Answer:
x < -1/2
Step-by-step explanation:
Starting with -x/6>3, multiply both sides by -1/6, to remove fractions. Remember to reverse the direction of the inequality sign, which is required because we're multiplying -x/6>3 by a negative number.
x < 3(-1/6), or x < -1/2
Answer:
The four investments are possible.
Step-by-step explanation:
Investor has 200k to invest,
The 4 investment are:
1. Apple inc
2. B inc
3. C inc
4. D inc
Assuming the other three investments are B, C and D.
If 50k is invested in Apple inc, how much is left?
200k -50k = 150k
This remaining 150k can shared equally amongst the other three investments ;
150/ 3 = 50
Therefore each investment will get 50k each.
Answer:
10th term: 40
11th term: 45
12th term: 50
Step-by-step explanation:
Substitute 10, 11 and 12 as n and solve the equation.
You will need $840 , That’s it ! Thank me later
Answer:
y = 1/e
y = 0.37
Step-by-step explanation:
y = (ln x)/x; (e, 1/e)
Step 1
Find the point of tangency.
It's given as (e,1/e) or (2.72,0.37)
Step 2
Find the first derivative, and evaluate it at x=e
Using product rule.
d(uv) = udv + vdu
Where u = lnx and v = 1/x
du = 1/x , dv = -1/x^2
f'(x) = -lnx/x^2 +1/x^2
f'(x) = (1-lnx)/x^2
At x = e
f'(e) = (1-lne)/e^2
f'(e) = 0
The slope of the tangent line at this point is m= 0
Step 3
Find the equation of the tangent line at (e,1/e) with a slope of m=0
y−y1 = m(x - x1)
y-(1/e) = 0(x-1)
y = 1/e
y = 0.37