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harina [27]
3 years ago
15

A family is purchasing a house and needs to finance a 195,000 mortgage from the bank with an annual percentage rate (APR) of 5.3

%. The family is financing it over 30 years and making monthly payments. What is the total amount the family will pay back to the bank (to the nearest dollar)?
$195,000
$328,322
$389,822
$447,210
Mathematics
1 answer:
maksim [4K]3 years ago
4 0

Calculate the monthly payment:

195,000 x ( (0.05/12)x1+0.053)^12)/(1+0.053)^12-1)

Monthly payment = 1,082.84

Multiply monthly payment by 12 to get one year: 1082.84x 12 = 12994.08

Now multiply by 30 years:

12994.08 x 30 = 389822.40

The answer is $389,822

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4 0
4 years ago
What is the slope the line that passes through the points:<br> (-6, 14), (2, -18)
Vesna [10]

Hey there! I'm happy to help!

Here's how to find the slope given any two points.

Subtract the y values.

14-(-18+-14+18=32

Subtract the x values.

-6-2=-8

And divide those.

32/-8=-4

The slope is -4.

Have a wonderful day! :D

5 0
3 years ago
If Smith is guilty, then Jones is innocent. If Jones is innocent, then Smith is guilty. Write each biconditional statement in ex
Volgvan

Answer:

The required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.

Step-by-step explanation:

From the provided statement.

The statement is: If Smith is guilty, then Jones is innocent.

The converse is: If Jones is innocent, then Smith is guilty.

The combination of a conditional statement and its converse is called biconditional statement.

The biconditional statement contains if and only if phrase between two part of the statement.

Which means the statement and converse both are true.

Therefore, the required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.

6 0
3 years ago
During their last game, the Miami Dolphins scored ͸ times for a total score of ͵Ͳ points. They scored ͹ points for each touchdow
Karolina [17]

Answer:

The Miami Dolphins had 3 touchdowns and 3 field goals.

Step-by-step explanation:

It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.

We need to write and solve the system of equations to find the total touchdowns and field goals scored.

Let x represents the number of touchdowns.

Let y be the number of field goals.

It is given that the Miami Dolphins scored 6 times

x+y=6

x=6-y....(1)

They scored 7 points for each touchdown and 3 points for each field goal.

The total score is 30 points:

7x+3y=30 ...(2)

Put the value of x from equation (1) into equation (2).

7( 6-y)+3y=30

42-7y+3y=30

-4y=30-42

-4y=-12

y=3

Put y = 3 in equation 1.

x=6-3

x=3

Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.

4 0
3 years ago
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