1. Observe problem
Solve for the area and Circumference of a circle who's radius is 3 cm
Area for circle formula:
pi*r^2=
9pi
I simplicity is needed, 9 pi is around
28.2743338823cm^2
Circumference for circle formula: 2*pi*r
which is
6pi
if simplicity is again needed, its around
18.8495559215cm
The expression -> 4 • 2 - 3
the answer to the expression would be 5
(tan(<em>x</em>) + cot(<em>x</em>)) / (tan(<em>x</em>) - cot(<em>x</em>)) = (tan²(<em>x</em>) + 1) / (tan²(<em>x</em>) - 1)
… = (sin²(<em>x</em>) + cos²(<em>x</em>)) / (sin²(<em>x</em>) - cos²(<em>x</em>))
… = -1/cos(2<em>x</em>)
Then as <em>x</em> approaches <em>π</em>/2, the limit is -1/cos(2•<em>π</em>/2) = -sec(<em>π</em>) = 1.
9514 1404 393
Answer:
11
Step-by-step explanation:
The future value of the account is given by the formula ...
A = P(1 +r/12)^(12t) . . . . principal P invested at rate r for t years
Solving for t, we find ...
A/P = (1 +r/12)^(12t) . . . . . . . . . . . divide by P
log(A/P) = 12t·log(1 +r/12) . . . . . . take logs
Divide by the coefficient of t, then fill in the numbers.
t = log(A/P)/(12·log(1 +r/12)) = log(202800/93000)/(12·log(1 +.068/12))
t ≈ 11.497
It will take about 11 years for the account balance to reach the desired amount.
Answer: x^5+5x^4+x^3
Step-by-step explanation:
assuming the expression is x^3(x^2+5x+1) each term in the bracket is multiplied by x^3
x^3(x^2+5x+1)
=(x^3*x^2)+(x^3*5x)+(x^3*1)
=x5+5x^4+x^3
