Equations of Exponential Functions

The population, P, of six towns with time t in years are given by the following exponential equations:

(i) P = 1000(1.08)t (ii) P = 600(1.12)t
(iii) P = 2500(0.9)t (iv) P = 1200(1.185)t
(v) P = 800(0.78)t (vi) 2000(0.99)t

Which town is growing the fastest?

a. i c. iv
b. iii d. vi

Please select the best answer from the choices provided

Answers

Answer 1

Answer:

C. iv

Step-by-step explanation:

I calculated it logically


Related Questions

Help! Cant figure out math question!

Answers

x = - 0.09
x = 1.76

Are the two possible values for X

Given:
f(x) = x² + x − 6
g(x) = x + 3
Find: (f/g)(x)

Answers

Answer:

x–2, x ≠ -3

Step-by-step explanation:

Solution in the diagram

Find the perimeter of the polygon.
S cm
6 cm
6 cm
8 cm
a. 25 cm
b. 20 cm
C. 30 cm
d. 28 cm
Please select the best answer from the choices provided
Ο Α

Answers

Answer:

A. 25 cm

Step-by-step explanation:

Perimeter of a polygon = the sum of all sides of the polygon

Therefore,

Perimeter of the given polygon = 5 + 6 + 8 + 6

Perimeter = 25 cm

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=26°, and OP = 13 feet. Find the length of PN to the nearest tenth of a foot.

Answers

Answer:

b

Step-by-step explanation:

How many solutions do the systems of equations have?
y =-1/3 x + 9
y =- 2/6x

Answers

The answer is: No solution.

Explanation:
The slopes are the same (-1/3 is the same as -2/6 because -2/6 can be simplified to -1/3) but the y intercepts are different.

PLEASE HELP ME! There are 2 Images below!!!

Answers

Answer:

A

Step-by-step explanation:

The slop formula is [tex]\frac{rise}{run}[/tex] and in the first one the rise increase per y (x) is 2 units and the run (y) is 1 as we calculated the run as how many units x rises per y and A is the answer due to it being the one which follows the rule.

Half of the class of 40 students are absent. How many students are absent today?​

Answers

Answer:

20 students were absent

Step-by-step explanation:

Half means divide by 2:

40/2 = 20

(6 × 10a) + (6 × 10b) + (6 × 10c) = 6006.6
Write down a possible set of values of a, b and c.

Answers

The values of a , b and c from the equation is ( 3 , 0 , -1 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

( 6 × 10ᵃ ) + ( 6 × 10ᵇ ) + ( 6 × 10^c ) = 6006.6   be equation (1)

Now , the number 6006.6 is written as

6000 + 6 + 0.6 = 6006.6

On simplifying the equation , we get

( 6 × 10ᵃ ) = 6000

Divide by 6 on both sides of the equation , we get

10ᵃ = 1000

So , 10ᵃ = 10³

Therefore , the value of a = 3

Now , ( 6 × 10ᵇ ) = 6

Divide by 6 on both sides of the equation , we get

10ᵇ = 1

when b = 0

10⁰ = 1

Therefore , the value of b = 0

Now , ( 6 × 10^c ) = 0.6

Divide by 6 on both sides of the equation , we get

10^c = 0.1

when c = -1

10⁻¹ = 0.1

Therefore , the value of c = -1

Hence , the value of a , b and c is 3 , 0 and -1 respectively

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Find the area. The figure is not drawn to scale.

Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.

Answers

Answer:

[tex](a)\ Area = 28.12cm^2[/tex]

[tex](b)\ Volume = 1437.33cm^3[/tex]

Step-by-step explanation:

Solving (a): The parallelogram

[tex]h = 7.6[/tex] --- height

[tex]b = 3.7[/tex] --- base

The area is calculated usng:

[tex]Area = base * Height[/tex]

[tex]Area = 3.7 * 7.6[/tex]

[tex]Area = 28.12cm^2[/tex]

Solving (b): The sphere

[tex]d = 14cm[/tex]

Required

The volume

First, calculate the radius

[tex]r = d/2[/tex]

[tex]r = 14cm/2 = 7c,[/tex]

The volume is calculated using:

[tex]Volume = \frac{4}{3} \pi r^3[/tex]

This gives:

[tex]Volume = \frac{4}{3} * \frac{22}{7} * 7^3[/tex]

[tex]Volume = \frac{4}{3} * 22 * 7^2[/tex]

[tex]Volume = \frac{4}{3} * 1078[/tex]

[tex]Volume = \frac{4*1078}{3}[/tex]

[tex]Volume = \frac{4312}{3}[/tex]

[tex]Volume = 1437.33[/tex]

mark is thinking of two numbers
his two numbers have a positive sum but a negative product
give an example of what hi numbers could be ?

