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

Tina bought a car for $5000. After owning the car for a year, it had a depreciation of 15%.
a) How much is the car worth now?
b) How much did the cardecrease in value?

Answers

Answer:

The car is worth $4250 now and it decreased by $750

Step-by-step explanation:

5000* .85 is 4250

Please help on this!

Answers

Answer:

18cm,21cm,27cm

Step-by-step explanation:

explanation in picture

trigonometry please help! work need to be shown

Answers

Answer:

x = 5.56

Step-by-step explanation:

Apply trigonometric function to find x

Reference angle = 46°

Hypotenuse = 8

Adjacent length = x

Apply CAH:

Cos 46 = Adj/Hyp

Cos 46 = x/8

8 × Cos 46 = x

5.55726696 = x

x = 5.56 (nearest hundredth)

270 divided by 4
PLEASE HELP ASAP​

Answers

Answer:

67.5

Step-by-step explanation:

Answer: Divide the 2 numbers

Answer:

the answer is 67.5

Step-by-step explanation:

270/4=67.5

Can someone please answer this for me it's for a homework assignment.

Answers

Slope as an (improper fraction)-9/7, it can’t be simplified

Find the square root for y=-2(x-5)(x+7)?

Answers

12 I think I’m not sure just a guess

Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20​

Answers

Answer:

x=5

Step-by-step explanation:

3 = 12/4

x = 20/4

x = 5

The school is having a bake sale, Chocolate cookies cost $.20 each and oatmeal cookies cost $.25 each. Sue bought 13 cookies, some chocolate and some oatmeal, She spent$2.90, Find out how many of each kind of cookie Sue bought.

Answers

Answer:

7 chocolate and 6 oatmeal

Step-by-step explanation:

if i did it right that should be it

I just did it 7 chocolates and 6 oatmeal cookies

Parallel/Perpendicular/Neither?*

Answers

Answer:

i think it might be A

Step-by-step explanation:

Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?

Answers

Answer: Carlos does not have enough wires by 0.1 meters

Step-by-step explanation:

To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.

= 0.9 + 0.9 + 0.9

= 2.7 meters

Carlos has 2.6 meters of wire but needs 2.7 meters.  

Carlos therefore, does not have enough wires.

The volume of a cube is 125 cubic centimeters. A rectangular prsim with three different whole-numbers dimensions has the same volume. What are the dimensions of the rectangular prism?

Answers

Answer:

1 cm , 5 cm, 25 cm

Step-by-step explanation:

125 = 5 x 5 x 5 = 1 x 5 x 25

Would someone mind explaining the Point-Slope form to me? My virtual teacher kind of brushed over it and I am a little confused as to how I should copy it down in my notes so I understand.

Answers

Answer:

This picture kind of sums it up

Step-by-step explanation:

A student mistakenly writes the following in his notes: log2a+log2b=log2(a+b) . However, after substituting the values for a and b in a problem, he still gets the right answer. If the value of a is 11, what must be the value of b ? Round your answer to nearest tenth if necessary.

Answers

Answer:

b=11/10

Step-by-step explanation:

plug in 11 for "a" and solve for "b"

I need to know the answer to the question

Answers

Answer:

X=4

Step-by-step explanation:

Answer and Step-by-step explanation:

To get x, we need to put everything on the right. We start off by multiplying each side by 3.

3 × [tex](\frac{7+2x}{3} ) =[/tex] 5 × 3

7 + 2x = 15

Now, we subtract 7 from each side.

(7 + 2x) - 7 = 15 - 7

2x = 8

Finally, we divide each side by 2.

2x ÷ 2 = 8 ÷ 2

x = 4

The answer to this equation is x = 4.

I hope this helps!

A thanks and 5 stars + brainliests are appreciated, but I help to help!

#teamtrees #PAW (Plant And Water)

help ineed help its just too much too count im so confused #screwfortnite

Answers

Answer:

7 X 10

Step-by-step explanation:

because up and down there are 7 and left to right there are 10

Answer:

7 X 10

Step-by-step explanation:

All you have to do is count how many rows there are (just count the vertical line down the side) and you get your first term 7. Then count how many columns (just count the top row) and you get your second term 10. This is a 7 by 10 array, which means there are 70 flowers in total.

Please help!! Did he graph the equation correctly?

Answers

NO HE DIDNT GRAPH IT CORRECTLY

Help me out !! I’ll appreciate it !!

Answers

I would go with 1/2.

