After graduation from college, Justin decided to join a new company. He agreed to a salary which will increase by 3.7% each year and will earn 77,536 for his twelfth year of work.
Part A: To the nearest dollar, what is Justins starting salary?

Answers

Answer 1

Using an exponential function, it is found that Justin's starting salary was of $50,137.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem, we have that r = 0.037 and A(12) = 77536, hence:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]77536 = A(0)(1.037)^{12}[/tex]

[tex]A(0) = \frac{77536}{(1.037)^{12}}[/tex]

A(0) = 50137.

Justin's starting salary was of $50,137.

More can be learned about exponential functions at https://brainly.com/question/25537936


Related Questions

Which function is the inverse of f(x) = -5x -4?

Answers

Answer:

f−1(x)=x5+45

Step-by-step explanation:

Question 1
1 pts
A private parking lot in downtown Philadelphia is being built. It's 120' long by 75' wide. To put a
fence around it, the construction company will need at least 390' of fencing material. True or false?

Answers

We will see that the perimeter of the rectangle is exactly 390 ft, so the statement is true.

Is the fence enough?

For a rectangle of length L and width W, the perimeter is given by:

P = 2*(L + W).

In this case, we know that:

L = 120 ft

W = 75 ft

Replacing that on the perimeter equation we get:

P = 2*(120 ft + 75  ft) = 390 ft

So the perimeter is exactly 390 ft, meaning that to put a fence around the parking lot the company will need at least 390 ft of fence.

So the statement is correct.

If you want to learn more about perimeters, you can read:

https://brainly.com/question/24571594

please help explain how to solve this

Answers

Answer:

C

Step-by-step explanation:

When I input the x value of -2 as shown in the first box of the x&y table the only equation that gave me the correct y was C so I suggest in future problems going in and to input an x value given by the table so that way you can see if it will match up with the corresponding y value

what is 4 1/9 + 8 2/3 as a fraction or as a whole or a mixed number?​

Answers

Answer:

13 7/9

Step-by-step explanation:

You have two mixed numbers right now, so the first step to take would be to add the integers 4 and 8 since those numbers are limited by fractions (1/9 and 2/3 are limited as fractions). This would equal 13, and now you can move on to the fractions 1/9 and 2/3. In order to add those, you will have to find the LCM or the least common multiple, which in this case is 9 since 3 is a multiple of 9 (and 9 is obviously a multiple of 9). Knowing, you would have to convert the 2/3 into something ___/9, which would be 6/9. Adding those two together would result in 7/9. Combine that with the integer 13, and you have 13 7/9. Hope this helps!  

Prove: AB/CD =AC/CD
Check out the other post with this question to understand it fully.

Answers

Answer:

Step-by-step explanation:

Please please help me !
Thank you for the help.
Point and brainliest

Answers

1. no

2. no

3. strong

4. positive

this is what i think is right. lmk which is wrong :)

Use the order of operations to find the value of the expression.

2
+
3
×
16

2
×
21

3
A.
5

B.
14

C.
35

D.
44

Answers

Using the order of operations to find the value of the expression, we have; A. 5

How to carry out order of operations?

We want to use order of operations to solve the problem;

2 + 3 × 16 − 2 × 21 − 3

Now, the order is called BODMAS which means;

Bracket, Of, Division, Multiplication, Addition, Subtraction.

From the order above and looking at our question, we will first carry out multiplication to get;

2 + 48 - 42 - 3

Next is addition to get;

50 - 42 - 3 = 5

Read more about Order of operations at; https://brainly.com/question/16788360

#SPJ2

Nine is 2% of what number?​

Answers

Answer:

450

Step-by-step explanation:

9=1/50 times x

x=450

how many 10 Kobo stamps can I buy with 40 naira​

Answers

Answer:

What is a kobo stemp

Step-by-step explanation:

Ama and Kwame shared an amount of money.
If Ama received one third of the money. Which
fraction is for Ama's share?



Answers

Answer:

2/3
Or two thirds

Explanation:

1-1/3 is 2/3

Please mark brainliest.

How many different ways can the letters of grade be arranged?
( I have to use permutation to solve please and thank you )

Answers

Answer:  120 different ways

Explanation:

Assuming you want to arrange the letters of "grade", then we have 5 unique letters. That gives 5! = 5*4*3*2*1 = 120 different permutations. Order matters. The exclamation mark means factorial. It means we start at 5 and count our way down to 1, multiplying along the way.