Answers

9514 1404 393

Answer:

  -2, 3

Step-by-step explanation:

For the product to be negative, exactly one of the two numbers must be negative. For the sum to be positive, the positive number must be larger than the absolute value of the negative number.

One such pair of numbers is -2 and 3.

__

Their product is -6; their sum is +1.

if you earn 3250 over the 10 year period, how much will be in the account at the end of the 10 year period?

Answers

If earning 3250 per month over 10year period, At the end of 10th year, the amount on the account will be 390,000

What is multiplication?

To multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product.

The amount earned In a month is 3250.

There are 12 months In a year.

The total month in 10 years = 10× 12 = 120 months

The total amount in the account for 10years = 120×3250 = 390,000

Therefore there will be 390000 in the account at the end of 10th year.

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Which value makes the number sentence true?

Answers

Answer:

D) 19

Step-by-step explanation:

-7 + 19 = 12

Fine the volume for the shape below:


Please help ASAP, will mark brainlist.

Answers

r=
2
3
2



3

π


3

3


3

V



100 POINTSSSSS!!!!!!!!!!!!!!!!!

What is the solution to the equation 1 over 5 multiplied by n equals 3 ? (5 points)

n = 8
n = 15
n = 25
n = 125

Answers

Answer:

n=15

Step-by-step explanation:

Answer:

n = 15

Step-by-step explanation:

1/5 * 15 = 3

This is 100% correct, if you don't believe me go to a new tab and type 1/5*15

It will say 3.

Write an explicit formula for An, the nth term of the sequence 16, -8,4, ....

Answers

Answer:16(-1/2)^n-1

Step-by-step explanation:

Order from least to greatest √_220 , -10, √_100 , 11.5

Answers

Answer: -10, √_100, 11.5, √_220

Step-by-step explanation:

-10 is the least bc it just is and √_100 simplified is 10 and 11.5 is a little greater so duh and √_220 simplified is 14.83

10 gallons 4 quarts = ____ quarts

Please help

Answers

Answer:40 quarts
10•4=40

20. You are buying new car for $24,320. You must put down 17%. How much will you need to finance the car for?

Answers

17 percent of 24320 is 4134.4

basically minus that

so

24320 - 4134.4 = 20,185.60

Answer:

24320 - 4134.4 = 20,185.60

Step-by-step explanation:

:)

What is the axis of symmetry for a parabola expressed by the quadratic equation? y=x^2+10x-25

Answers

Answer:

the axis of symmetry is: x=-5

Please help with this question and please no links or things unrelated to the problem. Best answer gets Brainliest :)

Answers

Answer:

D.  X= -3/2, y= 4

Step-by-step explanation:

Just took the test

3y+2=2x is this a direct variation

Answers

The equation 3y + 2 = 2x is not a direct variation

How to determine if the equation is a direct variation

From the question, we have the following parameters that can be used in our computation:

Variation = direct variation

3y + 2 = 2x

A direct variation is represented as

y = kx

Where k is the constant of proportion

When the equations y = kx and  3y + 2 = 2x are compared, we can see that

The equation 3y + 2 = 2x has a constant term

Hence, the equation is not a direct variation

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4. The profit on one share is Rs20.What is the profit on 5000 shares?

Answers

Answer:

The profit is: [tex]Rs100000[/tex]

Step-by-step explanation:

Given

[tex]1 \to Rs20[/tex]

Required

Profit on 5000

Repesent this as: x

So, we have:

[tex]1 \to Rs20[/tex]

[tex]5000 \to x[/tex]

Cross Multiply

[tex]x * 1 = Rs20 * 5000[/tex]

[tex]x * 1 = Rs100000[/tex]

The profit is: [tex]Rs100000[/tex]

Exponential Functions

Determine which of the following exponential formula(s) represents exponential function II in the graph above.
(a) 10(1.2)t (β) 10(1.5)t
(x) 20(1.2)t (8) 30(0.85)t
(8) 30(0.95)t (∅) 30(1.05)t

a. x c. 8
b. a d. ∅

Please select the best answer from the choices provided

Answers

Answer:

A. x

Step-by-step explanation:

I calculated it logically

LMNP is a rectangle. Find the value of x and the length of each diagonal.

