Answer:
6745.09
Step-by-step explanation:
If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...
FV = P(1 +r/12)^(12·t)
for P = 5000, r = .05, t = 6.
Doing the arithmetic, we get ...
FV = 5000(1 +.05/12)^(12·6) ≈ 6745.09
After 6 years, the bank account will be worth 6745.09.
_____
We made a comment about the interest rate, because the annual <em>yield</em> is about 5.116%. If the <em>annual yield</em> is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)
Usually, the wording would be that the account <em>earns</em> 5% interest compounded monthly.
<span>(a) This is a binomial
experiment since there are only two possible results for each data point: a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).
(b) Using the formula:</span><span>
P(r out of n) = (nCr)(p^r)(q^(n-r)), where n = 10 flights, r = the number of flights that arrive on time:
P(7/10) = (10C7)(0.8)^7 (0.2)^(10 - 7) = 0.2013
Therefore, there is a 0.2013 chance that exactly 7 of 10 flights will arrive on time.
(c) Fewer
than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).
Following the same formula (this can be done using a summation on a calculator, or using Excel, to make things faster):
P(0/10) + P(1/10) + ... + P(6/10) = 0.1209
This means that there is a 0.1209 chance that less than 7 flights will be on time.
(d) The probability that at least 7 flights are on time is the exact opposite of part (c), where less than 7 flights are on time. So instead of calculating each formula from scratch, we can simply subtract the answer in part (c) from 1.
1 - 0.1209 = 0.8791.
So there is a 0.8791 chance that at least 7 flights arrive on time.
(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us
0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.
</span>
Answer:
y = 2x - 3
Step-by-step explanation:
We are asked to find the equation of a straight line
Step 1: find the slope
( 2 , 1) ( 5 , 7)
x_1 = 2
y_1 = 1
x_2 = 5
y_2 = 7
Insert the values into the equation
m = (y_2 - y_1 )/ (x_2 - x _1)
m = (7 - 1 )/ (5 - 2)
m = 6/3
= 2
Step 2: substitute m into the equation
y = mx + c
y = 2x + c
Step 3 : sub any of the two points given into the equation
Let's use ( 2, 1)
x = 2
y = 1
y = 2x + c.
1 = 2(2) + c
1 = 4 + c
c = 1 - 4
c = -3
Step 4: sub c into the equation
y = 2x + c
y = 2x - 3
A cause she measured the side of it
Answer:
switch your 5 and 6
Step-by-step explanation:
I think the equation would be
53x5=265
also not to be that person, but its *times
