The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the
baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each
year'?
1 4.5%
2 45%
3 95.5%
4 145%

Answers

Answer 1

The Percentage increase in the purchase price each year is 4.5%.

The given function is:

[tex]V(t)=P(1.045)^t[/tex]

Where P is the purchase price of the baseball card and t is the time.

What is a function?

A function is a rule that establishes a relation between two variables.

[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]

[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]

Percentage increase in the purchase price each year

=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]

[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]

[tex]=4.5%[/tex]%

Hence, the Percentage increase in the purchase price each year is 4.5%.

To get more about functions visit:

https://brainly.com/question/2833285


Related Questions

Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.

Answers

Answer:

25 minutes

Step-by-step explanation:

let x represent total time when both containers to have the same amount of water.

the equation to represent container A = 200 + 6x

the equation to represent container B = 500 - 6x

Because both containers would have the same amount of water,  the two equations would be equal to each other

200 + 6x = 500 - 6x

collect like terms

12x = 300

x = 300/12

x = 25 minutes

Need help fast!!!
Use the number line to compare the numbers.
Drag and drop the numbers to place them in increasing order.

Answers

Answer:

the sequence of numbers starting left to right is: -2 -1.6 -1 -1/6 0 3/7 0.6 1 2  

Step-by-step explanation:

Answer:

Ok so -1.6 goes in between -2 and -1.  Then -1/6 goes in between -1 and 0. Then 0.6 goes between 0 and 1. And last 3/7 goes between 1 and 2. 

Step-by-step explanation:

hope this helps you :)

What is the equation of the line?

Answers

Answer:

y = 4

Step-by-step explanation:

Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).

Answers

Answer:

0.068% or 6.8% this will be your final answer

Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69​% of the album is​ empty, how many pages are filled with compact discs​?

Answers

Answer:

41

Step-by-step explanation:

each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.

If the same textbook is in a lower shelf that is o.75 m above the floor. What is its potential now?

Answers

Answer:

PE = 51.45 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8m/s^2)(0.75 m)

= 51.45 Joules

2 * blank equals 6.5​

Answers

Answer:

3.25 or 3 and 1/4

Step-by-step explanation:

The algebraic equation is 2x = 6.5.

Divide by 2 to get your answer.

6.5 divided by two is 3.25.

x = 3.25

Answer:

3.25

Step-by-step explanation:

just take away the 25 and multiply it that way

Plz give me brainllest

there are two holes in the roof that are leaking water. the one in the bathroom drift 120 drops in an hour. the other one in the kitchen dripped 80 drops in 30 minutes. which one is leaking more water?​

Answers

Answer:

the more leaking place is the bathroom

Explanation:

1 hour=60 minutes

   the bathroom drift 120 drops in 60 minutes

so, the bathroom drift 1 drop in 120/60 minutes

                                                    =60 minutes

    the other one in the kitchen dripped 80 drops in 30 minutes.

so, the other one in the kitchen dripped 1 drop in 80/30 minutes

                                                                                   = 8/3 minutes

                                                                                 

so the more leaking place is the bathroom because 60 > 8/3

please mark as brainliest

what goes in the highlighted box?

Answers

Answer: 11y

Step-by-step explanation:

When you add 6y and 5y that equals 11y <3

Answer:

11Y goes in the highlighted section.

Step-by-step explanation:

Since the Xs was crossed out you don't have to worry about the X going tin the highlighted area.

Then add the Ys together.

I can't really explain anymore, but i hope this helps!!!!

Then your final answer would be y=6. :)

can you help me pleaseeeeee​

Answers

a. 11

b. 48

c. 27

Hope this helped \( ̄︶ ̄*\))

11 48 27 are the answers

Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.

Answers

Answer:

3rd Answer =Option A is the Correct Answer

Step-by-step explanation:

Hi!

3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.

4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.

Hope this helps! I would appreciate brainliest, if not that's okay!!

what is the simplified fractional equivalent of the terminating decimal 0.78?

Answers

Answer: 39/50

Step-by-step explanation: the answer is 39/50

Answer:

the answer is 39/50

Step-by-step explanation:

thank you

Kevin is painting a border around his dining room. What measurement does Kevin need to know about the wall before he starts?
1: Area
2: Volume
3:Perimeter

Answers

Answer:

Perimeter

Step-by-step explanation:

Perimeter is the distance around an object. In this scenario the object in question would be Kevin's dining room.  Keyword for perimeter here is around.

Perimeter

This is because Perimeter is the amount around the space and everything

1. Find the area of the parallelogram.

What is the area?

Answers

67.5in is the answer

Answer:

67.5[tex]in^{2}[/tex]

Step-by-step explanation:

Area of a parallelogram is base x height

The base of the given parallelogram is 9 inches and the height is 7.5 inches

So, its area would be

9 x 7.5

Area equals [tex]67.5^{2}[/tex]

Erin is ordering a laptop computer. The computer costs $1,360.00, and there is a 6% sales tax.
What is the amount of sales tax Erin will owe for her computer?

Answers

Answer:

$81.6

Step-by-step explanation:

(1,360.00)(6%)=81.6

Can you pllllsssssss help meeeeee

Answers

Answer:

0

Step-by-step explanation:

find mean : 2+3+4+7 divided by 4 equals 4

subtaract mean from valuses: 2-4= -2 , 3-4= -1 , 4-4= 0 , 7-4= 3 ,

find mean with new numbers: -2+-1+3+0 divided by 4 equals 0 (everything cancels out)

PLZZZ HELP MEEEEE!!!!

Answers

Answer:

She would use the mean.

