Answer:

Step-by-step explanation:
A diameter is two times longer than a radius. Therefore, if the diameter
d = 24in, then the radius r = (24in) : 2 = 12in.
The formula of an area of a circle:

Substitute:


Then

Answer:
E' (-2,5)
F' (-3,1)
G' (-2,-1)
H' (0,3)
Step-by-step explanation:
The rule for 90 degree clockwise rotation is (h,k) -> (k,-h). This means flip the x-value's sign and then switch x and y's position. For example E (-5,-2), first flip x's sign (5,-2) and then switch x and y's places (-2,5).
Answer:
£807.84
Step-by-step explanation:
Cost of Collins car insurance per year = £766.45
Percentage increase in price = 5.4%
How much does the insurance cost now?
Cost of the insurance now = £766.45 + 5.4% of £766.45
= 766.45 + 5.4/100(766.45)
= 766.45 + 0.054(766.45)
= 766.45 + 41.3883
= 807.8383
Cost of the insurance now = £807.84
Answer:
The model for the temperature of the drink can be written as

Step-by-step explanation:
For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.
We can model that in this way

If we rearrange and integrate

We know that at time 0, the temperature of the drink was 52°F. Then we have:

We also know that at t=2, T=55°F

The model for the temperature of the drink can be written as
