Investment a starts with $1000 and increases its value by $80 each week. Investment b starts with $2000 and loses $50 of its value each week.After how many weeks will the two investments have the same value?

Answers

Answer 1

Answer:

33.3 weeks

Step-by-step explanation:

Let us represent number of weeks = w

Investment a starts with $1000 and increases its value by $80 each week.

$1000 + $80 × w

1000 + 80w

Investment b starts with $2000 and loses $50 of its value each week.

$2000 - $50 × w

2000 - 50w

After how many weeks will the two investments have the same value?

1000 + 80w = 2000 - 50w

Collect like terms

80w + 50w = 2000 - 1000

130w = 1000

w = 1000/30

w = 33.333333333 weeks

Approximately

After 33. 3 weeks, the Investment will have the same value


Related Questions

If f (x) = 8(5x-2) find f -1 (x).

Answers

Step-by-step explanation:

f(x)=8(5x-2)

interchanging the role of x&y

x=8(5y-2)

x=40y-16x+16=401yy=(x+16)/40

f-1(x)=(x+16)/10

stay safe healthy and happy.

The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be  [tex]f^{-1}(x)[/tex] =(x + 16)/40.

What is the inverse of a function?

A function's inverse can be thought of as a reverse of the function.

For instance, if y = f(x), then x = f will be the inverse (y).

It implies that we must swap x and y in the inverse function.

As per the given,

f(x)=8(5x-2)

Interchange the variable y and x as,

⇒ x = 8(5y - 2)

⇒ x+16=401y

⇒ y = (x+16)/40

Put y =  [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)[/tex] =(x + 16)/40

Hence "The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be  [tex]f^{-1}(x)[/tex] =(x + 16)/40".

For more information about the inverse of a function,

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HI could some one pleaseeee HELP ME !!!

Answers

Answer:

The answer is 48

Step-by-step explanation:

Substrac 180-132 and that's the answer

what value of x makes this equation true? 3x - 20 = -2x

Answers

Answer:

x = 4

Step-by-step explanation:

3x - 20 = -2x

Add 2x to both sides.

5x - 20 = 0

Add 20 to both sides.

5x = 20

Divide both sides by 5.

x = 4

Answer:

X = 4

Step-by-step explanation:

Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad. What percentage of the apples are bad? Round your answer to the nearest number. whats the correct formula for it?

Answers

Answer:

25%

Step-by-step explanation:

Since there are 24 apples, and 6 are bad, to find the percentage of the bad apples, you do bad apples/total apples

6/24=.25

0.25 is 25%

Find the 35th term 12,20,28,

Answers

Answer:

284

Step-by-step explanation:

Bab needs help please ☹️

Answers

Answer:the area is 28.27

Step-by-step explanation:

im just that good

Find the area of triangle ABC.

Answers

Answer:

ans no b if you will apply the formula

Step-by-step explanation:

i think it's no b

Answer:

222.33 ft^2

Step-by-step explanation:

The formula to find the area of a triangle with two sides and an included angle is:

A=[tex]\frac{1}{2}[/tex]absin(C),

where a and b are the two sides and C is the angle in between.

Area=[tex]\frac{1}{2}[/tex]*32*19*sin(47)≈222.33

222.33 ft^3

students will randomly select a tile from a bag containing one red, one yellow, one blue and one green tile. and then roll a cube with faces numbered 1 through 6.

what is the probability that a student
A. draws a red or yellow tile and
B. rolls a number between 1 and 3.

answer as a percentage, to the nearest percent.

thanks for any help available!​

Answers

Answer: 25 PERCENT

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

There are 4 colors, probability of red or yellow:

P(red or yellow) = 2*1/4 = 1/2

And a cube faces 1 to 3:

P(1 to 3) = 3*1/6 = 1/2

Probability of the two events above:

1/2*1/2 = 1/4 = 25%

Please helpp

Extra points and brainleist

Answers

Answer:

D

(x+3)^2=4(x+3)(x+3)=4x^2+3x+3x+9=4x^2+6x+9=4x^2+6x=4-9x^2+6x=-5x^2+6x+5=0

Solve for x. For your answer,

Answers

Answer:

17

Step-by-step explanation:

2x + 5 + 3x + 90 = 180, 5x=85, x=17

Can someone help me with this 4 - 3m > -5

Answers

Answer: M < -3

.................................................

Step-by-step explanation:

4 - 3m > -5

4 - 3m > (-4 -5)

3m > -9

(3/3)m > (-9/3)

m<-3

Can someone help me with this

Answers

B! 18 over 36 is equivalent to 1/2 because they’re both half’s.

On a number line, 6.26 would be located... choose all answers that make a true statement

A) between 6.25 and 6.27
B) to the right of 6.24
C) between 6.2 and 6.3
D) to the left of 6.21

Answers

Answer: A

Step-by-step explanation:

nwkwnajnana

Solve: 4(3x - 2) = 8(x - 8)


Giving 10 points for correct answer !!!

Answers

Answer:

12x-8 ______

Step-by-step explanation:

The second bit, I have no clue. But the first is just simplifying in algebra.

