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3 years ago

Which of the following lines would be perpendicular to a line whose equation is y=1/2x-7 and pass through the point (-10,7)?

Mathematics

1 answer:

Lemur [1.5K]3 years ago

6 0

Answer:

The answer to your question is y = -2x - 13

Step-by-step explanation:

Data

Original line y = 1/2x - 7

Point = (-10, 7)

New line = ?

Process

1.- Find the slope of the original line

The slope is the coefficient of the x

y = 1/2x - 7

slope = 1/2

2.- Find the slope of the new line

The new line is perpendicular to the original line

slope = -2

3.- Find the equation of the new line

y - y1 = m(x - x1)

y - 7 = -2(x + 10)

-Simplification

y - 7 = -2x - 20

y = -2x - 20 + 7

y = -2x - 13

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what is the answer to the multiplication problem. Jhon has 20 fish if he lets 6 fish go how many fish dose Jhon have?

spayn [35]

Isn't this a subtraction problem, not a multiplication problem?

If John starts out with 20 fish and lets 6 go, he still has (20-6), or 14, fish.

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3 years ago

Stu Reese has a $150,000 7½% mortgage. His monthly payment is $1,010.10. His first payment will reduce the principal to an outst

BabaBlast [244]

Given that

starting outstanding balance = $150000

rate of interest = 7.5% per year

so rate of interest for 1 month = (7.5/12)% = 0.635%

outstanding balance before 1st monthly payment = starting outstanding balance + 0.625% of interest on starting outstanding balance

= 150000 + (0.625 /100) × 150000

= 150000 + 937.5 = $150937.5

Reduction = outstanding balance after one month - first monthly payment

Reduction = $150937.5 - 1010.10 = 149927.40

so out of first payment of $1,010.10 , $937.5 goes towards interest and remaining $72.6 goes towards reduction of principal that is 150000 - $72.6 = 149927.40.

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3 years ago

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2 years ago

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3 years ago

Dana Thacker's bank granted her single payment loan of 10,450 she agreed to repay the loan in 75 days at an exact interest rate

il63 [147K]

Using simple interest, it is found that the maturity value of the loan is of 10,638.

<h3>Simple Interest</h3>

The amount of money after <em>t years </em>in simple interest is modeled by:

$A(t) = A(0)(1 + rt)$

In which:

A(0) is the initial amount.

r is the interest rate, as a decimal.

In this problem:

A loan of 10450 is taken, hence $A(0) = 10450$ .

Interest rate of 8.25%, hence $r = 0.0825$

The loan will be repaid in 75 days, considering the time in years, $t = \frac{75}{365}$

Then, the maturity value of the loan is:

$A(t) = A(0)(1 + rt)$

$A\left(\frac{75}{365}\right) = 10450\left[1 + 0.0875\frac{75}{365}\right] = 10638$

The maturity value of the loan is of 10,638.

To learn more about simple interest, you can take a look at brainly.com/question/26207710

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