% simple interest and a 5-year loan at 5% simple interest. We need to find the difference in the amount of interest Stephanie would have to pay for each of these two loans . let's find out:
a 4-year loan at 3% simple interest :
⇒
{ As loan is for 4 years we multiply by 4 }
⇒ 
⇒ $
a 5-year loan at 5% simple interest :
⇒
{ As loan is for 5 years we multiply by 5 }
⇒ 
⇒ $
So , Difference = $3750 - $1800 = $1950
Therefore , the difference in the amount of interest Stephanie would have to pay for each of these two loans is $1950 . Correct option D) .
Answer:
x = 2
Step-by-step explanation:
To find the x-value that makes the equation true, we would have to solve for x in the equation. To do that, we would have to get the equation in the form x = _. That would be our answer.
4x - 3 = -9 + 7x
Add 9 to both sides to get rid of the -9 on the right side.
4x - 3 + 9 = 7x
Simplify.
4x + 6 = 7x
Subtract 4x from both sides to get rid of the 4x on the left side.
6 = 7x - 4x
Simplify.
6 = 3x
3x = 6
Divide both sides by 3 to get rid of the coefficient of 3 on the left side.
x = 6/3
Simplify.
x = 2
So, the x-value that makes the equation true would be 2.
I hope this helps. :)
Answer:
AB: size 4 x 4
BA: size 2 x 2
Step-by-step explanation:
When we want to multiply two matrices, we need first to check if the number of columns of the first matrix is equal the number of rows of the second matrix. Then, the resulting matrix would have the number of rows equal the number of rows of the first matrix, and the number of columns equal the number of columns of the second matrix.
That is, if we have a matrix A with dimensions a x b and a matrix B with dimensions c x d, to calculate the product AB we must have b = c, and the resulting product would have dimensions a x d.
Finally, if A is 4 x 2 and B is 2 x 4, we would have:
AB = (4 x 2) (2 x 4)
2 = 2 -> product is possible.
Dimensions of the result: 4 x 4
BA = (2 x 4) (4 x 2)
4 = 4 -> product is possible.
Dimensions of the result: 2 x 2