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Scorpion4ik [409]

3 years ago

13

Find all solutions of- 2r +4-8=0

1 answer:

mr_godi [17]3 years ago

4 0

Answer: -2

Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0

Then you add 4 to 0 so -2r=4 then divide

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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

pychu [463]

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

To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.

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

Substitute and solve for <em>P: </em>

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

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

$\displaystyle A = Pe^{rt}$

Where <em>e</em> is Euler's number.

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

<em /> $\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}$

In conclusion, about $3692.47 should be deposited.

8 0

2 years ago

the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer

Alinara [238K]

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = v $i$ t + $\frac{1}{2}$ a $t^{2}$

d = distance v $i$ = initial velocity (m/s)

t = time (s) a = acceleration (m/ $s^{2}$ )

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/ $s^{2}$ since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + $\frac{1}{2}$ (9.81m/ $s^{2}$ )(t)

220.98m = (4.905m/ $s^{2}$ )(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

7 0

2 years ago

Absolute value inequality

Marizza181 [45]

|x| because just Google it if I'm wrong

8 0

3 years ago

Timothy and his brothers are selling lemonade and cookies to raise funds for a camping trip. Paul bought two cups of lemonade an

sasho [114]

Answer:

im try ing to think

Step-by-step explanation:

3 0

3 years ago

What is 4 and 1/2 times 2 ????

strojnjashka [21]

4 1/2 times 2 equals to 9.

it is the same as 4 1/2 plus 4 1/2 and 4 plus 4 is 8 and 1/2 plus 1/2 is 1 and 8 plus 1 is 9

answer is 9

7 0

3 years ago

Read 2 more answers