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Usimov [2.4K]
2 years ago
6

Simplify 10 times the square root of quantity 2 y end quantity plus 5 times the square root of quantity 2 y end quantity plus 3

times the square root of quantity 2 y end quantity
Mathematics
1 answer:
8_murik_8 [283]2 years ago
7 0

Answer:

  18√(2y)

Step-by-step explanation:

The common factor √(2y) can be factored out, and its coefficients combined.

<h3>Simplification</h3>

The root itself cannot be simplified in this case.

  10\sqrt{2y}+5\sqrt{2y}+3\sqrt{2y}=(10+5+3)\sqrt{2y}=\boxed{18\sqrt{2y}}

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8

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Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until
alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

<u>Month 0</u> (first payment)

$250

Month 1

250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})

<u>Month 2</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)

<u>Month 3</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)

<u>Month 24 (2 years)</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})

The sum  

1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}

is the sum of the first 24 terms of a geometric sequence with common ratio \frac{12.04}{12} which is

\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0
3 years ago
Order of operations what should be done first to evaluate 6+ (-5-7) ÷ 2 -8(3)
Maru [420]

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Step-by-step explanation:

6+(-5-7) ➗ 2-8(3)

6-12 ➗ 2-24

6-6-24

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3 0
3 years ago
HELP
Shtirlitz [24]

x(x + 9-x) = 6^2

9x = 36

x = 4


Answer

c. 4

4 0
3 years ago
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