4(3x-2)=8(x-8)
12x-8=8x-8
12x-8x-8= 8x-8x-8
3x-8= -8
3x-8+8= -8+8
3x= 0
3x/3=0/3
x = 0

any solution

Anthony is going to invest in an account paying an interest rate of 7%
compounded continuously. How much would Anthony need to invest,
to the nearest cent, for the value of the account to reach $238,000 in
13 years?

Answers

Answer:

95800.77

Step-by-step explanation:

Answer:

95800.77

Step-by-step explanation:

use Pythagorean theorem to find right triangle side le
Find the value of 2 in the triangle shown below.

Answers

The answer should be 10 but it is not in the choices
Ok, so the Pythagorean theorem is a^2 + b^2= x^2

I think it would be A

Help please I need this

Answers

Answer

y=1/3x+1

Step-by-step explanation:

to be perpendicular, the slope has to be the opposite reciprocal

Awnser and show your work <3

Answers

Answer:

Team A: 25 players

Team B: 24 players

Step-by-step explanation:

Team A:

to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

[tex]\frac{5}{x} = \frac{1}{5}[/tex]

then we cross multiply to get

x*1 = 5*5

x=25 players

Team B

similarly to Team A

[tex]\frac{3}{x} = \frac{1}{8}[/tex]

cross multiply to get

x*1=3*8

x= 24 players

What is the answer to this geometry question?

Answers

Answer:

88cm^3

Step-by-step explanation:

The volume of a pyramid is the base times height divided by 3. First, we can find the area of the base. We have a right triangle with a base of 8 and a height of 6. The area of a triangle is the base times height divided by 2. This gives us:

8 * 6 ÷ 2 = 24cm^2

We can see that 11cm is the height as it is perpendicular to the base. We can set up an expression from the formula mentioned at the beginning:

11 * 24 ÷ 3 = 88cm^3

88cm I think have a great day

3. Solve: 3(x + 3) > 4(x - 4) A. x > 25 B. x < 25 C. X > - 7 D. x < -7
explain​

Answers

Answer:

B.x<25

Step-by-step explanation:

Let's solve your inequality step-by-step.

3(x+3)>4(x−4)

Step 1: Simplify both sides of the inequality.

3x+9>4x−16

Step 2: Subtract 4x from both sides.

3x+9−4x>4x−16−4x

−x+9>−16

Step 3: Subtract 9 from both sides.

−x+9−9>−16−9

−x>−25

Step 4: Divide both sides by -1.

−x/ −1 > −25/ −1

x<25

Answer:

x<25

Find an equivalent expression for parts (a) and (b).
a. 2x + 10x

b. 2(x – 4) + x

DO NOT GIVE ME A LINK TO THE ANSWER

Answers

Answer:

Step-by-step explanation:

a) 8x + 4x

b) 3x -8

I NEED HELP ASAP IM TRYING TO STUDY FOR MY STAAR TEST TOMORROW *NO LINKS ALLOWED*

Answers

The answer is B- the other one would be 25y=x

Answer:

C

Step-by-step explanation:

equations for each:

A)  y - x = 25

B)  y = 25x

C)  x = 25y

D)  y = 25 + x

If f(x) = x2 - x, what is f(-3)?

Answers

Answer:

Step-by-step explanation:

Putting value of x = - 3 in the equation

f(x) = x2 - x

f(-3) = (-3)^2 - (-3)

= - 9 + 3

= - 6

please do this asap, i am in a really quick need, just type the answer, process is not required, i got -27, and i am pretty sure about this being wrong

Answers

Answer:

The answer is 3

Step-by-step explanation:

I need help finding the missing value to this equation

-4x - y = 24

(__, 8)

Answers

Answer:

x=-8

Step-by-step explanation:

-4x-(8)=24

     +8=+8

-4/-4x=32/-4

x=-8

PLSSSSSSSSSSS ANSWER FASSTTT!!!!!!

Answers

Answer:

the only solution is 0

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2(x+3)=2x+6

Multiply 2 with the numbers in the parenthesis

2x+6=2x+6

Which number is included in the set of integers that when added to 24 gives a sum of less than zero? Select all that apply.


7

-2


4


3


0


9

Answers

Answer:

immma send you the link friend me on hereStep-by-step explanation:

A cow is tethered with a rope 20 m long. What is the maximum area the cow can graze? with a decimal

Answers

1256.64

The rope is the radius and you just use the area of circle

please help me I’m begging you :)

Answers

Answer:

4

Step-by-step explanation:

4 is the answer to your problem, so yeah

A spinner has 4 equal sections. After spinning the spinner 15 times, the results are recorded in a table. Which of the given statements is true?


A. The theoretical probability of landing on violet is 1/3.
B. The experimental probability of landing on red is 1/5.
C. The experimental probability of landing on yellow is 1.
D. The theoretical probability of landing on orange is 1/5.

Answers

A is correct because there is a 1/3 chance of landing in violet pls make me the brainliest

The true statement would be A. The theoretical probability of landing on violet is 1/3.

What is theoretical probability?

Probability which is derived theoretically, irrespective of what outcome comes, is called theoretical probability.

Probability which is based on the outcomes of experiments performed is called experimental probability.

Suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events that belong to E, and total cases are the size of the sample space.

A spinner has 4 equal sections. After spinning the spinner 15 times, the results are recorded in a table.

The true statement would be A. The theoretical probability of landing on violet is 1/3.

Learn more about experimental and theoretical probabilities here:

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