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2 years ago

Which line is the graph of y = 1/2 x + 2? line a line c line d line b

Mathematics

2 answers:

Alex17521 [72]2 years ago

7 0

Answer:

Line A

Step-by-step explanation:

By graphing the equation y = 1/2x + 2 you will see that the line intersects at 2. Hence + 2, while all of the other given lines do not intersect at 2.

To further prove the answer, you could also see that line A intersects at -4 when you graph the equation y = 1/2x + 2 you can also see that the line intersects at -4 on the x axis and 2 on the y axis.

Your answer is the first option or "line A."

Hope this helps.

kirill115 [55]2 years ago

4 0

Answer:

the answer is line A

Step-by-step explanation:

:3 why do i have to write at least 20 characters :/

but Hope its correct

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3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d

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Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
$\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}$

Where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

To obtain $4000 after two years, let A = 4000 and t = 2.

Because the account pays 3% interest compounded monthly, r = 0.03 and n = 12.

Substitute and solve for P:

$\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}$

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

$\displaystyle A = Pe^{rt}$

Where e is Euler's number.

Hence, let A = 4000, r = 0.04 and t = 2. Substitute and solve for P:

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In conclusion, about $3692.47 should be deposited.

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