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anastassius [24]

3 years ago

7

Tuition for one year at University of State costs $12,000 a year. Robin would like to attend this university and will save money

monthly the
next four years. Her parents will give her $2,500 for her first years tuition. How much money must Robin save per month to have enough
money for the first year of college at University of State?

2 answers:

valentinak56 [21]3 years ago

6 0

12,000 - 2,500 = 9,500 left for Robin to pay.
4 years = 48 months she will be saving

9500/48 = 197.91666 = 197.92/month.

sveticcg [70]3 years ago

4 0

Answer:

If the parents are giving 2500, than Robin needs to save 9500 for the first year. She will be saving for 4 years, with 12 months in a year multiply 4 and 12. she will be saving for 48 months. divide 9500 by 48 you get 198. She needs to save 198 a month

Step-by-step explanation:

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4(4m-3)-m(m-5)=-52 need all the steps

nadezda [96]

$\huge\mathcal {♨Answer♥}$

$\large\texttt{Simplifying: }$

4(4m -3) + -1m(m + -5) = -52

$\large\texttt{Reorder the terms: }$

4(-3 + 4m) + -1(m + -5) = -52

(-3 * 4 + 4m * 4) + -1(m + -5) = -52

(-12 + 16m) + -1(m + -5) = -52

$\large\texttt{Reorder the terms: }$

-12 + 16m + -1(-5 + m) = -52

-12 + 16m + (-5 * -1 + m * -1) = -52

-12 + 16m + (5 + -1m) = -52

$\large\texttt{Reorder the terms: }$

-12 + 5 + 16m + -1m = -52

$\large\texttt{Combine like terms: }$

-12 + 5 = -7

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$\large\texttt{Combine like terms: }$

16m + -1m = 15m

-7 + 15m = -52

$\large\texttt{Solving: }$

-7 + 15m = -52

-7 + 7 + 15m = -52 + 7

$\large\texttt{Combine like terms: }$

-7 + 7 = 0

0 + 15m = -52 + 7

15m = -52 + 7

$\large\texttt{Combine like terms: }$

-52 + 7 = -45

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$\large\texttt{Divide each side by '15'. }$

15m ÷ 15 = -45 ÷ 15

m = -3

$\large\texttt{Simplifying: }$

m = -3

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Step-by-step explanation:

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Solve | x + 6| - 7 = 8

Alex

Answer:

x = 9,-21

Step-by-step explanation:

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Cancel absolute sign and add plus-minus to 15:

$\displaystyle \large{x+6=\pm 15}$

Transport 6 to subtract ±15:

$\displaystyle \large{x=\pm 15-6}$

Consider:

$\displaystyle \large{x= 15-6}$ or $\displaystyle \large{x = -15-6}$

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x = 9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Second Method

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Absolute Function Property:

$\displaystyle \large{|x-a| = \begin{cases} x-a \ \ (x \geq a) \\ -x+a \ \ (x < a) \end{cases}}$

Consider both intervals:

When x ≥ a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{x+6=15}$

Transport 6 to subtract 15:

$\displaystyle \large{x=15-6}\\\displaystyle \large{x=9}$

When x < a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{-(x+6)=15}\\\displaystyle \large{-x-6=15}$

Transport -6 to add 15:

$\displaystyle \large{-x=15+6}\\\displaystyle \large{-x=21}$

Transport negative sign to 21:

$\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Let me know if you have any questions regarding this question, my answer or explanation. Hope this answer and explanation helps you and good luck with your assignment!

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