Enter the exponential function using t (for time) as the independent variable to model the situation. Then
find the value of the function after the given amount of time.
The value of a textbook is $63 and decreases at a rate of 14% per year for 13 years.
The exponential function that models the situation is y = 63(0.86).
After 13 years, the value of the textbook is $

Answers

Answer 1

Answer:

An exponential function is given by;

f(x)=ba^x

where a is any value greater than 0,

          b is the intial value

when a>1 then f(x) is defined as an exponential growth

when a<1 then f(x) is defined as an exponential decay

From the our function;

f(t)=15000(0.86)^t

a=0.86<1

b=15000

since a<1, the function will be an exponential decay.

Step-by-step explanation:


Related Questions

Write the equation for the line L shown in the figure

Answers

the coordinate is (2, -2).

The coordinate point is (2,-2) because you do the X- axis first which is at 2 and then the Y-axis which is -2

(Asapppppp!!)
Simplify to create an equivalent expression,
19 - 6(-k - 2)
Choose 1 answer,
A.-6k+31
B.25k+7
C.6k+31
D.25k+32

Answers

Answer:

56/1230

Step-by-step explanation:

Answer:
I’m not sure but I think it is letter C.
Good luck

what is the relative frequency as a percent to the nearest tenths of males and females who ride their bike to school when compared to the total population?

Answers

Answer:

100 percent - 18 percent

Step-by-step explanation:

answer will come

Multiple Choice. Which of the following fractions is equivalent to 6/15
2/7
4/10
1/2
1/4

Answers

Answer:

the answer that is equivalent to 6/15 is 4/10

What is the volume of the pyramid?
*Do NOT round your answer!

Answers

Volume= 611 yd^3
Explanation=
V=L*W*H/3
V=10*13*14.1/3
V=611

Answer:

V ≈ 611

Step-by-step explanation:

Solution

V = l w h  ÷ 3 = 14.1 × 13 × 10  / 3 ≈ 611

If a plane traveled 610 miles in 1 hour, how fast is it going?

Answers

Answer:

very fast

Step-by-step explanation:

10.2 miles per minute :)

miles:610
Hours: 1
Miles/hour=miles per hour
610/1=610
Answer: 610miles per hour

hellooop

what is the y-intercept of the graph shown below?

Answers

Answer:

-7 :) hope this helps

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

To find the y intercept find where the line crosses the the x axis at zero so for this graph it crosses at (0,-6) making the y intercept -6

karen is building a house in Norfolk, Virginia. She would like a bedroom that is 12 feet in length by 10 feet in width. What is the area of the bedroom?

Answers

Answer:

POINTFARMER.EXE=EZ

Step-by-step explanation:

Answer:

120 feet^2

Step-by-step explanation:

HELP PLEASE IM BEING TIMED

Answers

Answer:g

Step-by-step explanation: because those sides equal one another if you flip them them same way

CAN SOMEONE PLEASE GIVE ME THE ANSWER TO QUESTION 6? PLS ILY

Answers

Answer:

12.5

Step-by-step explanation:

We want to find 1/8 of 100 so we would write it as 100÷8 to get 12.5

Now we know that 12.5 is equivalent to 1/8 but let's double check.

12.5×8 is 100

1/8 ×8 is 8/8

100=8/8

What is 8 x 3? I'm doing an i-ready lesson and I forgot, please help me XD

Answers

Answer: 24

Step-by-step explanation:

Will mark b for right answer !!!!!


( calculate angels using line and angle relationships)

Answers

Answer:

56

Step-by-step explanation:

because it is a right angle so 90 _ 34 = 56

Answer:

the answer should be 56 as 90-34=56

Identify four tables that show a proportional relationship. Giving correct answer brain and 5 stars!!!

Answers

Answer:

The correct answer is A

Step-by-step explanation:

Forget about the decimal nd think about quarters 1 quarter is 25 2 is 50 3 is 75 and 4 is 1.00

Answer:

The answer is A if I understand the question correctly.

