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Sergeu [11.5K]
3 years ago
5

Which of the following is the equation of a horizontal line

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
4 0
The point (a,b) is (5,7) . Therefore, the equation of the line is y=7
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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
Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.
slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite²   (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse  (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0
2 years ago
Show work / explain it ​
notsponge [240]

Answer:

-4

Step-by-step explanation:

look at the screenshot

6 0
3 years ago
A plant farm sells bundles of rose bushes. Each bundle contains 150 rose bushes and has the same ratio of hybrid tea roses, clim
devlian [24]

Answer:

since all bundles contain the same amount of each type of rose, and one bundle has 9 climbing roses. two bundles will have 18 climbing roses. the question wants to know how many roses out of the two bundles won't be climbing roses. so you need to do: 300 - 18 = 282

the answer is A

Step-by-step explanation:

i hope this helps :))

3 0
3 years ago
Read 2 more answers
Equation of a line that passes through (2,-3) with the slope of 1/2
Irina18 [472]
In point slope form:
y+3=1/2(x-2)

In slope intercept
y= 1/2x-4
7 0
2 years ago
Read 2 more answers
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