Answer:
The answer is 23 years.
Step-by-step explanation:
We will use the formula :

Here P = 220
r = 3%
A = 400
Putting these values in the formula we get,


Taking log on both sides,
ln(1.03)t=ln 2

t=23.44 or rounding to nearest, t=23 years
The graph of the function can be shown as below.
Answer:
The factored form
is
.
Step-by-step explanation:
Given : 
We have to write the given expression in factored form.
Factor form of an expression is writing the expression in lower power form such that the product of factors given the original expression
Consider the given expression
.
We know the algebraic identity 
Here
.
Comparing with identity stated above , we have x= a , b = 11 , thus, we get
.
Thus, the factored form
is
.
Answer:
200 would be 1 percent of 2000
Step-by-step explanation:
(cosx)(cscx) = cotx
cscx = 1/sinx
(cosx)(1/sinx) = (cosx/sinx)
cosx/sinx = cotx
Basically, I noticed that cscx is equivalent to 1 divided by sinx, and then multiplied that fraction by cosx, which got me cosx/sinx. Your quotient identities will tell you that cosx/sinx = cotx
#of guests waitstaff tip
10 18
20 36
30 54
40 72
50 90
<span>If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
t = 1.8g t = g/18 g = 1.8t g = t/18
</span>
18/10 = 1.8
36/20 = 1.8
54/30 = 1.8
direct variation: <span>t = 1.8g</span>