The approximate value of q in the equation below is 0.584
<h3>Logarithmic functions</h3>
Given the log expression as shown below;
q + log2(6) = 2q + 2
Collect the like terms
q - 2q = 2 - log(2)6
-q = 2 - log(2)6
-q = log(2)4 - log(2)6
-q = 2 -2.584
-q = -0.584
q = 0.584
Hence the approximate value of q in the equation below is 0.584
Learn more on logarithm here: brainly.com/question/237321
You find this value by factoring. Factoring finds the zeros of the function. When the ball hits the ground, it has 0 height. Therefore, when the function goes through the x axis, it has a y value of 0. That means that when y = 0, the ball has hit the ground. Use the quadratic formula to factor

. Notice I rearranged the terms. When you factor that you get zeros of -3.19 and 2.19. The two things in math that will never EVER be negative are time and distance/length. Therefore, that tells us that the ball hits the ground 2.19 seconds after it was thrown.
Answer:
D. 16.6
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under

Where


Replacing these values in the distance formula






Hence the Distance is 16.60 units
Answer: $2,833.47
Step-by-step explanation:
Part 1:
n = [lnA - lnP] / ln(1 + i)
n = [ln15000 - ln10000] / ln(1 + 0.03)
n = [9.6158 - 9.2103] / 0.0296
n = 13.70
13 years, 8 months, and 12 Days
Part 2:
P = A / [(1 + i)n]
P = 15000 / [(1.03)4]
P = 15000 / 1.1255
P = $13,327.31
Part 3:
A = 10000 (1 + 0.04)5
A = $12,166.53
The amount of money you need to save to buy a car at $15,000 would be;
$15,000 - $12,166.53
=> $2,833.47