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3 years ago

Find the value of x. The diagram is not to scale.

Mathematics

1 answer:

DiKsa [7]3 years ago

5 0

Sum of interior angles in a pentagon=540°

148+112+2x+2x+10+90=540

360+4x=540

4x=540-360

4x=180

x=180/4

x=45°

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3 years ago

the surface area of earth is about 196.9 million square miles. The land area is about 57.5 million square miles, and the rest is

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a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving how mant servings can

laiz [17]

Answer:

I believe its 36

Step-by-step explanation:

so what i id is a took apart the answer, if 1 1/4 if 10 cups the 1/4 1/4 1/4 1/4 1/4 would also be 10 cups, so now i know that 1/4 = 2 servings

eso i took 3. 1/4 and that gave me 6 and now add the previous which is 10 so its 16 and i have 2 cups left

from here i knew 1 cup and 1/4 is 10 so subtract 1/4 which is -2 servings and you have 8 and 8+8 is 16 so

then i added

16+16= 36

which leads to my final answer of 36

Im so sorry if im wronge but if its right please give brainlest

7 0

3 years ago

(Please show step by step workings)

matrenka [14]

Answer:

a. They will need $90,000.00 for the down payment

b. The mortgage amount (principal) will be $360,000.00

c. The monthly principal payment will be $1,500,00

The monthly interest payment will be $634.40

d. The total interest they will pay: $152,256.00

Step-by-step explanation:

house price= $450,000

down payment = 20%

20-year mortgage

Interest rate= 3.75%

a. How much they will need for the down payment?

The down payment (DoP) is 20% of the house price

DoP= 20% de $450,000

DoP= 0.20*450,000

DoP= $90,000

b. What will be the mortagage amount (the principal)?

The mortgage amount (MoA) (principal) is the difference between the house price and the down payment.

MoA= $450,000 - $90,000

MoA= $360,000

c. How much will their monthly payment be for the principal and interest?

This equation represents the monthly payment (M):

$M=P \frac{r(1+r)^{n} }{(1+r)^{n}-1}$

where

P= the principal = $360,000

r= monthly interest rate = 3,75% divided by 12 = 0,31%

n= number of payments = 20 years multiplied by 12 months = 240

Let´s input these data into the equation:

$M= 360,000\frac{0.0031(1+0.0031)^{240} }{(1+0.0031)^{240} -1}$

$M= 360,000\frac{0.0031(1.0031)^{240} }{(1.0031)^{240} -1}$

Solving the equation:

M= $2,134.40

the principal component of this M would be

$360,000 divided by the 240 months

So, the principal component of M = $1,500.00

And the interest component of M is the difference

$2,134.40 - $1,500.00

So, the interest component of M = $634.40

d. How much total interest will they pay if they take the full 20 years to pay off the mortgage?

With every payment, they will be paying:

$634.40 per month, multiplied by 240 months

The total interest will be $152,256.00

5 0

3 years ago