Step-by-step explanation:

6. Claim: = 0.01.
Population statistics: = 52 and = 68
Sample statistics:
5595, N1
156 and X2 = 5575, n2 = 216

Answers

Answer:

false

Step-by-step explanation:

you have to multiply the 52 and 68, making the n1 = 5577, not 5575

hi i will mark brainliest if at least 2 are done:)

Answers

Answer:

[tex]3x+18x+5x-2=180\\26x-2=180\\26x=182\\X=7[/tex]

[tex]<D=21\\<E=126\\<F=33\\[/tex]

[tex]16x+13x+16x=180\\45x=180\\X=4\\[/tex]

[tex]<G=64\\<H=64\\<I=52\\[/tex]

[tex]X+8+6x-5+2x-3=180\\9x=180\\X=20\\[/tex]

[tex]<J=28\\<K=115\\<L=37\\[/tex]

Step-by-step explanation:

i f N(-7,-1) is a point on the terminal side of ∅ in standard form, find the exact values of the trigonometric functions of ∅.

Answers

Answer:

[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]

[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]

[tex]tan\ \varnothing = \frac{1}{7}[/tex]

[tex]cot\ \varnothing = 7[/tex]

[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]

[tex]csc\ \varnothing = -5\sqrt 2[/tex]

Step-by-step explanation:

Given

[tex]N = (-7,-1)[/tex] --- terminal side of [tex]\varnothing[/tex]

Required

Determine the values of trigonometric functions of [tex]\varnothing[/tex].

For [tex]\varnothing[/tex], the trigonometry ratios are:

[tex]sin\ \varnothing = \frac{y}{r}[/tex]       [tex]cos\ \varnothing = \frac{x}{r}[/tex]       [tex]tan\ \varnothing = \frac{y}{x}[/tex]

[tex]cot\ \varnothing = \frac{x}{y}[/tex]       [tex]sec\ \varnothing = \frac{r}{x}[/tex]       [tex]csc\ \varnothing = \frac{r}{y}[/tex]

Where:

[tex]r^2 = x^2 + y^2[/tex]

[tex]r = \sqrt{x^2 + y^2[/tex]

In [tex]N = (-7,-1)[/tex]

[tex]x = -7[/tex] and [tex]y = -1[/tex]

So:

[tex]r = \sqrt{(-7)^2 + (-1)^2[/tex]

[tex]r = \sqrt{50[/tex]

[tex]r = \sqrt{25 * 2[/tex]

[tex]r = \sqrt{25} * \sqrt 2[/tex]

[tex]r = 5 * \sqrt 2[/tex]

[tex]r = 5 \sqrt 2[/tex]

Solving the trigonometry functions

[tex]sin\ \varnothing = \frac{y}{r}[/tex]

[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2}[/tex]

Rationalize:

[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]sin\ \varnothing = \frac{-\sqrt 2}{5*2}[/tex]

[tex]sin\ \varnothing = \frac{-\sqrt 2}{10}[/tex]

[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]

[tex]cos\ \varnothing = \frac{x}{r}[/tex]

[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2}[/tex]

Rationalize

[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]cos\ \varnothing = \frac{-7*\sqrt 2}{5*2}[/tex]

[tex]cos\ \varnothing = \frac{-7\sqrt 2}{10}[/tex]

[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]

[tex]tan\ \varnothing = \frac{y}{x}[/tex]

[tex]tan\ \varnothing = \frac{-1}{-7}[/tex]

[tex]tan\ \varnothing = \frac{1}{7}[/tex]

[tex]cot\ \varnothing = \frac{x}{y}[/tex]

[tex]cot\ \varnothing = \frac{-7}{-1}[/tex]

[tex]cot\ \varnothing = 7[/tex]

[tex]sec\ \varnothing = \frac{r}{x}[/tex]

[tex]sec\ \varnothing = \frac{5\sqrt 2}{-7}[/tex]

[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]

[tex]csc\ \varnothing = \frac{r}{y}[/tex]

[tex]csc\ \varnothing = \frac{5\sqrt 2}{-1}[/tex]

[tex]csc\ \varnothing = -5\sqrt 2[/tex]

pls help question is on picture

Answers

Answer:

25 degrees

Step-by-step explanation:

5 * 5  = 25

If 5x + 4y= 13 and 4x + 5y = 14, find the value of (x - y).​

Answers

Answer:

x - y = - 1

Step-by-step explanation:

Given the 2 equations

5x + 4y = 13 → (1)

4x + 5y = 14 → (2)

Subtract (2) from (1) term by term , that is

(5x - 4x) + (4y - 5y) = 13 - 14

x - y = - 1

Answer:

x = 1

y = 2

x - y = -1

Step-by-step explanation:

