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VikaD [51]
2 years ago
7

The equation y = 15.7x + 459 can be used to predict the cost of renting a studio apartment in a certain housing complex, where x

is the number of years since 2005.
What if the best prediction for the cost of renting a studio apartment in this complex in 2025?

A.314.00
B.392.50
C.773.00
D.851.50
Mathematics
2 answers:
ohaa [14]2 years ago
7 0
The answer is C) 773.00
Komok [63]2 years ago
3 0

Answer:

Option (C) is correct

The cost of renting a studio apartment in this complex in 2025 will be $773.00

Step-by-step explanation:

Given : The equation y = 15.7x + 459 can be used to predict the cost of renting a studio apartment in a certain housing complex, where x is the number of years since 2005.

We have to calculate the cost of renting a studio apartment in this complex in 2025

Consider the given equation y = 15.7x + 459 ,

x is the number of years since 2005.

Since, we have to find the cost of renting the complex in year 2025.

Number of years  from 2005 to 2025 is

2025 - 2005 = 20

Thus, the cost will be find by putting x = 20 in given equation

so, y = 15.7(20) + 459 = 773

Thus,  the cost of renting a studio apartment in this complex in 2025 will be $773.00

Thus, Option (C) is correct.

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What is the finance charge on $13,300 financed at 7.9 percent for 4 years if the monthly payment per $100 is $2.44?
luda_lava [24]

If you borrowed $100, then your monthly payment is $2.44

If you borrowed $200, then your monthly payment is 2*2.44 = 4.88

etc etc

We can set up a proportion

2.44/100 = x/13300

to figure out the monthly payment x. Cross multiply and solve for x

2.44*13300 = 100*x

100x = 2.44*13300

100x = 32452

x = 32452/100

x = 324.52

So the monthly payment is $324.52

An alternative way to get this monthly payment is to apply 2.44% to 13300, which is another way to view the phrase  "monthly payment per $100 is 2.44"

------------------

There are 48 months in 4 years (start with 12 mon = 1 yr, then multiply both sides by 4) so we multiply 48 by the monthly payment to get the result 48*324.52 = 15,576.96. This is the total amount you have to pay back which is the principal plus interest.

Subtract off the principal (amount borrowed) to find the interest or finance charge: 15,576.96 - 13,300 = 2,276.96

Answer: Choice B

5 0
2 years ago
Dina and Masha started out on a 20 miles bike path at the same time. When Dina reached the end of the 20 miles, Masha still had
leonid [27]

Answer:

8mph

Step-by-step explanation:

(20-4)/2

=16/2

=8

4 0
1 year ago
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Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest ra
Oksana_A [137]

Answer:

The area of the pyramid is 360 unit²

Step-by-step explanation:

Given

Base Edge, a = 10

Height, h = 12

Required

Determine the surface area

The surface area of a regular pyramid is calculated as thus;

A = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}

Substitute values for a and h

A = 10^2 + 2 * 10 * \sqrt{\frac{10^2}{4} + 12^2}

Evaluate all squares

A = 100 + 2 * 10 * \sqrt{\frac{100}{4} + 144}

A = 100 + 2 * 10 * \sqrt{25 + 144}

A = 100 + 2 * 10 * \sqrt{169}

Take positive square root of 169

A = 100 + 2 * 10 * 13

A = 100 + 260

A = 360

<em>Hence, the area of the pyramid is 360 unit²</em>

4 0
1 year ago
Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the
Tcecarenko [31]

Answer:

The value of x is 10

Step-by-step explanation:

We can use a system of equations to solve this.

Cups of 25% bleach solution used = x

Cups of 1-% bleach solution used = 5

Cups of solution we get = y

The first equation becomes:

x + 5 = y

Using the decimal forms of each percentage solution

25% solution for x cups = 0.25x

10% solution for 5 cups = 0.1(5)

20% solution for y cups = 0.2 y

The second equation becomes:

0.25x + 0.1(5) = 0.2y

So the system of equations is:

x + 5 = y

0.25x + 0.1(5) = 0.2y

Solve both equations simultaneously to find the values of x and y:

x = 10 cups

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8 0
2 years ago
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A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that on
Flura [38]

Answer:

28/55

Step-by-step explanation:

The probability of taking a red bead first and a white bead second is:

P(red, white) = (7/11) (4/10)

P(red, white) = 14/55

The probability of taking a white bead first and a red bead second is:

P(white, red) = (4/11) (7/10)

P(white, red) = 14/55

So the probability that one bead of each color is taken is:

P = P(red, white) or P(white, red)

P = 14/55 + 14/55

P = 28/55

4 0
2 years ago
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