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NISA [10]
3 years ago
12

Use the given figure to find the length of x

Mathematics
1 answer:
Lorico [155]3 years ago
5 0

{(x + 6)}^{2}  =  {x}^{2}  +  {12}^{2}  \\ \Leftrightarrow  {x}^{2}  + 12x + 36 =  {x}^{2}  + 144 \\ \Leftrightarrow 12x = 108 \Leftrightarrow x = 9

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A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc
Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 2x.

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

6\%=\frac{6}{100}=0.06

10\%=\frac{10}{100}=0.10

Amount of interest earned from lower-yielding account: 2x(0.06)=0.12x.

Amount of interest earned from higher-yielding account: x(0.10)=0.10x.

0.12x+0.10x=6600

Let us solve for x.

0.22x=6600

\frac{0.22x}{0.22}=\frac{6600}{0.22}

x=30,000

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be 2x\Rightarrow 2(30,000)=60,000.

Therefore, the man invested $60,000 at 6%.

8 0
2 years ago
The formula for converting celsius to fahrenheit is F = 9/5C+32.
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Step-by-step explanation:

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7 0
1 year ago
Please please help!!!!!!
Vlad1618 [11]

Answer:

5/2

Step-by-step explanation:

duh

6 0
2 years ago
Read 2 more answers
What is the area of the triangle?
Alika [10]

Answer:

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Step-by-step explanation:

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Express the first 10 terms of a sequence 2,5,8,11 in sigma notation<br>​
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Answer

The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29

Explanation:

You can notice that to get to the next term, you have to add 3.
So we add 3 every next term
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2 years ago
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