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Svetlanka [38]
3 years ago
14

Which proportion can be used to show that the slope of JL is equal to the slope of MP

Mathematics
1 answer:
Ilya [14]3 years ago
5 0

Answer:

See below and attached

Step-by-step explanation:

<u>As per the graph we have:</u>

  • Coordinates of JL are J(-7, 4), L(-4, 0)
  • Coordinates of MP are M(-10, 8), P(-1, -4)

<u>Slope formula is:</u>

  • m = (y₂ - y₁)/(x₂ - x₁)

<u>Slope of JL:</u>

  • (0 - 4)/(-4-(-7)) = - 4 / 3

<u>Slope of MP:</u>

  • (-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3

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o-na [289]

Answer:

Three times the difference of two times a number and five is equal to 24, what is x?  

Step-by-step explanation:

To write any equation in word problems, it is important to identify all your parenthesis operations by their technical names. Subtraction is a difference. So since we are multiplying it by 3, it becomes three times a difference.


6 0
3 years ago
Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba
Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

  • Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}

\:A=2500\left(1+\frac{0.05}{6}\right)^{48}

A=2500\times 1.48935      ∵  \left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935

A=\:3723.38 $

Therefore, we conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

8 0
2 years ago
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Answer:

1/4

Step-by-step explanation:

To find slope, we use the formula rise over run (y2-y1 over x2-x1)

So first, our y's: 7-5=2

And our x's: 12-4=8

2/8 simplifies to 1/4

3 0
2 years ago
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Levart [38]
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3 years ago
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timofeeve [1]

Answer:

7 weeks

Step-by-step explanation:

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3 years ago
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