Answer: 8.5 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) =18/100 = 0.18
t= years
A = population after t years
Replacing with the values given:
192,000 = 47,000 (1+ 0.18)^t
Solving for t:
192,000/47,000 = 1.18^t
4.08 =1.18^t
ln 4.08 = ln 1.18^t
ln 4.08 =t (ln 1.18)
ln 4.08 / ln 1.18 =t
8.5 years = t
Feel free to ask for more if needed or if you did not understand something.
Answer:
25 boys
Step-by-step explanation:
1 of 3 kids was a boy, so (1/3)·75 = 25 were boys.
Well since the triangle is split into 2 triangles and they both are the same size so BD on the bottom is 15 which means naturally BC must be 30. Five I'm not sure about
Answer:
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Answer: y = 2x/3 - 5
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent.
The given line has a slope of 2/3 and it passes through (0,- 5)
To determine the intercept, we would substitute x = 0, y = - 5 and m= 2/3 into y = mx + c. It becomes
- 5 = 3/2 × 0 + c
c = - 5
The equation becomes
y = 2x/3 - 5