To solve this we are going to use the formula for compounded interest:

where

is the final amount after

years

is the initial amount

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the time in years
We know for our problem that

,

, and

. Since the interest is compounded daily, it is compounded 365 times in year; therefore,

. Lets replace those values in our formula to find

:



We can conclude the amount in Diane's after 3 years will be <span>
$1,603.31</span>
Answer:
-25 ,B
Step-by-step explanation:
Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²

Differentiating with respect to t


Since the car driving towards the intersection at 13 m/s.
so,

Now



= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Answer:
150.72
Step-by-step explanation:
3² × 3.14 × 6 - 1² × 3.14 × 6 = (3² - 1²) × 3.14 × 6 = 150.72
Answer:
I tried solving it and didn't get same exact numbers but I got 8.67 million people so it might be answer choice B.