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Ede4ka [16]
3 years ago
10

Julie wants to purchase a new home in six years. She thinks that she can purchase a nice home in a good neighborhood for $60,000

, she wants to save money in those six years to make the down payment the 25%. Determine how much Julie must save every month

Mathematics
1 answer:
MrMuchimi3 years ago
7 0

Answer:

$208.33

Step-by-step explanation:

Julie has to make the down payment which is 25% of $60000 after saving for 6 years.

Therefore, Julie has to save a total of 60000 \times \frac{25}{100} = 15000 dollars.

And Julie has to save it for the duration of 6 years i.e. (6 × 12) = 72 months.

Hence, Julie has to save \frac{15000}{72} = 208.33 dollars every month to make the down payment after 6 years. (Answer)

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What is the slope of the line with the following equation?<br><br> <img src="https://tex.z-dn.net/?f=2x%2B3y%3D2" id="TexFormula
KengaRu [80]

QUESTION

Your equation is 2x+3y=2 and you need to find the slope.

EXPLANATION

There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.

Slope-intercept form is formatted like this:

y=mx+b

m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.

2x+3y=2 \rightarrow 3y=2-2x\ or\ 3y=-2x-2

The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.

\frac{3y}{3}=\frac{-2x-2}{3} \\ \\ y=-\frac{2}{3}x-\frac{2}{3}

Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by -\frac{2}{3}, which means that is your answer.

Answer: -\frac{2}{3}

5 0
3 years ago
Read 2 more answers
NEED HELP ASAP
azamat

Answer:

2 + m- 1 + m

Step-by-step explanation:

3m +1 -m

Combine like terms

3m-m +1

2m +1

We can split the m's

m+m +1

And we can rewrite 1 as 2-1

m+m+2-1

m+2+m-1

Rearranging the order

8 0
3 years ago
Read 2 more answers
Suppose you received a job offer with a starting salary of $48,500 per year and a guaranteed raise of $1200 per year. Find the n
LuckyWell [14K]

Answer:

  • 7 years

Step-by-step explanation:

<u>This is going to be an arithmetic progression:</u>

  • 48500, 48500 + 1200, 48500 + 1200*2, ...

<u>So the first term is </u>

  • a₁ = 48500

<u>and the common difference is </u>

  • d = 1200

<u>Sum of AP is:</u>

  • S = (a₁ + aₙ)*n/2 = (2a₁ + (n - 1)d)*n/2

<u>Substitute and solve for n:</u>

  • (2*48500 + (n - 1)*1200)*n/2 = 321000
  • (97000 + 1200n - 1200)n = 642000
  • 1200n² + 95800n - 642000 = 0
  • 6n² + 479n - 3210 = 0

<u>Solving we get a positive root of:</u>

  • n ≈ 6.21 and it rounds up to 7 years

3 0
3 years ago
There are some hens and some sheeps are in a farm,total number of animals are 10 and total number of their legs are 32 1.Find nu
Serhud [2]

Answer: The number of hens are 4 and number of sheeps are 6

Step-by-step explanation:

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Total number of legs = 32

Let number of hens = h  and number of sheep = s

Thus h+s = 10    (1)

Now each hen has two legs and each sheep has 4 legs :2\times h+4\times s=32   (2)

Solving for h and s we get:

s = 6 , h =4

Thus number of hens are 4 and number of sheeps are 6

5 0
3 years ago
The coach of a soccer team is holding tryouts and can only take 3 more players. There are 6 players trying out. How many differe
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C(6,3)=\dfrac{6!}{3!3!}=\dfrac{4\cdot5\cdot6}{2\cdot3}=20

5 0
3 years ago
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