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3 years ago

25 POINTS!!!!

Mathematics

1 answer:

Kamila [148]3 years ago

8 0

Answer: $509

Step-by-step explanation:

Given : Gabe is getting married in three years and wants to save $20,000 for his wedding. He opens an account earning 6% interest, compounded monthly.

According to the given description, we have

A= $20,000 , r= 6%=0.06 , t= 3 years , n= 12 [1 yearn = 12 months]

Formula to find Periodic monthly deposit :-

$P=\dfrac{A\left(\dfrac{r}{n}\right)}{\left(1+\dfrac{r}{n}\right)^{\left(n\cdot t\right)}-1}$

Substitute given values in the above formula , we get

$P=\dfrac{20000\left(\dfrac{0.06}{12}\right)}{\left(1+\dfrac{0.06}{12}\right)^{\left(3\cdot12\right)}-1}\\\\=\dfrac{100}{1.19668052482-1}\\\\=\dfrac{100}{0.19668052482}=508.438749031\approx509$

Hence, the periodic monthly deposit (payment) needed to achieve a balance of $20,000 after three years= $509.

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Brainliest + Points

bagirrra123 [75]

$(5.5 \times 75 \\$

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3 years ago

If a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can

sasho [114]

Answer:

c. 6.5 seconds.

Step-by-step explanation:

We have been given that a a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can be determined by the formula $h = -3t^2+147$ , where h is the height of the plane at t seconds.

To find the time, when plane will be at a height of exactly 20.25 feet, we will substitute $h=20.25$ in our given formula and solve for t as:

$20.25= -3t^2+147$

$-3t^2+147=20.25$

$-3t^2+147-147=20.25-147$

$-3t^2=-126.75$

$\frac{-3t^2}{-3}=\frac{-126.75}{-3}$

$t^2=42.25$

Take square root of both sides:

$t=\pm \sqrt{42.25}$

$t=\pm 6.5$

Since time cannot be negative, therefore, the plane will be at a height of exactly 20.25 feet after 6.5 seconds and option 'c' is the correct choice.

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3 years ago

Highest Common Factor of 42

Mnenie [13.5K]

Answer:

42 is itself it's highest common factor

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3 years ago

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Pls solve showing steps, thanks!<br><br> 7^4n+19/7^3n-1•7^n+20

Vinvika [58]

Answer:

This expression can be simplified to 1

Step-by-step explanation:

$\frac{7^{4n + 19}}{7^{3n - 1}\times{7^{n + 20}}}\\\\= \frac{7^{4n + 19}}{7^{3n - 1 + n + 20}}\\\\= \frac{7^{4n + 19}}{7^{(3n + n) + (20 - 1)}}\\\\= \frac{7^{4n + 19}}{7^{4n + 19}}\\\\= 1$

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3 years ago

31. What is the surface area of a cube with side length 5 cm?

yan [13]

Answer:

A=150cm²

Step-by-step explanation:

A=6a2=6·52=150cm²

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3 years ago

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