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geniusboy [140]
3 years ago
9

Factorise:b+√b-12An easy one.​

Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Answer:

Step-by-step explanation:

If you let b = x^2 the problem becomes a whole lot easier. Note that x = √b

x^2 + x - 12

Now factor this trinomial.

(x + 4)(x - 3)

Now put b back into the equation

(√b + 4)(√b - 3)

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How much would $500 invested at 6% interest compounded monthly be worth after 5 years? round your answer to the nearest cent.
Lady bird [3.3K]
Use this formula: A = P(1 + r/n)^nt, where A is the amount after interest (what you are solving for), P is the amount you invested originally, r is the rate at which it was invested in decimal form, n is the number of times the compounding occurs each year, t is the time in years it is invested. It would look like this: A = 500(1 + [.06/12])^12*5.  Do inside the parenthesis first to get 1 + .005 = 1.005.  Now raise that to the 60th power (12 times 5 is 60) to get 1.34558. Now multiply that by the 500 out front to get a total amount of $674.43
8 0
3 years ago
Read 2 more answers
There are 5 times as many yellow labs as terriers in the dog park. if there are a total of 18 dogs, how many dogs are terriers?
gtnhenbr [62]
Terriers = x
Labs = 5x
5x + x = 18
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x = 3
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3 0
3 years ago
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How to do 264 in Expanded form
Setler [38]

Answer:

200+60+4

Step-by-step explanation:

200+60+4=264

6 0
3 years ago
Help help help pls :)
kykrilka [37]

Answer:

opposite\approx 70.02

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Please note that the names (opposite) and (adjacent) are subjective and change depending on the angle one uses in the ratio. However the name (hypotenuse) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (tan) ratio.

tan(\theta)=\frac{opposite}{adjacent}

Substitute,

tan(35)=\frac{opposite}{100}

Inverse operations,

tan(35)=\frac{opposite}{100}

100(tan(35))=opposite

Simplify,

100(tan(35))=opposite

70.02\approx opposite

4 0
2 years ago
WHAT NUMBER MUST BE ADDED TO BOTH THE NUMERATOR AND DENOMENATOR OF 3/7 TO OBTAIN A FRACTION EQUAL TO 7/9?
yan [13]

Answer:

Add 22/63

Step-by-step explanation:

3/7 + n = 7/9

<u>Step 1:  Subtract 3/7 from both sides</u>

3/7 + n - 3/7 = 7/9 - 3/7

n = 49/63 - 27/63

n = 22/63

Answer:  Add 22/63

5 0
3 years ago
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