We have been given that Bobby's investment of $225,000 loses value at a rate of 3% per year. We are asked to find the value of the investment after 10 years.
We will us exponential decay function to solve our given problem.
We know that an exponential function is in form 
, where,
y = Final amount,
a = Initial amount,
r = Decay rate in decimal form,
x = Time.
Let us convert 3% into decimal.
Upon substituting 
, 
and 
, we will get:
Upon rounding to nearest dollar, we will get;
Therefore, the value of the investment after 10 years would be 
.
Answer:
Step-by-step explanation
Look at it this way:
If you increase something by 80 percent, your multiplying it by 1.8. This goes the same way for 50 percent. If you multiply 1.8 by 1.5, you will get 2.7. Then convert 2.7 to increasing something by 170 percent. So the answer is 170 percent.
Answer:
<em>The distance between the two villages is 16.5 Km</em>
Step-by-step explanation:
<u>Constant Speed Motion</u>
It's a type of motion in which the distance of an object changes by an equal amount in every equal period of time.
If v is the constant speed, the object travels a distance x in a time t, given by the equation:
x=vt
Amar cycles at v=18 Km/h for t=55 minutes. We need to calculate the distance traveled between the two villages.
Since the speed and the time are given in different units, we convert the time to hours, recalling that 1 hour=60 minute.
t=55 min = 55/60 hours
For the sake of precision, we won't operate the division so far. Compute the distance:
x=18 *55/60=16.5 Km
The distance between the two villages is 16.5 Km
Answer: 289 units
Step-by-step explanation:
Given the following :
Inventory (I) = 180
Lead time (L) = 7 days
Review time (T) = 2 weeks = 14 days
Demand (D) = 20
Standard deviation (σ) = 5
Zscore for 95% probability = 1.645
Units to be ordered :
D(T + L) + z(σT+L)
(σT+L) = √(T + L)σ²
= √(14 + 7)5²
= √(21)25
= 22.9
D(T + L) + z(σT+L) - I
20(14 + 7) + 1.645(22.9 + 7) - I
= 420 + 49.1855 - 180
= 289.1855
= 289 quantities
