1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tom [10]
4 years ago
7

Which number describes the value of his signing bonus? Michael has a substantial student debt, but he recently got a new job, wh

ich came with a signing bonus. He calculates that with his new job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off his debt. He constructs the expression 36,700 - (5,000+500m) to represent the size of his debt after months. Which number describes the value of his signing bonus?
Mathematics
1 answer:
Harrizon [31]4 years ago
8 0

Answer:

5000.

Step-by-step explanation:

It is given that Michael put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off his debt.

He gets signing bonus once. So, there is no effect of month on amount of bonus.

The expression which represents the size of his debt after m months is

36,700-(5000+500m)

Here,

m is number of months.

500 is fixed amount of money every month to pay off his debt.

36,700 is student debt.

5000 is signing bonus.

Therefore, number 5000 describes the value of his signing bonus.

You might be interested in
Madison bought an empty lot for $2,000 and later sold it for a 25% profit. How much did Madison sell the lot for?
Maurinko [17]

Answer:

A)500

Step-by-step explanation:

5 0
3 years ago
Demonstrate two different ways to solve the equation 5^(2x+1) = 25.
Tanzania [10]

Answer:

Step-by-step explanation:

Method 1: Taking the log of both sides...

So take the log of both sides...

5^(2x + 1) = 25

log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...

(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...

(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...

(2x)log 5 + log 5 - log 5 = log 25 - log 5

(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)

(2x)log 5 = log 5 <-- divide both sides by log 5

(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..

2x = 1

x=1/2

Method 2

5^(2x+1)=5^2

2x+1=2

2x=1

x=1/2

3 0
3 years ago
PLEASE HELP
Ronch [10]

Answer:

<em><u>1 and 5</u></em>

Step-by-step explanation:

The squares have a side length of 10 and 1 square side is the radius of the half-circles. Since there are two half-circles, find the circumference for one full circle:

C=2\pi r

Insert the radius:

r=10\\C=2\pi *10

Simplify pi:

C=2*3.14*10

Simplify multiplication:

C=6.28*10\\C=62.8

The circumference of the circles is 62.8. Now find the perimeter of the exposed squares with side length 10. There are 4 exposed sides, which equals one square. Find the perimeter:

P=10+10+10+10\\P=10+10+20\\P=10+30\\P=40

Add the perimeter of the circle and the square together:

P=62.8+40=102.8

Now see which of the options gives you the perimeter:

1. 40+20\pi =102.8  ****

2. unavailable

3. 120+20\pi =182.8

4. 300+100\pi =614.2

5. 10+10+10\pi +10+10+10\pi =102.8 ****

Finito.

7 0
3 years ago
AB = 3 + x
ICE Princess25 [194]

The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.

<u>Step-by-step explanation</u>:

ABCD is a quadrilateral with their opposite sides are congruent (equal).

The both pairs of opposite sides are given as AB = 3 + x , DC = 4x , AD = y + 1 , BC = 2y.

  • AB and DC are opposite sides and have same measure of length.
  • AD and BC are opposite sides and have same measure of length.

<u>To find the length of AB and DC :</u>

AB = DC

3 + x = 4x

Keep x terms on one side and constant on other side.

3 = 4x - x

3 = 3x

x = 1

Substiute x=1 in AB and DC,

AB = 3+1 = 4

DC = 4(1) = 4

<u>To find the length of AD and BC :</u>

AD = BC

y + 1 = 2y

Keep y terms on one side and constant on other side.

2y-y = 1

y = 1

Substiute y=1 in AD and BC,

AD = 1+1 = 2

BC = 2(1) = 2

Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.

6 0
3 years ago
Help 10 pointssss!!!
kvasek [131]

Answer: Go to demos graphing

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • How do you figure out whether a fraction will be a terminating decimal or a repeating decimal?
    7·1 answer
  • You are working as a car salesperson at a motor shop. You earn a 2% commission on every car sale, in addition to your wage of $2
    12·2 answers
  • *QUICK HELP PLEASE<br><br> Which pairs of angles are adjacent? Select all that apply.
    11·1 answer
  • Make r the subject of the formula t=r/r-3
    5·1 answer
  • write the first five terms of the sequence defined by the recursive formula an = 2 (an-1)^2, with a1 = 1.
    7·1 answer
  • What is the value of 6a + 2b if a = 1 and b = 2?
    11·2 answers
  • What is the area of this?
    12·1 answer
  • Figure A is dilated to create A'. 5 in 3 in Figure A Figure A 10 in 6 in Which rule best represents the dilation that was applie
    10·1 answer
  • Find the surface area of the pyramid. the surface area of the pyramid is __in squared.
    9·1 answer
  • The area of a rectangle is Aww (1) What is the area of a rectangle that has a width of 34 and a length of 10
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!