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GenaCL600 [577]
3 years ago
10

Having just turned 16 years old, your friend has their mind set on buying a new car by the time they turn 20 years old. They can

afford to save $440 per month. They place the money into an annuity that pays 5.5% per year, compounded monthly. How much will they have to spend on a car after 4 years?
Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer:

$26,179.82  

Step-by-step explanation:

FVA = PMT * n * (1 + i) ^ (n - 1)

FVA = 440 * 48* (1.00458)^(47)

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rodikova [14]
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Height=10
Area=LxH/2 = 13x10/2= 130/2=65
Area=65
6 0
2 years ago
Read 2 more answers
Lilth makes soap and lotion. It takes her 20 minutes to make a batch of soap and 35 minutes to make a batch of lotion. The cost
fgiga [73]

Answer:

Step-by-step explanation:

Let x represent the number of batches of soap that Lilth makes.

Let y represent the number of batches of lotion that Lilth makes.

It takes her 20 minutes(20/60 = 1/3 hours) to make a batch of soap and 35 minutes(35/60 = 7/12 hours) to make a batch of lotion. Lilth has 20 hours available to make soap and lotion. This means that

x/3 + 7y/12 = 20

4x + 7y = 240- - - - - - - - - - -1

The cost of producing each batch are $5 for the soap and $15 for the lotion. The materials to make the soap and lotion must cost at most $325. This means that

5x + 15y ≤ 325 - - - - - - - - -2

4x = 240 - 7y

x = (240 - 7y)/4

Substituting

5(240 - 7y)/4 + 15y ≤ 325

(1200 - 35y)/4 + 15y ≤ 325

1200 - 35y + 60y ≤ 1300

25y ≤ 1300 - 1200

25y ≤ 100

y ≤ 100/25

y ≤ 4

4x + 7 × 4 = 240

4x + 28 = 240

4x = 212

x = 212/4 = 53

Therefore, the solution (53, 4) means that she would make at most 53 batches of soap and at most 4 batches of lotion

6 0
4 years ago
Find the slope of (0, 4), (− 5, 2)
vredina [299]

Answer:

⅖ is the slope

Step-by-step explanation:

To find slope:

\frac{ {y}^{2} -  {y}^{1}  }{ {x}^{2} -  {x}^{1}  }

\frac{2 -4}{ - 5 - 0}

\frac{ - 2}{ - 5}

\frac{2}{5}

7 0
3 years ago
What is the slope of the line represented by the equation y + 3 = -4(x - 5)?
Mazyrski [523]
A. 3 because I did this before and got it Correct
5 0
3 years ago
3x+5&lt;6x+8 <br> 4x+3 is &lt;7x+5
Komok [63]

The solution to the inequalities 3x + 5 < 6x + 8 and 4x + 3 < 7x + 5 is x > -1 and x > -2/3 respectively

<h3>Inequality</h3>

Inequality signs are;

  • Greater than >
  • Less than <
  • Equal to =
  • Less than equal to ≤
  • Greater than equal to ≥

3x + 5 < 6x + 8

  • collect like terms

3x - 6x < 8 - 5

-3x < 3

  • divide both sides by -3

x > 3/-3

The inequality sign is flipped from < to greater than because of the division with negative value.

x > -1

2. 4x + 3 < 7x + 5

  • collect like terms

4x - 7x < 5 - 3

-3x < 2

  • divide both sides by -3

The inequality sign is flipped from < to greater than because of the division with negative value.

x > -2/3

Learn more about inequality:

brainly.com/question/25275758

#SPJ1

3 0
2 years ago
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