. Eight years ago, Rudi thought that he was making a sound investment by buying $1000 worth of Pro Sports Management stock. Unfortunately, his investment depreciated steadily, losing 15% of its value each year. a. What is the multiplier? b. Write a function using f(t) to describe the situation. c. How much is the stock worth now?

Answers

Answer 1

Answer:

a. 0.85

b. [tex]f(t) =1000(0.85)^t[/tex]

c. $272.49

Step-by-step explanation:

Given that:

Initial investment made, 8 years ago = $1000

Depreciation value each year = 15%

To find:

a. Multiplier

b. Function [tex]f(t)[/tex] to describe the situation.

c. Worth of stock now.

Solution:

a. Depreciation of 15% means the value becomes (100 - 15) % = 85% or 0.85 of the actual value.

Therefore, the multiplier is 0.85.

b.

Every year the value becomes 0.85 times of the actual value.

If it continues for [tex]t[/tex] years, then the values will be:

[tex]f(t) =1000(0.85)^t[/tex]

c. Let us put [tex]t=8 \ years[/tex] to find the worth of stock now.

[tex]\Rightarrow f(8) =1000(0.85)^8\\\Rightarrow \bold{\$272.49}[/tex]

So, the answers are:

a. 0.85

b. [tex]f(t) =1000(0.85)^t[/tex]

c. $272.49


Related Questions

expand the logarithmic expression In(3e^2)

Answers

Answer:

In (3) + 2

Step-by-step explanation:

Expand the logarithmic expression: ln(3e^2)

Multiply --> add logs

ln(3e^2) = ln(3) + ln(e^2)

= ln(3) + 2

Simplify the expression.
2x3y + 7x3y – xy3

Answers

Answer:

9x3y - xy3

Step-by-step Explanation

help me answer this question in the picture :)))

Answers

Answer:

x = 15p

-75

Explanation:

remove brackets:

4px + 4 = 64

solving for x --> 4px = 64 - 4 then--> 4px = 60

then diving both sides by 4p --> x = 60\4p --> x = 15p

now solving for x when p is -5

we will substitute the -5 in the equation we got --> x= 15 (-5)

which will give us --> x = -75

4(px + 1) = 64
The value of x in terms with p is: 3.
The value of x when p is -5 is: -3

Explanation: 64 divided by 4 equals to 16. So whatever p and x are has to equal to 15 (because there’s a +1). So it’s naturally be 5 times 3 which is 15. P standing for 5 and x standing for 3. The first one just asks what x is, and it’s 3. And the second one asks what x would be if it was -5 instead of 5. So naturally it would be -3 because a negative times a negative is a positive and the answer we have is a positive. The first answer is 3 and the second is -3.

Juan read 300 pages in 5 days and Jose read 150 pages in 3 days are these reading rates equivalent

Answers

Answer:

No, they aren't equivalent.

Step-by-step explanation:

First divide 300 by 5 to figure out how many pages he read in each day.

That would be 60 pages each day.

Then, divide 150 by 3.

That would be 50.

Since 60 ≠ 50, the reading rates are not equivalent.

Hope I helped :)

Answer:

No.

Explanation:

If you divide 300 by 5, you get Juan's reading rate which is 60 pages per day. If you divide 150 by 3, you get Jose's reading rate which is 50 pages per day. Their reading rates are not equal.

what is the equation of the line in standard form through each point? (3,1) & perpendicular to -4c + y - 1= 0

Answers

c = 1/4 y + -1/4 is the answer
You already got the answer to late

If the Weight of Candy Is proportional to the price and 12 ounces of candy is $3.00,dollars how much is 20 ounces of candy?

Answers

Answer:

$5.00

Step-by-step explanation:

if you divide $3.00 by 12 you get $0.25 which is what your paying per ounce so all you would have to do once you get how much your paying per ounce is multiply your per ounce number ($0.25) by your total amount of ounces (20) and you then get your answer $5.00. Hope this makes sense!

China is starting private basketball lessons. She has to pay a $25 registration fee and an additional $10 per session. If she has
saved $205, how many training sessions can she attend?

Answers

18 sessions

10x + 25 = 205

9−7x=16 its a two step equation

Answers

Answer: -1

Step-by-step explanation:

1. Subtract 9 on both sides.

That would make -7x=7

2. Then divide both sides by 7.

You get -1 (7/-7 equals -1).

I really hope this helped:) can you pls make me branliestttt

3.4z + 6.3 = -1.7z + 41.7

What’s z?

