$\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&50.14\\ P=\textit{initial amount}\dotfill &1200\\ r=rate\to r\%\to \frac{r}{100}\dotfill\\ t=\textit{elapsed time}\dotfill &16\\ \end{cases}$

$\bf 50.14=1200(1-r)^{16}\implies \cfrac{50.14}{1200}=(1-r)^{16}\implies \sqrt[16]{\cfrac{50.14}{1200}}=1-r \\\\\\ r=1-\sqrt[16]{\cfrac{50.14}{1200}}\implies r\approx 0.18\implies \stackrel{\textit{converting to percent}}{r\approx 0.18\cdot 100}\implies r\approx \stackrel{\%}{18}\quad \leftarrow x$

3 0

4 years ago

How do you find the area of a triangle?

scoray [572]

To find the area of a triangle, you need the formula . A= b*h divided by 2

6 0

3 years ago

Read 2 more answers

A circle has An area of 36 pi square inches which best represents the circumference of the circle.

kkurt [141]

Answer: 12πins.

Step-by-step explanation:

Since the area if a circle = πr²

From the question

Area of the circle = 36πins²

To find the circumference of the circle, we need to find the common radius of the circle and this could be achieved from the area of the circle given above.

πr² = 36π, solving this gives. Divide through by π

r² = 36

r = +/-√36

= +/-6

Now to find the circumference of the circle, we substitute for r in the formula below.

Circumstances = 2πr

= 2 ×π × 6

= 12πins.

4 0

3 years ago