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3 years ago

What is one difference between fixed–rate mortgages and variable–rate mortgages?

1 answer:

6 0

Answer: The answer would be Variable- rate mortgages usually start at lower interest rates than fixed-rate mortgages.

Step-by-step explanation:

First of all let us know what fixed-rate mortgages and variable-rate mortgages are.

In fixed rate mortgages interest rates are fixed when we take loan and remain same for loan's entire term and it has nothing to do with market interest rate changes.

While in variable-rate mortgages interest rates may go up and down because it changes as market interest rate change.

Upon looking at our options we can see that option B is correct because usually variable-rate mortgages start at lower interest rates than fixed-rate mortgages and goes up or down according to market interest rate change.

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You need some cement to pave your driveway. The size of the driveway is 10 feet wide by 30 feet long by 13 foot deep. What volum

Anna71 [15]

Answer:

3,900

Step-by-step explanation:

What i did exactly to get my answer was i multiplied LxWxH

So meaning i did 10x 30 x 13 which got me this answer 3,900

I really try to be a good helper so I hope this helps you Good Luck!!!

8 0

3 years ago

Read 2 more answers

A center has a center at X(4, -3) and a point on the circle is W(8, 0). What is the location of Y on the diameter WY?

igor_vitrenko [27]

Answer: (0, -6)

Step-by-step explanation:

The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).

7 0

2 years ago

A rectangle has an area of 75.2m

Degger [83]

Answer:

94.8

Step-by-step explanation:

Aera is : length *width

75.2 = 0.8 * x then x =94

Perimeter is : length + width =94 +0.8

3 0

2 years ago

A fraction becomes 4÷5 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and den

tia_tia [17]

Answer:

$\dfrac{7}{9}$

Step-by-step explanation:

$\dfrac{x+1}{y+1}=\dfrac{4}{5}\\\Rightarrow 5x-4y=-1$

$\dfrac{x-5}{y-5}=\dfrac{1}{2}\\\Rightarrow 2x-y=5$

Putting it in matrix form

$\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}$

From Cramer's rule we have

$x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7$

$y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9$

Verifying the results

$\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}$

$\dfrac{7-5}{9-5}=\dfrac{2}{4}=\dfrac{1}{2}$

Hence, the fraction is $\dfrac{7}{9}$ .

6 0

3 years ago

Geometry The length of a rectangle is repfesented by 4a + 3b, and its width is represented by 3a 2b. Write a polynomial for the

Finger [1]

the correct question is
<span>The length of a rectangle is represented by 4a + 3b, and its width is represented by 3a-2b. Write a polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero </span>whole number?

we know that
Perimeter of a rectangle=2*[length + width]
length=(4a+3b)
width=3a-2b
so
P=2*[(4a+3b)+(3a-2b)]-----> P=2*[7a+b]-----> P=14a+2b

the answer part a) is
A polynomial for the perimeter of the rectangle is P=14a+2b

Part b)
for a=12
P=14*12+2b---------> P=168+2b
<span>the minimum perimeter of the rectangle is for b=1
</span>so
P=168+2*1-----> P=170 units

the answer part b) is
the minimum perimeter of the rectangle is 170 units

6 0

3 years ago