5x + 4y= 13,   then 4y = 13 - 5x, then y = (13 - 5x)/4

4x + 5y = 14

substitute for y:

4x + 5(13 - 5x)/4 = 14

simplifying:

4x + (65 - 25x)/4 = 14

4x + 16.25 -6.25x = 14

-2.25x = -2.25

x = 1

y = (13 - 5)/4 = 2

Which equation has exactly ONE solution?
A) 3 + 10x / 2 = 4x + 2
B) 15x − 5 / 3 = 5x + 4
C) 2 + 6x / 2 = 3x + 1
D) 4x − 10 / 2 = 2x − 5

Answers

Answer:

the answer is d.

Step-by-step explanation:

please mark brainliest

Answer:

I don't know  because

Step-by-step explanation:

A= -1

B)= 17/30

C)= has no solutions

D)= 0

0.
A mountain climber ascends a mountain to its peak. The peak is 14,090 ft above sea level. The climber then descends 490 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the other climber.


13,600 ft

14,580 ft

–13,600 ft

9,190 ft

Answers

Answer:

13,600 feet above sea level

Step-by-step explanation:

The climber was at 14,090 feet above sea level, and then they went 490 feet closer to sea level to meet the other climber. Since they’re moving closer to sea level and you want to know how far *above* sea level they are, subtract 490 from 14,090. 14,090-490=13,600 feet above sea level

Which best explains whether or not all isosceles triangles are similar?

All isosceles triangles are similar. Two angles within each triangle are always congruent.
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.

Answers

Answer:

C: All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

Step-by-step explanation:

An Isosceles triangle is one that 2 of it's sides are equal and thus two of its angles are congruent which means they are equal.

Now, another Isosceles triangle may not necessarily be similar to another one because the congruent angles in one Isosceles triangle may not be the same with that of another Isosceles triangle.

Thus, correct answer is option C

Answer:

C, I think I hope you all do well on your test!!!!

Step-by-step explanation:

What would be the best estimate for the height of a front door?

Answers

Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.

Step-by-step explanation:

Nora has a action figure collection consisting of 180 action figures she keeps on the wall and 220 she keeps in a display case. What percentage of Nora's action figure collection does she keep on her wall?

Answers

Answer:

45%

Step-by-step explanation:

Answer:

hey is nora selling them , pls give her number

Step-by-step explanation:

Calculate and express your answer in decimal form. 12⋅17

Answers

Answer:

12·17=207 But if you need it in a decimal, I'd say 2.07. Hope this helps!! (:

What is the slope-intercept equation for the line below?

Answers

Answer:

Answer is C

Step-by-step explanation:

Please help me please please ASAP ASAP please ASAP

Answers

Answer:

45

Step-by-step explanation:

Well, it is not 90 degrees, as it is not a right angle.

It cannot be 180 degrees as that would be a straight line and a triangle's whole angle measure is 180 degrees.

It is an acute angle, and appears to be half of 90 degrees, so I would have to say 45 degrees.

Not enough information is false because you can infer that it is 45 degrees by looking at it.

Hope that helps!

The answer is 45 because the person on top put 45

The diameter of a circle is 4 units.
What is the radius of the circle?
units

Answers

Answer:

radius = D/2

Step-by-step explanation:

radius= 4unit/2

=2unit

Steve invests $1,800 in an account that earns 3.7% annual interest, compounded continuously. What is the value of the account after 10 years? Round your answer to the nearest dollar. A. about $2,466 B. about $2,589 C. about $2,601 D. about $2,606

Answers

Answer:

B. about $2,589

Step-by-step explanation:

Given data

P=$1,800

R= 3.7%

T=10years

The expression for the compound interest is given as

A= P(1+r)^t

substitute

A= 1800(1+0.037)^10

A= 1800(1.037)^10

A=1800*1.43809495884

A=$2588.570

Hence the answer is  B. about $2,589

need help ASAP!!! anyone know ??????

Answers

Answer:

D

Step-by-step explanation:

the answer would be D

Write the inequality represented by each graph..
Graph one : (0,-1) (6,3)

Graph two : (0,3) (4,-5)


Help

Answers

Answer:

Step-by-step explanation:

HERE ARE THE ANSWERS

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