Answer:
With what?
Step-by-step explanation:
If the plane is starting from rest, then the acceleration <em>a</em> that it needs in order to speed up to 324 km/h = 90.0 m/s over a distance of 1.35 km = 1350 m satisfies
(90.0 m/s)² = 2<em>a</em> (1350 m) ==> <em>a</em> = 3.00 m/s²
(use the kinematic equation, <em>v</em> ² - <em>v₀</em>² = 2<em>a</em> ∆<em>x</em>)
and the amount of time <em>t</em> needed to reach this speed is such that
90.0 m/s = (3.00 m/s²) <em>t</em> ==> <em>t</em> = 30.0 s
(<em>v</em> = <em>v₀</em> + <em>at </em>)
Answer:
(A) Mean = 84
(B) Variance = 118.714
(C) Standard deviation = 10.89
Step-by-step explanation:
Data provided:
number of observations, n = 15
sample of 15 costco customer satisfaction scores follow
X
95 11 121
90 6 36
83 -1 1
64 -20 400
95 11 121
98 14 196
80 -4 16
83 -1 1
82 -2 4
93 9 81
86 2 4
80 -4 16
94 10 100
75 -9 81
62 -22 484
================================================
∑X = 1260 ∑= 1662
Now,
(A) Mean =
or
Mean = = 84
(B) Variance =
or
Variance =
or
Variance = 118.714
(C) Standard deviation = √Variance = √118.714 = 10.89
<h3>Given</h3>
Future value of an investment at 4.75% compounded weekly is $25,000
<h3>Find</h3>
The present value of the investment, to the nearest dollar
<h3>Solution</h3>
The multiplier is (1 + .0475/52)^(52·5) ≈ 1.2679375, so the amount required is found from
... 1.2679375×present value = 25,000
... present value = 25,000/1.2679375 ≈ 19,717
$19,717 needs to be placed in the account now.
_____
When an annual interest rate r is compounded n times per year, the annual multiplier is (1 +r/n)^n. Here, we have n=52 (weeks per year). The multiplier is applied 5 times (raised to the 5th power) to obtain the result of a 5-year investment.