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3 years ago

The line passes through the point (4,2) and has slope of -1

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

3 0

Answer:

y-2 = -1(x-4)

Step-by-step explanation:

We know the slope and a point . We can use point slope form

y-y1 = m(x-x1)

y-2 = -1(x-4)

If we want the equation in slope intercept form

Distribute the -1

y-2 = -x+4

Add 2 to each side

y-2+2 = -x+4+2

y = -x+6

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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

2 years ago

A student has some $1 and $5 bills in his wallet. He has a total of 14 bills that are worth $34. How many of each type of bil

jeka57 [31]

Solution:

we are given that

A student has some $1 and $5 bills in his wallet.

Let there x $1 bills and y number of $5 bills.

He has a total of 14 bills that are worth $34.

So we can write

$x+y=14$

$x+5y=34$

Now solve these two equations together using substitution as follows

$14-y+5y=34\\
\\
4y=34-14\\
\\
4y=20\\
\\
y=5\\
\\
x=14-y=14-5=9\\$

Hence there are 9 $1 bills and 5 bills are of $5.

5 0

3 years ago

What is the solution of quadratic system of equations ?

kobusy [5.1K]

Answer:

(- 1, 1) and (- 5, - 35)

Step-by-step explanation:

since both equations express y in terms of x, equate the right sides

x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )

2x² + 12x + 10 = 0 ( divide all terms by 2 )

x² + 6x + 5 = 0 ← in standard form

(x + 1)(x + 5) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 5 = 0 ⇒ x = - 5

substitute these values into either of the 2 equations and solve for y

x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )

x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )

None of the given options

8 0

3 years ago

What is 1/8+1/4-14 equal what

Bingel [31]

= 3/8-14

-109/8

I hope that's help !

5 0

2 years ago

If there are n ways of completing a task, and after completing the task in any of these n ways, there are m ways of completing a

mel-nik [20]

Answer:

Step-by-step explanation:

n × m = nm ways

8 0

3 years ago