Mathematics: If the rate of inflation is 3.4% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today. pt = 2500(1.022t) Find the current price of the item and the price 10 years from today.

If the rate of inflation is 3.4% per year, the

Ответ:

kalithekittenqueen

17.03.2022

Mathematics

The answer is "3107.75".

Step-by-step explanation:

$\text{Rate of inflation} = \frac{3.4 \%}{year}$

$\to p(t)= 2500 (1.022)^t$

when t= 0

$\to p(0) = 2500(1.022)^0$

$= 2500 \times 1\\\\= \$ 2500$

When t=10

$\to p(10)=2500(1.022)^{10}$

$= 2500 \times 1.2431\\\\= 3107.75$

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Ответ:

adamsc819

25.09.2022

Mathematics

See below.

Step-by-step explanation:

Triangle ABC is congruent to triangle DEF (Given)

Angle ACB is congruent to angle ECG. (Vertical angles theorem)

Angle CEG is congruent to angle DEF. (Vertical angles theorem)

Angle DEF is congruent to angle ABC. (Definition of congruent triangles)

Angle CEG is congruent to angle ABC. (Substitution property of equality).

Triangle ABC is similar to triangle GEC. (Angle angle similarity postulate- if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.)

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If the rate of inflation is 3.4% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today. pt = 2500(1.022t)
Find the current price of the item and the price 10 years from today.

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