Answer:
About 31 years
Step-by-step explanation:
Given data
Principal= $3500
Rate= 4.75%
Final amount= $15,000
Time=??
The expression for time on compound interest is
Calculate time, solve for t
t = ln(A/P) / r
substitute
Calculate time, solve for t
t = ln(15000/3500) / 0.0475
t= ln(4.2857)/ 0.0475
t= 1.4552/0.0475
t= 30.63 years
Hence it will take about 31 years
Lagrange multipliers:







(if

)

(if

)

(if

)
In the first octant, we assume

, so we can ignore the caveats above. Now,

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of

.
We also need to check the boundary of the region, i.e. the intersection of

with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force

, so the point we found is the only extremum.
Answer: 67
Step-by-step explanation:
3x^2 + 5x + 25
x = 3
3(3)^2 + 5(3) + 25
3^2 = 9
3(9) + 5(3) + 25
3 * 9 = 27
27 + 5(3) + 25
5 * 3 = 15
27 + 15 + 25
27 + 15 = 42
42 + 25 = 67
Answer:
2x + 20 = 3x-10
2x -3x = -20-10
-x = -30
x= 30
Checking part:
2x+20 = 2(30) +20 = 60+20 = 80
3x-10 = 3(30) - 10 = 90-10 = 80
Hence, the final answer is x = 30.
Step-by-step explanation:
it would be 692,000 even though it may look odd since the place holder for 100 is a 0