What is the volume of the prism

What equation is equivalent to 1/3 (9x+12) + 4x + 6

Irina-Kira [14]

The answer is b, 7x+10

3 0

3 years ago

anna is buying a house selling for 185,000. to obtain the mortgage, anna is required to make a 20% down payment. anna obtains a

JulsSmile [24]

Answer:

a. The Amount of the required down payment is $37,000

b. The amount of the mortgage is $148,000

c. The monthly payment for principal and interest is $953.62 per month

Step-by-step explanation:

a) In order to calculate the Amount of the required down payment we would have to use the following formula:

Amount of down payment = Value of home x Required down payment percentage

= $185,000 x 20%

= $37,000

b) In order to calculate the Amount of the mortgage we would have to use the following formula:

Amount of the mortgage = Value of home – Down payment

= $185,000 - $37,000

= $148,000

c) Loan Amount (P) = $148,000

Monthly Interest Rate (n) = 0.5% per month [6.00% / 12 Months]

Number of months (n) = 300 Months [25 Years x 12 Months]

Therefore, the Monthly Loan Payment = [P x {r (1 + r)n} ] / [(1 + r)n – 1]

= [$148,000 x {0.005 x (1 + 0.005)∧300}] / [(1 + 0.005)∧300 – 1]

= [$148,000 x {0.005 x 4.464}] / [4.464 – 1]

= [$148,000 x 0.02232] / 3.464

= $3,303.36 / 3.464

= $953.62 per month

The monthly payment for principal and interest is $953.62 per month

4 0

3 years ago

Hi, this is a poll for my class and I chose to do how many people are lesbians. Girls only please. Comment if you can't answer a

scZoUnD [109]

Answer:

How does one know if they are lesbian. Personally I identitify as a girl with a penis.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can you solve the problems

UkoKoshka [18]

Yes I can. Hddgvxgcx

7 0

3 years ago

Please find the perimeter and area of these shapes

ladessa [460]

Answer:

ABC shaded area = 36 $\pi$ - 72 cm²

ABC shaded area perimeter = $6\pi +12\sqrt{2}$ cm

ABCD area = $\dfrac52 \pi$ cm²

ABCD perimeter = $3\pi +2$ cm

Step-by-step explanation:

Shape ABC

Assuming you want the area and perimeter of the shaded part of the shape only...

Area

Area of a sector = $\dfrac12r^2\theta$ (where r is the radius and $\theta$

⇒ area of a sector = $\dfrac12 \times 12^2\times \dfrac{\pi}{2} =36\pi \ \textsf{cm}^2$

Area of triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 12 x 12 = 72 cm²

Therefore, area of shaded area = area of sector - area of triangle

⇒ area = 36 $\pi$ - 72 cm²

Perimeter

Arc length = $r\theta$ (where r is the radius and $\theta$

⇒ arc length = $12\times\dfrac12\pi =6\pi \ \textsf{cm}$

Hypotenuse of triangle = $\sqrt{a^2+b^2}$ (where a and b are the legs of the right triangle)

⇒ hypotenuse = $\sqrt{12^2+12^2} =12\sqrt{2}$ cm

Therefore, perimeter = arc length + hypotenuse

⇒ perimeter = $6\pi +12\sqrt{2}$ cm

Shape ABCD

Area

Area of a semicircle = $\dfrac12 \pi r^2$ (where r is the radius)

⇒ area of large semicircle ABC = $\dfrac12 \times \pi \times 2^2=2\pi \ \textsf{cm}^2$

⇒ area of small semicircle AD = $\dfrac12 \times \pi \times 1^2=\dfrac12\pi \ \textsf{cm}^2$

⇒ area of shape ABCD = $\dfrac12 \pi + 2 \pi=\dfrac52 \pi \ \textsf{cm}^2$

Perimeter

1/2 circumference = $\pi r$

⇒ perimeter = $2\pi +2+\pi=3 \pi+2 \ \textsf{cm}$

7 0

2 years ago