<span>6x^2+30x-36
= 6 (</span><span>x^2 + 5x - 6)
= 6 (x - 1)(x + 6)
hope it helps</span>
Standard form is Ax + By = C, or By = C - Ax.
Dividing both sides by B, we get y = C/B - (A/B)x
Here the y intercept is C/B, and the slope is -A/B.
It would be 110x because they are like units, so they can be added together. Really, you are just doing 80 plus 30, and then adding an x on the end.
Answer:
Given that the p-value is greater than 0.05, rejecting the null hypothesis and concluding that the mean time was not greater than 60 minutes
Answer:
28 years
Step-by-step explanation:
To find the number of years that the investment will reach $3500, we can use the formula of compound interest:
P = Po * (1+r)^t
where P is the final value, Po is the inicial value, r is the annual interest and t is the time in years.
In this question, P = 3500, Po = 1800 and r = 2.46% = 0.0246, so:
3500 = 1800 * (1+0.0246)^t
1.0246^t = 3500/1800
1.0246^t = 1.9444
Using logarithm in both sides:
log(1.0246^t) = log(1.9444)
t*log(1.0246) = 0.2888
t * 0.0106 = 0.2888
t = 0.2888 / 0.0106 = 27.2453 years
So the investment will reach $3500 after 28 years (rounding the result up, because after 27 years the investment will not reach $3500)