Answers

Answer:

z = 6.94

Step-by-step explanation:

3.4z + 6.3 = -1.7z + 41.7

5.1z = 35.4

z = 6.94

Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 5 grams were from whole grains. Did Osvoldo meet his goal? Why?..

Answers

Answer:

Answer: Osvoldo did not meet his goal.

Step-by-step explanation:

Total carbohydrate ate by Osvoldo = 220 g

carbohydrate from grains = 55 g

Percentage of carbohydrate of grain is

\begin{gathered}=\dfrac{\text { carbohydrate taken from grains}}{\text {Total carbohydrate}} \times 100\\\\= \dfrac{55}{220} \times 100= 25 \%\end{gathered}

=

Total carbohydrate

carbohydrate taken from grains

×100

=

220

55

×100=25%

Goal of getting carbohydrate from grains = at least 30%

but he ate only 25% of carbohydrate

Hence, Osvoldo did not meet his goal as he ate less carbohydrate than his goal.

SOLVE 3 AND 4 I WILL GIVE BRAINLIST!!

Answers

Answer:

3. C≈31.42

4.C≈94.25

Step-by-step explanation:

10 ÷ 2 =5

C=2πr

c=2 (3.14) 5

c= 2(3.14)15


Yolanda bought some books. She spent a total of $45 after a discount of $6 off of her total purchase. Each book cost $3. How many books did she buy?

Answers

Answer:

ignore sorry need brainly answers

Step-by-step explanation:

Answer:

Yolanda bought 17 books.

Step-by-step explanation:

$45 + $6 = $51

$51 ÷ $3 = 17 books

You're welcome!

im confused someone help :(

Answers

Answer:

Step-by-step explanation

Which shows sets to which the number
on the number line belongs

Answers

Integer,Irrational is the answer
Irrational integer on number line belongs to on the set of numbers

What is the range of the set of ordered pairs below? {(2, 3),(0, 6),(- 2, 9),(4, 0)}​

Answers

Answer:

{3,6,9,0}

Step-by-step explanation:

The range is the set of all second elements of ordered pairs (y-coordinates).

I'm building my first gaming pc, got any tips.

Answers

Answer:

A good graphics card.

Step-by-step explanation:

Answer: Most games are cpu based so get a good cpu. Also, too much rgb is not good, you need to spend more on your power supply than your rgb.

Step-by-step explanation:

please someone help me

Answers

Answer:

c = 116

Step-by-step explanation:

c and 64 are same- side interior angles and supplementary, thus

c + 64 = 180 ( subtract 64 from both sides )

c = 116

What is 3y-5=6-4x in standard form

Answers

3y - 5 = 6 - 4x

Standard Form:
4x + 3y = 11

Answer the following above:

Answers

Answer:

-3.1

Step-by-step explanation:

Just divide -15.5 by 5.

-15.5/5 is -3.1. C’est trop simple!

Find the mode and the mean of the following set showing number of hours of operating life 25 flashlight batteries:20, 21, 19, 22 , 18 , 23 , 25 , 22 , 23 , 20 , 23 , 20 , 22 , 21 , 24 , 21, 22 , 23 , 19, 21, 22 , 22 , 24 , 26 , 22.

Answers

Answer:

mode: 22

mean: 21

Step-by-step explanation:

For mode, look for the number that occurs the most (22). I remember this because MODE kinda sounds like MOST. Remember that the mean is just another word for average. I remember this because I think its MEAN that they'd make another word for average, although the term average is way easier to remember. So, add all numbers (525) and divide them by 25.

525 divided by 25= 21

(it might be safe to double check my work)

The mean of the set showing number of hours of operating life 25 flashlight batteries is, 21.8

The mode of the set showing number of hours of operating life 25 flashlight batteries is, 22

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The set showing number of hours of operating life 25 flashlight batteries is,

⇒ 20, 21, 19, 22 , 18 , 23 , 25 , 22 , 23 , 20 , 23 , 20 , 22 , 21 , 24 , 21, 22 , 23 , 19, 21, 22 , 22 , 24 , 26 , 22.

Now, We can arrange the numbers in ascending order as;

⇒ 18, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 26

Thus, The mean of the set is,

⇒ Mean = 18 + 19 + 19 + 20 + 20 + 20 + 21 + 21 + 21 + 21 + 22 + 22 + 22 + 22 + 22 + 22 + 22 + 23 + 23 + 23 + 23 + 24 + 24 + 25 + 26 / 25

⇒ Mean = 545 / 25

⇒ Mean = 21.8

And, The mode of the data set is the most often number in data set.

