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QveST [7]
2 years ago
15

Use the binomial theorem to write the binomial expansion of (x+3)4 but the 4 is Square

Mathematics
1 answer:
Vladimir [108]2 years ago
6 0
(x+3)^4=(x+3)^2)^2=(x^2+6x+9)^2=x^4+36x^2+81+12x^3+108x
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The area of a square poster is 26in squared. Find the length of one side of the poster to the nearest tenth of an inch
alexdok [17]

Step-by-step explanation:

26 ÷4 = 6.5 inches is the correct answer for one side

6 0
2 years ago
What is the percent of incerse between 10 and 24
lisabon 2012 [21]
To work out the percent increase, we can use the following equation:

24 / 10 = 2.4
2.4 x 100 = 240%

Hope I helped!
6 0
2 years ago
For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0?
Klio2033 [76]
When b=0
f(x)=ax^2+c

test each
A. with x^2-1, A is false
B. with -x^2-1, B is false
C. cannot find contradiction
D. the axis is actually x=0, 0 is nithere positive nor negative, false


answer is C

7 0
3 years ago
Read 2 more answers
Is this a function?<br> {(-1,3); (-2,-3); (2,0); (0,2)}
Molodets [167]
Yes, because the x’s aren’t repeated
8 0
2 years ago
The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil
katovenus [111]

Answer:

  • <u>The rate of return is 8.15%</u>
  • <u>This is a good investment</u>

<u></u>

Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

      Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]

In your problem you know:

  • Present value: $100,000
  • payment: $15,000
  • r: ?
  • t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

       \$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

5 0
3 years ago
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