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Minchanka [31]
3 years ago
12

The sales tax and total??

Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

the sales tax is $60.43

the total cost is $806.43

Step-by-step explanation:


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A b and E is the answer
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3 years ago
Colin buys a car for £28100.
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Answer:

The amount the car will be worth after 6 years is £21,917 and 22 pence

Step-by-step explanation:

The amount for which Colin buys the car, PV = £28,100

The amount by which the car depreciates each year, r = 4%

The number of years after which the value of the car is sought, n = 6 years

The future value, FV, based on an annual depreciation is given as follows;

FV = PV \times \left ( 1 + \dfrac{r}{100} \right ) ^n

Substituting the known values gives;

FV_6 = 28,000 \times \left ( 1 - \dfrac{4}{100} \right ) ^6 =  21,917.22

Therefore, the amount the car will be worth after 6 years, future value FV₆ = £21,917 and 22 pence

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2. Tom bought 500 shares of a company’s stock for $11.06/share. He pays a broker a commission of $12 to buy and sell stock. Afte
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Step-by-step explanation:

a.)Buying: total cost

Total cost= commission + (price per share× Number of of shares ) ;

Total cost= 10 + (11.06×500)=$5540

b.)Net gain or loss;

First, find cash received from sale of stock and deduct commission;

Cash from sale =10×500= $ 5000

deduct commission= 5000-10= $4990

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c.) Annual rate of return= (net gain or loss/amount paid)×100%

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3 years ago
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1.21 because of means multiply and .55% is .0055 so 220*0.0055 is 1.21.
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Find a solution to dA/dt=-6A if A(0)=6. A(t)=
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This equation is separable,

\dfrac{dA}{dt} = -6A \implies \dfrac{dA}A = -6\,dt

Integrate both sides and solve for A :

\displaystyle \int \frac{dA}A = -6 \int dt

\ln|A| = -6t + C

e^{\ln|A|} + e^{-6t+C}

\implies A(t) = Ce^{-6t}

Solve for C using the initial value.

A(0) = 6 \implies 6 = Ce^0 \implies C=6

Then the particular solution is

\boxed{A(t) = 6e^{-6t}}

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