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2 years ago

9

In one month you had both a raise and a $250 bonus for exceeding your goals by 10%. Your old paycheck gross was $2,300, with a n

et pay of $1,791. This month your paycheck gross was $2,711.

1 answer:

Allushta [10]2 years ago

8 0

411$ that's how much his raise was

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Solve the system: <br> 2x+6y=36<br> x+4y=20

Assoli18 [71]

<u>Let's solve this problem step-by-step</u>

<u>Let's set</u>:

2x + 6y = 36 -- equation 1

x + 4y = 20 -- equation 2

(equation 2) * 2

2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

2y = 4

y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

x + 4(2) = 20

x = 20 - 8

x = 12

<u>Thus x = 12 and y = 2</u>

<u>Let's check, by substituting these values</u>

$2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20$

<u>Answer: x = 12 and y = 2</u>

Hope that helps!

5 0

1 year ago

The solution to #68 and #70

atroni [7]

The trick is to write appropriate equations and then solve the system of equations you've created.

"sum of two numbers is -5:" x + y = -5

"difference is -1:" x-y = -1

Add these two equations together. This will cause y to drop out, and you will be left with an equation in x alone:

2x = - 6, so x = -3. Subst. -3 for x in either equation, above, and find the corresponding y value.

Then write your solution as (-3, y ) (write in your value for y).

8 0

2 years ago

Find the solution to the equation algebraically. Check your answer. k - 16 = 4

vitfil [10]

Answer:

k= 20

Step-by-step explanation:

You start with this equation:

k-16=4

Add 16 on both sides.

k=4+16

Simply.

k=20

If you want to check your answer, you can just plug 20 into where k is back into the equation:)

Hope this helps!

7 0

2 years ago

An Investment of $10,000 yields 8% interest compounded quarterly.

Pachacha [2.7K]

An Investment of $10,000 yields 8% interest compounded quarterly. The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

The principal amount of investment = $10,000
Interest Rate = 8% = 0.08
number of times it get compounded = 4

a. we are to determine the amount of the accumulated capital after 6 months.

i.e. when time (t) = 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

$\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}$

$\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}$

$\mathbf{A = 10000(1.02)^2}}$

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

i.e. when time (t) = 5 years

$\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}$

$\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}$

$\mathbf{A = 10000(1.02)^20}}$

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound interest here:

brainly.com/question/14295570?referrer=searchResults

5 0

2 years ago

Help plzzzzzzzzzzzzzzz

Ivan

Answer:

Step-by-step explanation:

1+1=2

4 0

2 years ago

Read 2 more answers