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Ainat [17]
3 years ago
5

Is the quadrilateral shown a parallelogram? Justify

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0
Yes it is because the 2 pair of lines are parallel to each other
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tankabanditka [31]

Answer:

I think it is a

Step-by-step explanation:

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3 years ago
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What's 65 divided by 3
Step2247 [10]
It's 21.66666666666667

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A circumference of 320 cm what is the radius
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Radius = 50.93

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QUICK PLS Your friend is able to invest $120 a month in a 401(k) with a predicted growth rate of 3%. Your friend's company will
Len [333]
  • The contribution of the friend's company is of: $60.
  • The account's balance after 20 years will be of: $130,694.36.
  • The total deposits after 20 years are given as follows: $28,800 by the friend and $14,400 by the company.
  • The interest earned during this entire period was of: $87,494.36.

<h3>How to obtain the balance?</h3>

The balance is obtained using the future value formula, which is presented as follows:

B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}

The meaning of each parameter is explained as follows:

  • P is the total month deposit.
  • r is the interest rate.
  • n is the number of coupoundings per period, that is, compoundings per year.
  • t is the number of years.

The deposits will be of:

  • Friend: $120.
  • Company: $60, as it is half of the friend.

Then the parameter P is of:

P = 120 + 60 = 180.

The remaining parameters to obtain the balance after 20 years are given as follows:

r = 0.03, n = 12, t = 20.

Then the balance after 20 years is obtained as follows:

B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}

B = \frac{180\left(\left(1 + \frac{0.03}{12}\right)^{12 \times 20}-1\right)}{\frac{0.03}{12}}

B = $130,694.36.

The total deposits will be of:

  • Friend: 120 x 20 x 12 = $28,800.
  • Company: half of friend -> $14,400.

The interest accrued is the balance subtracted by the total deposits, hence:

130694.36 - (28800 + 14400) = $87,494.36.

A similar problem, also featuring the future value formula, is presented at brainly.com/question/24703884

#SPJ1

3 0
1 year ago
Common denominator for 5/24 and 7/18
lisov135 [29]
72 is the denominator because 24 multiplied by 3 is 72 and 18 multiplied by 4 is 72
8 0
3 years ago
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