When Sharon graduates from college, she accepts a job that pays $30,000 for the
first year with a promise of a 10% raise at the beginning of each of the next 9 years.
Samantha graduates the same year and accepts a job which pays $40,000 the first
year with a raise of $1,000 at the beginning of the next 9 years.
а
In which year will Sharon's annual salary first exceed Samantha

Answers

Answer 1

Answer:

year 6

Step-by-step explanation:

she will be at 48,000

the other girl will be at 46,000

Answer 2

The year in which the salary Sharon's first exceeds Samantha's salary if,  is the 5th year Sharon graduates from college, she accepts a job that pays $30,000 for the is 5 years.

What is percentage?

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

Sharon's pay = $30000,

Raise percentage = 10%,

Samantha pays = $40000,

Raise by  = $1000,

Calculate Sharon's pay as shown below,

Sharon's pay  = 30000(1 + 0.10)⁴

Sharon's pay  = 30000 × 1.77

Sharon's pay  = $43923

Calculate pay of Samantha after 4 years,

The pay of Samantha = 40000 + 4 × 1000

The pay of Samantha = $44000

Thus, Sharon's annual salary first exceeds Samantha's after 4 years.

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Related Questions

somone plz help me will make brainlest if is right

Answers

9514 1404 393

Answer:

  y = 1/5

Step-by-step explanation:

Divide both sides of the equation by the coefficient of the variable.

  7 = 35y

  7/35 = (35y/35)

  1/5 = 1y

  y = 1/5

_____

A number divided by itself is 1. A number multiplied by 1 is unchanged.

To get from 35y to 1y, or y, divide by 35. That gives you (35/35)y = 1y = y.

Whatever you do to one side of the equation must also be done to the other side. Dividing 7 by 35 gives 7/35 = (7/7)×(1/5) = 1/5.

5. What number is in the ones place of a product of 10 and
another number? Explain.

Answers

0 because the 1 is in the tens place and the 0 is in the ones place It’s always going to be on the right if it isn’t a decimal

A product of 10 has a number in one's position, and another figure will be 0.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The one number is 10.

And let the other number of two digits will be xy.

Then the product of 10 and another number will be

10 × xy = xy0

The number at ones place when the product of 10 and another number will be 0.

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*This problem is all about Multiplication Comparison*

How long is Pine Street?

Answers

Answer:

7

Step-by-step explanation:

Pine Street in x miles long.

Maple street is 3 times as long as Pine Street, so Maple street is 3x miles long.

Maple street is 21 miles long.

3x = 21

x = 7

Maple Street is 7 miles long.

I will mark brainliest for the right answer with a description that helps me on how to actually solve this please

Answers

Answer:

$126

Step-by-step explanation:

I divided the figure in 3 parts, 1 triangle and 2 rectangles

found the area of each figure and added all to find the total area

need help with this please

Answers

Answer: plug 32 in for m

Step-by-step explanation:

Find the area and perimeter.
5.6 cm

Answers

Answer:

31.36cm;22.4cm

Step-by-step explanation:

hope this helps

Answer:

Answer: 31.36 cm² ; 22.4 cm

Area:

[tex]{ \rm{area = (side \times side)}} \\ { \rm{area = (5.6 \times 5.6)}} \\{ \underline{ \underline { \rm{ \: \: area = 31.36 \: {cm}^{2} \: \: }}}}[/tex]

Perimeter:

[tex]{ \rm{perimeter = (4 \times side)}} \\ { \rm{perimeter = (4 \times 5.6)}} \\ { \underline{ \underline{ \rm{ \: \: perimeter = 22.4 \: cm \: \: }}}}[/tex]

In the function y-1 = (4x)² + 7, what effect does the number 4 have on
the graph, as compared to the graph of y = x^2?
A. It stretches the graph vertically by a factor of 4.
B. It shrinks the graph vertically to 1/4 the original height.
C. It stretches the graph horizontally by a factor of 4.
D. It shrinks the graph horizontally to 1/4 the original width.

