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Rudik [331]
3 years ago
15

24x2+25x−47=(−8x−3)(ax−2)−53

Mathematics
2 answers:
elixir [45]3 years ago
8 0
The answer can be -8a=24 or a=-3
Sergio [31]3 years ago
7 0


Since the coefficients of the <span>x2</span>-term have to be equal on both sides of the equation, <span><span>−<span>8a</span></span>=24</span>, or <span>a=<span>−3</span></span>.

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Prove that sin 60° = 2 tan 30°/1+ tan² 30°​
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4 years ago
How many lbs of peanuts must mike add to 9 lbs of mixed nuts containing 40% peanuts to make a mixture with 73% peanuts
andreev551 [17]

The new mixture exists 56.5% peanuts.

<h3>How to estimate the total number of peanuts required for the mixture?</h3>

The first batch of 9 lb of mixed nuts possesses 40% peanuts.

This means the quantity of peanuts exists:

9 * 40/100 = 3.6 lb

The second batch of 9 lb of mixed nuts possesses 73% peanuts.

This means the quantity of peanuts exists:

9 * 73/100 = 6.57 lb

The total quantity of peanuts in the mix exists

3.6 lb + 6.57 lb = 10.17 lb

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The new mixture exists 56.5% peanuts.

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3 0
2 years ago
Easy Slider Inc. sold a 15-year $1,000 face value bond with a 10% coupon rate. Interest is paid annually. After flotation costs,
Softa [21]

Answer:

6.6%

Step-by-step explanation:

We find the cost of the bond. Yield to maturity is the yield for bond holder but cost for the  issuer like Easy Slider.

Formula is

P=CP(1-(1+x)^-n)/x + FV/(1+x)^n

where P is the price of bond in the market. So, the selling price of Easy Slider Inc bond is 928

CP= coupon payment. Here, CP is 10% of 1000. So, $100

FV= Face value. Here, FV is $1000

n= maturity of the bond. Here, n=15

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putting the value in the equation

928=100(1-(1+x)^-15)/x + 1000/(1+x)^15

solving for x, we get 0.1100

Now, if we find out after tax then

0.1100(1-T)= After tax cost

0.1100(1-0.4)

0.066 or 6.66%

6 0
4 years ago
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