Ask question

Ask question

All categories

3 years ago

15

If x=-2 and y=6 is a solution of equation 3ax+2by=6, then find the value of b

1 answer:

lana66690 [7]3 years ago

7 0

$\text{Substitute the values of x and y to the equation}\\\\x=-2,\ y=6,\ 3ax+2by=6\\\\3a(-2)+2b(6)=6\\\\-6a+12b=6\qquad|\text{add 6a to both sides}\\\\12b=6a+6\qquad|\text{divide both sides by 12}\\\\b=\dfrac{6a}{12}+\dfrac{6}{12}\\\\\boxed{b=\dfrac{1}{2}a+\dfrac{1}{2}}$

You might be interested in

At Elisa's printing company llc there are two kinds of printing presses: model a which can print 70 books per day and model b wh

Vilka [71]

70a + 55b = 905
a + b = 14
55a + 55b = 770

(70a-55a) + (55b-55b) = 905 - 770
15a = 135
a = 9

a + b = 14
9 + b = 14
b = 5

7 0

3 years ago

What is 4,069.44 rounded to the nearest hundredth

dangina [55]

The answer would be 4,069.40

8 0

3 years ago

Read 2 more answers

PLEASE MATH HELP WILL GIVE BRAINLIEST<br> What is BC? Enter your answer in the box.

tatuchka [14]

4x+1 = 2x+23

4x = 2x+22

2x = 22

x = 22/2 = 11

x = 11

3x-8 = 3(11)-8 = 33-8 = 25

BC=25

4 0

3 years ago

Read 2 more answers

Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h

Paha777 [63]

Given Information:

Loan amount = $280,000

Annual Percentage Rate = APR = 4.4% = 0.044

Number of years = 30

Required Information:

Monthly payment with points = ?

Monthly payment without points = ?

Answer:

Monthly payment with points = $1,361

Monthly payment without points = $1,402.13

Step-by-step explanation:

The monthly payment can be found using,

$MP = P\times \frac{r\times (1+r)^{n}}{(1+r)^{n} - 1}$

P is the loan amount.

Where interest rate r is given by

$r = \frac{APR}{12}$

Total number of payments n are given by

$n = 30\times12 = 360$

Monthly payment with points:

Rhonda is considering purchasing 2 points and each decreases APR by 0.125%

So the APR becomes

$APR = 4.4\% - 0.125(2)\\\\APR = 4.4\% - 0.25\%\\\\APR = 4.15\%$

and the corresponding interest rate r is

$r = \frac{APR}{12}\\\\r = \frac{4.15\%}{12}\\\\r = 0.3458\% \\\\r = 0.003458$

Finally, the monthly payment is

$MP =280,000\times \frac{0.003458\times (1+0.003458)^{360}}{(1+0.003458)^{360} - 1}\\\\MP =280,000\times 0.0048608 \\\\MP = \$ 1,361$

Monthly payment without points:

Interest rate r is,

$r = \frac{APR}{12} \\\\r = \frac{4.4}{12} \\\\r = 0.3667\% \\\\r = 0.003667$

Monthly payment is,

$MP =280,000\times \frac{0.003667\times (1+0.003667)^{360}}{(1+0.003667)^{360} - 1}\\\\MP =280,000\times 0.0050076 \\\\MP = \$ 1,402.13$

So monthly payment with points is $1,361 and monthly payment without points is $1,402.13

6 0

3 years ago

How many centimeters are in 7 meters 100cm/1m=?/7m

Nikitich [7]

It there are 100 centimeters in 1 meter, then there are 700 centimeters in 7 meters. :)

6 0

3 years ago