Answer:
100 +3s≥ 160
You must sell as least 20 items
Step-by-step explanation:
You make 100 plus 3 dollars per sale
100 +3s
It must be at least 160
100 +3s≥ 160
Now we need to solve to see how many sales
100 +3s≥ 160
Subtract 100 from each side
100-100 +3s≥ 160-100
3s≥ 60
Divide each side by 3
3s/3≥60/3
s≥20
You must sell as least 20 items
Answer:
The solution to the differential equation
y' = 1 + y²
is
y = tan x
Step-by-step explanation:
Given the differential equation
y' = 1 + y²
This can be written as
dy/dx = 1 + y²
Separate the variables
dy/(1 + y²) = dx
Integrate both sides
tan^(-1)y = x + c
y = tan(x+c)
Using the initial condition
y(0) = 0
0 = tan(0 + c)
tan c = 0
c = tan^(-1) 0 = 0
y = tan x
Answer:
28 years
Step-by-step explanation:
To find the number of years that the investment will reach $3500, we can use the formula of compound interest:
P = Po * (1+r)^t
where P is the final value, Po is the inicial value, r is the annual interest and t is the time in years.
In this question, P = 3500, Po = 1800 and r = 2.46% = 0.0246, so:
3500 = 1800 * (1+0.0246)^t
1.0246^t = 3500/1800
1.0246^t = 1.9444
Using logarithm in both sides:
log(1.0246^t) = log(1.9444)
t*log(1.0246) = 0.2888
t * 0.0106 = 0.2888
t = 0.2888 / 0.0106 = 27.2453 years
So the investment will reach $3500 after 28 years (rounding the result up, because after 27 years the investment will not reach $3500)
Answer:
54
Step-by-step explanation:
Substitute n into the equation:
-2(3)[5+3-8-3(3)]
-6[-9]
+54
4(-2)^2(-1)^3
4 x 4 x -1
Correction answer D: -16
