Luisa took a job in which her salary can be modeled by the exponential function y = 36,000(1.025)^x, where x is the number of years after she is hired. Damon took a job with a starting salary of $38,500 and yearly raises of $800. Pick EACH correct statement about the scenario.
[] The difference in the starting salaries is $1,600.
[] The difference in the starting salaries is $2,500.
[] The difference in the starting salaries is $2,000.
[] Luisa will make more money in the first 8 years.
[] Damon will make more money in the first 8 years.
[] They will make the same amount of money in the first 8 years.

Answers

Answer 1

Answer:

B and D are the correct answer

Step-by-step explanation:

I took the test

Answer 2

The difference in the starting salaries is $2,500 and Luisa will make more money in the first 8 years thus (B) and (D) are correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

Given salary of Luisa by function,

y = 36,000(1.025)^x

The starting salary of Luisa,

x = 0 → y = 36000(1.025)^0 = $36000

Starting salary Damon = $38500

Difference = 38500 - 36000 = $2500

Amount of money that Luisa make in first 8 years ⇒

36,000(1.025)¹ + 36,000(1.025)² + ...up to 8 times

Amount of money that Damon makes in first 8 years ⇒

38500 + (38500 + 800) + (38500 + 2 × 800) + ...up to 8 times.

The rate of increment of Luisa > Damon

Hence "The difference in the starting salaries is $2,500 and Luisa will make more money in the first 8 years".

For more about the function,

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#SPJ2


Related Questions

Can anyone please help me solve this?

Answers

Answer:

y = 9, x = -2

Step-by-step explanation:

1. (9y+4) and (11y-14) are the same size angle, so you can set them equal to each other:

9y+4=11y-14

2. Solve for y:

4=2y-14

18=2y

9=y

3. (3x+28) and 63 together are opposite to (9y+4) so you can set them equal to each other:

(3x+28)+63=(9y+4)

4. You know that y=9, so plug in 9 for y and solve for x:

3x+28+63=9(9)+4

3x+91=85

3x=-6

x=-2

Please help ASAP thank you

Answers

Answer:

A) a = 25

B) b = 14

Step-by-step explanation:

hopefully this helps :)

Question:-

Solve the following:

[tex] \\ \sf \: a) \: \: \frac{a}{5} + 3 = 8[/tex]

[tex] \\ \sf \: b) \: \: \frac{3b}{7} - 1 = 5[/tex]

Solution:-

Solving question a) :

[tex] \\ \sf \frac{a}{5 } + 3 = 8[/tex]

[tex] \\ \sf \mapsto \frac{a + 15}{5} = 8[/tex]

[tex] \\ \sf \mapsto \: a + 15 = 8 \times 5[/tex]

[tex] \\ \sf \mapsto \: a = 40 - 15[/tex]

[tex] \\ \sf \mapsto \: a = 25[/tex]

[tex] \\ \sf \therefore \: a = 25[/tex]

Solving question b) :

[tex] \\ \sf \frac{3b}{7} - 1 = 5[/tex]

[tex] \\ \sf \mapsto \: \frac{3b - 7}{7} = 5 [/tex]

[tex] \\ \sf \mapsto3b - 7 = 5 \times 7[/tex]

[tex] \\ \sf \mapsto3b = 35 + 7[/tex]

[tex] \\ \sf \mapsto \: b = \frac{42}{3} [/tex]

[tex] \\ \sf \mapsto \: b = 14[/tex]

[tex] \\ \sf \therefore \: b = 14[/tex]

Answer:-

a = 25

b = 14

What's the length of an arc with a central angle of 120° and a radius of 5 inches?
1) 10
43
inches
2) 10
inches
2
3) 10
inches
4) Sinches

Answers

Answer:

 10/3π ≈ 10.47

Step-by-step explanation:

Length of an arc = central angle/°in a circle · the formula for circumference of the circle.

Length of an arc = 120/360 · 2πr

Length of an arc = 1/3 · (2·π·5)

Length of an arc = 1/3 ·10π

Length of an arc = 10/3π ≈ 10.47

How many feet are in Y yards?
Make an expression.​

Answers

Answer:

The conversion factor from yards to feet is one yard equals three feet.

Category of conversion: Length: The SI standard unit for length is the meter. meter (m)

Step-by-step explanation:

Answer:

Sorry what is y yards don't get you

Use the distributive property to expand
+6+3x)
Which is an equivalent expression?
09.12
03-12
o

Answers

Answer:

(D) 8/5 - 12x

Step-by-step explanation:

-4*(-2/5 + 3x) = -4*(-2/5) - 4*(3x) = 8/5 - 12x

Correct choice is D

Answer:

D. 8/5-12x

Step-by-step explanation:

-4(-2/5+3x)(-4 × -2/5) + (-4 × 3x)( 8/5 )+ (-12x)8/5 - 12x

Option D is the correct answer.

Please help!!!!!!!!??????????!!!!

