A flat-screen television costs $724.89 when it is new. The value of the television is expected to change by −12 3/5% per year. What is the expected value, to the nearest cent, of the television after 4 years?

The solution is $ 422.98

The expected value of the television after 4 years is $ 422.98

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the initial amount of the television be x₀

The value of x₀ = $ 724.89

Now , value of the television is expected to change by -12 3/5 % per year

So , the exponential decay rate of the television is r = -12 3/5 %

The rate r = -63/5 %

The rate r = -12.6 %

The number of years t = 4 years

So , the exponential decay rate of the television after 4 years is calculated from the formula

x ( t ) = x₀ × ( 1 + r )ⁿ

Substituting the values in the equation , we get

x ( 4 ) = 724.89 ( 1 - ( 12.6/100 ) )⁴

On simplifying the equation , we get

x ( 4 ) = 724.89 ( 1 - 0.126 )⁴

x ( 4 ) = 724.89 ( 0.874 )⁴

x ( 4 ) = 724.89 x 0.583506543376

x ( 4 ) = $ 422.978

So , rounding to the nearest cent , we get

The value of x ( 4 ) = $ 422.98

Hence , The expected value of the television after 4 years is $ 422.98

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Which property of equality is used to solve the equation 5n = 50?

Please help with these questions!!!


Q1:

Show all work to factor x^4 − 5x^2 + 4 completely.

Q2:

Show all work to solve 3x^2 − 5x − 2 = 0.

Q3:

Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.



f(x) h(x)

f(x) = −4(x − 8)^2 + 3 graph of negative 1 times the quantity of x minus 3 squared, plus 2

Q4:

The functions f(x) = (x + 1)^2 − 2 and g(x) = −(x − 2)^2 + 1 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.

Select the TWO answer choices that apply.

Jamie took a test. She got 31 correct, and 13 incorrect. Find the percentage of incorrect answers to correct answers. Explain with all steps.

this is so hard i need some help ill give brainliest too

Please help with this lolll (A, B and, C are NOT answers, they're questions.)

You have two cards with a sum of 0 in your hand. What two cards could
you have?

Romeo has captured many yellow-spotted.....

please help !! I need the new equation, the vertex, the zeros, the y-intercept, and the maximum or minimum value

SOMEONE PLEASE HELP PLSSS WILL MARK BRAINLIEST

please help with this
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help help help help
A city map is laid out on a coordinate grid with City Hall at the origin. Each unit on the grid represents a distance of one city block.

Max spends the day running errands and visiting the following locations before heading back to his apartment.

Location Coordinates
Post Office (–15, –4)
Library (–15, 16)
Police Station (–3, 16)
Bank (–3, 8)
Coffee Shop (4, 8)
Pet Store (4, –4)
Grocery Store (–8, –4)

Which of the following options has a distance of 12 city blocks? Select three that apply.
Library to Police Station
Police Station to Bank
Bank to Coffee Shop
Pet Store to Grocery Store
Coffee Shop to Pet Store
Post Office to Library

Can someone help please??/

plz help i will give brainliest

*If there is a decimal, write it to the nearest tenth (1 decimal place)*

Mean:

Median:

Mode:

Range:

Please help. You will get some points.

Lisa and her 17 classmates are donating money to a local charity. Each student will donate $5.25. How much money are Lisa and her classmates donating altogether?

Please help I do not understand pleasee brainliest!

Giving brainliest!!!!!! If you don’t know the answer please don’t answer it

Need help with question 4 :(

In the equation 32 - b = 3b - 8, what is the value of b?

A.6
B.10
C.20
D.5

Determine if each solid is a prism, pyramid, cylinder, cone, or sphere.

Figure A is a ______.

O A.) Cone
O B.) Cylinder
O C.) Pyramid
O D.) Sphere

Figure B is a ______.

O A.) Circle
O B.) Cone
O C.) Cylinder
O D.) Sphere

Figure C is a ______.

O A.) Cone
O B.) Cylinder
O C.) Prism
O D.) Sphere

Figure D is a ______.

O A.) Cone
O B.) Cylinder
O C.) Pyramid
O D.) Sphere

The owner of a new coffee shop is keeping track of how much each customer spends (in dollars). One hundred of these amounts are shown in the table below. These amounts will form the population for this question.

dollar amounts

A random number table was used to generate the following numbers: 01, 03, 72, 15, 53, 20, 07, 63, 82, and 91. Use these two digit numbers to select a random sample from the table above. (NOTE: these are NOT dollar amounts. You use these digits to find the dollar amounts.)

Which choice below reflects the random sample of the 10 dollar amounts you found?

Question 3 options:

4.67, 4.06, 4.75, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, and 5.58


4.67, 4.06, 4.94, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, and 5.58


6.18, 4.06, 4.94, 7.09, 4.10, 3.12, 4.91, 4.05, 5.00, 5.58


6.18, 4.06, 4.94, 7.09, 4.10, 3.12, 4.86, 4.05, 5.00 and 5.58

Please see image below

1. The figure shows a graph of the function of f(x) in the xy-coordinate plane, with the vertex at (1,9) and the zeros
at -2 and 4.
x
5 6 7 8 9
The function g is defined by g(x) = -3x + 2. Which statements are true? Select ALL that apply.
f{-2) is greater than g(-2).
f{-1) is less than g(-1).
f{0) is greater than g(0)
f(1) is less than g(1).
f(2) is greater than g(2).

Please help with this question,Best answer will be marked as brainliest-
convert the following equations in statement form-
(i) 2x - 1 = 8
(ii) 7y + 3 = 10
(iii) 3y/7 = 1

Can someone pls help me ASAP

Watch the video of Norman. What type of energy transformation is happening?

Norman sliding his foot across the floor.

A. Electrical energy is created by friction when his foot slides across the floor.
B. The mechanical energy of his foot moving across the floor is transformed into chemical energy.
C. When his foot is sliding across the floor, it creates heat energy through friction.
D.When his foot rubs against the floor, the energy of motion changes into light energy.

Write an equivalent expression using the distributive property.
2x + 6

HELPPPPPP,
Eva has 10 cups of flour. She needs 2 and 1/3 cups of flour for each cake that she bakes. How many WHOLE cakes can Eva make with amount of flour she has?