Step-by-step explanation:

Can anyone help? PLS I NEED THIS BY TOMORROW!!

Answers

Answer:5 or 5 degrees

Step-by-step explanation:

the box means 90 degree so if you divide 45 with 90 you get 2

2 divided by 10 = 5

Answer:

x = y = 10

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 10

Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then

x = y = 10

2017 - Q13
13 Tivo identical number cubes are shown in the picture. The edge length of these number cubes
is 3 centimeters.
What is the combined volume of the two number cubes in cubic centimeters?
A 54 cm
B 18 cm
C 9 cm
D 27 cm

Answers

Answer:

Combined volume of the two number cubes = 54 cm³

Step-by-step explanation:

Given:

Side of a cube = 3 centimeter

Number of cubes = 2

Find:

Combined volume of the two number cubes

Computation:

If we combine two cube new figure will be a cuboid.

Length of new cuboid = 3 + 3 = 6 cm

Height of new cuboid = 3 cm

Width of new cuboid = 3 cm

Volume of cuboid = (l)(b)(h)

Combined volume of the two number cubes = (6)(3)(3)

Combined volume of the two number cubes = 54 cm³

Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].

Answers

Answer:

Function g(x)

Step-by-step explanation:

Given

See attachment for functions

Required

Which has an average rate of 3 over [1,3]

The average rate of change (m) is calculated as:

[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]

Where:

[tex][a,b] = [1,3][/tex]

So, we have:

[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]

[tex]m = \frac{f(3) - f(1)}{2}[/tex]

From the table f(x), we have:

[tex]f(3) = 6\\ f(1) = -2[/tex]

So:

[tex]m = \frac{6 - -2}{2}[/tex]

[tex]m = \frac{8}{2}[/tex]

[tex]m =4[/tex]

From the graph of g(x), we have:

[tex]g(3) = 4\\ g(1) = -2[/tex]

So:

[tex]m = \frac{g(3) - g(1)}{2}[/tex]

[tex]m = \frac{4 - -2}{2}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

Since only one of the function has an average rate of change of 3 over the given interval,

Then g(x) answers the question

A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of rs 50 per box.He spent rs 40 on transportation.He sold the eggs at rs 12 per pair.Calculate his gain or loss%.

Answers

Given:

A  merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.

He spent Rs 40 on transportation.

He sold the eggs at rs 12 per pair.

To find:

The gain or loss percentage.

Solution:

The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:

[tex]12\times 50=600[/tex]

Number of eggs in 12 boxes is:

[tex]12\times 10=120[/tex]

He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:

[tex]600+40=640[/tex]

Cost of each egg is:

[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]

He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:

[tex]\dfrac{12}{2}=6[/tex]

We need to find the gain or loss percentage.

Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.

The gain percent is:

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]

[tex]Gain\%=12.5\%[/tex]

Therefore, the gain percent is 12.5%.

What is the slope of the line through (–5,2) and (6,7) in the standard (x,y) coordinate plane?

9
9

5
5

-5
-5

5
11
5 over 11


5
11

Answers

Step-by-step explanation:

[tex]slope = \frac{\triangle \: y}{\triangle \: x} \\ = \frac{(7 - 2)}{(6 - ( - 5))} \\ = \frac{5}{11} \\ slope = (5 ,11)[/tex]

David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.

Answers

Step-by-step explanation:

after he buys everything he has 170.83 ( total 340.17) 73.43 times x

Type the correct answer in each box. Use numerals instead of words. If necessary, useType the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows. / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows.

Answers

Answer:

m = x / n

n = 15

Step-by-step explanation:

Number of chairs per row = m

Number of rows = n

Number of people = x

Number of chairs per row, m = number of people, x / Number of rows, n

m = x / n

If number of attendees, x = 60 ;

Number of chairs per row, m = 4

The number of rows, n = number of attendees / number of chairs per row, m

Hence, n = 60 / 4 = 15 rows

20 POINTS

The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.

Answers

Answer:

B or C

Step-by-step explanation:

Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.

math help pls answer

Answers

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

what is the mean of the data? 24,31,12,38,12,15

Answers

Answer:

Hello Love! Answer: 22

Step-by-step explanation:

The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!

Find the area of the rectangle.
2X+3
X+1

Answers

Answer:

Doesn't seem like a rectangle but when you combine like terms you get 5x+1

sorry if it didn't help.

Step-by-step explanation:

Answer: 2x squared + 5x + 3
Explanation: 2x+3(x+1)
2x(x+1) +3 (x+1)
2x (squared) + 2x + 3x + 3

hope that helps if u have any questions let me know also are u sure that this is the full question because it doesn't really make sense like it doesn't give any measurements at all so you can't really find the area you can only simplify the equation??
if there is any more information about this question comment under this and i will solve it fully!!

The ages of customers at a store are normally distributed with a mean of 45 years and a standard deviation of 13.8 years.
(a) What is the z-score for a customer that just turned 25 years old? Round to the nearest hundredth.
(b) Give an example of a customer age with a corresponding z-score greater than 2. Justify your answer.
Best answer gets brainliest!

Answers

The Standard Normal distribution follows a normal distribution and has mean 0 and ... z = s. Example. Find the z-score corresponding to a raw score of 132 from a ... be less than a given value, greater than a given value, or in between two values. ... P(z < 2.37). Solution. We use the table.

a cat is stuck on the root. if the ladder is 16 feet long and must be placed six feet away from the building. how high can the ladder reach up the building to help save the cat

Answers

Step-by-step explanation:

a^2 + b^2 = c^2

height + 6^2 = 16^2

height = 14.83

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