I would say (I am abbreviating square root to sqrt)
1. 4 sqrt(8488) = 4 sqrt(2x2x2122) = 8 sqrt(2122)
2. 3 sqrt(6936) = 3 sqrt(6x34x34) = 102 sqrt (6)
3. 2 sqrt(8648) = 2 sqrt(2x2x2162) = 4 sqrt(2162)
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Step-by-step explanation:
The given is,
Future value, F = $15,000
Interest, i = 5.9%
( compounded continuously )
Period, t = 12 years
Step:1
Formula to calculate the present with compounded continuously,
...............(1)
Substitute the values in equation (1) to find the P value,
( ∵
)

( ∵
)
We change the P (Present value) into the left side,


≅ 7389.43
P = $ 7389.43
Result:
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Answer:
Approximately 24–36 pounds
Step-by-step explanation:
Given:
Weight of standard American Eskimo dog has mean= 30 pounds
A standard deviation= 2 pounds
For 99.7% of the dogs according to normal distribution would lie between 3 standard deviations on either side of the mean.
i.e. lower bound= Mean- 3 (standard deviation)
= 30-3(2)
=30-6
=24
Upper bound = Mean +3 (standard deviation)
= 30+3(2)
=30+6
=36
Hence the range of weights : 24-36 pounds
correct answer Approximately 24–36 pounds!
Answer:
60 minutes
Step-by-step explanation:
The distance formula is:
D = RT
Where
D is distance (in miles)
R is rate (in miles per hour)
T is time (in minutes)
Given,
D = 14 miles
R = 14 miles per hour
We want to find T, so we have:

So the time is 1 hour
We want in minutes, and we know 60 minutes is 1 hour, so the time (in minutes) is 60 minutes