Answer:
3/5
Step-by-step explanation:
George shouldn't think too far.
He should use the formula for Compound Interest.
Amount in compound interest, A = P(1+ r/100)ⁿ.
Where A = Amount, P = Principal, r is the rate per year, n = number of years.
Note: the expression (1+ r/100) is raised to power n.
From George's problem: P = 750, r = 22, I guess number of years , n = x
A(x) = 750( 1 + 22/100)ˣ
A(x) = 750( 1 + 0.22)ˣ
From your options I can't see an answer. Except the expression of option (A) is actually raised to power x, and not times x as stated in the option.
Answer:
Range = (237100, 292900)
Step-by-step explanation:
Using Chebyshevs Inequality:
Thus, 88.9% of the population is within 3 standard deviation of the mean with the Range = μ ± kσ
where;
μ = 265000
σ = 9300
Range = 265000 ± 3(9300)
Range = 265000 ± 27900
Range = (265000 - 27900, 265000 + 27900)
Range = (237100, 292900)
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer:
3t +2
Step-by-step explanation:
In order to combine the like terms, you look at the constants and the variables. A variable has a letter in it. When looking at this expression, you find that there are two variables, 4t and -t. You then simplify these variables, getting 3t because it is 4t - t. Now, there is a two left, and since that ISN'T a variable, and is a constant, we can't do anything with it because we cannot combine it with anything else in the expression. Your guess was partially right ;)
Hope this helped!
