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3 years ago

A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.

Mathematics

1 answer:

earnstyle [38]3 years ago

7 0

Answer:

$5768.1

Step-by-step explanation:

Given data

Cost price= $13,000

Depreciation= 15%

Time= 5 years

The expression for the depreciation is given below

A= P(1-r)^t

Substitute

A=13000(1-0.15)^5

A=13000(0.85)^5

A=13000*0.4437

A=$5768.1

Hence after 5 years, the car will be $5768.1

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3 years ago

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3 years ago

A sequence is defined by the recursive function f(n + 1) =1/3 f(n). If f(3) = 9 , what is f(1) ?

USPshnik [31]

<h3>A sequence is defined by the recursive function then f(1) is 81</h3>

Solution:

Given that,

A sequence is defined by the recursive function:

$f(n+1) = \frac{1}{3} \times f(n)$ ------ eqn 1

Given that,

$f(3) = 9$

Substitute n = 2 in eqn 1

$f(2 + 1) = \frac{1}{3} \times f(2)\\\\f(3) = \frac{1}{3} \times f(2)\\\\Substitute\ f(3) = 9\\\\9 = \frac{1}{3} \times f(2)\\\\f(2) = 27$

Substitute n = 1 in eqn 1

$f(1 + 1) = \frac{1}{3} \times f(1)\\\\f(2) = \frac{1}{3} \times f(1)\\\\Substitute\ f(2) = 27\\\\27 = \frac{1}{3} \times f(1)\\\\f(1) = 27 \times 3\\\\f(1) = 81$

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3 years ago

A skirt was originally priced at $30. The store is having a 40% off sale.

ratelena [41]

Answer:

The skirt would be $12.00

Step-by-step explanation:

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3 years ago

Jaime en un joven que vive en puyo con su padre. A jaime le gusta cosechar chonta con su padre los sabados en la mañana jaime ha

xenn [34]

Answer:

$\large \boxed{\text{23 s}}$

Step-by-step explanation:

Jaime is at point A and wants to get across the river to Point B.

They must head upstream towards Point C.

1. Calculate the net speed across the river.

∆ABC is a right triangle, so

$\begin{array}{rcl}AB^{2} + BC^{2} & = & AC^{2} \\AB^{2} +10^{2} & = & 12^{2} \\AB^{2}+100& = & 144 \\AB^{2}& = & 44\\AB & = & \sqrt{44}\\& = & 2\sqrt{11}\\& \approx &\textbf{6.633 m/s}\\\end{array}$

2. Calculate the time to cross the river

$\text{Time} = \text{150 m} \times \dfrac{\text{1 s}}{\text{6.633 m}} \approx \textbf{23 s}\\\\\text{It will take $\large \boxed{\textbf{23 s}}$ to cross the river.}$

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3 years ago