If the exponential model f(x)=9(13)x is written with the base e, it will take the form A0ekx. What is A0 and what is k?

Answers

Answer 1

9 × 13ˣ = 9 × exp(ln(13ˣ ))

… = 9 × exp(x ln(13))

… = A₀ × exp(kx)

so that

A₀ = 9

k = ln(13)


Related Questions

Why do you think there is a limit on the number of times you can withdraw or transfer money in your savings account?

Answers

Answer:

I think that there is a limit on the number of times  you can withdraw or transfer money in your savings account because banks only maintain a small percentage of the money people deposit on the savings accounts and most of the money is used for loans and they need to limit that to be able to have enough reserves to cover the withdrawals. If they don't put a limit people can try to withdraw all the money at the same time and the bank would not have the funds to cover that.

6x-18=51 solve for x​

Answers

move -18 to the other side
6x=51+18
6x=69
divide both sides by 6
6x divide by 6 and 69 divide by 6
x=11.5

Answer:

11.5

Step-by-step explanation:

add 18 to both sides

divide by 6

I NEED HELP ASAP PLS DONT GIVE RANDOM ANSWERS OR LINK I WILL GIVE YOU BRAINLIEST......... thanks :)

Answers

Answer:

D

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here V = 226 and r = 12 ÷ 2 = 6 , then

[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )

3.14 × 36h = 678

113.04h = 678 ( divide both sides by 113.04 )

h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )

slove the evolution 10-i=3​

Answers

Answer:

ans 7

Step-by-step explanation:

given

10_i=3

10_i_3=0

7=i

i=7

A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole, as shown below. A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate. What are the individuals in this data set? holes yards bunkers difficulty levels

Answers

Answer:

Holes got it right :)

Step-by-step explanation:

Answer

difficulty levels

Step-by-step explanation:

took the test

sorry different question

Please I need help
I need the equation of the graph below

Answers

Answer:

0x 57=63

Step-by-step explanation:

11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35

Answers

Answer:

7 x = -35

Step-by-step explanation:

Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.

- 7 x = negative 35

- 7 x = 35

7 x = negative 35

7 x = 35

In this problem we need to add the equations below i.e.

11x-3y = -17 and -4x+3y=-18

Adding both equations,

11x-3y+(-4x)+3y = -17+(-18)

7x= -35

or

7 x = negative 35

Hence, the correct option is (c).

Dose 5x + 9 = 9+5x have no solution one solution or infinitely many solutions?

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

A car travels 30 1/5 miles in 2/3 of an hour. Whwt is the average speed, in miles per hour, of the car​

Answers

Answer:

45 3/10 mph

Step-by-step explanation:

30 1/5 /2 = 15 1/10

15 1/10 x 3 = 45 3/10 mph

Divide. Give the quotient and remainder.
20,226/4

Answers

Answer:

5,056.5 is the answer of 20226 /4

How tall is the statue? PICTURE INCLUDED*

Answers

Your answer should be 12 feet, we do 4 * 15 which is 60, then divide by 5 which means 12 is your answer, or A.

What is the CORRECT answer?

Answers

Answer:

Step-by-step explanation:

Givens

r = 5

h = 30

Formula

SA = 2*pi*r^2 + 2pi*r*h

Solution

SA = 2*3.14 *5^2 + 2*3.14 * 5* 30

SA = 50*3.14 + 300*3.14

SA = 157 + 942

SA = 1099 square inches.

SOMEONE PLS HELP giving brainlest for right answer and extra points

Answers

Answer:

500,000 people

Step-by-step explanation:

2 x 10^5 x 2.5

= 2 x 100,000 x 2.5

= 200,000 x 2.5

= 500,000

Answer:

500000

Step-by-step explanation:

2×10^5=2×100000=200000×2.5=500000

What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?

Answers

Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

whats the mode of $6.00 $6.00 $6.00 $6.00 $5.00 $7.00 $4.00 $7.00​

Answers

Answer:

4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00

Step-by-step explanation:

Mean  5.875

Median  6

Mode 6.00

0f the 64 students in grade five, 3/8 of them either walk or ride a bike to school. The rest take a bus. How many fifth graders take a bus to school? *

Answers

40 fifth graders take a bus to school. 8x8= 64 so they have you a good fraction to start with to find out how many kids are walking or taking their bike (3/8) all you have to do is multiply 3 and 8 which equals 24 to find the fraction of the amount of kids who take the bus you subtract 3 from 8 which gives 5/8 and to get the answer you multiply 5 and 8 which is 40.

It’s a word search

I’ll appreciate it even if you find one

—-Don’t put random stuff just to get points it’s rude——-

I’ll give brainliest if you can find the most

Words can be vertical, horizontal, diagonal, and backwards

Answers

Step-by-step explanation:

rational. meter. greek

I'll try to find.

