Answer:
Step-by-step explanation:
Let the initial population of country A represented by and the population of country B is represented by ,
Then, According to the question,
----------(1)
Since, the population of country A is increasing at a rate of 5% per year,
Hence, the population of A after x years
Similarly, the population of country B is increasing at a rate of 21.551 % per year,
Hence, the population of B after x years
Thus, the ratio of the population of A and that of B is,
By equation (1),
Which is the required function.
Answer:
20
Step-by-step explanation:
Okay. So Daniella wants to have a take-home pay of at least $51,000, but she ahs to pay 15% income tax, which means 15% of what she earns will be gone. To find out the least amont of salary she needs to make, we can write and solve a proportion. Set it up like this:
51,000/x = 85/100
This is because we are looking for the amount of money made overall, but the $51,000 is only part of the salary earned, and even though you pay 15% income tax, you still take home 85% of your salary. Cross multiply the valyes in order to get 5,100,000 = 85x. Divide each side by 85 to isolate the variable. 5,100,000/85 is 60,000. Let's check this by multiplying by 85% (0.85). 60,000 * 0.85 is 51,000. There. x = 60,000. Daniella will need to make at least $60,000.
Y = yo + Vot - (gt^2)/2
y = 10 + 27t - 16.087t^2 [I used g = 32.174 ft/s^2]
You can find y with the quadratic formula or probe with the different times given.
I tried with t = 2 s and found
y = 10 + 27(2) - 16.087 (4) = 10 + 54 - 64.348 = -0.348
Then that is the answer, t = 2s.