In other words, we have 5 choices for the first slot, then 4 choices for the next slot, and so on. We count down because we cannot reuse any previously selected letter.

Alternatively, you can use the nPr permutation formula

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

where n = 5 and r = 5 since we have 5 letters to pick from and 5 slots to fill.

Answer:

120 ways

Step-by-step explanation:

The given word is :

GRADEIt has five letters

⇒ Any of the 5 letters can be in each place

⇒ 5! ways is the number

⇒ 5 x 4 x 3 x 2 x 1

⇒ 20 x 6

120 ways

10. You pay $45.50 for 10 gallons of gasoline and 2 quarts of oil at a gas station. Your friend pays $14.75
for 3 gallons of same gasoline and 1 quart of the same oil. Write and solve the system of equation to find
the price of 1 gallon of gas and 1 quart of oil.
I

Answers

Answer:

0=0 (true)

Step-by-step explanation:

You: 10x+2y=45.50

Friend:

5x+y=22.75

*multiply by 2

10x+2y=45.50

now you subtract both equation...

10x+2y-10x-2y=45.50-45.50

0=0

If 20 articles cost ₹ 90, then the cost of 9 articles is

Answers

Answer:

₹ 40.50

Step-by-step explanation:

Cost of 20 articles = ₹ 90

Cost of 1 article = ₹ 90/20

Cost of 9 article = 9 x 90/20 = ₹ 40.50

ANSWER QUICK WITH THE ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️⭐️!

Answers

your answer would be, B.

HELP!! What is the surface area of this figure?

Answers

Answer:

448 is the answer

Step-by-step explanation:

If u need complete solution do let me know

Answer:

448 yd^2.

Step-by-step explanation:

The surface area consists of 3 rectangles and 2 congruent triangles

= 12*11 + 2 * 10*11 + 2 * 1/2 * 12*8

= 132 + 220 + 96

= 448 yd^2.

Help help help help math math

Answers

Answer:

5

Solution:First, n*7 can be written as 7n.Then, 7*5 is equivalent to 35.So we have7n=35In order to find the value of n, we need to divide both sides by 7:n=5

Hope it helps.

Do comment if you have any query.

5


??? • 7 = 7 • 5

this means you need an equation that equals 7 • 5 = 35 which means if you switch the numbers you could say 5 • 7

Find the distance between the two points in simplest radical form.
(9,-1,) and (3,3)

Answers

Hey there!

The distance will be 7.21 units

Step-by-step explanation:Here,

x1 = 9, x2 = 3

y1 = -1, y2 = 3

By using Distance formula

[tex] \sqrt{ {(x2 - x1) + (y2 - y1)}^{2} } \\ \\ \sqrt{ {(3 - 9)^{2} + (3 - ( - 1))}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + {(4)}^{2} } \\ \\ \sqrt{ 36 + 16 } \\ \\ \sqrt{52} \\ \\ 7.21 \: units[/tex]

Hope it helps

The study of the organization and collection of data is known as A. mathology B. mathematics C. statology D. statistics​

Answers

Answer:

the answer is D

Step-by-step explanation:

Factor the polynomial.

2x^3 + 4x^2 + 8x

A) 2x^3 + 4x^2 + 8x

B) 2x^2(x + 2x + 4)

C) x(2x^2 + 4x + 8)

D) 2x(x^2 + 2x + 4)

Answers

Answer:

D) 2x(x^2 + 2x + 4)

Step-by-step explanation:

[tex] {2x}^{3} + 4 {x}^{2} + 8x \\ \\ 2x( {x}^{2} + 2x + 4)[/tex]

Hope it helps

NO LINKS!!

Mark Wolfman is the director of safety at Waterworld. He needs to order a new wire for the tallest tower in the park. One end of the wire is attached to the top of the tower and the other end is attached to stake in the ground that is 44 feet away from the base of the tower. The wire makes a 78 degree angle with the flat ground. How much wire will he need? ​

Answers

Answer: Approximately 211.628311 feet of wire is needed

==========================================================

Explanation:

Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.

Let x be the length of the wire needed. This is the hypotenuse of the triangle.

