So percent means parts out of 100 so 75%=75/100=3/4
3/4 of 30
'of' means multiply
3/4 times 30=90/4=45/2=22.5
22.5 is the answer (or 22 and 1/2)
Answer:
Step-by-step explanation:
Answer:
- f(t) = 100·1.845^(t/10)
- $1025.15
Step-by-step explanation:
(a) The given numbers can be put directly into the form ...
... f(t) = (initial value) · (ratio)^(t/(time to achieve that ratio))
Here, we have an intial value of $100, and a ratio of $184.50/$100 = 1.845. The time to achieve that multiplication is 10 years (1967 to 1977). So, the equation can be written ...
... f(t) = 100·1.845^(t/10)
(b) You want to find f(38).
... f(38) = 100·1.845^(38/10) = 100·1.845^3.8 ≈ 1025.15 . . . dollars
Answer:
So the radius is increasing at
.
This is approximately 0.00497 cm/min that the radius is increasing.
Step-by-step explanation:

The volume and radius are both things that are changing with respect to time.
So their derivatives will definitely not be 0.
Let's differentiate:

I had to use constant multiple rule and chain rule.
We are given
and
.
We want to find
.
Let's plug in first:



Multiply both sides by 3:


Divide both sides by
:


So the radius is increasing at
.
This is approximately 0.00497 cm/min that the radius is increasing.