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PolarNik [594]
3 years ago
11

Repost this for help

Mathematics
1 answer:
inna [77]3 years ago
3 0

Answer:

I'm sorry I don't know if I do get an idea I'll come back and edit

Step-by-step explanation:

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If the present value of a growing perpetuity is 214, the required rate of return is 10%, and growth rate is 3%, what is the cash
Kryger [21]

The cash flow in year 1 is $15.

<h3>What is the cash flow in year 1?
</h3>

A growing perpetuity increases continuously and indefinitely.

Cash flow = present value x (rate of return - growth rate)

214 x (10% - 3%)

214 x 0.07 = $15

To learn more about present value, please check: brainly.com/question/17322936

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3 0
2 years ago
A hotel charges $90 per day for a double room $80 per day for a single room. If a total of 80 single and double rooms are occupi
SashulF [63]

Answer:

the number of single room is 27 and the number of double room  is 53

Step-by-step explanation:

Let x is the number of single room

Let y is the number of double room

We know that:

x + y = 80 <=> x = 80 -y (1)

80x +90y= 6930 (2)

Substitute (1) in (2) we have:

80 (80 - y) + 90y = 6930

<=> 6400 - 80y +90y = 6930

<=> y = 53

> x = 80 - 53 = 27

the number of single room is 27 and the number of double room  is 53

4 0
3 years ago
The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is
SashulF [63]

Answer:

Step-by-step explanation:

Volume  = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4)  = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66   {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

4 0
3 years ago
Carmel can drive 320 miles on tank of gas and one tankful costs $39. How many tanks of gas will she need to drive 2,240 miles an
Umnica [9.8K]
Carmel would need 7 gas tanks. (2,240 ÷ 320 = 7)
Carmel would need $273 because since she needs $39 dollars for one gas tank, you would have to multiply that by 7. (39 x 7 = $273)
4 0
3 years ago
Read 2 more answers
7. David is having his birthday party at a water park. The park charges $150 plus $10 per guest. The total cost of the party y c
serious [3.7K]

Answer:

the slope represents 10 dollars for every guest where x = guest

Step-by-step explanation:

7 0
3 years ago
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