The profit for a company this year was $100,000. Each year the profit increases at a rate of 1.2% per
year. Which function shows the company's profit as a function of time in years?
a. f(t) = 100,000 0.012^t
b. f(t) = 100,000(1 + 1.2)^t
c. f(t) = 100,000(1 + 0.012)^t
d. f(t) = 100,000 - 1.2^t

Answers

Answer 1

Given:

Initial profit = $100,000

Increasing rate of profit = 1.2%

To find:

The function that shows the company's profit as a function of time in years.

Solution:

The exponential growth model is defined as:

[tex]f(t)=a(1+r)^t[/tex]

Where, a is the initial value, b is the growth rate and t is the time period.

Putting a=100,000 and r=0.012, we get

[tex]f(t)=100,000(1+0.012)^t[/tex]

Where, t is the number of years.

Therefore, the correct option is c.


Related Questions

pls answer this-.....​

Answers

AnswerS:

Let A be the surface area, b the base, h the height;

h₁=8.4 cm

h₂=7.8 cm

b= 9 cm

A= 3(1/2bh₁)+1/2 bh₂

A=3(1/2(9)(8.4))+1/2 (9)(7.8)

A= 148.5 cm³

Answer:

Step-by-step explanation:

The figure given above is a square pyramid, having a square base and 4 triangular faces on the sides that are of the same dimensions.

Surface area of the square pyramid is given as:  

Where,

B.A = Base Area of the pyramid = 9*9 = 81 in²

P = perimeter of the base = 4(9) = 36 in

L = slant height of pyramid = 9.2 in

Plug in the values into the given formula to find the surface are

The period of y = sinx/4 is

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{4} =2 \pi\\x=2 \pi \times 4=8 \pi[/tex]

How do you find the slope to (3,12),(3,-17)

Answers

Answer:

you plot them together

1. draw a t shape and then plot it like x then y

Answer:

trust your instincts

Step-by-step explanation:

decide on your own destiny i can not interfeir

What value would make the equation 8x = -72 true?

Answers

Answer:x= -9

Step-by-step explanation: You would dive both sides by 8 and -72 divided by 8 is -9

Answer:-9

Step-by-step explanation:

The answer is -9 because we are solving to get x by itself. Since 8 is being multiplied by x the opposite of multiplication is division. Divide both sides by 8 to get x by itself. -72 divided by 8 is -9 because a negative divided or multiplied by a positive is a negative. To check your work you can do 8 times -9 which equals -72.

P(8,-3) T(x,y) = (x-4, y+7)
P'(?,?)

Answers

Answer:

P'(4,4)

Step-by-step explanation:

P(8,-3) T(x,y) = (x-4, y+7)

P'(8-4,-3+7)=P'(4,4)

Tims piggy bank contains nickels and quarters worth $6.70. He has 62 coins in all. How many of each coin does Tim have?

Answers

Answer:

well you see it really

Step-by-step explanation:

Find the like terms in the following.​

Answers

Answer:

1 is the like term in a series as there is nothing common

.sorry if mistake.

like terms =

2x,-6x,

5y²,-9x²,18y²

BRAINLIEST STARS

Find the area of the circle if r = 5 meters. Leave the answer in terms of pi.
A) A=100pi square meters
B) A=25pi square meters
C) A= 5pi square meters
D) A=10pi square meters

Answers

Answer:

B: A=25pi square meters

Step-by-step explanation:

Answer: 25pi square meters

HELP PLEASE How do you simplify this expression? (Pls list steps)
-12 ÷ 3 • (-8+(-4)^2 - 6) ÷ 2

Answers

The answer is 4

steps listed above

what is an equivalence class?

Answers

This article is about equivalency in mathematics. For equivalency in music, see equivalence class (music).

Congruence is an example of an equivalence relation. The leftmost two triangles are congruent, while the third and fourth triangles are not congruent to any other triangle shown here. Thus, the first two triangles are in the same equivalence class, while the third and fourth triangles are each in their own equivalence class.

In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.

                              The information is from https://en.wikipedia.org/wiki/Equivalence_class

                         If it is wrong I am sorry

nequalities in Non Standard Form
Question 1 of 10
Solve the inequality and enter your solution as an inequality comparing the
variable to the solution
-19> x-26
Answer here

Answers

Answer:

x < 31 I think

2. Write the equation of the line parallel to y = -4x/3 + 5 thru (-6,1). Show all work.​

Answers

Answer:

[tex]\boxed {\boxed {\sf y= - \frac{4}{3} x -7}}[/tex]

Step-by-step explanation:

We can find the equation using the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where (x₁, y₁) is the point and m is the slope.

We already know the point is (-6,1). We must find the slope.

We are told the line is parallel to y=-4x/3 +5. Since this line is in y=mx+b form, the slope (m) must be -4/3. Parallel lines have equal slopes, so the line we are finding also has a slope of -4/3

Next, define values for the variables.

[tex]x_1= -6 \\y_1= 1\\m= - \frac{4}{3}[/tex]

Substitute the values into the formula.

[tex]y-1= - \frac{4}{3} (x--6)[/tex]

[tex]y-1= - \frac{4}{3} (x+6)[/tex]

Now put the equation into the form y=mx+b. First, distribute the -4/3 .

[tex]y-1= - \frac{4}{3} *x+ - \frac {4}{3}*6[/tex]

[tex]y-1= - \frac{4}{3} x - 8[/tex]

Add 1 to both sides to isolate y.

