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valentinak56 [21]
3 years ago
6

Trever Goetz is a salesperson who is paid a monthly salary of $500 plus a 2% commission on sales. How much must he sell to earn

a total of $2,000 this month?
Mathematics
1 answer:
dedylja [7]3 years ago
4 0
Whatever% of anything is just (whatever/100) * anything.

now, we know Trever makes $500 in salary and 2% on sales, let's say he sells "x" amount, how much is 2% of x?  well (2/100) * x, or 0.02x.

Therefore Trever's earnings are 500 + 0.02x, his salary plus his commission.

to earn a total of 2,000, then 500 + 0.02x = 2000, thus

\bf 500+0.02x=2000\implies 0.02x=1500\implies x=\cfrac{1500}{0.02}\\\\\\ x=75000
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F(x)=-11x-2 and g(x) =7x-4 find (f°g)(x)​
tatyana61 [14]

Answer:

- 77x + 42

Step-by-step explanation:

note that (f ○ g)(x) = f(g(x)

Substitute x = g(x) into f(x)

f(g(x))

= f(7x - 4)

= - 11(7x - 4) - 2

= - 77x + 44 - 2

= - 77x + 42

7 0
3 years ago
13 POINTS- please help me
allsm [11]

Answer:

See explanation

Step-by-step explanation:

16. Two parallel lines are cut by transversal. Angles with measures (6x+20)^{\circ} and (x+100)^{\circ} are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:

6x+20=x+100\\ \\6x-x=100-20\\ \\5x=80\\ \\x=16

Then

(6x+20)^{\circ}=(6\cdot 16+20)^{\circ}=116^{\circ}\\ \\(x+100)^{\circ}=(16+100)^{\circ}=116^{\circ}

17. Two parallel lines are cut by transversal. Angles with measures (2x+12)^{\circ} and (3x-22)^{\circ} are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:

2x+12=3x-22\\ \\2x-3x=-22-12\\ \\-x=-34\\ \\x=34

Then

(2x+12)^{\circ}=(2\cdot 34+12)^{\circ}=80^{\circ}\\ \\(3x-22)^{\circ}=(3\cdot 34-22)^{\circ}=80^{\circ}

18. Two parallel lines are cut by transversal. Angles with measures (6x-7)^{\circ} and (5x+10)^{\circ} are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:

6x-7=5x+10\\ \\6x-5x=10+7\\ \\x=17

Then

(6x-7)^{\circ}=(6\cdot 17-7)^{\circ}=95^{\circ}\\ \\(5x+10)^{\circ}=(5\cdot 17+10)^{\circ}=95^{\circ}

19. The diagram shows two complementary angles with measures 2x^{\circ} and 56^{\circ}. The measures of complementary angles add up to 90^{\circ}, then

2x+56=90\\ \\2x=90-56\\ \\2x=34\\ \\x=17

Hence,

2x^{\circ}=2\cdot 17^{\circ}=34^{\circ}

Check:

34^{\circ}+56^{\circ}=90^{\circ}

20. Angles \angle 1 and \angle 2 are vertical angles. By vertical angles theorem, vertical angles are congruent, so

m\angle 1=m\angle 2\\ \\5x+7=3x+15\\ \\5x-3x=15-7\\ \\2x=8\\ \\x=4

Hence,

m\angle 1=(5x+7)^{\circ}=(5\cdot 4+7)^{\circ}=27^{\circ}\\ \\m\angle 2=(3x+15)^{\circ}=(3\cdot 4+15)^{\circ}=27^{\circ}

21. \angle 5 and \angle 8 are supplementary. The measures of supplementary angles add up to 180^{\circ}, so

m\angle 5+m\angle 8=180^{\circ}\\ \\3x-40+7x-120=180\\ \\10x-160=180\\ \\10x=180+160\\ \\10x=340\\ \\x=34

Therefore,

m\angle 5=(3x-40)^{\circ}=(3\cdot 34-40)^{\circ}=62^{\circ}\\ \\m\angle 8=(7x-120)^{\circ}=(7\cdot 34-120)^{\circ}=118^{\circ}\\ \\62^{\circ}+118^{\circ}=180^{\circ}

7 0
3 years ago
Pretend that you are a strawberry farmer and the market price of strawberries went up $1 per pound to $4 per pound. Explain what
Karolina [17]
Increase the price of the strawberries to keep the same profit
3 0
3 years ago
Need help on this one!! plz show process
diamong [38]
Sally is 6 and Tomas is 3 so

6 +(3×2)

and 6-3
6 0
3 years ago
What is 3/16= c-7/8 please answer
Bingel [31]

Answer:

c=17/16

Step-by-step explanation:

3/16=c-7/8

find the common denominator

3/16=c-14/16

add 14/16 on both sides to cancel

c=17/16

7 0
3 years ago
Read 2 more answers
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