Answer:
answer b (0.73)
Step-by-step explanation:
"Triple" means to increase in size by a factor of 3.
Thus, B = (1 + r)^2 becomes
3 = (1 + r)^2. Our task is to determine the value of r, the annual interest rate.
Taking the square root of both sides, we get
√3 = 1 + r, which yields √3 - 1 = r.
This is approx. 1.732 - 1.000, or 0.732. Answer b) is closest.
Answer:
(2x² + 5x + 2) = (2x + 1)(x +2)
Step-by-step explanation:
Given expression is (2x² + 5x + 2).
We have to factorize the given expression.
(2x²+ 5x + 2) = 2x² + 4x + x + 2
= 2x(x + 2) + 1(x + 2)
= (2x + 1)(x + 2)
So the factored form of the given expression will be (2x + 1)(x + 2).
Answer: 64.29%
Step-by-step explanation:
Let the total earnings of the Lee family in May be x
Amount earned by Mr Lee in May = 60% of x = 0.6x
Amount earned by other family members in May = x - 0.6x (total earnings - Mr Lee's earnings) = 0.4x
Amount earned by Mr Lee in June = 20% more than what Mr Lee earned in May.
That is, amount earned by Mr Lee in June = 1.2 × 0.6x = 0.72x
Amount earned by other members of the family in June remains unchanged, that is = 0.4x
Total amount earned by the Lee family in June = 0.72x + 0.4x = 1.12x
Percentage of total earnings in June earned by Mr. Lee = (0.72x/1.12x) × 100% = 64.29%.
QED!
Answer:

Step-by-step explanation:
f(x) = −3(x² - 2x + 1) + 3
f(x) = −3x² + 6x - 3 + 3
f(x) = −3x² + 6x
** The above answer is written in reverse, which is the exact same result.
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Answer:
If using a calculator, you can calculate one number as a percentage of another by dividing the numbers and multiplying by 100.
Step-by-step explanation: