Step-by-step explanation:
10 % each month is $12.00 12 months in a year 12 x 12.00 = $144.00
Answer:
Here we just want to find the Taylor series for f(x) = ln(x), centered at the value of a (which we do not know).
Remember that the general Taylor expansion is:
for our function we have:
f'(x) = 1/x
f''(x) = -1/x^2
f'''(x) = (1/2)*(1/x^3)
this is enough, now just let's write the series:
This is the Taylor series to 3rd degree, you just need to change the value of a for the required value.
Answer:
Step-by-step explanation:
y=x+7.........(1)
y=3x+5.......(2)
Equating the two equations
3x +5 = x + 7
3x -x = 7 - 5
2x = 2
x = 2/2
x = 1
Putting x = 1 in (1)
y = x + 7
y = 1 + 7
y = 8
We set up a proportion: ?/42,000= 3/5
Cross multiply:
5*?= 3*42,000
⇒ ?= 3*42,000/5= 25,200
3/5 of 42,000 is 25,200~
Answer:
0.33696
Step-by-step explanation:
Given that:
Probability of showing up head (p) = 0.6
Number of flips = number of trials = 5
Probability of getting more than 3 heads
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x> 3) = p(4) + p(5)
P(x = 4) = 5C4 * 0.6^4 * 0.4^1 = 0.2592
P(x = 5) = 5C5 * 0.6^5 * 0.4^0 = 0.07776
Hence,
0.2592 + 0.07776
= 0.33696
