Make an exponential model y(t) with the given properties. Assume that t is the number of periods.
The initial value is 460, and there is a 6% decrease each period.

Answers

Answer 1

Answer:

y(t) = 460(0.94)^t

Step-by-step explanation:

Use the basic exponential decay form, Y = a(1 - b)^x, where a is the starting amount/y-int, b is the growth/decay rate, and x is amount of time/periods.

Plug in the values we know:

y(t) = 460(0.94)^t will be the exponential model

Answer 2

The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].

Calculation of an exponential model:

Since

The initial value is 460, and there is a 6% decrease each period.

So here we use the basic exponential decay form i.e.

[tex]Y = a(1 - b)^x,[/tex]

here a is the starting amount

y is interest

b is the growth/decay rate,

and x is amount of time/periods.

So,

[tex]y(t) = 460(0.94)^t[/tex]

hence, The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].

Learn more about model here: https://brainly.com/question/24499895


Related Questions

This is my algebra I have a A+ but I wanna keep it up

Answers

Answer:

45 minutes

Step-by-step explanation:

We want to know how long it takes to an airplane to fly a distance of 375 miles, if the speed of the airplane is 500 miles per hour.

For this, we should divide the distance/speed to get the time that the plane needs.

T = 375mi/(500mi/h) = 0.75 hours

The plane needs 0.75 hours or 0.75*60 = 45 minutes to fly that distance.

A store sold 4 pen drives and 10 hard drives on the first weekend and made 200 dollars, in the second weekend the store sold 6 pen drives and 14 hard drives and made 290 dollars? what is the price of pen drive and hard drive

Answers

Answer:

THE ANSWER SHOULD BE 14

Step-by-step explanation:

JHJHUUYUU

The measure of G is six more than twice the measure of H. If G and H are supplementary angles, find the measure of H pls I need help pls

Answers

Answer:

The measurement of angle H is 58°

Answer:

77

Step-by-step explanation:

G =2H+6=180

2H+6=180

2H=180-6

2H=154

H=154/2

=77

-14 - 8x = -2(-3x + 7)
solution? No solution? Infinite?

Answers

Answer:

the answer is one solution

Answer:

x=0

This means that there is a solution.

Step-by-step explanation:

Step 1- Distribute into the parenthesis

-14-8x= (-2)-3x+(-2)7

Step 2- Multiply

-14-8x= 6x-14

Step 3- Add 8x to both sides.

-14x-8x= 6x-14

     +8x +8x

Step 4- Add 14 to both sides.

-14= 14x-14

+14       +14

Step 5- Divide both sides by 14.

0 = 14x

14    14

x=0

What is the area of this circle?
2cm
Area = [?] cm?
Round your answer to 2 decimal places

Answers

Answer:

12.57

Step-by-step explanation:

Not rounded it would be 12.56637

If you are just replacing pi with 3.14. than your answer would be exactly 12.56.

Solve for x: x / 24= 3/8 (the / means its a fraction)

Answers

Answer:

[tex]x=9[/tex]

Step-by-step explanation:

[tex]\frac{x}{24}=\frac{3}{8}[/tex]

Multiply both sides by 24:

[tex]\frac{24x}{24}=\frac{3\times24}{8}[/tex]

[tex]x=\frac{72}{8}[/tex]

[tex]x=9[/tex]

Jorge asked 15 of his classmates how many different states they lived in. The results are shown in the the dot plot.

Answers

Using the dot plot, it is found that the correct option is:

Four out of 5 students have lived in only 1 or 2 states.

What is a dot plot?The dot plot shows the number of times each measure appears in the data-set.

Hence:

7 classmates have lived in one different state.5 classmates have lived in two different states.2 classmates have lived in three different states.1 classmate has lived in five different states.

That is, 12 out of 15, that is, four out of five students have lived in either 1 or 2 different states, hence the third option is correct.

To learn more about dot plot, you can take a look at https://brainly.com/question/24912483

Rewrite terms that are subtracted as addition of the opposite. g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6) Group like terms. Combine like terms. Write the resulting polynomial in standard form.

