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iogann1982 [59]
3 years ago
5

A) Expand and simplify (4x + 3)(2x - 5)

Mathematics
2 answers:
Delicious77 [7]3 years ago
6 0

Answer:

8x² - 14x - 15

Step-by-step explanation:

(4x + 3)(2x - 5)

8x² - 20x + 6x - 15

8x² - 14x - 15

alina1380 [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Use FOIL, first outside inside last.

4x*2x - 5*4x + 3*2x - 3*5

8x^2-20x+6x-15\\8x^2-14x-15\\

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A principal of $835 is invested in an account at 4% per quarter simple interest which of the following sequences describes the d
netineya [11]
To solve the question we use the compound interest formula which is given by:
A=p(1+r)^(nt)
where:
A=future value
p=principle
r=rate
n=number of terms
t=time
thus plugging in the values in the formula we shall have:
A=835(1+0.04)^(4t)
simplifying this we get the sequence:
A=835(1.040)^(4t)
Thus the answer to the sequence will be:
A=835(1.040)^(4t)

7 0
3 years ago
PLEASE HELP!!! In the diagram, line AB is a perpendicular bisector of segment CD. What is the length of CD?
ra1l [238]

Answer:

12

Step-by-step explanation:

AD is 6. a bisector splits a line in half. X would equal 6 meaning AD would equal 12.

6 0
3 years ago
A submarine submerges from the surface of the sea at the rate of 10 m/min. How long will it take to reach 300 m below the sea le
Pavlova-9 [17]

Answer:

answer is 300m/30min

Step-by-step explanation:

300\10=30

5 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
HELP ASAP!!
tensa zangetsu [6.8K]
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5 0
3 years ago
Read 2 more answers
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