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3 years ago

12

Monique purchases a $5,100 dining room set. She can't afford to pay cash, so she uses the installment plan, which requires an 18

% down payment. How much is the down payment?

1 answer:

just olya [345]3 years ago

7 0

Answer:

$918 is her down payment

Step-by-step explanation:

.18×5100

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zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

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2 years ago

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Fiesta28 [93]

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The graph of y=f(x)y=f(x) is the solid black graph below. Which function represents the dotted graph?

OlgaM077 [116]

the formula for a horizontal shift is (x-a) and this graph has moved 2 units to the left, -2, so the formula becomes (x+2)

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2 years ago

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sertanlavr [38]

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Answer:

25

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3 years ago