Answers

A. They began the Trail of Tears

please help asap!!!!!!!!​

Answers

Answer:

70

Step-by-step explanation:

Exterior angle is the sum of the non-adjacent interior angles:

u - 25 + u - 26 = u + 192u - 51 = u + 192u - u = 19 + 51u = 70

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of u is :

[tex]70 \degree[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

As we known, measure of an exterior Angle is equal to sum of two non Adjacent interior angles, that is ~

[tex]u - 25 + u - 26 = u + 19[/tex]

[tex]2u - 51 = u + 19[/tex]

[tex]2u - u = 19 + 51[/tex]

[tex]u = 70 \degree[/tex]

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

6. James Farber drives 498 miles in
11 hours. The total length of
his trip is 826 miles. How much
farther does he have to drive?

Answers

Answer:

328

Step-by-step explanation:

The question says how much farther so you take the total distance minus what he has traveled.

I honsetly don't even know.

Answers

Step-by-step explanation:

the correct answer is B. [-5, -3]

for x = -5 => f(-5) = 2(-5)²-5

= 50-5

= 45

for x = -3 => f(-3) = 2(-3)² -5

= 18-5

= 13

the change = 45-13 = 32

(this is the greatest)

[-5,-3]

Let's verify

f(-5)

2(-5)²-52(25)-545

f(-3)

2(-3)²-52(9)-518-513

Rate of change

f(-5)-f(-3)/-5-345-13/-8-4

Simplify the following completely

Answers

Answer:

A= 360 and B=2 .

Step-by-step explanation:

because the deniminator (bottom) is 4 you have to simplify it down to 2, because that's the lowest you can go. 720/2 is 360 (2 is the lowest that it can go) and 4/2 is 2

Two cards are drawn at random from an ordinary deck of 53 cards determine if the probability that both cards are diamonds if the first card is replaced before the second Drawn is

Answers

There are only 52 cards in a deck to begin with so not 53. There are 13 of each card. Meaning a 1 in 4 shot the first time and then 1 in 4 for you second try. Multiple you denominators and you get 4x4 = 16. You have a one in 16 chance of 2 diamond cards in a row or 6.25% chance

Is y=3^2-x+5 linear on non linear

Answers

It is a linear function. If you simplify the equation further:

y = 3^2 - x + 5
y = 9 - x + 5
y = -x + 14 (this is the slope-intercept form, y = mx + b).

Also, the highest degree term is 1, making it linear (the 3^2 is a constant).

Please mark my answers as the Brainliest if you find my explanation helpful :)

Can you y’all help me with this. i need to know what is the domain and range from this graph. i’m kinda confused for this

Answers

Answer:

The answer is below:

Step-by-step explanation:

The range is everything under and including 6 as we see that it will forever go to numbers under or equal to 6.

The range is all real because the lines will keep on going to infinity and negative infinity

Domain: All Real

Range: y is greater than or equal to 6

Consider marking this as brainliest! It helps a lot!

-3+(-6) is ___ units from -3 in the positive or negative direction.

Answers

Answer:

-3+(-6) = -9

Step-by-step explanation:

a negative 3 plus another negative 6 is a negative 9. Is just like if you borrow $3 from your friend and borrow $9 from another friend. That means you own two of your friends a total of $9. This can be mathematically illustrate as: -3 + (-6)= -9

The perimeter of this rectangle is 20cm, what’s the missing side?

Answers

Answer:4 cm

Step-by-step explanation:

Formula for perimeter of a rectangle: P = 2(l+w)

20 = 2(6+w)

20 = 12+2w

divide by 2

10 = 6 + w

10-6 = w

4 = w

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

Answer:

9,7,5,3,1 is the correct fx in the table

Answer: (I trust you can graph the points)

{(6,9), (7, 7), (8, 5), (9, 3), (10, 1)}

Step-by-step explanation:

-2x+21

x=6 -12+21 = 9

x=7 -14+21 =7

x=8 -16+21 = 5

x=9 -18+21=3

x=10 -20+21=1

solve pls brainliest

Answers

the answer is 3 and 2/5

Please help with geometry homework, i am not sure.

Answers

Answer:

option C is correct

place the compass at point F and draw another large arc.

hope this answer helps you dear!

What is the distance from City B to City D?




A. 12 km
B. 17 km
C. 35 km
D. 47 km

Answers

Answer:

35km please follow me broo

Answer:

it answer C!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

i got it right.

So uh, this assignment is really confusing to me, can someone please help me with this

Answers

Step-by-step explanation:

1) The equilibrium price is the price where the quantity demanded (Qd) equals the quantity supplied (Qs).  If you look at your table, at the price of $3, the quantity demanded of 60 is equal to quantity supplied (Qs) of 60.  

Equilibrium (E): Qd = QsEquilibrium quantity = 60Equilibrium price (E) = $3

2) At the market price of $2, the quantity demanded (Qd) of 80 is greater than the quantity supplied (Qs) of 35. This represents a shortage, where Qd > Qs. Shortages occur only at prices below the equilibrium price. This implies that there isn't sufficient supply of yo-yos to keep up with the demand.  

Shortage = Qd - Qs = 80 - 35 = 45.

