Answer:
Step-by-step explanation:
This equation is more intimidating than the problem you have to solve.
You know that the sine of everything is always between -1 and +1. So for the entire expression to be >= 0, the a*tan(pi/8) bit has to be 1 at least. Given this, we can forget about the sin(...) term of the equation for the remainder of solving it.
You already figured out that tan(pi/8) is sqrt(2)-1.
So what we're saying is a * (sqrt(2) - 1) has to be 1 at least.
If we solve a(sqrt(2)-1) >= 1 for a we get:
a = 1/(sqrt(2)-1)
You’re final answer would come out to this hope this helps :)
Given:
initial deposit = 45
total deposit = 105
w = weekly deposit
x = no. of weeks = 5 weeks
y = amount in dollars
45 + 5w = 105
45 + 5w = 105
5w = 105 - 45
5w = 60
w = 60/5
w = $12 weekly deposit.
y = $45 + $12x
<span>x = (y - 45)/12
</span>To check:
y = 45 + 12(5)
y = 45 + 60
y = 105 total deposit in 5 weeks
x = (105-45)/12
x = 60/12
x = 5 weeks
I hope this help
Answer:
-3.2, -3.4, -3.6, -3.8, -3.9
Step-by-step explanation:
<em>Hey there!</em>
<em />
Well rational numbers can be a decimal as long as it can be turned into a fraction, meaning 3.5 is a rational number.
So rational numbers between -3 and -4 are,
-3.2, -3.4, -3.6, -3.8, -3.9
<em>Hope this helps :)</em>
