Answer:
A - $10
Step-by-step explanation:
The equation f(x) = 0.50x + 10 is in the form
y = mx + c where m is the gradient and c is the intercept.
The price of the entrance fee will be the intercept because that is when x is equal to 0, meaning it will be $10.
Answer:
x = π/4 and 5π/4
Step-by-step explanation:
Given the expression;
2cos²x - 1 = 0
2cos²x = 0+1
2cos²x = 1
cos²x = 1/2
cos x = ±√1/2
cos x = ±0.7071
x = arccos(±0.7071)
x = ±45 degrees
Convert to radians
Sence 180° = π rad
45° = x
x = 45π/180
x = π/4
If x = -45°
Since cos is negative in the 3rd quadrant
x = 180 + 45
x = 225°
x = 225π/180
x = 45π/36
x = 5π/4
Answer:
$61
Step-by-step explanation:
Given
Number of days, x = 5
Expenditure per day, E'(x) = 10x + 11
Required
Determine the expenditure per day (E'(x))
From the question, we have that

Substitute 5 for x



Hence, the expenditure for 5 days is $61
Answer:

Step-by-step explanation:
We know i×i=i^2 which has value of -1.
We will multiply numerator and denominator by i so the denominator will no longer contain imaginary part(s).
Also multiplying by i/i does not change the value of the fraction because i/i=1.
Numerator × i gives (-5+i)i=-5i+i^2=-5i-1
=-1-5i.
Denominator × i gives (2i)i=2i^2=-2.
So the simplified version of this fraction given is:

The last simplification come from me multiplying fraction by -1/-1.