In the accompanying diagram, the legs of right angle triangle abc are 4 and 3 the hypotenuse is 5 what is the value of tan a

Answers

can you please explain a little more i’m not fully understanding

Answer:3/5

Step-by-step explanation:

Expand the expression 8(x-7)

Answers

Answer:

ig it Will be 8x-56 becoz 8 multiplies x and 7 and we get 8x-56

Answer:

8x-56

Step-by-step explanation:

just distribute the 8 to both values in the parentheses:)

Find the 60th term of the arithmetic sequence -27, -24, -21

Answers

Answer:
The 60th term would be 150.

image down below plz and thx answer first and ill give you brailiest

Answers

I think it’s C hope it’s right

Two angles are same side interior angles between two parallel lines. One angle is 30° more than one half the other angle. What is the measure of the smaller angle?

Answers

Answer:

284

Step-by-step explanation:

As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store.

Answers

The question is incomplete:

As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store. Let x represent the number of televisions and y represent the number of projection systems sold in a given day. Write a system of inequalities that describes what is necessary to obtain the stores goal.

Answer:

The system of inequalities that describes what is necessary to obtain the stores goal is:

x+y≤25

475x+360y≥7600

Step-by-step explanation:

According to the information provided, you know that the owner never has more than 25 items total in the store which means that the sum of the amount of televisions and projection systems is less than or equal to 25, which can be expressed as:

x+y≤25, where:

x is the number of televisions

y is the number of projection systems

Also, the statement indicates that the price per television is $475 and the price per projection system is $360 and that the store looks to sell at least $7600 worth of televisions and projection systems per day. This means that the result of adding up the sales of televisions and projection systems should be greater than or equal to 7600:

475x+360y≥7600

The answer is that the system of inequalities that describes what is necessary to obtain the stores goal is:

x+y≤25

475x+360y≥7600

If ABCD \cong≅ EFGH, select the answer choice that has the correct tick marks for corresponding sides

Answers

Answer:

AB and EF;

BC and FG;

CD and GH;

DA and HE

Step-by-step explanation:

Given

[tex]ABCD \cong EFGH[/tex]

Required

Select correct option for corresponding sides

No options were given. So, I will just list out the corresponding sides.

[tex]ABCD \cong EFGH[/tex] implies that:

[tex]A \cong E[/tex]

[tex]B \cong F[/tex]

[tex]C \cong G[/tex]

[tex]D \cong H[/tex]

So, the corresponding sides are:

AB and EF; BC and FG; CD and GH; DA and HE

Caleb a organizado en si horario personal 6,5 horas de tiempo libre al día. Como desea ser un futbolista profesional, usa 6/13 de su tiempo libre para hacer ejercicios distintos para fortalecer su cuerpo, y el resto del tiempo libre juega fulbito con sus amigos de la comunidad. ¿Cuantas horas a la semana dedica Caleb para fortalecer su cuerpo y jugar fulbito?

Answers

Responder:

Fortalecimiento = 21 horas

Jugar al fútbol = 24,5 horas

Explicación paso a paso:

Número de horas diarias = 6. 5 horas

Fracción de fortalecimiento del tiempo: 6/13

Por lo tanto, el tiempo dedicado al fortalecimiento diario = 6/13 * 6.5 horas = 6/13 * 6.5 horas = 3 horas

Tiempo total dedicado a la semana =. 3 * 7 = 21 horas

Tiempo diario dedicado a jugar al fútbol = (6,5 - 3) = 3,5 horas

Tiempo total invertido por semana:

3,5 * 7 = 24,5 horas

need help will give brainliest​

Answers

area is base x height
8cm is the base , 8 cm is the height
8x8=64cm

could 13 15 and 19 be a right triangle

Answers

Answer:

No b/c the hypotenuse is too short

Step-by-step explanation:

13² + 15² = 19²

169 + 225 = 361

394 ≠ 361

Which statement is true about the prime polynomial 2x2 + 3x + 3?
ОО
It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.

Answers

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

The given expression 2x^2 + 3x +3 cannot be factored.

That means that it cannot be modeled with a rectangle.

So your answer is, It cannot be modeled with a rectangle.

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

Hope this helps

Please I need help with this

Answers

Answer:

1680.25

Step-by-step explanation:

HELP
What is an equation of the line that passes through the points (-6, 2) and (6, –2)?

Answers

Answer:

y=(-1/3)x

Step-by-step explanation:

y=mx+b

(x,y)

put in the first point into y=mx+b

2=m(-6)+b

then the second point is (6,-2)

put the point into y=mx+b

-2=6m+b

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

Put both equations in a system of equations

-2=6m+b

2=m(-6)+b

solve for m and b

-1/3=m and 0=b

so put that back into y=mx+b

y=(-1/3)x+0

so that is the only line that passes through both points

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