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:

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Related Questions

30% of the 90 students in sixth grade are in the drama club. How many sixth graders are in the drama club?

Answers

Answer: 27 kids.
Explanation: Multiply 30%, or 0.3, by 90. That will find your answer. Hope this helps!

Answer:

27

Step-by-step explanation:

Multiply 90 by 0.3 and you have your answer

answer choices for number one:

x<4
x>4
x<0
x<-4

answer choices for number two:

x<-3
x>-3
x<9
x>9

Answers

Answer:

Question 1. x>4

Question 2.  x<9

Phoebe has 72 roses that she is putting into 5 vases. If she puts the same number of roses in each vase, how many roses are left over?

Answers

Answer:

2 roses left over

Step-by-step explanation:

72/ 5 = 14.4

so we know for sure that we can put 14 roses on each vase  but no mor than 14 on each vase  Some will be  left left over

14x5 = 70

  72-70 = 2  (2 roses left over)

How do you solve this proof?

Answers

Answer:

1) Given

2) Isosceles triangle's 2 sides are equal. Vertex angle is M. So, ML = MN

3) Given

4) T divided LN into to equal parts.

5) Common

6) SSS

(6, - 3, 1) and (8,9,-11) find the angle between the vector​

Answers

Answer:

The angle between the two vectors is 84.813°.

Step-by-step explanation:

Statement is incomplete. Complete form is presented below:

Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors.

Let [tex]\vec u = \langle 6, -3, 1 \rangle[/tex] and [tex]\vec v = \langle 8,9,-11 \rangle[/tex], the angle between the two vectors is determined from definition of dot product:

[tex]\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex] (1)

Where:

[tex]\vec u[/tex], [tex]\vec v[/tex] - Vectors.

[tex]\|\vec u\|[/tex], [tex]\|\vec v\|[/tex] - Norms of each vector.

Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.

If we know that [tex]\vec u = \langle 6,-3,1 \rangle[/tex] and [tex]\vec v = \langle 8, 9,-11 \rangle[/tex], then the angle between the two vectors is:

[tex]\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right][/tex]

[tex]\theta \approx 84.813^{\circ}[/tex]

The angle between the two vectors is 84.813°.

A bag contains 96 marbles, some red and some green. The ratio of red marbles to green ones is
2:4. How many green marbles are there?

Answers

64 green marbles and there would be 32 red ones. 32:64 is the same ratio as 2:4.

3/5 pencils sold in the morning. 1/4 of the remainder in the afternoon. If 200 more pencils were sold in the morning than afternoon, how many pencils did they start with

Answers

Answer:

x = total pencils = 400 pencils

Step-by-step explanation:

Let

x = total pencils

Pencils sold in the morning = 3/5x

Remaining pencil = x - 3/5x

= 5x-3x/5

= 2/5x

Pencils sold in the afternoon = 1/4 of the remainder

= 1/4 * 2/5x

= 2/20x

= 1/10x

Pencils sold in the afternoon = 1/10x

3/5x + 200 = 1/10x

3/5x - 1/10x = 200

(6x-x)/10 = 200

5/10x = 200

1/2x = 200

x = 200 ÷ 1/2

= 200 × 2/1

x = 400 pencils

x = total pencils = 400 pencils

Please help, due soon. Find the length of each arc. Use exact answer

Answers

Answer:

C

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{285}{360}[/tex]

    = 2π × 18 × [tex]\frac{19}{24}[/tex]

    = 36π × [tex]\frac{19}{24}[/tex] ( cancel 36 and 24 by 12 )

    = 3π × [tex]\frac{19}{2}[/tex]

    = [tex]\frac{57\pi }{2}[/tex] → C

!!!!!!!PLEASE HELP I DNT UNDERSTAND!!!!!! WILL GIVE BRAINLYIEST

Answers

Answer:

11. 8/30

Step-by-step explanation:

add all the marbles

you get 30 marbles

then the probability of yellow being taken out is 8

A parallelogram has four angles that are the same measure. Is it a square?
Choose Yes or No to tell if the answer and explanation is correct.
Yes. Only squares have four angles that are the same measure.

Yes. It could be a square if all sides are also the same measure.

No. If the sides are not the same length, it is not a square.

No. The figure is a rhombus.

Answers

Answer:

Yes

Step-by-step explanation:

Yes. It could be a square if all sides are also the same measure.

A parallelogram will be a square when all four sides are of equal in length and all four angles are same.

A parallelogram is a quadrilateral with opposite sides parallel . A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.A square is a parallelogram when all four sides of parallelogram are same and all four angles are equal to 90 degree.

Learn more:

https://brainly.com/question/16702162

I need help I will give brainliest.

Answers

Answer:

C

Step-by-step explanation:

Answer: 12

Explanation: QT = x +4
Use proportions: x +4/ 4 = 9/3
Cross Multiply: 3(x+4) = 36
Solve 3x+12 = 36
x=8

Plug back into equation: 8 +4 = 12

A point at (-7, -6) is reflected over the x-axis. What is the distance between the point and its reflection?

6 units
7 units
12 units
14 units

Answers

Answer:

It Would be 14 units.

Step-by-step explanation:

Have a Great Day.

:)

Will accept Brainliest

What fraction of the square is the green triangle?

