$\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &18000\\ r=rate\to 14.3\%\to \frac{14.3}{100}\dotfill &0.143\\ t=years \end{cases} \\\\\\ A=18000(1 - 0.143)^{t}\implies A=18000(0.857)^t \\\\\\ \textit{3 years later, t = 3}\qquad A=18000(0.857)^3\implies A\approx 11329.61$

6 0

1 year ago

a rectangular patio has a perimeter of 60 feet. if the length of the patio is 3 feet less than twice the width, find the dimensi

Juli2301 [7.4K]

P = 2(L + W)
P = 60
L = 2W - 3

60 = 2(2W - 3 + W)
60 = 2(3W - 3)
60 = 6W - 6
60 + 6 = 6W
66 = 6W
66/6 = W
11 = W <=== the width is 11 ft

L = 2W - 3
L = 2(11) - 3
L = 22 - 3
L = 19 <=== the length is 19 ft

6 0

3 years ago

527,519 in expanded form using exponents

Ira Lisetskai [31]

$527.519=5*10^6 + 2*10^5+7*10^4+5*10^3+1*10^2+9$

4 0

3 years ago