[tex]y-1+1= - \frac{4}{3} x - 8+1[/tex]

[tex]y= - \frac{4}{3} x -7[/tex]

The equation of the line is y=-4/3x -7

Find the RANGE for the function f(x) = -4x - 9 if D = {1/2 ,0}

Answers

Answer:

-11, and -9 is the range for 1/2 and 0 respectively

Step-by-step explanation:

4
Which of the following is a function?
А
B
C
D

Answers

Answer:

B)

Step-by-step explanation:

A function is when every input has one output.

Easiest way is to do the "vertical line test" and "horizonal line test."

Basically you draw a vertical line and a horizontal line.

If either line passes through more than one point, then it is not a function.

The only one that passes them is B, the line.

Answer:

B

Step-by-step explanation:

A function is when every input has one output.

Easiest way is to do the "vertical line test" and "horizonal line test."

Basically you draw a vertical line and a horizontal line.

If either line passes through more than one point, then it is not a function.

The only one that passes them is B, the line.

James had a large bag of raisins. He ate
3/4


of it. Then, he shared the rest of the raisins with 2 friends and himself (3 people in total). What portion of the whole bag of raisins did each of his friends get? Choose the numbers to complete the fraction?

Choose...



Choose...
PLEASE HELP ASAP

Answers

Answer:

1/12

Step-by-step explanation:

3/4=9/12

12/12-9/12=3/12

(3/12)/3=1/12

Answer:

The friend both get 1/12

Step-by-step explanation:

Hope this helps!

Help plsssss!!!!!!!!!!!!!

Answers

Answer:

Percent, Part, whole, I am not sure the rest hope this helped though

Step-by-step explanation:

Answer:

15% is the percent, 9$ is the part and the original price is the whole

the original price is 60$ and the coustomer buys it for 51$

f(x) = 4x - 9 step by step and put the right anwser so I can read it

Answers

f = -5f(x) = 4x - 9Add 9 to both sidesf(x) + 9 = 4xDivide x from both sidesf + 9 = 4Subtract 9 from both sidesf = -5Please let me know if I am wrong.

f(x)=2x + 2
g(x)= x – 5
Find f(x) + g(x)

I need help understanding how to do a problem like this
Thank you

Answers

Answer:

3x - 3

Step-by-step explanation:

f(x) + g(x)

(2x + 2) + (x - 5)

3x - 3

13 in
10 in.
7 in
3. What is the perimeter of the
(19)
trapezoid?

Answers

37 because you add 13+10=23 7+7=14 and 23+14=37

What is the slope-intercept equation for the line below?
5
(4,3)
(0, 1)
5
O A. y=2x+1
B. y=-3x+1
O C. y=-2x+1
O D. y = 2x+1

Answers

Answer:

is there a pic you could provide?

Step-by-step explanation:

The slope-intercept equation for the line is,

⇒ y = 1/2x + 1

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 3) and (0, 1).

Now,

Since, The equation of line passes through the points (4, 3) and (0, 1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 3) / (0 - 4)

m = - 2 / - 4

m = 1/2

Thus, The equation of line with slope 1/2 is,

⇒ y - 3 = 1/2 (x - 4)

⇒ y - 3 = 1/2x -2

⇒ y = 1/2x + 1

Therefore, The slope-intercept equation for the line is,

⇒ y = 1/2x + 1

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

How do you simplify 1 1/3

Answers

Answer:

4/3

Step-by-step explanation:

Help please
look picture and match

Answers

Answer:

Rectangle= Choice four

Square= Choice three

Trapezoid= Choice one

Parallelogram= Choice two

Rhombus= Choice five

-----------------------------------------------------

I think these are the correct answers. Hope this helps!

8 1/16-5 1/2 I need help with this.pls

Answers

Step-by-step explanation:

I hope this helps. Ans:41/16 alternate form: 2 9/16, 2.5625

12(-5z - 4)
please help me

Answers

Answer:

-60z - 48

Step-by-step explanation:

Is your expression.

Need help ASAP !!!
Solve for u

Answers

Answer:

3.46 or ..

[tex] 2\sqrt{3} [/tex]

Step-by-step explanation:

because you use sin(60) = 3/u

-4x=16 what is x in the equation

Answers

Answer: x=-4

Step-by-step explanation:

-4x=16

Divide by -4 on each side to cancel it out

x=-4

Help ASAP ASAP

Help asappp

Answers

Answer:

-3.9

Step-by-step explanation:

y/0.3 - 1.4= -14.4
•0.3. •0.3
y-1.4= -4.32
+1.4= +1.4
y= -2.92

6.833 + 3.594 + 1.369 nearest whole number

Answers

Answer:

12

Step-by-step explanation:

You add 6.833 + 3.594 + 1.369, which equals 11.796, and then you round up to 12.

Answer:

12

Step-by-step explanation:

1 1

6.833

3.594

+1.369

11.796

round the whole number to get 12

Pls help me with this problem. Also the answer has to be in terms of pi

Answers

Answer: 25pi
Explanation: area = piR^2 so 10(radius)^2 = 100pi, only 1/4 of the circle is there so divide the area found (100pi) by 4 to find the one quarter of the circle.

Mario has 6 more marbles than Sandra. Let `s` represent the number of marbles that Sandra has. Write an expression that represents the number of marbles that Mario has.

Answers

Answer:

6+s

Step-by-step explanation:

six more marbles so add 6 to s

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