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bixtya [17]
4 years ago
12

Solve -5/3x + 7/3 = -5

Mathematics
1 answer:
Pavlova-9 [17]4 years ago
3 0

Answer:

x = 24/15 = 8/3 = 2 2/3

Step-by-step explanation:

remember what you do to the left you must do to the right.

I converted the -5 to -15/3 so I could easily add or subtract

-5/3 x = -8/3

multiply both sides by -3/5 to cancel the coefficient of the x

x = -8/3 * -3/5 = 24/15

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4 0
4 years ago
Lincoln invested $49,000 in an account paying an interest rate of 6\tfrac{1}{8}6
Orlov [11]

Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

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

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

Hence, for Lincoln, we have that the parameters are as follows:

P = 49000, r = 0.06125, n = 365, t = 20.

Hence the amount will be of:

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

A_L(20) = 49000\left(1 + \frac{0.06125}{365}\right)^{365 \times 20}

A_L(20) = 166787

<h3>What is continuous compounding?</h3>

The amount is given by:

A(t) = Pe^{rt}

For Eli, we have that r = 0.05625, hence the amount will be given by:

A(t) = Pe^{rt}

A_E(20) = 49000e^{0.05625 \times 20} = 150931

<h3>What is the difference?</h3>

It is given by:

D = A_L(20) - A_E(20) = 166787 - 150931 = 15856

Lincoln would have $15,856 more in his account than Eli.

More can be learned about compound interest at brainly.com/question/25781328

6 0
3 years ago
Steven borrows $60,000 for school. The interest rate is 6.5%. He wants to pay off the loan in 12 years. What would be the simple
mihalych1998 [28]

Answer:

  • D) $46800

===========================

The amount of simple interest is:

  • Interest = Loan * rate * time

or

  • I = P * r * t

Given:

  • P = $60000, r = 6.5%, t = 12 years

Substitute and calculate:

  • I = 60000*(6.5/100)*12 = 46800

The matching choice is D.

6 0
2 years ago
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A dot plot titled Number of classes going from 3 to 7. 3 has 5 dots, 4 has 6 dots, 5 has 5 dots, 6 has 4 dots, 7 has 3 dots.
Alex777 [14]

Answer:

Skewed right. btw thx have a nice day!!!!!!!!!!!!!!!

Step-by-step explanation:

6 0
3 years ago
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Ryan is making small meat loaves. each small loaf uses 3/4 pound of meat. How much meat does he need to make 8 loaves?
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He needs 6 pounds of meat to make 8 meat loaves
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4 years ago
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