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vladimir2022 [97]
4 years ago
8

What is the domain of

Mathematics
1 answer:
egoroff_w [7]4 years ago
4 0
What is the function???
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Please help!!! ASAP someone please
murzikaleks [220]

Answer:

0.31 yr

Step-by-step explanation:

The formula for interest compounded continuously is

FV = PVe^{rt}

FV = future value, and

PV = present value

If FV is twice the PV, we can calculate the doubling time, t

\begin{array}{rcl}2 & = & e^{rt}\\\ln 2 & = & rt\\t & = & \dfrac{\ln 2}{r} \\\end{array}

1. Brianna's doubling time

\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.065}\\\\& = & \textbf{10.663 yr}\\\end{array}

2. Adam's doubling time

The formula for interest compounded periodically is

FV = PV\left (1 + \dfrac{r}{n} \right )^{nt}

where

n = the number of payments per year

If FV is twice the PV, we can calculate the doubling time.

\begin{array}{rcl}2 & = & \left (1 + \dfrac{0.0675}{4} \right )^{4t}\\\\&= & (1 + 0.016875 )^{4t}\\& = & 1.016875^{4t}\\\ln 2& = & 4 (\ln 1.01688)\times t \\& = & 0.066937t\\t& = & \dfrac{\ln 2}{0.066937}\\\\& = & \textbf{10.355 yr}\\\end{array}

3. Brianna's doubling time vs Adam's

10.663 - 10.355 = 0.31 yr

It would take 0.31 yr longer for Brianna's money to double than Adam's.

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3 years ago
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Fudgin [204]

Answer:

840$

Step-by-step explanation:

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