Answer:
The amount of money originally invested which is the principal P = 5,000
Step-by-step explanation:
Using the compound interest formula, the return on investment can be represented on the interest function as;
f(x) = P(1+r)^x
Where
P is the principal which is the initial investment.
r = rate Proportion
x = time (number of years)
Comparing to the given function;
f(x) = 5,000(1 + 0.04)^x
We can see that;
Principal P = 5,000
Rate r = 0.04
time = x
The amount of money originally invested which is the principal P = 5,000
Answer:
Change In velocity= 13.72 ms^-1
Step-by-step explanation:
fish experiences an acceleration of
9.8 m/s^2 over a period of 1.4s
Change in velocity/time= acceleration
Time in seconds= 1.4 s
Acceleration in meter per second square= 9.8 m/s^2
Change in velocity/time= acceleration
Change In velocity= acceleration*time
Change In velocity= 9.8*1.4(m/s^2 *s)
Change In velocity= 13.72 ms^-1
Answer:
0.24
Step-by-step explanation:
These events are not mutually exclusive; this means they can happen at the same time.
For two events A and B that are not mutually exclusive,
P(A and B) = P(A) * P(B|A)
Let A be the event "over 21 years old" and B be the event "drinks alcohol".
The probability that a student is over 21 years old is 0.3; this is because 30% of the students are over 21 years old.
The probability that a student drinks alcohol given they are over 21 is 0.8.
This gives us
P(A and B) = 0.3(0.8) = 0.24
Answer:
Option C. $6,012
Step-by-step explanation:
we know that
The formula to calculate the depreciated value is equal to
where
V is the the depreciated value
P is the original value
r is the rate of depreciation in decimal
t is Number of Time Periods
in this problem we have
t = 7 years
P = $8,000
r = 0.04
substitute in the formula above
Hope this helps :)
Answer:
The length of the circumference is 
or 
Step-by-step explanation:
<u><em>The question in English is</em></u>
On a court, the central circumference will be painted, which has a diameter of 5 m. What is the length of the circumference?
we know that
The circumference of a circle is given by the formula
we have
substitute
This is the exact value
assume
