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schepotkina [342]
2 years ago
9

Maddox wants to go back to college full-time. His current employer has agreed to reduce his hours from 40 hours to 25 hours whil

e retaining his current rate of pay. Maddox has lived in his own apartment for 1 year and really likes his independence. Which of the following budgets below would fit his new situation?
Monthly Budget
Current Amount
Income
Wages
$1760
Expenses -
Rent
Utilities
Food
Gym Membership
Entertainment
Savings
Clothes
Cell Phone
Car Expenses
$350
$100
$220
$45
$225
$200
$175
$100
$300
Net Income
$45

Monthly Budget
Modified Budget A
Modified Budget B
Modified Budget C
Modified Budget D
Income
Wages
$1100
$1600
$1600
$1100
Expenses -
Rent
Utilities
Food
Gym Membership
Entertainment
Savings
Clothes
Cell Phone
Car Expenses
$350
$100
$120
$0
$20
$50
$30
$100
$300
$350
$100
$120
$0
$20
$50
$30
$100
$300
$350
$100
$220
$45
$225
$200
$175
$100
$300
$350
$100
$220
$45
$220
$150
$130
$100
$300
Net Income
$30
$530
-$115
-$515

a.
Modified Budget A
b.
Modified Budget B
c.
Modified Budget C
d.
Modified Budget D
Mathematics
2 answers:
4vir4ik [10]2 years ago
8 0

Answer:

Best fit for his new situation is modified budget A

Step-by-step explanation:

lets first calculate Wages which will be earned by Maddox after reduction of working hours .

from his current situation we can say that ,

for working of 40 hours ,  Maddox monthly income wages = $1760

so  for working of 1 hour , Maddox monthly income wages = $1760÷40=$44

hence for working of 25 hour , Maddox monthly income wages will be $44 × 25 = $1100.

So New wages after reduction of working hours will be $1100. but if you see , in budget B and C , Income wages is considered as $1600 which will not be case after reduction of working hours to 25 . hence Maddox cannot go for Modified Budget B and Modified Budget C.

So he needs to decide between Modified Budget A and Modified Budget D.

Now lets concentrate upon Net income for Modified Budget A and Modified Budget D. Net income for Modified Budget D is in negative that is -$515. that means he need to earn $515 more to meet Budget D , but income wages are fixed that is $1100.

At last lets see Net income of modified budget A. he is able to save $30 , hence we can say that best fit for his new situation is modified budget A


g100num [7]2 years ago
6 0
<h2><u>Answer:  </u></h2>

Best fit for his new circumstance is altered spending plan A  

<h3><u> Explanation:</u></h3>

Gives initial a chance to figure Wages which will be earned by Maddox after decrease of working hours .  

From his present circumstance we can say that,  

For working of 40 hours ,  Maddox month to month pay compensation = $1760  

So  for working of 1 hour , Maddox month to month salary compensation = $1760÷40=$44  

Thus to work of 25 hour , Maddox month to month salary wages will be $44 × 25 = $1100.  

So New wages after decrease of working hours will be $1100. be that as it may, in the event that you see , in spending B and C , Income compensation is considered as $1600 which won't be case after decrease of working hours to 25 . subsequently Maddox can't go for Modified Budget B and Modified Budget C.  

So he needs to settle on Modified Budget An and Modified Budget D.  

Presently lets concentrate upon Net pay for Modified Budget An and Modified Budget D. Net gain for Modified Budget D is in negative that is - $515. that implies he have to gain $515 more to meet Budget D , however salary compensation are settled that is $1100.  

Finally gives see A chance to total compensation of adjusted spending plan A. he can spare $30 , subsequently we can say that best fit for his new circumstance is adjusted spending plan A  

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During a college fun-fair, the entrance fee for students was $12 and for teachers (and their family members) it was $30. 75 peop
solmaris [256]

Answer:

25 Students attended and 50 teachers and their family members attended

Step-by-step explanation:

50x30=1500

25x12=300

1500+300=1800

Hope this helped :)

3 0
2 years ago
An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach
Alik [6]

Answer:

5.8 , which approximately is 6 weeks.

