The formula is
A=p (1+r/k)^kt
A future value?
P present value 300
R interest rate 0.013
k compounded monthly 12
T time 10 years
A=300×(1+0.013÷12)^(12×10)
A=341.62
Answer:
C. 
is correct
Step-by-step explanation:
We are given that,
The region bounded by 
is given in the figure below.
Now, as we have,
Area of the bounded region = 
,
where f(x) represents the upper curve and f(x) represents the lower curve in the bounded region.
So, as we see that,
The upper curve in the given region is 
and the lower curve is 
.
Thus, the integral showing the area of the given region is,
Hence, option C is correct.
Answer:
832000
Step-by-step explanation:
2*8000*52
We will assume that we have a function relating between the time and the temperature. Any point in this function can be expressed as (x,y) where x is the time and y is the temperature (any point is expressed as (time, temperature)).
We have two points given:
<span>At 7 p.m. the temperature is 72 degrees F: First point is (7,72)
</span><span>At 10 p.m. the temperature is 52 degrees F: Second point is (10,52)
The rate of change is simply the slope of this function, this slope can be calculated as:
rate of change = (y2-y1) / (x2-x2)
we have y2= 52, y1= 72, x2= 10 and x1= 7
Substituting in the equation, we can calculate the rate of change as follows:
rate of change = (52-72) / (10-7) = -6.667 degrees/hours
Note: The negative sign indicated a DECREASE in the temperature.</span>
This question can be solved using a ratio.
3/5 : 3/20
x : 1
x/1 = (3/5) / (3/20)
x = (3/5) x (20/3)
x = 4 miles