3) If the price is $2, the price will tend to increase due to an existing shortage. Some buyers will bid up the price of a good to get sellers to sell to them instead of to other buyers. Some sellers will realize that they can raise the price of the goods they have for sale. Higher prices will call forth added output. Price and output rise until equilibrium is achieved.

4. If the price  in the market is $5, then there is a surplus of yo-yos because the quantity demanded (Qd) of 20 is lesser than the quantity supplied (Qs) 110 (or, you could also express it as the quantity supplied of 110 is greater than the quantity demanded of 20).  Surpluses occur only at prices above the equilibrium price.

Surplus = Qs - Qd = 110 - 20 = 90.

5. If the price is $5, it will eventually decrease over time. Due to surplus, sellers’ inventories rise above the level the sellers hold in preparation for changes in demand. Sellers will want to reduce their inventories. As a result, price and output fall until equilibrium is achieved.

Please mark my answers as the Brainliest, if you find this helpful :)

Can somebody help me as soon as possible if can

Answers

Answer:

D

Step-by-step explanation:

The mass of the proton has an exponential of -27 and the electron has -31.

Negative 27 is larger than negative 31 so you know the proton is larger than the electron in mass.

9.1 divided by 1.7 is approiximately 5.

Those exponents are 4 digits apart.  31 - 27 = 4 so there are 4 zeroes added onto the 5.

So the proton is about 50,000 times bigger than the electron in mass.

Question 7 (1 point)
Which graph represents the solution to 5 + 8x < 3(2x + 4),
A.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10
B.
-10 -9 -8 -7 -6 -5
-4 -3
-2 -1
0
1
2
3
4
5
6
7
8
9 10
C.
+ + +
-10-9-8-7 -6 -5
-4 3 2 1
+
2
0
0-
3 4
1
5
6
7
8
9 10
D.
-10
9 -8 -7 -6
-5
0+
3 4
4
-3 -2 -1
+
5
0
+
6
+
7
1
2
8 9 10
А
B
O a
Ob
oc
Od
С
D

Answers

Answer:

D is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 95 miles per hour. The westbound train travels at 115 miles per hour. How long will it take for the two trains to be 546 miles apart?

Do not do any rounding.

Answers

Answer:

2 hours and 36 minutes

Step-by-step explanation:

First you calculate the sum of the speeds:

115 + 95 = 210, It means every hour they get 210 miles apart.

Now the question wants the time of 546 miles apart.

You need to divide 546 to 210.

[tex]\frac{546}{210}=2.6[/tex], It gives us 2.6 hours.

2 hours + 0.6 hour.

2 hours + 0.6 × 60 minutes = 2 hours + 36 minutes

I hope it helps you. Please choose my answer as the BRAINLIEST.

PLEASE HELP
will mark brainliest

Answers

Answer:

5 is the answerrrrrr

Step-by-step explanation:

Hope this help's

also looking for friend's help me out!!

In writing an equation of a line, keep in mind that you ALWAYS need the following information in order to establish the linear equation:
1. 2 ordered pairs (x,y) on the line
2. Slope (m)

Once you have these two pieces of information, you plug the x and y values from your point and the slope (m) value into the slope-intercept form, y = mx + b.

Select 2 ordered pairs from your table, and substitute those into the slope formula.

Let (x1, y1) = (2, 10)
(x2, y2) = (3, 15)

m = (y2 - y1)/(x2 - x1)
m = (15 — 10)/(3 — 2)
m = 5/1 = 5

Therefore, the slope (m) = 1.

Next, we need to find the value of the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

To solve for the y-intercept, we could use one of the given ordered pairs from the table and the slope. We’ll substitute these values into the slope-intercept form:

We’ll use (2, 10) as values for x and y.

y = mx + b
10 = 5(2) + b
10 = 10 + b
Subtract 10 from both sides to solve for b:

10 - 10 = 10 - 10 + b
0 = b

Therefore, the y-intercept is 0.

Now that we have our slope (m = 5), and y-intercept (b = 0), the linear equation is:

y = 5x + 0 or y = 5x

Please mark my answers as the Brainliest if you find my explanations helpful :)

A jar has 4 red marbles 7 blue marbles and 8 yellow marbles what is the probability of randomly selecting a marble and getting a blue marble?

Please help!!!!

Answers

Answer:  7/19

Explanation:

There are 7 blue marbles out of 4+7+8 = 11+8 = 19 total

The probability of selecting blue is therefore 7/19

We cannot reduce 7/19 any further because 7 and 19 have no common factors other than 1.

All four cities have the same digit in one place.what is the place? Write the value of the digit

Answers

good luck

you can do it

i believe

Pls help I’ll brainlest ASAP

Answers

Answer:

time is indepent and patrick and spongebod is depent

Step-by-step explanation:

hopes it help

An estimate of 14 divided by 2 1/9

Answers

7.11

………………………hope this helps

Find the slope of the line containing the pair of points. ​(​7,​4) and ​(6​,-9​)

Answers

Answer:

13

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( -9-4)/(6-7)

   = -13/-1

  = 13

convert 40in to feet

Answers

Answer:

3.33333

Step-by-step explanation:

divide the length value by 12

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