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

7/32

(btw thats the simplified version....look at the bottom for non-simplified if you didnt need it simplified)

Step-by-step explanation:

first count how many squares there are in total

its 8 by 8 so in total there are 64!

now there is the green triangle.....

count all the whole squares in it = 10

now count all the half squares (little triangles in it)= 8

Now if you put those little triangles together it would make one small unit square so it is 4 of all

10 + 4 = 14

So there is a Total of 14 unit squares in the green triangle

Fraction Time......

now lets take 14/64 and simplify it

that would be 7/32

We cant make it any more simplified now if you werent looking for the simplified version the your answser would be 14/64

I hope this was the answser you were looking for!! Mark Me Brainliest ;)


Do not give me any types of links.
Find the surface area of a sphere with radius 5 using the formula SA=4pir2
Leave answer in terms of n
A. 75 pi units squared
B. 100 pi units squared

Answers

Answer:

B. 100 pi units squared

Step-by-step explanation:

Find the surface area of a sphere with radius 5 using the formula SA=4pir²

Leave answer in terms of π = pi

From the question

The formula for the Surface Area if a square = 4 × pi × r²

r = 5

Hence,

Surface Area of a Sphere = 4 × pi × 5²

= 100 pi units squared

Option B is the correct option

Which of the following statement is false?​

Answers

Answer:

D.) rational numbers are associative under subtraction

Step-by-step explanation:

rational numbers are closed under subtraction

↳ TRUE

zero is the identity for addition of rational numbers

↳ TRUE

subtraction is the inverse of the addition

↳ TRUE

rational numbers are associative under subtraction

↳ FALSE

The rectangle ABCD is reflected across the y-axis. What are the
coordinates of the vertex A'?

Answers

The answer would be (-2,5), this is because when we reflect on the Y axis the Y stays the same and X changes and vise versa for the X axis. Then the amount of units away from the y axis is the amount of units more that it’s going to travel. Hope this helps

What value of x will make the equation below true?
7(4+x)=84

Answers

Answer:

x=8

Step-by-step explanation:

distribute 7(4+x)

28+7x=84

84-28=56

56/7=8

PLEASE NEED HELP FAST!!

Buying one item at regular price and buying a second identical item for 50% off is the same as buying both items for 25% off.
If the regular price of an item is x dollars, which equation illustrates this relationship?
O A x+0.5x = 2(0.25.x)
B. X-0.5.x = 2(0.25.x)
O C. 1-0.5x = 2(0.75.8)
D. X+0.5.x = 2(0.75.x)


Answers

Answer:

b

Step-by-step explanation:

Answer:

ok

Step-by-step explanation

part b

Solve 2 (x+3) = x - 4

Answers

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

2x-x=-6-4

x=-10

Please mark me brainliest if it helped

2(x+3)=x-4

2x+6=x-4

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

2x+6=x-4

2x+6=x-4-6

Subtract the numbers

2x=x-10

2x-x=x-10-x

Simplify

Combine like terms

Multiply by 1

Combine like terms

----->>> x= - 10

x equals -10

Can someone please help me

Answers

Answer: I'm not to sure about this question its kind of confusing.

Step-by-step explanation:

The model below has an area of 16 square units which expression represents the side length of the model in units /64 /4 /16 /8

Answers

Answer:

4

Step-by-step explanation:

the area of a square = length²

16 = length²

find the square root of both sides of the equation

length = 4

Determine how (if possible) the triangles can be proved similar.

AAA-
B.
SSS
COSAS
D. Not enough info/not similar

Answers

SSS sides are all 1.6 times bigger on one than the other. Also, when there are no markings for angles you can assume it won’t be an A answer

A bag contains 4 white, 3 blue, and 3 red marbles. Find the probability of choosing a red marble, then a white marble if the marbles are not replaced

Answers

Answer: 2 / 15

Step-by-step explanation:

3 red / 10 total

4 white / 9 total

3/10 * 4/9 = 12/90 = 2/15

what is the slope of the line?

Answers

Answer:

y = 2x - 3

Step-by-step explanation:

Since the line is going 2 down and 1 left. The slope is 2.

The line crosses the y-intercept at -3.

y = 2x - 3

Answer:

m = 2

Step-by-step explanation:

You have to use the slope formula and insert your points into the formula. Your formula should have turned into 0 - (-3)/1.5 - 0. If you simplfy your equation your get m(slope)=2.

Hope this helps! :D

-Luna

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. :)

help solve this please

Answers

Answer:

f² - 11f - 12

Step-by-step explanation:

(f-12)(f+1) = f² + 1f - 12f - 12

Please help quick! last question on my hw.

Answers

Answer:

The answer in C

Step-by-step explanation:

if you add all the numbers and divide by 25 you get 17

Plz solve this question

Answers

7). 1/(√7-√11)

= 1×(√7+√11)/(√7-√11)(√7+√11)

= √7+√11 / (√7)² - (√11)²

= √7 + √11 / 7 - 11

= √7 + √11 / (-4)

EXPLAINATION:

to rationalize the denominator we multiply the numerator and the denominator by the denominator, but with the opposite sign.

For example - in the first question we multiplied 1 and 7 - 11 by 7 + 11 .

Can someone please help me find the area of this semi circle plz

Answers

Answer: I think it is 39.25

Step-by-step explanation:

10/2=5

5^2=25

25*3.14=78.5

78.5/2=39.25

A jar contains 30 red marbles, 50 blue marbles, and 20 white marbles. You pick one at random. Find
the given probabilities:

Type a full reduced fraction. Ex. 1/4
P(red)=
P(blue)=
P(not white)=

Answers

Answer:

P(blue)=1/2 50 marbles are blue

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