Answers

The value of x is equal to 3.

The length of diagonal LN is equal to 18 units.

The length of diagonal MP is equal to 15 units.

What is a diagonal?

In Mathematics, the diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.

This ultimately implies that, the length of each diagonal of a rectangle is always equal to each other. Therefore, the diagonals of any rectangle is always equal to one other.

How to determine the value of x?

We would determine the value of x by equating the length of each diagonal as follows;

LN = MP

7x - 3 = 4x + 3.

7x - 4x = 3 + 3

3x = 6

x = 6/2

x = 3.

Next, we would calculate length of each diagonal as follows;

LN = 7x - 3

LN = 7(3) - 3

LN = 21 - 3

LN = 18 units.

MP = 4x + 3.

MP = 4(3) + 3.

MP = 12 + 3

MP = 15 units.

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Complete Question:

LMNP is a rectangle. Find the value of x and the length of each diagonal.

LN = 7x - 3 and MP = 4x + 3.

Please help on both!!!!!

Answers

Answer:

[tex]14\pi[/tex] and [tex]16\pi[/tex]

Step-by-step explanation:

The equation for the circumference of circles is either [tex]d\pi[/tex] or [tex]2r\pi[/tex], with r being the radius and d being the diameter.

Question A

The diameter is stated as 14. Plug into the equation to get:

[tex]14\pi[/tex]

This is your answer in exact form.

Question B

The radius is stated as 8. Plug into the equation to get:

[tex]2(8)\pi[/tex]

[tex]16\pi[/tex]

This is your answer in exact form.

Answer:

1) 43.98

2) 50.27

Step-by-step explanation:

I hope this helps!

NO LINKS!!!



A researcher found the average cost of one and two-bedroom apartments for different cities and graphed the data in a scatter plot, with costs of one-bedroom apartments along the x-axis. The variables have a strong linear correlation and the equation for the regression line is yˆ=1.182x+19.096 .

Based on the equation, what should the researcher expect for the average cost of a two-bedroom apartment in a city where the average cost of a one-bedroom apartment is $815?

Answers

Answer:

i hope it helps mapriend

This is just a end of grade test question, I’m wondering, when you search up “5th Grade Eog (Math/Science/Reading)” It shows something called the ‘released’ EOG. Is that the actual EOG or is it just practice? Please someone tell me!

Answers

It really depends on your school district

Answer:

it just a released test from previous year. It is not the real test . I may be use as a practice.

Step-by-step explanation:

The weight of the square is 10 grams. How much heavier is the circle than the square?

Answers

The weight of the circle is heavier than the weight of the square by the weight of the triangle

How to find how much weightier is the circle as compared with the square

Examining the weights, can lead to a linear equation, the equation will have the follows parameters

let t represent triangle

let c represent circle

let s represent square

6s + 3t = 3s + 3c

6s - 3s + 3t = 3s + 3c

3s + 3t = 3c

divide through by 3

s + t = c

10 + t = c

From the equation 10 + t = c we can say that the weight of the circle is a triangle weight more than the square

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WILL MARK BRAINLIEST!

Calculate mF in parallelogram FGDE.

Answers

answer to this question would be d :)

What is a remainder

Answers

I think you spelt it wrong

A remainder is the remaining amount of a number than comes out of a division. I'm not sure how to explain it better, so I'll give you an example:

Let's say you want to divide 5 by 2. We know that 5 can't be divided by 2 evenly, it won't give you a whole number. Instead it will give you a decimal 2.5.

In this case, 1 is the remainder and I will explain why! Do the long division for 5/2. 2 fits into 5 two times, so you multiply 2 * 2, which gives you 4. If you subtract that number from 5, you get 1. We know that 2 can't fit into one, therefore, 1 is the remainder. once you start getting into decimals, you can fit numbers into other numbers, which is why technically you can fit 2 into 5, but you can't fit it in evenly, if that makes sense!

I hope this example helps see what a remainder is. It's just the number in a long division that the divisor (in my example, 2 is the divisor) can't fit in!

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