5 hours because 800/25=32
32= 2^5
25 X 1 = 25
25 X 2 = 50 AFTER FIRST HOUR
25 X 2^5 = 800 AFTER FIFTH HOUR
Answer:

Step-by-step explanation:

Add 25 to both sides:


Square root both sides:
(Since a negative number multiplied by itself gives positive, there are two answers.)

Answer:
$56,558.1
Step-by-step explanation:
This is a question on compound interest.
The formula to calculate the Total Amount based on compound interest is given as:
A = P( 1 + r/n) ^nt
A = Total or Final amount in the account after t years
P = Principal/ Initial amount invested=$35,000
r = Interest rate = 12%
n = compounding Frequency = daily = using 30 days in a month = 30 × 12 = 360 days
t = time in years = 4
A = $35,000( 1 + 0.12/360)^360 × 4
A = $56558.08
Approximately to the nearest cent ≈ A = $56,558.1
Therefore, Priscilla should be expecting $56,558.1 in the account after 4 years.
Answer:
Step-by-step explanation:
lets say in the shown triangle x=165
so speed 
and 
Also since distance = speed* time
time = pi minutes = pi/60 seconds
y = 
y = 
Now using the pythagorean :

<u>derivate the equation so we get :</u>


m/s
So Rate of change = <u><em>25.387 m/s</em></u>
Answer:
Steps below
Step-by-step explanation:
(3/x²)+ 2/x =1 (x ≠ 0)
(3/x²) + 2x/x² = 1
(3 + 2x) / x² = 1
3 + 2x = x²
x² - 2x - 3 = 0
(x + 1) (x - 3) =0
x = -1 or x = 3