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SpyIntel [72]
2 years ago
11

If the value of a tv is $1500, and it's value decreases by 14% each year, how do I write a function that represents the value y

of the tv after t years
Mathematics
2 answers:
posledela2 years ago
8 0

Answer:

Step-by-step explanation:

If the value of the TV decreases by 14% each year, then the rate is exponential.

We would apply the formula for exponential growth which is expressed as

A = P(1 + r/n)^ nt

Where

A represents the price of the TV after t years.

n represents the periodic rate at which the decrease is calculated.

t represents the number of years.

P represents the initial price of the TV.

r represents rate of decrease in value of the TV.

From the information given,

P = $1500

r = 14% = 14/100 = 0.14

n = 1

A = y

Therefore, the function would be

y = 1500(1 + 0.14/1)^ 1 × t

y = 1500(1.14)^t

irina1246 [14]2 years ago
3 0

Answer:

value of the tv = $1500

Decrease rate per year = 14%

14% of $1500 = (14 x 1500)/100

14% of $1500 = 21000/100

14% of $1500 = 210

In first year depreciation  would be y - 210(t) = 1500 -210(1) = 1290

The function to calculate y after t years would be : y - 210(t)

                                                                       

The function would be y - 210(t)

Step-by-step explanation:

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Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

(0,-16)

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

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2 years ago
alfredo bought a fishing pole for 60 off it's original price of $97 if the tax was 4% how much did alfredo pay for the fishing p
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Answer:

$40.4

Step-by-step explanation:

The regular price of the fishing rod is $97

There is a 60% discount from that price.

The discount is equal to 60% of $97 which is equal to .60 * $97 which is equal to $58.2

Discount is like a markdown, so subtract $58.2 from the price of the item before the change to get $97 - $58.2 = $38.8 

This is the price of the item before tax is applied.

Now you apply the sales tax of 4%.

4% of $38.8 is equal to .04 * $38.8 which is equal to $1.552

Tax is like a markup, so add $1.552 to the price of the item before tax was applied to get a selling price of $38.8 + $1.552 which is equal to $40.352

Round it up and the answer is $40.4

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At a cafe , the cook uses a recipe that calls for eggs and milk have a proportional relationship. Complete the table.
SVEN [57.7K]

Answer:

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Step-by-step explanation:

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hoa [83]
4a-8=28
add 8 to both sides to start to isolate the variable (a)
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garik1379 [7]

Answer:

The correct option is;

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Step-by-step explanation:

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The time length of a carousel ride = 5 minutes

Therefore, the number of complete revolutions, n, in a carousel ride of 5 minutes is given by n = (The time length of a carousel ride)/(The time duration for one complete revolution)

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