Will mark brainlest to whoever finds the answer for the square units

Answers

Answer:

32 units squared

Step-by-step explanation:

8(4) = 32

A tennis ball is launched from a catapult from the ground with an initial velocity of 26fps. What is the maximum height of the ball? When will it attain this height? Use H=-16T2+26T

Answers

Answer:

10.5618feet, 0.8125sec

Step-by-step explanation:

Given the height reached by the catapult expressed by the equation H=-16T^2+26T

At the maximum height, the velocity of the object is zero, hence;

v = dh/dt = 0

-32t + 26 = 0

-32t = -26

t = 26/32

t = 0.8125secs

Hence it will attain the maximum height after 0.8125second

Substitute t = 0.8125s into the expression to get the maximum height

H=-16t^2+26t

H = -16(0.8125)^2 + 26(0.8125)

H = -16(0.6602) + 21.125

H = -10.5632+21.125

H = 10.5618

hence the maximum height reached by the ball is 10.5618feet

Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it was 4°C outside. Which expression represents the difference between the two temperatures?

Answers

Answer:

morning  =  -13°C

afternoon = 4°C

so,

x = (morning - afternoon)

I hope this helps a little bit.

PLEASE HELP DUE IN 30 MINUTES ILL GIVE You BRAINLY

Answers

Answer:

C

Step-by-step explanation:

Your answer is C this is just observation so no need for explanation

⚠️THIS IS DUE TODAY⚠️ USE DISTRIBUTIVE PROPERTY

Answers

Answer:

4x + 8

-45 - 5x

7x - 21

Step-by-step explanation:

For the first one

4(x + 2)

for distributive property you multiply the number or symbol next to the outside of the parenthesis, by everything inside the parenthesis.

4(x+2)

4*x = 4x

4*2 = 8

So, this is 4x + 8

-5(9+x)

-5*9= -45

-5*x=-5x

So, this is -45 - 5x

7(x-3)

7*x= 7x

7*-3= -21

This will be 7x - 21

Hope this helps!!

-Ketifa

Trigonometry math, help needed!!!

Find Q, R, and S. I think R is 123. I have provided a picture. Please put the right answer I would appreciate it.

Answers

Answer:

Step-by-step explanation:

A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?

Answers

Answer: 90

Step-by-step explanation:

Answer:

90m

Step-by-step explanation:

you have to cross multiply.

1) multiply (12 * 15) and multiply 2 * X)

2) you get 180 = 2x

3) to get X alone divide 180 by 2 and you will get 90meters

Find the SURFACE AREA of the rectangular prism. LABEL your answer.
5 cm
6 cm
6 cm
What formula will you use to find the area of each side? A=
How many sides does the prism have?
What is the TOTAL surface area? (label your answer)

Answers

Answer:

surface area of prism= 2(lb+bh+lb)

surface area of prism= 2(6×6+6×5+5×6)

surface area of prism= 168cm²

formula=2(lb+bh+hl)

sides=12 sides

total surface area =168cm²

volume of prism=l×b×h

volume of prism=6×6×5

volume of prism=180cm³

if PQ and PR are tangent to circle S,find PQ

Answers

Answer:

From one point, you can draw two tangents to a circle. These two tangents will be equal.

Step-by-step explanation:

7x - 24 = 57 - 2x.

Rearrange the numbers (by adding 2x and 24 on both sides), we get:

7x+2x = 57 + 24

9x = 81.

x = 9.

Length of PQ = 57-2x = 57 - 18 = 39

If PQ and PR are tangent to circle S, then the value of PQ is 39.

What is tangent?

"A line that touches the circle at a single point is known as a tangent to a circle."

What is circle?

"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."

P is the exterior point of a circle.

PQ and PR are the tangents to circle S.

According to theorem,

The lengths of the tangents drawn from a same external point to a circle are always equal.

7x - 24 = 57 - 2x

7x + 2x = 57 + 24

9x = 81

x = 9

PQ = 7x - 24

PQ = 7(9) - 24

PQ = 63 - 24

PQ = 39

Hence, the value of PQ is 39.

To learn more about tangent of a circle here

https://brainly.com/question/23265136

#SPJ2

I NEED THIS ASAP
For what value of q is the equation - 13(9 + 4) = 79 + 16 true?

Answers

Where is q????? Need more info!

Answer:

False

Step-by-step explanation:

ok so

9 + 4 = 13

-13 * 13 = -169

79 + 16 = 95

-165 does not equal 95

Hope this helps!!

Use the long division method to find the result when 4x^3+18x^2+22x+54x 3 +18x 2 +22x+5 is divided by 2x+52x+5.

Answers

Answer:

2x² + 4x + 1

Step-by-step explanation:

Given the question :

4x^3+18x^2+22x+5 divided by 2x+ 5

Dividend = 4x^3+18x^2+22x+5

Divisor = 2x + 5

In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture

The radius of a circle is 6 meters. What is the area of a sector bounded by a 150 arc

Answers

Answer:

47.14 m²

Step-by-step explanation:

Recall that the central angle of a full circle is 2π radians or 360°.  The area of the sector bounded by a 150° arc is the fraction

150°

------- times the area of the full circle (πr²):

360°

(15/36)π(6m)² = 0.417(3.14)(36 m² = 47.14 m²

How many 1/5 cup servings are in 5 cups of cereal?

I need the answer ASAP!

I'll give brainliest!

Answers

Answer:

there are 25 1/5 cups

Step-by-step explanation:

25/5=5

hope this helps

Answer:

25 servings

Step-by-step explanation:

to fill one cup, 5 servings would have to be, um... served.

for 5 cups, it would have to be 5 cups in each of the 5 cups, so 5 * 5, which makes 25 servings

(p.s., pls mark me brainliest, and have a great day!)

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