Answers

Answer:

D. It shrinks the graph horizontally to 1/4 the original width.

Step-by-step explanation:

f(px): |p|>1 horizontal compression   (x,y) -> (x/p , y)

Can someone please help me evaluate and show all your work please and thanks

Answers

Answer:

4

Step-by-step explanation:

-4/(k+7)

For k=-8

-4/(-8+7)

-4/-1

4

what number has the prime factorization 2 6th * 5 6th show your work

Answers

The steps for calculating the prime factors of a number is similar to the process of finding the factors of any number.
Start dividing the number by the smallest prime number i.e., 2, followed by 3, 5, and so on to find the smallest prime factor of the number.
Again, divide the quotient by the smallest prime number

How to find the square root in long division method for 5.4289

Answers

The Square root of 5.4289 is 2.33

(explanation attached)

will mark as brainliest
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros of -1, 2, and -3i. Show all work.

Answers

the answer is -1 2 i think that is the answer

Solve 2 s^3 − 4r^ 2 if r = 1 and s = 5 . step by step

Answers

Answer:

246

Step-by-step explanation:

2(5)^3 - 4(1)^2

250 - 4

246

Miya plans to visit her sister over the summer. On a map, her house is 2 inches from her sister’s house. If the map uses a scale of 1 inch = 18 miles, how many total actual miles would Miya travel on her trip to and back from her sister’s house?

HELP FAST HELP FAST THIS IS DUE

Answers

Answer:

72 miles

Step-by-step explanation:

18x2x2

-3x-2=13
please show steps on how to do

Answers

Answer:

x=-5

Step-by-step explanation:

-5*-3=15

15-2=13

Hope it helps

Answer:

x = -5

Step-by-step explanation:

-3x-2=13

Add 2 to both sides of the equation

-3x-2+2=13+2

Simplify

-3x=15

Divide both sides of the equation by the same term

[tex]\frac{-3x}{3} =\frac{15}{-3}[/tex]

Simplify

x = -5

PLEASE ANSWER ASAP‼
4-5c for C= -1/2

Answers

4-2.5=1.5 Thus, the answer is 1.5

Write 41 and 4 as a mixed number

Answers

Answer:

10 and 1 fourth

Step-by-step explanation:

41 over 4 = 41/4 so you divide 41 by 4 which is 10 R1 so its 10 wholes, 1 and 4

A line is drawn so that it passes through the points (-5,0) and (12,7). What is the slope of the line?

Answers

Slope = 7/17. Please give me brainliest if you found this helpful :)

Answer:

7/17

Step-by-step explanation:

Shaniqua is taking a test. After 20 minutes she has 35 questions left. After 40 minutes she has 15 questions left. If Shaniqua takes the same amount of time for each question how many questions are on the test

Answers

There were 55 questions in the test.

Answer:

55

Step-by-step explanation:

The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour. If
the depth after 6 hours of draining is 8 feet then write an equation for the water depth, d, as a function of the
amount of time it's been draining, t, in hours.

Answers

Answer:

1.75 * 6 = 10.5 - 8 = 2.5 / 1.75 = 1.43 * 5.5 = about 5hrs and 30mins

Step-by-step explanation:

pick
a
b
c
d .........................................................

Answers

Answer:

B

Step-by-step explanation:

Im pretty sure it's B  X is going by 4's 4,8,12 then y is going by 12

Determine what comes next in the given pattern 41,39,37,35,33​

Answers

Answer:

31

Step-by-step explanation:

you're just subtracting by two's as the pattern goes on.

In the given pattern 41,39,37,35,33​,the next number in the pattern is 31. To determine what comes next in the given pattern,let's observe the sequence:

41, 39, 37, 35, 33

The pattern is a decreasing sequence where each number is subtracted by 2 to get the next number.

So, to find the next number, subtract 2 from the last number in the sequence: 33 - 2 = 31

The next number in the pattern is 31.

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Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y) --> (x - 3, y + 4) to move points on the screen. ( Look at the picture to answer options A,B,C and show your work. If correct I'll Mark Brainliest. ​

Answers

Answer:

your answer is c

Step-by-step explanation:

Write the slope-intercept equation of the line passing through (4,6) and (0,-8).

Answer:​

Answers

Answer:

[tex]y=\frac{7}{2} x -8[/tex]

Step-by-step explanation:

We are given that a line contains these 2 points: (4,6) and (0,-8), in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept

First, we need to find the slope of the line

The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Even though we have 2 points, let's label their values to avoid any confusion and mistakes when calculating:

[tex]x_1=4\\y_1=6\\x_2=0\\y_2=-8[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-8-6}{0-4}[/tex]

Subtract

m=[tex]\frac{-14}{-4}[/tex]

Divide

m=[tex]\frac{7}{2}[/tex]

The slope is 7/2

Here is the equation of the line so far:

[tex]y=\frac{7}{2}x + b[/tex]

We now need to find b

As the equation passes through (4,6) and (0,-8), we can use either one of them to help solve for b.

