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mafiozo [28]
1 year ago
11

If the rate of inflation is 3.9% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following

exponential function, where t is the number of years from today. p(t)= 2500(1.039^t). find the current price of the item and the price 10 years from today. round your answers to the nearest dollar as necessary.
Mathematics
1 answer:
KonstantinChe [14]1 year ago
3 0

The current price of the item is $2500 and the price 10 years from today is $3665. 2.

Given exponential function

p(t) = 2500 × (1.039)^t

where t is the number of years from today.

Rate of inflation is 3.9% per year

The computation of the current price of the item and the price 10 years from today is shown below:-

p(t) = 2500 × (1.039)^t

Now, the current price can be found by putting t = 0

p(0) is

p(0) = 2500 \times (1.039)^{0}

= 2500

The price 10 years from today can be found by putting t = 10

p(10) is

p(10) = 2500 \times (1.039)^{10}

= 2500 × 1.466

= 3,665.181

Rounding to nearest dollar

= $3665. 2

The current price of the item is $2500 and the price 10 years from today is $3665. 2.

Find out more information about current price here

brainly.com/question/20709139

#SPJ4

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Ali spends 30% monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. I
Romashka [77]

Ali saves Rs 2576 every month

Step-by-step explanation:

  • Step 1: Given Ali's monthly salary = Rs 18400. Calculate the amount spent on food articles

Amount spent on food = 30% of 18400 = 30/100 × 18400 = Rs 5520

  • Step 2: Find the remaining amount.

Remaining amount = 18400 - 5520 = Rs 12880

  • Step 3: Find amount spend on conveyance and clothes

Amount spent on conveyance and clothes = 40% of 12880

                              = 40/100 × 12880 = Rs 5152

  • Step 4: Find his monthly savings.

Monthly savings = 50% of 5152 = 50/100 × 5152 = Rs 2576

5 0
3 years ago
Read 2 more answers
Which type of annuity typically utilizes mutual funds
Vlada [557]
Answer:
variable annuity typically provides mutual funds

Explanation:
1- Annuity is commonly used financial product among the retirees to get regular income.
2- Annuity usually pays a fixed amount each month
3- variable annuity is different because the amount of funds paid each month varies depending on how the investment performs each month.

Hope this helps :)
4 0
3 years ago
Daniels print shop purchased a new printer for $35,000. Each year it depreciates at rate of 5%. How much will the printer be wor
Savatey [412]
Ab^x
a: initial value
b: value remaining after depreciation per year (in percentage)
x: number of years that have passed

35000(0.95)^8= 23219.7151

Round to the nearest hundredth value:
About $23219.72

Let me know if you have any questions :)
7 0
3 years ago
The point (–3, –5) is on the graph of a function. What equation must be true regarding the function?
Komok [63]

The equation that must be true regarding the function is a. f(–3) = –5

<h3>How to explain the information?</h3>

The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?

a. f(–3) = –5

b. f(–3, –5) = –8

c. f(–5) = –3

d. f(–5, –3) = –2

The question is what does the point (-3, -5) correspond to on the graph of the function.

If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate.

Hence if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5.

Therefore the correct answer is f(-3)=-5.

Learn more about equation  on:

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7 0
2 years ago
Which of the following could be an example of a function with a domain (-infinity, infinity) and a range (2,infinity) ? Check al
frosja888 [35]

Answer:

1234

Step-by-step explanation:

8 0
2 years ago
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