Answer:
752 below sea level
just took it.
Step-by-step explanation:
M< means to measure so I would measure
Let x be the height of the box and y be the length of one side of the base then:-
V = xy^2 = 108
x = 108/y^2
Surface area = y^2 + 4xy
S = y^2 + 4y* 108/y^2
S = y^2 + 432/y
Finding the derivative:-
dS/dy = 2y - 432/y^2 = 0
2y^3 = 432
y^3 = 216
y = 6
Check if this gives a minimum value:-
second derivative = 2 + 864/y^3 which is positive so minimum.
V = xy^2 = 108
36y = 108
y = 3
Answer :- dimensions of the box is 3*6*6 metres
Answer:
40%.
Step-by-step explanation:
We have been given that an amount of $100 compounded annually is increased to $196 in 2 years. We are asked to find the interest rate.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
t = Time in years.
Upon substituting our given values in above formula, we will get:




Take positive square root of both sides:


Since interest rate is in decimal, form, so we will convert it into percentage as:

Therefore, the interest rate was 40%.
Answer:
31.9%
Step-by-step explanation:
We have that,
Total number of adults = 80
Number of people that would buy a car from a friend = 25
So, the number of people that would not buy a car from a friend = 80-25 = 55.
Since, three people are selected randomly.
Thus, the probability that none of them would buy a car from a friend is given by,

i.e. 
i.e. 
i.e. 
i.e. 
i.e. 0.319
Thus, the probability of people who would not buy a car from a friend is 0.319 i.e. 31.9%