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3 years ago

Y=9x+7,y=3x-11 i need to solve theeqayions by substition and show the work

Mathematics

1 answer:

djyliett [7]3 years ago

4 0

Times the second equation by 2 to get y=9x-33 and then subtract

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Assume that 3 digits are selected at random from the set {1,3,5,6,7,8} { 1 , 3 , 5 , 6 , 7 , 8 } and are arranged in random orde

Mumz [18]

Sample space is 36.so the probability must be 20/36.from three digits the maximum no.of number can be made is 6.

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3 years ago

Which pair of the following straight lines are parallel and how?

igomit [66]

Answer:

f and b

Step-by-step explanation:

if you put them in y-intercept form, both slopes are 3

In b. it's easy to see that 3x has a slope of 3.

In f. it's not so obvious. Just solve for y or use the shortcut m = -a/b where a is the coefficient of x and b is the coeff of y.

hence -(6/-2)=3

6 0

4 years ago

Read 2 more answers

Victor is saving for a used car that costs $8,000. He plans to save $500 every month. Calculate how long it would take him to sa

anygoal [31]

Answer: It will take Victor 16 months.

Step-by-step explanation:

He is saving for a used care which coast $8000 and saving $500 per month and we can represent that by the equation 500x = 8000 where x is the number of months.

500x = 8000 solve for x by dividing both sides by 500

x = 16

6 0

3 years ago

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The number 0.35 is a(n) __________ number because __________.

Aleks04 [339]

I'm not sure it is for sure a real number or a rational number.

3 0

3 years ago

Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If

valentinak56 [21]

Answer:

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

Step-by-step explanation:

Given monthly income of Ron is $3,142.23

Ron contributes 10% of his monthly income that is $ 314.223

Given : Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) = $\frac{0.055}{12}$

time period = 40 years = 480 months

Principal amount = $ 314.223

Future value = $P(\frac{(1+r)^n-1}{r} )$

Substitute , we get,

$=3142.23\cdot\frac{.10\left(\left(1+\frac{.055}{12}\right)^{12\cdot40}-1\right)}{\frac{0.055}{12}}$

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

$P=\dfrac{A\cdot\frac{i}{12} }{1-(1+\frac{i}{12})^{-n}}$

Putting values , we get,

$P=\frac{\left(547074.68\cdot\frac{.055}{12}\right)}{1-\left(1+\frac{0.055}{12}\right)^{-240}}$

P = $3763.25

He will receive a monthly income of $3763.25.

But given he will need a monthly income of $4,123 for 20 years which is not met by Ron.

So,the amount he need to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

4 0

3 years ago

Read 2 more answers