The current rates for an 80/20 mortgage are 4.25% for the first mortgage and9.75% for the second mortgage. On a $100,000 30-year mortgage, what is the
actual rate?

Answers

Answer 1
Answer:

The actual rate of the mortgage is 5.27%.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since, we're taking two mortgages for a total of $100,000 for 30 years,

Now, we can find the actual rate of the mortgage by finding the weighted average of the two rates.

Hence, The weights in this case will be the proportion of loan taken at each rate;

We have

Rates       Weights      Rates  × Weights

4.15           0.80           4.15 x 0.80 = 3.32

9.75           0.20          9.75 x 0.20 = 1.95

Hence, The actual rate of the mortgage is,

⇒ 3.32 + 1.95

⇒ 5.27%.

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Answer 2
Answer:

Answer:

mine was 5.45$

Step-by-step explanation:


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Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael’s account balance following these withdrawals?
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Penny received an unexpected $5,000.00 gift from a distant relative. She invests itin a mutual fund that increases the value of the original investment by 8% each year.
You must show all calculations to earn credit.
How much will her original investment be worth in 10 years?

Answers

Answer:

$9,000.00 is her original investment worth in 10 yrs.

5000 x 1.08 ^10 = 10794.6249864

Then subtract -500000 = 5794.62498636

Step-by-step explanation:

Why, because the first year is proved 5000 x 0.08 = 400

= 400 year 1 but cna keep only if stays in investment for 10 years

400 x 10 = 4000 interest on investment

5000+ 4000 = $9,000.00 SI

+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62

Can someone show me how to solve 2.6 divided by 0.02? Pleaseeeee

Answers

Answer:

130

Step-by-step explanation:

So you have to move the decimal point 2 times to the right so you can have only whole numbers which makes it easier to solve.

2.6/0.02 = 260/2

130.

What is the radius, diameter, area, and circumference of a 7in circle ?

Answers

Answer: radius=7/2pi
Diameter=7/pi

Explanation: circumstance is 2pi(r) or pi(d)

A valet has 34 cars to park in a rectangular array, what are tge different ways the valet could park the cars

Answers

17 by 2 because 34 divided by 2 is 17

Please help The equation (x – 5)2 + (y – 7)2 = 81 models the position and range of a cellular phone tower. What is the range of the tower?

A: 18 units

B: 9 units

C:27 units

D: 81 units

Answers

Answer:

b:9 units

Step-by-step explanation:

Final answer:

The given equation represents a circle. The square root of 81 (which is 9) is the radius of this circle and hence denotes the range of the cellular phone tower. So, the range of the cell phone tower is 9 units.

Explanation:

The given equation models a circle where (x-5)² and (y-7)² are the squared coordinates of the circle, and 81 is the square of the radius of the circle. The radius represents the range of the cellular tower in this case. The radius (or range, in this context) is the square root of 81 which is 9 units. Therefore, the range of the cell phone tower is 9 units.

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A scale drawing of a rectangular room has a length of 6 inches and a width of 4 inches. The drawing uses a scale of 1 inch to 3 feet. Find the cost to carpet the room if carpeting costs $5 per square foot.

Answers

Since, an inch is to 3 feet, the length would be 18 feet and the width would be 12. To get the area, multiply length and width. The product would be 216 square feet. If a square foot costs $5, 216 square foot multiplied to $5 would be $1080 which is the cost to carpet the room.

Final answer:

The rectangular room that measures 6 inches by 4 inches on a scale drawing (where 1 inch represents 3 feet) has a real area of 216 square feet. At $5 per square foot, the cost to carpet the room would be $1080.

Explanation:

The subject of the question is a real-life example of using scale measurements in rectangular shapes. In this case, a scale drawing of a rectangular room.

The scale provided is 1 inch to 3 feet, which means that every 1 inch in the drawing corresponds to an actual length of 3 feet. Therefore, a length of 6 inches on the drawing is equivalent to 6 * 3 = 18 feet actual length. Similarly, a width of 4 inches on the drawing is equivalent to 4 * 3 = 12 feet actual width.

Area of a rectangular shape is given by the product of its length and width, so 18 ft * 12 ft = 216 square feet which is the actual area of the room.

Lastly, given that carpeting costs $5 per square foot, the total cost will be the area of the room times the cost per square foot, which is 216 * 5 = $1080.

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