Taking (4,6) for instance:

[tex]6=\frac{7}{2}(4) + b[/tex]

Multiply

[tex]6=14 + b[/tex]

Subtract

-8 = b

The equation therefore is:

[tex]y=\frac{7}{2} x -8[/tex]

Topic: slope-intercept form

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WILL MARK BRAINLIEST Select the correct answer.
What is the slope of the line in this graph?
y 10
9
8
00
17
6
5
5
w
3
-2
N
X
1
2
3
5
ch
6
7
7
GO
9
10
ОА.
OB &
C.
9
OD

Answers

Hope this helps you !! :)

The solution is, the slope of the line in the graph is 5/7.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

from the given graph, we get,

the line is passing through the points ( 0,0) and, (5,7).

now, we know that

slope of a line is,

m = x1 - x2 / y1 - y2

so, we have,

here,

Slope(m) = 5-0/7-0

               = 5/7

Hence, The solution is, the slope of the line in the graph is 5/7.

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A principal of $2400 is invested at 7.25% Interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

Step-by-step explanation:

70000

need help with #10 please

Answers

Answer:

Domain = (infinity, infinity) Range = (3,0)

Step-by-step explanation:

Hard to explain without giving a 15 minute lecture lol

Write an equation of the line perpendicular to the given line that contains P.
P(5,-3); y=1/3x+4

Answers

Answer:

P(y,x)=P

y = 1/3x + 4

Step-by-step explanation:

17 - (-25) =
I need help

Answers

17 - (-25)
Negatives cancel each other
=17+25
Answer is 42

Answer:

42

Step-by-step explanation:

rewrite by changing subtraction sign to addition and the following number to opposite

- always involves two sign changes

have a good day

Which of the following is an arithmetic sequence?

A. -2, -4, -8, -32...
B. 0, 5, 11, 24...
C. 1, -3, 9, -27, 81...
D. 0, 6, 12, 18, 24...​

Answers

Answer:

The answer is letter D 0,6,12,18,24

Step-by-step explanation:

hope it's can help

A 26 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 10 ft from the wall and sliding away from the wall at the rate of 3 ft/sec?

Answers

Answer:

The top of the ladder is sliding down at a rate of -1.25 ft/s.

Step-by-step explanation:

From the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2[/tex]

(Where a is the height, b is the distance between the bottom of the ladder and the wall, and c is the length of the ladder itself.)

Note that the hypotenuse c is a constant value at 26 feet. Substitute:

[tex]\displaystyle a^2 + b^2 = (26\text{ ft})^2 = 676 \text{ ft}^2[/tex]

We want to determine how fast the top of the ladder is sliding down the wall at the instant of time when the bottom of the ladder is 10 feet from the wall and sliding away from the wall at the rate of 3 ft/s.

In other words, we want to find da/dt given that b = 10 ft, and db/dt = 3 ft/s.

First, we can differentiate both sides with respect to t, where a and b are both functions of t:

[tex]\displaystyle \frac{d}{dt}\left[ a^2 + b^2\right ] = \frac{d}{dt}\left [ 676 \text{ feet}^2\right ][/tex]

Implicit differentiation yields:

[tex]\displaystyle 2a \frac{da}{dt} + 2b \frac{db}{dt} = 0[/tex]

Next, since we know that b = 10 ft, we can find a:

[tex]\displaystyle \begin{aligned} a^2 + b^2 & = 676\text{ ft}^2 \\ \\ a^2 +(10 \text{ ft})^2 & = 676\text{ ft}^2 \\ \\ a & = 24\text{ ft} \end{aligned}[/tex]

Substitute and solve for da/dt:

[tex]\displaystyle \begin{aligned} 2a \frac{da}{dt} + 2b\frac{db}{dt} & = 0 \\ \\ 2(24 \text{ ft}) \frac{da}{dt} + 2(10 \text{ ft})(3 \text{ ft/s}) & = 0 \\ \\ 48 \text{ ft} \cdot \frac{da}{dt} & = -60 \text{ ft$^2$/s} \\ \\ \frac{da}{dt} & = -1.25 \text{ ft/s} \end{aligned}[/tex]

Since the ladder is sliding down the wall, da/dt is expected to be negative.

In conclusion, the top of the ladder is sliding down at a rate of -1.25 ft/s.

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