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
natta225 [31]
11 months ago
9

Help Katherine has a new job and earns salary of $55,000. max has a new job and earns a salary of $64,000. Katherine will receiv

e a salary increase of $2,500 per year and Max will receive a salary increase of $1,500 per year.
Which equation ca be used to find x, the number of years it will take Katherine to earn the same salary as Max?


A. 55,000x+2,500x=64,000+1500x

B. 55,000+2500x=64,000+15000x

C. 55,000+64000x+1.500

D. 55,000x+2500=64,000+1,500
Mathematics
1 answer:
monitta11 months ago
5 0

The equation that represent the same salary is 55,000x+2,500x=64,000+1500x

<h3>What is Algebra?</h3>

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

Katherine has a new job and earns salary of $55,000.  Katherine will receive a salary increase of $2,500 per year .

max has a new job and earns a salary of $64,000. Max will receive a salary increase of $1,500 per year.

So, in the case they would have the same salary for some x years the expression can be

Katherine salary along with increment= 55000+ 2500x

Max salary along with increment= 64000+ 1500x

Hence, equation ca be used to find x, the number of years it will take Katherine to earn the same salary as Max is 55,000x+2,500x=64,000+1500x.

Learn more about algebra here:

brainly.com/question/24875240

#SPJ1

You might be interested in
Find the area enclosed by the graphs of y=√(4-4x), y=√(4-x) and x-axis by integrating with respect to x and integrating with res
Sloan [31]

Answer:

(A) 2/3 [√(4-4x)]^3

(B) 2/3 [√(4-x)]^3

Step-by-step explanation:

Integrating the functions,

(A) Any function in square root is equal to or same as the function raised to the power of 1/2

To integrate, add 1 to the power of the function. That's 1/2 + 1 = 3/2

Divide the function by this new power 3/2. This implies multiplying the function by the inverse of 3/2. The inverse of 3/2 is 2/3.

Also, when a function is raised to the power of a fraction instead of a whole number, you take the 'denominator' root of the function, and then raise the function to the power of the numerator.

Here, the denominator is 2, so you take the square root of the function, and raise the function to the power of 3

So the integral of Y = √[4-4x] is

2/3 [√(4-4x)]^3

(B) In like manner, the integral of

Y = √[4-x] is

2/3 [(√4-x)]^3

6 0
3 years ago
Given f(x) = 2x + 1, find the range value if the domain value is 1.75.
MAXImum [283]

Given:

The function is

f(x)=2x+1

To find:

The range value if the domain value is 1.75.

Solution:

Domain is the set of input values and range is the set of output values.

Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.

Substitute x=1.75 in the given function.

f(1.75)=2(1.75)+1

f(1.75)=3.5+1

f(1.75)=4.5

Therefore, the required range value is 4.5.

4 0
2 years ago
An electrical engineer wishes to compare the mean lifetimes of two types of transistors in an application involving high-tempera
Olin [163]

Answer:

(115.2642, 222.7358).

Step-by-step explanation:

Given data:

type A: n_1=60, xbar_1=1827, s_1=168

type B: n_2=180, xbar_2=1658, s_2=225

n_1 = sample size 1, n_2= sample size 2

xbar_1, xbar_2 are mean life of sample 1 and 2 respectively. Similarly, s_1 and s_2 are standard deviation of 1,2.

a=0.05, |Z(0.025)|=1.96 (from the  standard normal table)

So 95% CI is

(xbar_1 -xbar_2) ± Z×√[s1^2/n1 + s2^2/n2]

=(1827-1658) ± 1.96×sqrt(168^2/60 + 225^2/180)

= (115.2642, 222.7358).

8 0
3 years ago
John Simone is buying a used car for a total cost of $11,805.00. He’s making a down payment of $1,500.00 and borrowing the remai
balu736 [363]

Answer:

Step-by-step explanation:

Given that John Simone is purchasing a used car for 11805 dollars.

Down payment = 1500

Net loan amount = 11805-1500 = 10305

Equal monthly instalments he paid = 343 dollars

Tenure =3 years

For 3 years rate of interest should be 12.2%

Then only we get for 3 years for the loan emi as 343

4 0
3 years ago
In order to have 1 million dollars in 40 years with an annual interest rate of 11.6%, I will have to invest $_ (round to the nea
tino4ka555 [31]
To solve the problem we use the compound formula given by:
A=p(1+r/100)^n
where:
A=future amount:
p=principle
r=rate
A=1000000, r=11.6%, n=40
plugging the value in the formula we get:
1000000=p(1+11.6/100)^40
solving for p we get:
1000000=80.6432p
p=12400.300
rounding to the nearest 1000 we get
p=$12000
Answer: 
<span>A.) 12,000</span>
3 0
3 years ago
Other questions:
  • Giving away brainliest (assuming there is more than one person answering, of course)
    14·1 answer
  • In a 6 team floor hockey league each team plays each of the other teams twice what is the total number of games played
    13·1 answer
  • What is the least common multiple of 4and10
    15·2 answers
  • A regular pyramid has a base that is an equilateral triangle with sides 16 inches long. Is it possible to determine the surface
    14·1 answer
  • What is the equation of this line<br><br> Y=-4x<br><br> Y=-1/4x<br><br> Y=4x<br><br> Y=1/4x
    8·1 answer
  • How do you set up this problem? Your class sells boxes of oranges to raise $500 for a field trip. You earn $6.25 for each box of
    15·1 answer
  • A sculpture is created with colored blocks each with a volume of 1 cubic foot. What is its volume if the sculpture is 12 feet lo
    13·1 answer
  • A number, x, rounded to 1 significant figure is 200 Write down the error interval For x.
    15·1 answer
  • What is a formula for the nth term of the given sequence?<br> 19,23,27...
    15·1 answer
  • Please help me with this, anything is appriciated!! ^^
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!