Answer:
2
Step-by-step explanation:
1+1=2 and 2=2
Answer:
middle left
Step-by-step explanation:
Answer:
R (t) = 60 - 60 cos (6t)
Step-by-step explanation:
Given that:
R(t) = acos (bt) + d
at t= 0
R(0) = 0
0 = acos (0) + d
a + d = 0 ----- (1)
After
seconds it reaches a height of 60 cm from the ground.
i.e


Recall from the question that:
At t = 0, R(0) = 0 which is the minimum
as such it is only when a is negative can acos (bt ) + d can get to minimum at t= 0
Similarly; 60 × 2 = maximum
R'(t) = -ab sin (bt) =0
bt = k π
here;
k is the integer
making t the subject of the formula, we have:

replacing the derived equation of k into R(t) = acos (bt) + d

Since we known a < 0 (negative)
then d-a will be maximum
d-a = 60 × 2
d-a = 120 ----- (3)
Relating to equation (1) and (3)
a = -60 and d = 60
∴ R(t) = 60 - 60 cos (bt)
Similarly;
For 

where ;

Then b = 6
∴
R (t) = 60 - 60 cos (6t)
Answer:
His total earnings for sales of $948 is $425.84
Step-by-step explanation:
Let the percentage of his commission be a percentage with its value represented as x and b be his base salary , y as his total earnings
So we have;
y = x% of sales + base salary
for 849 sales and 417.92 , we have
417.92 = 8.49x + b •••••••(i)
for 1011 sales and 430.88 servings
430.88 = 10.11x + b ••••••(ii)
Subtract i from ii
12.96 = 1.62x
x = 12.96/1.62
x = 8
To get b, we substitute
430.88 = 10.11(8) + b
b = 430.88 - 10.11(8) = 350
Commission is 8% , base earnings is $350
So for total sales of 948;
y = 8% of 948 + 350
y = $425.84