Use the cosine ratio to say the following:

cos(angle) = adjacent/hypotenuse

cos(78) = 44/x

x*cos(78) = 44

x = 44/cos(78)

x = 211.628311 feet approximately

Round this value however you need to.

Answer:

211.63 ft (nearest hundredth)

Step-by-step explanation:

**Refer to the attached diagram**

We need to find the hypotenuse of the right triangle.

To do this, we should use the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

[tex]\theta[/tex] is the angleA is the side adjacent to the angleH is the hypotenuse

Given:

[tex]\theta[/tex] = 78°A = 44 ftH = w

Substitute given values into the equation and solve for w:

[tex]\sf \implies cos(78)=\dfrac{44}{w}[/tex]

[tex]\sf \implies w=\dfrac{44}{cos(78)}[/tex]

[tex]\sf \implies w=211.6283112[/tex]

Therefore, the length of wire needed is 211.63 ft (nearest hundredth)

Calculate the perimeter of the following figure.
11 inches
4 inches
3 inches
4 inches
7 inches

Answers

Answer:

29 inches

Step-by-step explanation:

add all the sides

11+4+3+4+7=29

Answer:

29 inches

Step-by-step explanation:

⇒ Perimeter = Sum of the lengths of the sides

⇒ P = 11 + 4 + 3 + 4 + 7

⇒ P = 18 + 11

⇒ P = 29 inches

What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2

Answers

Step-by-step explanation:

the typical line equation :

y = ax + b

with "a" being the slope, and b being the y-intercept (the y value when x = 0).

so, the equation starts

y = 1/2 x + b

to get b we use the given point coordinates :

1 = 1/2 × 4 + b = 2 + b

-1 = b

and the whole equation is

y = 1/2 x - 1

Instructions: Drag the correct term for
this definition.
The perpendicular bisectors of the
sides of a triangle intersect in a
point that is equidistant from the
vertices.

Answers

Answer:

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.

If you can please give brainliest thank you <3

Step-by-step explanation:

I’m really confused… feedback would be appreciated!

Answers

Answer: 13/34

Step-by-step explanation: In total there are 34 people


There are 13 professors and instructors.

That means that there is a 13/34 chance.

The other person who answered is correct


Brenda walked a distance represented by the expression 5(2y + 4). It is 5 times the
distance John walked. Interpret the expression 2y + 4 and identify the correct choice.

Answers

Answer:

Option D

Step-by-step explanation:

Let the distance Brenda walked is B and distance John walked is J.

We have

B = 5J

and

B = 5(2y + 4)

Comparing the two equations we see

J = 2y + 4

It means 2y + 4 is the distance walked by John

Correct answer choice is D

What is the smallest number which is reversed when 2 is added to its double?

Answers

Answer:

We know that to reverse a number, we should swap the numbers in TENS and ONES position. Therefore, the general form of its reverse 'ba' is (10 \times b) + a. Let us try to find the sum of both these numbers. Therefore, the sum of two-digit numbers and their reverse is always a multiple of 11.

Step-by-step explanation:

#carryonlearning

Brainlest me please

I NEED HELP ASAP!!!!!!!!!!!

Answers

Answer: Below

Step-by-step explanation:

Let's start with 12. Going off of basic quadrilateral rules, adjacent angles will be equal to 180. So we make the equation:

8x - 12 + 3x + 5 = 180
Simply.
11x - 7 = 180
11x = 187
x = 17

Since R = P, R = 3(17) + 5 = 56

Now with 14.

We know ABC is both 115 and 4x+6, so:
115 = 4x + 6

109 = 4x
x = 27.25

ADB is 6x - 11, so 6(27.5) - 11 = 152.5

12) 56

14) 152.5

if x+y = -10 and x-y = 2 what is the value of x

Answers

Answer:

x= -4

Step-by-step explanation:

adding the two equations,

x+x+y-y=-10+2

2x= -8

x=-4

A tennis racquet bought for €95 was then sold for €132. Find the profit as a percentage of the cost
price.

Answers

Answer:

38.95%

Step-by-step explanation:

profit%= profit/cost price ×100

37/95×100

0.38×100

profit%=38.95

Please help I'll mark brainliest ​

Answers

Answer:

32

Step-by-step explanation:

Add up all the numbers and then divide by how many numbers there are.

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