Malik starts a job at which his starting salary is
$25,500 per year. He expects that his salary will
increase by a constant dollar amount annually. In
12 years, his salary will be double his starting salary.
Assuming salary increases take place only at the
end of a full year, how many years must Malik wait
until his salary is at least $40,000 annually?

Answers

Answer 1

9514 1404 393

Answer:

  7 years

Step-by-step explanation:

Malik's salary grows 25,500 in 12 years, so at the rate of ...

  $25,500/(12 yr) = $2125/yr

To get his salary up to 40,000, it must grow by ...

  40,000 -25,500 = 14,500

To grow that much will take ...

  $14,500/($2125/yr) ≈ 6.82 yr

Malik must wait 7 years until his salary is at least $40,000.

_____

At the end of the 7th year, Malik's salary will be raised to ...

  $25,500 + 7·2,125 = $40,375


Related Questions

John want to buy a pair of boots that originally cost $85.99 He found a coupon for %30 off what will he pay for the boots?

Answers

Answer:

$60.19

1.) 85.99 x 0.30

2.) 25.797 - 85.99

3.) 60.193

4.) round

$60.19

Hope this helped!

Answer:

John is paying $60.19 for the boots after 30%off.

Step-by-step explanation:

$60.193 or $60.19

A tree is growing at a constant rate. It is recorded that at the 7th year since it was planted it was at a height of 25 feet. It was recorded again at the 10th year since it was planted and it was at a height of 31 feet. How much does the tree grow every year?

Answers

9514 1404 393

Answer:

  2 feet per year

Step-by-step explanation:

In the 3 years between the 7th and 10th, the tree grew 6 feet from 25 ft to 31 ft. The rate of growth is ...

  (6 ft)/(3 yr) = (6/3) ft/yr = 2 ft/yr

Gia walked 1/4 mile from her house to the park, then 3/8 mile around the park, and then 1/4 mile back home. How many miles did she walk in all?

Answers

Answer:

7/8 miles

Step-by-step explanation:

Given data

From her house to the park= 1/4 miles

Around the park = 3/8 miles

back home= 1/4 miles

Total distance= 1/4+3/8+1/4

LCM= 8

=2+3+2/8

=7/8 miles

Given the 2 equations, solve for x, when the y's are equal.

y=2x+4 y=x+1

Answers

Answer:

x=-3

Step-by-step explanation:

2x+4=x+1

-x      -x

x+4=1

 -4  -4

x=-3

-3
correct if wrong

The school band is selling t-shirts for a fundraiser. The initial cost for a steamer to apply the decals is $100. It is predicted that the cost of material for each shirt is $12. The function that shows the band's average cost per t-shirt after x t-shirts are sold is:

Answers

Answer: Vertical asymptotes is x = 0 and the horizontal asymptotes is y = 12.

The average cost approaches to 12 when the number of shirts increases.

Step-by-step explanation:

Since we have given that

Initial cost for a steamer to apply the declas = $100

Cost of material for  each shirt = $12

Function representing the band's average cost per t-shirt  after x t-shirt are sold is given by:

We need to find the vertical asymptotes , horizontal asymptotes and the average cost to make a t-shirt approaches as the number of t-shirts increases,

For vertical asymptotes , we will make denominator equal to zero.

So, it will be

Thus, vertical asymptotes is x= 0.

Similarly,

For horizontal asymptotes, we first check the degree of both numerator and denominator.

Since we can see that both have the same degree i.e. 1.

So,

So, the horizontal asymptotes is y = 12.

When the number of shirts increases ,The average cost to make a T-shirt approaches is given by

Hence, the average cost approaches to 12 when the number of shirts increases.

Answer:

The vertical asymptote is x = 0

The horizontal asymptote is y = 12

The average cost to make a t-shirt approaches $12 as the number of t-shirts made increases.

Step-by-step explanation:

Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after 7 years?

Answers

Step-by-step explanation:

step 1. Let's call the amount of money A.

step 2. A = A¡e^(rt) (continuously compounding equation)

step 3. A = A¡e^(rt). A¡ = initial amount. r = rate, t = time.

step 4. A = 2200e^((.053)(7)

step 5. A = $3188.20

9.Find the side of a cube whose surface area is 5400cmsquare.

Answers

Answer:

a=square root of a/6 = square root of 5600/6 = 30

i would like to have my brainliest naw, thx

(4x2 – 3x + 2) - (x - 5)(x + 5)+ 6x?

