Answer:
2
Step-by-step explanation:
Answer:
$40
Step-by-step explanation:
The earnings of Gabriel can be calculated with the formula:
P = Po * (1 + r/n)^(nt)
Where P = 900, r = 0.0325, n = 365 and t = 19
So we have:
P = 900 * (1 + 0.0325/365)^(365*19) = $1,668.81
The earnings of Daniel can be calculated with the formula:
P = Po * e^(rt)
Where Po = 900, r = 0.03375 and t = 19
So we have:
P = 900 * e^(0.03375*19) = $1,708.97
So the amount that Daniel will have more than Gabriel is:
1708.97 - 1668.81 = $40.16
Rounding to nearest dollar, the difference is $40
Answer:
range of scores on final exam student get B is 90 to 100
Step-by-step explanation:
given data
Psychology 101 score = 66
average of his midterm = between 78 and 90
maximum = 100 points
to find out
range of scores on final exam student get B
solution
we consider here lowest marks need in final = x
so average at two marks should be
equation is
average marks = 0.5 × ( mid term marks + final marks ) .................1
put here value
78 = 0.5 × ( 66 + x )
x = 90
and
90 = 0.5 × ( 66 + x )
x = 114
so range 90 to 114
but maximum marks is 100 so
range of scores on final exam student get B is 90 to 100
Answer:
5x
Step-by-step explanation:
I think the problem was.
3(3x - 2y) - (4x - 6y)
9x - 6y - 4x + 6y
5x
Answer:
a) integral = 24.72
b) |Error| ≤ 0.4267
Step-by-step explanation:
a)
The integral:
can be approximated with the midpoint rule, as follows:
6.7*(0.8 - 0.0) + 8.9*(1.6 - 0.8) + 6.9*(2.4-1.6) + 8.4*(3.2 - 2.4) = 24.72
(that is, all the intervals are 0.8 units length and f(x) is evaluated in the midpoint of the interval)
b)The error bound for the midpoint rule with <em>n</em> points is:
|Error| ≤ K*(b - a)^3/(24*n^2)
where <em>b</em> and are the limits of integration of the integral and K = max |f''(x)|
Given that -5 ≤ f''(x) ≤ 1, then K = 5. Replacing into the equation:
|Error| ≤ 5*(3.2 - 0)^3/(24*4^2) = 0.4267
