Answer:
a) Given expression,
12% of 312
Since 100% of 312 = 312
⇒ 10% of 312 = 31.2,
⇒ 1% = 3.12
⇒ 2% = 2 × 3.12 = 6.24
So, 12% of 312 = 10% of 312 + 2% of 312
= 31.2 + 6.24
= 37.44
b) Given,
Total number of servings = 312,
The percentage of vitamin C in each serving = 12%,
Thus, the total amount of the vitamin C in 312 servings = 12% of 312
= 37.44,
Hence, the question can be asked about the total amount of the vitamin C.
ANSWER
EXPLANATION
We want to find the number of years that it will take the population to double.
To do this, we have to apply the exponential growth function:
where y = final value
a = initial value
r = rate of growth
t = time (in years)
For the population to double, it means that the final value must be 2 times the initial value:
Substitute the given values into the function above:
To solve further, convert the function from an exponential function to a logarithmic function as follows:
Solve for t:
It will take 9 years for the population to double.
Answer:
f(x) = > f(x) = -0.5x² > f(x) = x²
Step-by-step explanation:
In a quadratic function leading coefficient decides the width of a graph.
In simpler words, leading coefficient decides the vertical stretch of the graph.
Higher the value of leading coefficient, higher the vertical stretch.
When a graph is vertically stretched it becomes narrower.
(Note: Minus sign of the coefficient decides the opening of the graph, upwards or downwards)
Therefore, f(x) = x² having coefficient = 1 is the narrowest and f(x) = will be the widest.
So the descending order will be,
f(x) = > f(x) = -0.5x² > f(x) = x²