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pychu [463]
2 years ago
7

Twice a number (z) added to 21 is equal to 9 times the number added to 7. What is the number?

Mathematics
1 answer:
pickupchik [31]2 years ago
5 0

Answer:

The number is  2

Step-by-step explanation:

Twice a number (z) = 2*z = 2z

Twice a number (z) added to 21  = 2z + 21

9 times the number added to 7 = 9z + 7

9z + 7 = 2z + 21

Subtract 2z form both sides

9z - 2z + 7 = 21

       7z + 7 = 21

Subtract 7 from both sides

7z = 21 - 7

 7z = 14

Divide both sides by 7

z = 14/7

z = 2

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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

- He financing the rest at 4.8% interest rate for 3 years

* 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

∵ P = 8800

∵ 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}

∴ pmt=\frac{0.004[8800(1.004)^{36}]}{(1.004)^{36}-1}=262.95

* The monthly payment is $262.95

8 0
3 years ago
Please I need help immediately ​
just olya [345]

Answer:

Step-by-step explanation:

4x+6<= -54

4x <= -60

x <= -15    [The point -15 is included, so it must be a solid dot]

----------------

5x + 7 > -18

5x > -25

x > -5     [The point -5 is NOT included, so it should be an empty dot.]

Solution C seems the best.

4 0
3 years ago
4x2 + 8x - 7 - (3x2 - X+9)​
Andreas93 [3]

Answer:

<h2>{x}^{2}  + 9x - 16</h2>

Step-by-step explanation:

4 {x}^{2}  + 8x - 7 - (3 {x}^{2}  - x + 9)

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:

4 {x}^{2}  + 8x - 7 - 3 {x}^{2}  + x - 9

Collect like terms

4 {x}^{2}  - 3 {x}^{2}  + 8x + x - 7 - 9

{x}^{2}  + 9x - 7 - 9

Calculate

{x}^{2}  + 9x - 16

Hope this helps...

Good luck on your assignment...

5 0
3 years ago
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Which expression is equivalent to<br>the answer are after the first one
seraphim [82]
It would be D)
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5 0
3 years ago
Have you ever wondered how antifreeze lowers the freezing point of water in the cooling systems of automobiles? French chemist,
EastWind [94]

Answer:

It's D.

Step-by-step explanation:

4 0
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