Answer is 40. A triangle equals 180 so all you do is subtract 65 and 75 from 180 to get your answer.
<h3>
Answer: Yes they are equivalent</h3>
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Work Shown:
Expand out the first expression to get
(a-3)(2a^2 + 3a + 3)
a(2a^2 + 3a + 3) - 3(2a^2 + 3a + 3)
2a^3 + 3a^2 + 3a - 6a^2 - 9a - 9
2a^3 + (3a^2-6a^2) + (3a-9a) - 9
2a^3 - 3a^2 - 6a - 9
Divide every term by 2 so we can pull out a 2 through the distributive property
2a^3 - 3a^2 - 6a - 9 = 2(a^3 - 1.5a^2 - 3a - 4.5)
This shows that (a-3)(2a^2 + 3a + 3) is equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)
Answer:
Amira used 4 balloons for each balloon animal.
Step-by-step explanation:
From the table, we can conclude that:
For 20 animals being sold by her, the leftover balloons were 180.
Then there is an increase in the number of animals being sold. She now sells 29 animals. So, the increase in animals being sold is given as:
29 - 20 = 9.
So, 9 more animals were sold. The balloons used for these 9 animals can be obtained by taking the difference of the leftover balloons for the two days.
The difference of the leftover balloons = 180 - 144 = 36.
So, 36 balloons were used for selling 9 more animals.
Similarly, there is an increase of another 9 animals when 38 animals were sold as 38 - 29 = 9. Also, the balloons used in this case is 36 only as the difference of the leftover balloons is 36.
144 - 108 = 36
Therefore, we conclude that for selling 9 balloon animals, Amira used 36 balloons.
Number of balloons used for 9 balloon animals = 36
∴ Number of balloons used for 1 balloon animal =
(Unitary method)
Thus, Amira used 4 balloons for each balloon animal.
Answer:
Step-by-step explanation:
This is an Annuity question. It is asking for recurring monthly payment(PMT). <em>You can use a financial calculator to solve it. I am using (Texas Instruments BA II plus)</em>
Since the payments occur monthly , adjust the interest rate to monthly rate and multiply 40 years by 12 since we have 12 months in a year<em>.</em>
Total duration of investment ; N = 40*12 = 480
Interest rate; I/Y = 5.75% /12 = 0.4792%
Future value; FV = 6,000,000
Present value ; PV = 0
then CPT PMT = 3,222.912
Therefore $3,222.91 should be deposited each month to achieve the goal.