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1 year ago

5

5. Round 16.975 to the nearest hundredths

1 answer:

ra1l [238]1 year ago

7 0

Answer:

5. B

6. C

7. D

Step-by-step explanation:

hope this is correct and helps hehe

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A house is being purchased at the price of $138,000.00. The 30-year mortgage has a 10% down payment at an interest rate of 4.875

Mama L [17]

Answer:

$238,600

Step-by-step explanation:

The amount being borrowed is 100% -10% = 90% of the purchase price, or ...

0.90 × $138,000 = $124,200.

Then the monthly payment can be computed using the amortization formula:

A = P(r/12)/(1 -(1 +r/12)^(-12t))

A = 124200(.04875/12)/(1 -(1 +.04875/12)^(-12·30)) ≈ 657.28

and the total repaid is ...

(360 months) × ($657.28/month) = $236,619.58*

The cost of mortgage insurance is considered part of the cost of the loan. That amount is ...

(77 months) × ($25.88/month) = $1992.76

so the total amount paid for the loan is ...

$236,619.58 +1992.76 = $238,612.34

The cost of the loan is about $238,600.

_____

* In figuring the total repayment cost, we used the full-precision value for the loan payment. The actual repayment amount will depend on the rounded value of the loan payment and the way the final payment is made. When rounded to the nearest $100, these details become unimportant.

3 0

2 years ago

Ms. berkin is dividing her 4 1/2-foot by 6-foot bulletin board into 4 sections with ribbon stretched from each corner to the opp

Mnenie [13.5K]

Answer:

15 feet.

Step-by-step explanation:

A bulletin board has been shown in the figure below.

Where the width of the board AB = DC = $4\frac{1}{2}$ = 4.5 feet

and the length of the board AD = BC = 6 feet

As Ms. Berkin is dividing the board by stretching the ribbons to the opposite corners so the length of ribbons will be AC and BD.

In right angle triangle <em>ADC</em>, using Pythagorean Theorem,

$AC^2=AD^2+DC^2$ = $6^2+4.5^2=36+20.25=56.25$

$AC= \sqrt{56.25} = 7.5$ feet

Similarly in triangle <em>BDC</em>,

$BD^2=BC^2+DC^2 = 6^2+4.5^2=36+20.25 =56.25$

$BD=\sqrt{56.25} = 7.5$ feet

Thus, total length of the ribbon used = AC + BD = 7.5 + 7.5 = 15 feet

3 0

3 years ago

Eva wanted to fill bags with ¾ pounds of trail mix. She started with 11 ⅜ pounds but ate ⅛ pound before she started filling the

Len [333]

She fill 12 bags because if you take 3/4*11 3/8- 1/8=12

3 0

2 years ago

contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lots

Tju [1.3M]

The houses can be placed in 362,880 ways.

<u>Step-by-step explanation:</u>

The 9 houses are each in different design.

The each lot can place any of the 9 houses.

The 1st lot can place anyone house of all the 9 houses.
The 2nd lot can place one of remaining 8 houses.
The 3rd lot can place one of remaining 7 houses.

Similarly, the process gets repeated until the last house is placed on a lot.

<u>From the above steps, it can be determined that :</u>

The number of ways to place the 9 houses in 9 lots = 9!

⇒ 9×8×7×6×5×4×3×2×1

⇒ 362880 ways.

Therefore, the houses can be placed in 362880 ways.

5 0

2 years ago

A certain shade of pink is created by by adding 3 cups of red paint to 7 cups of white paint. How many cups of red paint should

Nonamiya [84]

Answer:

→[ Certain shade=red paint+ white paint]

→3 cups of red paint=7 cups of white paint

Dividing both side by 7,we get

→ 1 cup of white paint=3/7 cups of white paint

So, 3/7 of a cup should be added to 1 cup of white paint to make certain kind of shape.

Cups of white paint: Cups of red paint= 1. : $\frac{7}{3}=\frac{3}{7}$

k= $\frac{3}{7}$ is constant of proportionality.

8 0

2 years ago

Read 2 more answers