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ella [17]
3 years ago
12

What is the value of x?

Mathematics
1 answer:
Serjik [45]3 years ago
6 0
The triangle ADC and the triangle CDB are similar. Therefore:
\dfrac{x}{6}=\dfrac{6}{8}\ \ \ \ |cross\ multiply\\\\8x=6\cdot6\\\\8x=36\ \ \ |:8\\\\x=4.5
Answer: A 4.5

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Simplify the expression (7x2 − 3x) + 4x2. 8x 8x2 3x2 − 3x 11x2 − 3x NextReset
olchik [2.2K]
(7x^2-3x)+4x^2
7x^2+4x^2-3x
11x^2-3x
Answer: 11x^2-3x. 

You just combine like terms. 
7 0
3 years ago
Divide £500 in a ratio of 3:7 ? pleaseee help
Inga [223]
3+7 = 10
You do 500/10 which is 50 to find out 1
1 = 50
3 = 50 x 3 = 150
7 = 50 x 7 = 350

The ratio is 150 : 350
8 0
2 years ago
Read 2 more answers
An Investment of $10,000 yields 8% interest compounded quarterly.
Pachacha [2.7K]

An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

  • The principal amount of investment = $10,000
  • Interest Rate = 8% = 0.08
  • number of times it get compounded = 4

a. we are to determine the amount of the accumulated capital after 6 months.

  • i.e. when time (t) = 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}

\mathbf{A = 10000(1.02)^2}}

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

  • i.e. when time (t) = 5 years

\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}

\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}

\mathbf{A = 10000(1.02)^20}}

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

brainly.com/question/14295570?referrer=searchResults

5 0
2 years ago
Question 16 of 25<br> What is the slope of the line containing (-3, 1) and (1,-2)?
Sedbober [7]

Answer:

699

Step-by-step explanation:

6 0
3 years ago
5. Mr. Martinez is getting a rug for his den and wants to make sure it will fit.He knows the area of the den is 547.35 square fe
evablogger [386]
No.

If the Den is 547.35 Square feet, and one side length is 26.7, you divide the Area by one side length to get the other. 547.35/26.7= 20.5

20.5 is less than <span>23.5. Therefore the rug will not fit.</span>
8 0
3 years ago
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