Answers

Answer:

The answer is 3x^2 + 3x + 27

Step-by-step explanation:

Simplify the expression.

hoped this helped!

brainly, please?

What's 4 x 90 divided by 3 x 7?

Answers

Answer:

17.14

Step-by-step explanation:

360/21=17.14

Answer:

(4 × 90) ÷ (3 × 7)

= 360 ÷ 21

= 17.14

Write an equation of a line in slope-intercept form with the given slope and y-intercept.
slope: -4, y-intercept: -1

Answers

Answer:

[tex]y = - 4x - 1[/tex]

Step-by-step explanation:

The standard equation for slope intercept form is

[tex]y = mx + b[/tex]

where m is the slope and b is the y intercept.

plug -4 as m and -1 as the y intercept

[tex]y = - 4x - 1[/tex]

PLS HELP Its somewhat easy math

Answers

a - 20 inches
b - 29 1/4

3x + 2y = 12
-x + 5y = 13
Solve by elimination
Y and x

Answers

Answer:

x = 2 y = 3

Step-by-step explanation:

Find each slope and y-intercept. Then graph each equation.​

Answers

Answer:

1/2= slope

-3= y-intercept

Step-by-step explanation:

According to the formula, y=mx-b:

b= y-interceptm= slope

Marty's class collected $34.00 in a school-wide penny collection contest. If Tommy's class added $3.00 to the amount they
collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class.
2(x + $3.00)= $34.00
How much money did Tommy's class collect?
Ο Α.
$20.00
OB.
$17.00
O C.
$3.00
OD.
$14.00

Answers

Answer:

the answer that you are looking for is D

Step-by-step explanation:

The Tommy's class collect the amount of 14 dollar.

What is the solution for an equation?

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.

We need to find the solutions of the equation 2(x + $3.00)= $34.00 ;

Now solving for x;

2(x + $3.00)= $34.00

Open the bracket;

2x + 6 = 34

Combine the like terms;

2x = 34 - 6

2x = 28

x = 14

Therefore, the equation 2(x + $3.00)= $34.00 has only one solution which is 14.

Learn more about solving equations here:

brainly.com/question/13072448

#SPJ2

Can someone please help me with this

Answers

Answer:

D

Step-by-step explanation:

A has the rate of change of 3

B has the rate of change of 5

C has the rate of change of 9

D has the rate of change of 20

A has a rate of change of 3
B has a rate of change of 5
C has a rate of change of 9
D has a rate of change of 20

Therefore D has the highest rate of change. Hope this helps! :)

What angle relationship best describes angles AFC and DFB?

A) Adjacent angles
B) Complementary angles
C) Linear pairs
D) Vertical angles ​

Answers

Answer:

Vertical Angles

Step-by-step

I believe this is the case because since the angles intercept in order to form also it's the only answer that has to do with intercepting from what we can see from the diagram.

There are different types of relationships between angles including alternate, corresponding, vertical, adjacent, complementary and supplementary angles

The correct option for the relationship that best describes angles AFC and DFB is option D;

D) Vertical angles

The reason the chosen option is correct is as follows;

The given diagram shows line EF perpendicular to line AB and line CD crosses line AB at point F

Therefore, the angles ∠AFC and ∠DFB formed by lines AB and CD with their orientation in the order of their names are opposite to each other and other are known as vertical angles

Learn more about vertical angles here:

https://brainly.com/question/18292462

If c=10\pic=10π, what does 10 represent?

Answers

Answer:

10 is the dimeter of the circle

Step-by-step explanation:

The question seems is:If C = 10π, what does 10 represent?

The circumference of a circle formula is:

C = 2πr or C = πd

10 in the given equation represents the diameter of the circle, d = 10

Solve for p
PLEASE ANSWER FAST

Answers

Answer:

p = 43

Step-by-step explanation:

p + 7 + 3p + 1 = 180

4p + 8 = 180

4p = 172

p = 43

Answer:

yo, i answered this yesterday, but the answer button wasn't available omg

p =43

Step-by-step explanation:

WILL GIVE BRAINILEST

The price of ground beef varies directly with the weight of the ground beef purchased. Two pounds of ground beef cost $10.

What is the cost of 3 pounds of ground beef?

