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Maurinko [17]
3 years ago
15

Korey is planning to open a comic book store. He has developed the following expense breakdown for set-up and operation for the

first year. Korey has $8,500 in savings and $25,000 in inheritance money to use to open his store. If Korey doesn’t make any changes to his initial expenses, what percent of the total set-up and operation expense will have to be funded through loans or investors?
Mathematics
2 answers:
pentagon [3]3 years ago
8 0
The total amount of cash money that Korey have is the summation of his savings and his inheritance which is equal to Korey cash = $8500 + $25,000.
To identify the amount needed to be funded by loans or investors, we need to know first the total of expenses plus set-up plus operation expenses and other expenses to operate the bookstore subtracted by his savings.

Thus, let "AL" be the amount needed through loans while letting "TE" for total expenses.

AL=TE-($8500+$25000)
AL=TE-$33,500

This is the equation needed to determine the amount needed.


lbvjy [14]3 years ago
8 0

Answer:

b.

No, Korey will be short $1,600.

Step-by-step explanation:

just took the test

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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
2 years ago
Can anyone help me understand this
bagirrra123 [75]

Answer:

(x, y) = (2, 9)

Step-by-step explanation:

For the triangles to be congruent, the hypotenuses must be the same length:

y = x + 7

and the marked leg must be the same length in each triangle:

y -3 = 4x -2

These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:

(x +7) -3 = 4x -2

x +4 = 4x -2 . . . . . . collect terms

x +6 = 4x . . . . . . . . .add 2

6 = 3x . . . . . . . . . . . subtract x

2 = x . . . . . . . . . . . . divide by 3

y = 2 + 7 = 9 . . . . . .substitute for x in the first equation

The values you're looking for are x = 2, y = 9.

5 0
3 years ago
30 in
allsm [11]
Just add them all up that’s it and you will get 20
8 0
3 years ago
Jessica is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x r
uranmaximum [27]

After differentiating, the amount when x=0 yields starting amount,

300 dollars.

What is diffrentiation?

  • A technique for determining a function's derivative is differentiation.
  • A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of variation based on a particular variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.
  • In mathematics, differentiation is used to determine change rates. 

Differentiating the given equation with respect to x,

Given equation,

y= 55x+ 300

\frac{dy}{dx} =\frac{d(55x+300)}{dx} = 55+0 =$55 dollars.

The amount when x=0 yields starting amount,

y=55(0)+300=300

Learn more about differentiation here:

brainly.com/question/25081524

#SPJ9

6 0
1 year ago
Two areas urgent fastttttttttttttttttttttttttttttt
Semmy [17]

Answer:

Rectangle: 112m

Trapezoid: 28m

Step-by-step explanation:

The area of the rectangle is 8*14, which is 112. The area of the trapezoid is ((base1 + base2)* height)/2. That is ((4+10)*4)/2, which is 28.

4 0
2 years ago
Read 2 more answers
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