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3 years ago

Solving systems of equations using substitution with both equations in y=mx+b

Mathematics

1 answer:

UNO [17]3 years ago

5 0

1. solution: (x,y)=(1,12)
x + 11 = 12x
x = 1
x = 12 x 1
y = 12
(x,y) = (1,12)
if you need the rest, let me know.

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Find the amount of time. <br> 8. I = $2000, P = $5000, r = 8%

algol [13]

Answer:

t = 5 years

Step-by-step explanation:

I = $ 2000

P = $ 5000

r = 8%

$I = P * \frac{r}{100}*t\\\\t =\frac{ I * 100}{P*r}\\\\t =\frac{2000*100}{5000*8}\\\\ = 5$

5 0

3 years ago

Kevin cycles 18 miles every morning as part of his exercise. The time it takes him to complete the distance varies inversely as

Schach [20]

Hello, I am papaguy

Here is your answer

In terms of distance, the average speed for the total x miles you'd travel would be 50 miles per hour. However, if you include the fact that you spent less time traveling 60 miles per hour than 40, the average would be closer to 40 than 60 miles per hour.

Please note this is information you can use do not copy and paste.

Thank you papaguy And If I am wrong I will look into it!

8 0

3 years ago

Read 2 more answers

Old time savings bank pays 4% interest on its savings accounts. if you deposit $1,000 in the bank and leave it there: (do not ro

topjm [15]

A. $40, because you would do 1,000 × 1.04 = $1,040, and then subtract the original $1,000.
b. $81.60, because 1,000 × 1.04² = 1,081.6
c. $480.24, because 1,000 × 1.04^10 = 1,480.24.
I have used the formula for compound interest presuming you were aware of it, but I will be happy to explain what I did if you want :).
I hope this helps!

3 0

3 years ago

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Last year, Mr. Engle's total income was $52,000, while his total expenses were $53,800. Use the expression I-E/12, where I repre

olga55 [171]

Given Mr. Engle’s total income, I = $52,000 and total expenses, E = $53,800, solving for average difference between income and expenses per month:
(I-E)/12 = ($52,000 - $53,800)/12
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(I-E)/12 = -$150
This means that Mr. Engle’s expenses exceed his income by an average of $150 each month in the said year.

3 0

3 years ago

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If x€{-2,-1,0,1,2,3,4,5} find the solution set 7-x>0 ii 3-4x>-2 vi 3x+4>-2

maw [93]

Answer:

i) {-2 , -1 , 0 , 1 ,2 , 3 , 4 , 5}

ii) {-2 , -1 , 0 , 1}

iii) {-1 , 0 , 1 ,2 , 3 , 4 , 5}

Step-by-step explanation:

i) 7 - x > 0

⇔ 7 > x

⇔ x < 7

⇔ x ∈ {-2 , -1 , 0 , 1 ,2 , 3 , 4 , 5}

____________________________

ii) 3 - 4x > -2

⇔ 3 + 2 > 4x

⇔ x < 5/4

⇔ x ∈ {-2 , -1 , 0 , 1}

____________________________

iii) 3x + 4 > -2

⇔ 3x > -2 - 4

⇔ 3x > -6

⇔ x > -6/3

⇔ x > -2

⇔ x ∈ {-1 , 0 , 1 ,2 , 3 , 4 , 5}

8 0

2 years ago