Answers

Answer:

-4g^4 -3g^3 + 4g^2 +5g +3

Step-by-step explanation:

g^2 + -4g^4 +5g +9 -3g^3 + 3g^2 -6

-4g^4 -3g^3 + 4g^2 +5g +3

Answer:

B

Step-by-step explanation:

Ann Clair and josh collect sticker one week Ann collects 7 more sticker then josh josh collect twice as many stickers as Claire. If they collect a total of 157 stickers how many sticker did each collect

Answers

Answer:

Ann: 67Clair: 30Josh: 60

Step-by-step explanation:

If we let A, C, and J represent the number of stickers collected by Ann, Clair, and Josh. respectively, then we have the relations ...

  A = J +7

  J = 2C

  A + C + J = 157

__

Substituting the first equation into the last, we have ...

  J +7 + C + J = 157

  C +2J = 150 . . . . . . . collect terms, subtract 7

Substituting the second equation into this one, we have ...

  C +2(2C) = 150

  C = 150/5 = 30 . . . .  divide by the coefficient of C

  J = 2·30 = 60

  A = 60 +7 = 67

Ann collected 67 stickers, Clair collected 30, and Josh collected 60 stickers.

Answer:

Ann has 67

Josh has 60

Claire has 30

Suppose M is the midpoint of FG. Find the missing measure.
FM = 2k - 5, FG = 18

Answers

Answer:

k= 7

Step-by-step explanation:

if m is the midpoint of fm, and fm= 2k-5. and fg=18. then you can do: 2k-5+2k-5=18 and solve for x

The measure of FM is 9 and MG is 9.

Given,

M is the midpoint of FG.

FM = 2k - 5 and FG = 18.

We need to find the measure of MG.

What is meant by the midpoint between two points?

If there is a midpoint between two points the midpoint will divide the distance between the two points into two equal halves.

AB is the distance between two points A and B

If C is the midpoint then,

AC = CB = AB / 2

We have,

FG is a line.

M is the midpoint of this line FG.

Now,

F______M______G

Since M is the midpoint we have,

We need to get,

FM = MG = FG/2

FG = FM + MG

We need to find the k value.

FM = FG/2

2k - 5 = 18/2

Multiplying 2 on both sides

4k - 10 = 18

Adding 10 on both sides

4k - 10 + 10 = 18 + 10

4k = 28

Dividing both sides by 4

k = 28/4 = 7

k = 7.

So,

FM = 2k - 5 = 2 x 7 - 5 = 14 - 5 = 9

Since M is the midpoint

FM = MG

We have,

MG = 9

We can see that,

FG = FM + MG

18 = 9 + 9

18 = 18

Thus the measure of FM is 9 and MG is 9.

Learn more about finding measures of a line between two points here:

https://brainly.com/question/617690

#SPJ2

In which Quadrant is the point (4, -2) located?
Quadrant 3
Quadrant 1
Quadrant 4
0 Quadrant 2

Answers

Answer:

Quadrant 4

Step-by-step explanation:

We go to the x-axis first and put a point on number 4, second we move that point along the y-axis till number -2

which is located in the 4th quadrant

Answer: Quadrant 4

Step-by-step explanation: Since the rule for Quadrant 4 is (+, -) it will be located there because 4 is a positive number and -2 is a negative number.

Given g(x) = 3x+3, find g(6)

Answers

Answer:

g(6)=21

Step-by-step explanation:

Given g(x)= 3x+3, Find g(6)

1. Replace g(x) with g(6), and x with 6. The equation will now look like this: g(6)=3(6)+3

2. Multiply 3 and 6, to equal 18. The equation will now look like this: g(6)=18+3

3. Add 18 and 3 to equal 21. The Answer is g(6)=21

Which of the following is equivalent to √54 ? 9√6 3 √9 3 √6 2√27

Answers

It would be 3 √6
Hope that helped

Solve - 2x - 8> 3x + 12.
Please help!

Answers

Answer:

B. X < -4

Step-by-step explanation:

-2x - 8 > 3x + 12

Subtract 3x from both sides

-5x -8 > 12

Add 8 both sides

-5x > 20

Divide -5 both sides

X < -4

Answer: x < -4

Step-by-step explanation:

Subtract 3x from both sides

-5x - 8 > 12

Add 8 to both sides

-5x > 20

Divide both sides by -5

x < -4

Find the distance between points (1, 5) and (3, 0) to the nearest tenth. !!

