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kaheart [24]
3 years ago
12

The binary operation is defined by a*b=(a+b)² - 2abColulate the value of 3*4​

Mathematics
1 answer:
Schach [20]3 years ago
4 0
Sorry about the bad handwriting
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Pierre deposits $9,000 in a certificate of deposit that pays 1.4% interest, compounded semi-annually.
Elenna [48]

9514 1404 393

Answer:

  • interest: $63
  • balance: $9063

Step-by-step explanation:

After 6 months, the interest accrued is ...

  I = Prt

  I = $9000·0.014·(6/12) = $63

This is added to the principal to get the balance at that point in time.

  $9000 +63 = $9063

__

The interest earned in the first 6 months is $63. The balance after 6 months is $9063.

_____

The compound interest formula will give you the same result for one compounding period. It tells you the balance is ...

  A = P(1 +r/n)^(nt)

where n is the number of times interest is compounded in a year (2), and t is the number of years (1/2). For annual rate r = 1.4%, this is ...

  A = $9000(1 +0.007)^(2×1/2) = $9000·1.007 = $9063

5 0
2 years ago
What is the value of 36x-8y^2 when x=3 and y= -6?
Zepler [3.9K]

Answer:

-6 gets canceled out because it gets squared. When you square a number, you multiply it by itself. Any negative number times a negative number results in a positive number. So instead of -36 its just 36

7 0
2 years ago
An amusement park has discovered that the brace that provides stability to the ferris
antiseptic1488 [7]

Answer:

Hence the correct answer is option (A) 4.708.

Step-by-step explanation:

Solution:-

Now, we need to find the angle of the sector by using sector  formula,

A = 28.25 ft^{2} \\r = 12ft.\\\\28.25 = \frac{\theta}{360^{o} } \times \pi \times 12^{2} \\\\\theta=\frac{28.25\times 360}{12 \times12 \times \pi} \\\\\theta =( \frac{70.625}{\\pi} )^{o}

We now convert the angle to radian  

\theta = \frac{70.625}{\pi}  \times \frac{\pi}{180}\\\\\theta = 0.39236 radian  

Now we calculate the length of arc by arc formula  

\theta=\frac{I}{12} \\\\0.39236 =\frac{I}{12}\\\\I  = 4.708 feet.  

So, The length of steel that must be replaced is 4.708 ft.  

4 0
3 years ago
Steven paid 15% down on a car. His down payment was $2,100. How much does he still owe on the car?
My name is Ann [436]

Answer:

315

Step-by-step explanation:

because 15% of 2,100 is 315

3 0
3 years ago
The student council at Spend too much High School is planning a school dance. The table below shows the budget for the dance.
Pie
The dance would /cost/ the school 50 dollars, making the profit -50. The dance tickets make 300, and the DJ takes away 250, making a 50 profit. However, the decorations cost 100, taking away that from 50, making -50.
4 0
2 years ago
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