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netineya [11]
3 years ago
9

Four loan balances are $6,500, $3,600, $5,400, and $7,500, respectively. The current interest rates for the loans are 7%, 5%, 6%

, and 9%, respectively. If the four are to be consolidated into one loan, what is the WEIGHTED AVERAGE interest rate on that loan?
A) 6.75%
B) 7.01%
C) 7.04%
D) 7.10%
Mathematics
2 answers:
Ainat [17]3 years ago
8 0

Answer:

7.10% is the answer.

My name is Ann [436]3 years ago
5 0

[(455 + 180 + 324 + 675)/(65 + 36 + 54 + 75)] = 7.10

Answer is D.

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Find the inverse of the function y = 2x2 + 2.
Blababa [14]

Answer:

y = √(x - 2) / 2

Step-by-step explanation:

y = 2x^2 + 2.....switch ur x and y and solve for y

x = 2y^2 + 2

x - 2 = 2y^2 ...divide both sides by 2

(x - 2) / 2 = y^2...now take the sqrt of both sides, eliminating the ^2

(√ (x - 2) / 2) = y

3 0
3 years ago
Read 2 more answers
How many square feet of outdoor carpet will we need for this hole
Fed [463]

Answer:

40 ft²

Step-by-step explanation:

The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle

✔️Area of triangle 1:

Area = ½*bh

b = 6 - 3 = 3 ft

h = 11 - 7 = 4 ft

Area of triangle 1 = ½*3*4 = 6 ft²

✔️Area of triangle 2:

Area = ½*by

b = 2 ft

h = 3 ft

Area of triangle 2 = ½*2*3 = 3 ft

✔️Area of rectangle = L × W

L = 11 ft

W = 3 ft

Area of rectangle = 11 × 3 = 33 ft

✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²

4 0
3 years ago
This Stem-and-Leaf Plot represents the heights of the students on Ralph’s basketball team. One student’s height is missing from
kompoz [17]

Using the mean of the data-set, it is found that the missing height in the stem-and-leaf plot is given by:

D. 65 in.

<h3>What is the mean?</h3>

The mean of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.

In this problem, following the key of the stem-and-left plot, there are 8 observations, given as follows:

54, 55, 56, 61, 63, 64, 70 and the missing value x.

The mean is of 61, hence:

61 = \frac{54 + 55 + 56 + 61 + 63 + 64 + 70 + x}{8}

423 + x = 61 x 8

x = 65.

Hence option D is correct.

More can be learned about the mean of a data-set at brainly.com/question/24628525

#SPJ1

6 0
2 years ago
Esther cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 63 inches.
Studentka2010 [4]

Answer:

Side of the square paper = 21 inches

Step-by-step explanation:

Let the square paper is having measure of each side = a inches

Esther cut this square piece into two pieces.

Let the other side of one rectangle piece = x inches

Perimeter of this piece = 2(a + x) inches

Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches

Perimeter of this piece = 2[a + (a - x)]

Since both the rectangular pieces have the same perimeter = 63

So, 2(a + x) = 2[a + (a - x)] = 63

2(a + x) = 2(2x - x)

a + x = 2a - x

2a - a = 2x

a = 2x

x = \frac{a}{2}

Therefore, Perimeter = 2(a + x) = 2(a + \frac{a}{2}) = 63

2\times \frac{3a}{2} = 63

3a = 63

a = 21

Therefore, measure of the sides of the square is 21 inches.

5 0
3 years ago
Can someone please help me with math
Molodets [167]
1 meter is 3.3 ft.....so 70 meters is (70 * 3.3) = 231 ft.....so ft per second is 231 ft per second

at 2 seconds.....231 * 2 = 462 ft
4 0
4 years ago
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