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Georgia [21]
3 years ago
10

Step by step please

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

Answer:

step 1.

(67-X)=180

67-180= - X

-X=-113

X=113

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Ava worked 40 hours this week and made $520. How much did he earn each hour?
Blababa [14]
He made $13.00 an hour. Hope this helps! :)
4 0
3 years ago
Somone be matching pfps with me pls <3 thx
Doss [256]

Answer:

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Step-by-step explanation:

Why u do dis

3 0
3 years ago
Lenny and Lisa have obtained a 30-year, fixed rate mortgage for $675,250 with a 7.25% interest rate. They purchased 3 points and
Vikentia [17]

Answer:

119 months

Step-by-step explanation:

In this question, we are asked to calculate the amount of time it would take for a break-even point on a mortgage, if there is a factoring in the cost of points.

We proceed to answer the;

Mathematically,

The Break Even Point = Amount Paid for purchasing Discount Points divided by Monthly savings in the interest payments

We lost out the important values given in the question as follows:

Amount of Mortgage - $675,250

Tenure - 30 Years

The Rate of interest without points = 7.25%

The number of points = 3 points

The rate of interest with the 3 points = 6.875%

The amount to be paid for purchasing the discount point is now calculated below;

Since 1 discount point = 1% of mortgage value;

Therefore, 3 discount points = 3% of mortgage value

The amount paid is thus = 3% of $675,250 = $20,257.5

To calculate Monthly payment without points, we use the mathematical formula;

M = P[r(1+r)^n/((1+r)^n)-1)]

Where M

Is monthly payment, r is the interest rate, n is the number of months.

According to the question M = 675,250, r = 7.25% = 7.25/100 = 0.0725 , n= 30 * 12 months = 360 months

M = 675,250[0.0725(0.0725+1)^30/(1+0.0725)^360)-1) = $4606.40

To get the monthly payment with points, we simply use the formula again but this time interest rates will be 6.875% = 0.06875 I.e r = 0.06875

Inputting the terms in the formula will yield a value of $4435.91. This means monthly payment with discount will be $4435.91

Savings in monthly payments after purchasing the discount points = $4,606.40 - $4,435.91 = $170.48

Break Even = Purchase cost of Discount Points / Monthly savings

= $20,257.5 / $170.48

= 119 Months

Hence, the number of months it will take Lisa and Lenny to break-even point on their mortgage will be 119 months

6 0
3 years ago
Help pls! this is due tonight. thanks!
erma4kov [3.2K]

Answer:

Neon: 0

Oxide:  -2

Copper:   2

Tin:  0

Step-by-step explanation:     To solve you must add/subtract the numbers to get the charge, for example if its -30 charge from electrons and 10 charge from protons, -30 + 10 = -20     therefore the charge is -20

6 0
3 years ago
Read 2 more answers
Please answer this in two minutes
solniwko [45]

Answer:

30

Step-by-step explanation:

a^2 + b^2 = c^2

(8sqrt(3))^2 + b^2 = 16^2

64 * 3 + b^2 = 256

192 + b^2 = 256

b^2 = 64

b = 8

The ratio of the lengths of the sides of this triangle is

8 : 8sqrt(3) : 16

which reduces to

1 : sqrt(3) : 2

This is the ratio of the lengths of the sides of a 30-60-90 triangle.

m<W = 30 deg

5 0
3 years ago
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