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Ludmilka [50]
3 years ago
10

Last year ratchel contributed $105 each month toward her 401(k) account. If her employer matched 17% of her contribution,what wa

s the total amount contributed to the 401(k) at the end of the year?
Mathematics
1 answer:
Veronika [31]3 years ago
5 0
Amount she contributed
105×12 months = 1260

Her employers contributions per month
0.17×105=17.85

Amount contributed for the year
17.85×12=214.2

The total amount contributed to the 401(k) at the end of the year is
1,260+214.2=1,474.2

Hope it helps!
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Answer with Step-by-step explanation:

Let x and y are two  numbers

According to question

x^2+y^2=100....(1)

Suppose x is larger than y

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x=4y+8x

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y=-\frac{7}{4}x

Substitute the value of y

x^2+(-\frac{7}{4}x)^2=100

x^2+\frac{49}{16}x^2=100

\frac{16x^2+49x^2}{16}=100

\frac{65}{16}x^2=100

x^2=\frac{16\times 100}{65}

x=\sqrt{\frac{1600}{65}}=\frac{40}{\sqrt{65}}=\frac{40}{65}\sqrt{65}=\frac{8}{13}\sqrt{65}

y=-\frac{7}{4}\times \frac{8}{13}\sqrt{65}=-\frac{14}{13}\sqrt{65}

3 0
3 years ago
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2nd line:
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1 7/12 cups

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2nd option

Step-by-step explanation:

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step  2 ( factor each group )

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step 3 ( factor out (x - 5) from each term )

(x - 5)(3x² - 4)

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Simplify the following expression. (4x − 8)(4x + 8)
vitfil [10]

Answer:

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(4x − 8)(4x + 8)

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