Answer:
Step-by-step explanation:
Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have
Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising
<em>P(0) = 0 and P(50) = 1,500,000
</em>
We have and ordinary differential equation of first order that we can write
The <em>integrating factor </em>is
Multiplying both sides of the equation by the integrating factor
Hence
Integrating both sides
But P(0) = 0, so C = -3,000,000
and P(50) = 1,500,000
so
And the equation that models the number of people (in millions) who become aware of the product by time t is
We are given
Clare is paid $90 for 5 hours of work
Total money paid =$90
total hours of work =5 hours
so, firstly we will find rate of work
rate of work = ( total money paid)/( total hours of work)
now, we can plug values
and we get
The rate of work is
$/ hour
now, we have to find time for amount paid is 25 cents
so, amount paid =25 cents
100 cents =1$
so, amount paid =$ 0.25
Since, the rate is constant
so, we can take same rate here
now, we can use formula
rate of work = ( total money paid)/( total hours of work)
now, we can plug values
now, we can solve for T
hour
since, T is in hours
so, we can change into seconds
1 hour =3600seconds
so, we can plug
seconds
seconds......................Answer
Multiply both sides by 2.3, ( tan 6° x 2.3 = f )
Regroup terms, 2.3 tan 6 = f.
F = 2.3 tan 6°
So the answer is tan 6 = tan 6 I think
Answer:
B is incorrect because you could set them equal to each other
Answer:
∠ XYZ ≈ 72.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanXYZ = 
= 
= 
, thus
XYZ = 
( ) ≈ 72.9° to 1 dec. place )
