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elena55 [62]
3 years ago
11

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. X

=2y-7 and 4x+y=71
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

Answer:

(15, 11).

Step-by-step explanation:

Given the system of equation;

X=2y-7 ..... 1

4x+y=71 ....2

Substitute 1 into2;

4(2y-7) + y = 71

8y - 28 + y = 71

9y - 28 = 71

9y = 71 + 28

9y = 99

y = 11

Substitute y = 11 into 1;

x = 2y - 7

x = 2(11)-7

x = 22-7

x = 15

hence the solution to the equation is (15, 11).

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You're stretching the function vertically. So, the graph of g(x) is the graph of f(x), stretched vertically with a scale factor of 5.

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If three empanadas and two drinks cost $9, and four empanadas and one drink costs $9.50, how much does a drink cost?
slamgirl [31]

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A drink cost 1.50

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3 years ago
At age 20 a person deposits $370 in a savings account paying 2% interest compounded quaterly.how much money will be in the accou
svet-max [94.6K]

$1224.78 will be in the account 60 years later

Yes, his savings would have tripled in that time

Step-by-step explanation:

The formula for compound interest, including principal sum is

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

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount (the initial deposit or loan amount)
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

At age 20 a person deposits $370 in a savings account paying 2% interest compounded quarterly.

We need to find how much money will be in the account 60 years later, when he is 80 years old and would his savings have tripled in that time

∵ The deposit = $370

∴ P = 370

∵ The account paying 2% interest

∴ r = 2% = 2 ÷ 100 = 0.02

∵ The interest is compounded quarterly

∴ n = 4

∵ The money will be in the account 60 years later

∴ t = 60

By using the rule above

∴ A=370(1+\frac{0.02}{4})^{(4)(60)}

∴ A=370(1+0.005)^{240}

∴ A=370(1.005)^{240}

∴ A = 1224.78

$1224.78 will be in the account 60 years later

∵ A = 1224.78

∵ P = 370

∵ \frac{A}{P}=\frac{1224.78}{370}=3.31 ≅ 3

- That means A ≅ P × 3

∴ A approximately is 3 times P

Yes, his savings would have tripled in that time

Learn more:

You can learn more about compound interest in brainly.com/question/4361464

#LearnwithBrainly

6 0
3 years ago
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