Answers

15, 1 ground beef cost $5
The price of 3 pounds would be $15

THIS IS FOR AN EXAM NEED HELP!!! Directions: Show all your steps as you solve the following problems. Round the solutions to the nearest hundredth if necessary.


7. On a 40‐point test, Steve received an 80%. How many points did he receive on the test?


8. Of the 8760 hours in a year, most televisions are on for 2190 hours. What percent is this?


9. The population of a town increased from 620 to 700. What is the percent of increase?


10. The population of a small town increased 23% from its population in 2000 to its population in 2003.
If the population of the town in 2000 was 25,314, what was its population in 2003?


11. To control his weight, Joel reduced his calorie intake from 2500 calories to 1950 calories each day. What was his percent of decrease for calorie intake?


12. The sales tax in Whittle City is 7%. How much tax is charged on a purchase of $53?


13. What is the simple interest on $2500 invested at an interest rate of 6% for 2 years?


14. Shawn earned a 5% commission on a $500 sale. How much did he earn?


15. Andrew measured the time it took for an apple to fall 50 feet as 1.95 seconds, but his calculations show that it should be 1.77 seconds. What was his experimental error?

Answers

1. 32 points 2. 25% 3. 2,100 4. 22% 5. 56.71 6. $300 7. $25 8. The answer for given problem is -2, but Andrew get -21.6 which is wrong.

Step-by-step explanation: brainliest pls ^^

Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?



The graph represents the system of inequalities .
The test point satisfies both of the inequalities in the system represented by the graph.

Answers

Answer:

Ok so its -3;3

Step-by-step explanation:

Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written
using function notation?
flv -v+
f(x) = - 3x + 4
f(x) = - *x+
f(V) = - 3y + 4

Answers

Answer:

b) y = f(x) = -3x+4

Step-by-step explanation:

Explanation

Given that the equation   9x+3y =12

Let 'x' be an independent variable and 'y' be the dependent variable then the function is of the form

        y = f(x)

      3 y = 12 - 9x

        [tex]y = \frac{-9x+12}{3}[/tex]

      y = -3x+4

The function represented by  y = -3x+4

I WILL GIVE BRAINIEST
Rhiana has a spinner, which is divided into four equal parts. The parts are numbered 1,2,3,4. If rhiana spins the spinner and tosses a coin, which table shows all possible outcomes?

Answers

Answer:

the last one

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Tell how many Solutions y= 3x+ 2 y=-4x+5​

Answers

Answer:

There are 4 solutions

Step-by-step explanation:

Solve it

Salim built a rectangular prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches. Would the prism Natalie built with a length of 3 inches, a width of 4 inches, and a height of 5 inches have the same volume or a different volume than Salim’s prism?

Answers

Answer:

same volume

Step-by-step explanation:

5X4X3=60, 3X4X5=60

Marcos debe pintar 5/9 de la cubierta de un velero. Al acabar el día ha pintado 21/36 . ¿Ha conseguido cumplir su objetivo? ¿Ha pintado más? ¿Ha pintado menos?

Answers

Answer:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

Step-by-step explanation:

Marcos should paint 5/9 of the deck of a sailboat.

At the end of the day he painted 21/36.

Reducing this to the simplest form = 21/36

Dividing Numerator and Denominator by 3

= 7/12

Finding the difference between both fractions

= 7/12 - 5/9

The Lowest Common Denominator = 36

= 21 - 20/36

= 1/36

Therefore:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

Which two statements are true

Answers

Answer:

Only 2nd option is the correct answer.

There is no other correct option given.

Step-by-step explanation:

Hope it helps you in your learning process.

HELP PLEASEE
A baker uses 63 cups of flour and 72 cups of water for a recipe. The flour to water ratio is 63:72 how much water does the baker need if he uses only 7 cups of flour?

Answers

Answer:

8 cups of water

Step-by-step explanation:

63/7=9

72/9=8


[tex]x + 7 < - 2[/tex]
Choose an operation to isolate the variable

Blank. Blank. on both sides
-------- --------
.add. .-7
.subtract. .-2
.multiply by. .2
.divide by. .7​

Answers

First one because when you subtract 7 u keep the var. x alone and isolate it.

Transversal relations

Answers

Answer:

The answer is 75

Step-by-step explanation:

By way of parallelism

[tex]x + 15 = 90 \\ x = 75[/tex]

the answer is 75 for this problem
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