<span>supplementary angles sum = 180
</span>lets x = measure of angle Y
x + 3x = 180
4x = 180
x = 45
angle Y = 45
angle X = 3 x 45 = 135
answer
Angle X = 135
Answer:
answer is b juicy how to do it
Answer:
73
292
173
Step-by-step explanation:
x = first number
4x = second number
100 + x = third number
x + 4x + 100 + x = 538
6x + 100 = 538
6x + 100 - 100 = 538 - 100
6x = 438
6x/6 = 438/6
x = 73
Check:
73 + 4(73) + 100 + 73 = 538
73 + 292 + 173 = 538
538 = 538
A growth rate equation has a general form of:
f(x) = P (1 + r)^x
Where,
P = present value
r = rate of growth
x = number of years
If we write the given equation on that form, it would be:
f(x) = 4 (1 + 3)^x
Therefore we can see that the population’s growth rate is
300% per year. To make this formula to an equivalent of three times a year (3x),
we have to find the new r.
f(x)_3 = 4 (1 + r)^3x
To calculate this, we must take note that the expression or
value of (1 + r)^x must be constant. Therefore equate this with 4^x.
(1 + r)^3x = (4)^x
Taking the logs of both sides:
3x log (1 + r) = x log 4
Cancelling x:
3 log (1 + r) = log 4
3 (1 + r) = 4
1 + r = 4/3
r = 0.33
Therefore the new growth rate is 0.33 or 33%. (ANSWER)
And, the new correct function is:
f(x)_3 = 4 (1 + 0.33)^3x
or
f(x)_3 = 4 (1.33)^3x (ANSWER)