Step-by-step explanation:

the first method is the short one since u just have to double the 85 then divide to 1000.

1000 ÷ ( 85 × 2)

1000 ÷ 170 = 5.882,,,,,. round off to whole number to get 6.

the second method is the addition method.

we start by 85 then keep doubling 85 for every week........inshort.......we add 170 to each weeks number to get the number of followers for the following week.

85 ⇒ 170 ⇒ 340 ⇒ 510 ⇒ 680 ⇒ 850 ⇒ 1020.

     1st      2nd      3rd     4th      5th         6th     week.

u notice that we add (85×2), 170, to get the following week's number of followers..

in 5 weeks..... the number of followers is yet to get to 1000.

when u divide, u get 5.8.....,and it is not logic to say 5.8823....weeks

since she reaches 1000 followers in the 6th week.......though there is an addition,,,, it is the most appropriate answer.

3 0
2 years ago
5. Whitney deposits $9,000 for 2 years. She compares two different banks. State
Volgvan

Answer:

a. $ 381.969,

b. $ 369.171,

c. Kings Savings

d. Reliability.

Step-by-step explanation:

∵ Amount formula in compound interest,

A=P(1+r)^t

And, amount formula in continuously,

A=Pe^{rt},

Where,

P = principal amount,

r = rate per periods,

t = number of periods,

a. In State bank,

P = $ 9000, r = 2.1% = 0.021, t = 2 years,

Also, interest earned compound annually,

Thus, amount,

A=9000(1+0.021)^2 = 9000(1.021)^2 = \$ 9381.969

So, interest earned = A - P = 9381.969 - 9000 = $ 381.969,

b. In Kings Savings,

P = $ 9000, r = 2.01% = 0.0201, t = 2 years,

Also, interest earned compound continuously,

Thus, amount,

A=9000e^{0.0201\times 2} = \$ 9369.171

So, interest earned = A - P = 9369.171 - 9000 = $ 369.171,

c. ∵ 369.171 > 381.969

Thus, King saving pays higher interest.

d. Since, the other factors might affect Whitney's choice besides interest would be reliability.

5 0
2 years ago
Kelly asked some of her classmates how many hours of sleep they get on school nights. Here are the results:
Hitman42 [59]

All three are equal to 8

5 0
1 year ago
Read 2 more answers
A rectangle piece of paper has a width that is 3 inches less than it's length. It is cut in half along a diagonal to create two
yarga [219]

Answer:

A. The area of the rectangle is 88 square inches.

C. The equation x² – 3x – 88 = 0 can be used to solve for the length of the rectangle.

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.

A.The area of the rectangle is 88 square inches.

B.The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle.

C.The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.

D.The triangle has a base of 11 inches and a height of 8 inches.

The rectangle has a width of 4 inches.

If a rectangular piece of paper has a width that is 3 inches less than it's length and it is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches, the width of the rectangle will be equal to the base of the each of the triangle, and the length equal to the height of the triangle.

Let the length of the rectangular piece of paper be L. If its width is 3 inches less than it's length, then W = L-3

The base of the triangle = L-3 and the height = L

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 (L-3)L

If the area of the congruent triangles is 44in², then;

44 = 1/2 (L-3)L

88 = (L-3)L

88 = L²-3L

L²-3L-88=0

L²-11L+8L-88=0

L(L-11)+8(L-11)=0

(L-11)(L+8)= 0

L = 11in

This shows that the height of the triangle is 11 inches.

The base of the triangle = 11-3 = 8 inches

The area of the rectangle = Length*Breadth

= 11* 8

= 88in²

Based on the calculation above, the following statements are true.

-The area of the rectangle is 88 square inches.

-The equation x² – 3x – 88 = 0 can be used to solve for the length of the rectangle.

7 1
2 years ago
Read 2 more answers
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