Answers

Answer:

The answer is

5.39 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(1, 5) and (3, 0)

The distance between them is

[tex]d = \sqrt{( {1 - 3})^{2} + ({5 - 0})^{2} } \\ = \sqrt{ ({ - 2})^{2} + {5}^{2} } \\ = \sqrt{4 + 25} \\ = \sqrt{29} \: \: \: \: \: \: \: \\ = 5.38516 \: [/tex]

We have the final answer as

5.39 units to the nearest tenth

Hope this helps you

HELP PLS THIS IS IMMEDIATE

Answers

Hello the answer is on the paper

A rope which is 18.35 centimeters long is cut into 6 pieces of equal length. What is the
length of each piece?

Answers

Answer:

3.05

Step-by-step explanation:

if you divide 18.35 by 6 it is 3.05.

Answer:

3.08533333333 continued indefinitely

Step-by-step explanation: you will need to divide 18.35 cm by 6 pieces.

What is (a+b)(x)?
Let a(x)=3x^2-5x+2 and b(x)=x^2+8x-10

Answers

Answer:

Step-by-step explanation:

3x^2 - 5x + 2 + x^2 + 8x - 10

4x^2 + 3x - 8

2. Is the data set "dollars of sales per week” quantitative or qualitative?

Answers

Answer:

this would be quantitative.

Step-by-step explanation:

because its an amount like dollars of sales per week so it would be quantitative or numbers

X if 1/3 of x is 14 Please help!bb

Answers

Answer:

Step-by-step explanation:

x/3 = 14

x = 42

Write the algebraic expression:
Two times a number plus two

Answers

Answer:

2 x a + 2

Step-by-step explanation:

You are welcome

POSSIBLE POINT
Evaluate each expression if a = 4, b = 6, and c = 2
What is
ab - c

Answers

Answer: 22
ab - c
4*6 - 2
24 - 2 = 22

Convert 10pi/9 to degree measure.

Answers

Answer:

The answer is

200°

Step-by-step explanation:

To convert an angle from degrees to radians multiply the value by [tex] \frac{180}{\pi} [/tex]

From the question the value to be converted is [tex] \frac{10\pi}{9} [/tex]

Converting it into degrees we have

[tex] \frac{10\pi}{9} \times \frac{180}{\pi} \\ = \frac{1800}{9} [/tex]

We have the final answer as

200°

Hope this helps you

The best approximation for 10
IS
25
O 3.1
5
O 100

Answers

5 ? it’s the closest number

Answer:

its 3.1

Step-by-step explanation:

i said hey google

!!20 POINTS!!
What are the names of three collinear points?

Answers

Answer: L, J, K

Step-by-step explanation:

L, J, and K are collinear because they all lie on the same line.

What is the solution of this equation?
-7 + 1/3b = -6

Answers

Answer:

b=3

Step-by-step explanation:

-7+1/3b=-6

+7         +7

1/3b=1

*3    *3

b=3

Please help! x=6 and b=3 5(x+b)-b

Answers

Answer:

the answer to the question above is 42

Step-by-step explanation:

5(6+3)-3=42

Answer:

42!

Step-by-step explanation:

5(6+3)-3

30+15-3

45-3

42!

Hope I helped! :D

Which is an x-intercept of the graphed function?

(0,4)
(-1,0)
(4,0)
(0,-1)​

Answers

Answer: (-1, 0)

Step-by-step explanation: It is the only point that crosses the x-axis and is an answer choice.

Please mark BrainliesT!

Find the mean:
9, 9, 3, 2, 8, 7, 4

Answers

Answer:

Step-by-step explanation:

mean aka average: (9+9+3+2+8+7+4)/7 = 6

Answer:

6

Step-by-step explanation:

Mean = Sum of the numbers/total no of numbers

There are 7 numbers

[tex]\frac{9+ 9+ 3+ 2+8+ 7+ 4}{7} \\\\= \frac{42}{7} \\\\Divide\\\\= 6[/tex]

13) Print-o-rama charges a $25 setup fee and $8 per shirt. Printastic charges a $64 set
up fee and $5 per shirt. For what number of shirts do the companies charge the same
amount? What would the charge be?

Answers

Answer:

At 8 shirts, Print-o-rama charges $89.  At 5 shirts, Printastic charges $89.  

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