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2 years ago

What is the solution to the system below? y = 5x - 9 y = x + 3

Mathematics

2 answers:

Alex2 years ago

7 0

Answer:

I think it like this .........

Softa [21]2 years ago

7 0

Answer:

(3, 6 )

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x + 3 → (2)

Substitute y = 5x - 9 into (2)

5x - 9 = x + 3 ( subtract x from both sides )

4x - 9 = 3 ( add 9 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 3 + 3 = 6

solution is (3, 6 )

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3 years ago

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Answer:

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2 years ago

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2 years ago

Omar has decided to purchase an $11,000 car. He plans on putting 20% down toward the purchase, and financing the rest at 4.8% in

Solnce55 [7]

Answer:

The monthly payment is $262.95

Step-by-step explanation:

* Lets explain how to solve the problem

- Omar has decided to purchase an $11,000 car

- He plans on putting 20% down toward the purchase

* Lets find the value of the 20%

∵ The principal value is $11000

∴ the value of the 20% = 20/100 × 11000 = 2200

∴ He will put $2200 down

* Lets find the balance to be paid off on installments

∴ The balance = 11000 - 2200 = 8800

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* Lets find the rule of the monthly payment

∵ $pmt=\frac{\frac{r}{n}[P(1+\frac{r}{n})^{nt}]}{(1+\frac{r}{n})^{nt}-1}$ , where

- pmt is the monthly payment

- P = the investment amount

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested or borrowed for

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∵ r = 4.8/100 = 0.048

∵ n = 12

∵ t = 3

∴ $pmt=\frac{\frac{0.048}{12}[8800(1+\frac{0.048}{12})^{3(12)}]}{(1+\frac{0.048}{12})^{3(12)}-1}$

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2 years ago

What is a formula for the nth term of the given sequence?<br> 20,50, 125...

loris [4]

Answer:

a(n) = 20*2.5^(n - 1)

Step-by-step explanation:

Note that 50 is 2.5 times 20, and that 125 is 2.5 times 50. Thus the common factor is 2.5. The formula for the nth term is

a(n) = a(1)*r^(n - 1) => a(n) = 20*2.5^(n - 1)

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2 years ago