Hence, The mode of the set = 22

Learn more about the addition visit:

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I WILL GOVE YOU BRAINLIEST IF CORRECT YOU HAVE TO EXPLAIN WHY IT IS THO

Answers

Answer:

G

Step-by-step explanation:

If you do a common denominator of 30 for all of them

F would be 10/30

g would be 8/30

h would be 24/30

and j is obviously 14/30

It’s G it’s G it’s G It’s G

i need answers to b and c ASAP this i due tomorrow please label which is b and c

Answers

Part B: Answer - $150

First, we have to find the t value in Jumel’s equation that will get him $75. So our equation is 75=60+0.05t. Then solve for your t value (subtract 60 from each side, divide by 0.05). You should get 300 as your t value. After this, just plug 300 into Ashley’s equation to find the cost. Your answer should be $150

Part C: Because both the equations are linear, both plans will cost the same at the point of intersection on a graph. This is where a certain t value for equation will produce the same c value, or cost

(NEED HELP WILL MARK BRAINLIEST)
1. Which of the following is TRUE?

A. The Protestant Reformation began in Wittenberg, Germany.
B. Spain lost its empire trying to oppose the Protestant Reformation.
C. The Protestant Reformation led to widespread economic, intellectual, political, and
religious turmoil.
D. All of the above

Answers

Answer:

All of the above

Step-by-step explanation:

Also, this is a history, not a maths problem

hot dogs are sold in packages of 8, and hot dog buns are sold in packages of 12. what is the smallest number of each
that could be purchased so that the customer has the same number of hot dogs and buns?

Answers

Answer:

2 packs of buns and 3 packs of hot dogs

Step-by-step explanation:

multiples:

      8: 8, 16, 24

packs: 1, 2, 3

   12: 12, 24, 36

packs: 1, 2, 3

8x-3y=3
2x+y=-15

solve by eliminaion.

Answers

8x - 3y = 3 -> y = 8/3x - 1
2x + y = -15 -> y = 2x - 15

Let n be equal to 156% of 70. Which of the following proportions is true?

Answers

Answer:

156/100=n/70

Step-by-step explanation:

1.56/70=109.2

156/100=1.56

109.2/70=1.56

as far as im concerned 1.56 and 1.56 is equal lol

The true property is (156/100) = (n/70).

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Given that n is equal to 156% of 70

n=156% of 70

n=156% × 70

n= (156/100) × 70

(n/70) = (156/100)

Or, (156/100) = (n/70)

Hence, the true property is (156/100) = (n/70).

Learn more on percentages here:

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The complete question is:

Let n be equal to 156% of 70. Which of the following proportions is true?

A. (70/100) = (165/n)

B. (156/70) = (n/100)

C. (100/70) = (165/n)

D. (156/100) = (n/70)

What is x when f(x)=0?

Answers

x = 0

Anything multiplied my 0 is indeed, 0. So f • 0 = 0.

Hope this helps! :D

Since there are 36 inches in one yard, how many inches are in 3 7/8 yards?

Answers

Answer:

I got 31.5

Step-by-step explanation:

7/8×36=31.5

In the 2011 New York City Marathon, 29,867 men finished the race, and 16,928 women finished the race. Each finisher was given a t-shirt. About how many men's shirts were given away? About how many women's shirts were given away? Explain how you found your answers.

Answers

Answer:

About 30000 men

About 17000 women

Step-by-step explanation:

This question has to deal with approximation.

We have:

[tex]Men = 29867[/tex]

[tex]Women =16928[/tex]

To get the required answer, we have to approximate the given parameters.

For men, we have:

[tex]Men = 29867[/tex]

[tex]Men =30000[/tex]  -- Approximated

For women, we have:

[tex]Women =16928[/tex]

[tex]Women = 17000[/tex] -- Approximated

This implies that about 30000 men and 17000 men received the t shirts

Which is the endpoint of a ray?
Opoint R
O points
Opoint T
O point U

Answers

Answer:

B-

point s

Step-by-step explanation:

I just did the quiz, this is the correct answer

Point S is the endpoint of the rays.

Option B is the correct answer.

What is a ray?

In geometry, a ray is a straight line that starts from a specific point (called the endpoint) and extends infinitely in one direction.

A ray can be thought of as a part of a line that has one endpoint and continues indefinitely in one direction.

We have,

A ray is a line that starts from a specific point and extends infinitely in one direction.

The starting point of the ray is called the endpoint, and the other end of the ray extends indefinitely.

Therefore, a ray does not have an endpoint in the direction it extends, but only at its starting point.

From the figure,

The ray SR, SU, and ST have one common starting point.

i.e Point S.

Thus,

Point S is the endpoint of the rays.

Learn more about rays here:

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