Factor out 0.1t (t + 16)
t + 16 = 0
Subtract 16 from both sides
t = -16
After 16 years the income begins to decline
Least value:16
Median:26
Greatest value:34
30+1.95x=7.95x
so, 6x=30
x=5
Answer:
a) -tan(π/4) = -1
b) -1/sin(π/3) = -(2/3)√3
Step-by-step explanation:
The given functions are reciprocals of the primary trig functions:
cot(x) = 1/tan(x)
csc(x) = 1/sin(x)
The tangent function has a period of π, and is equal to the cotangent of the complementary angle.
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<h3>a)</h3>
The given angle is an alias of -π/4, so we can write ...
cot(7π/4) = cot(-π/4) = -cot(π/4) = -tan(π/2 -π/4) = -tan(π/4)
-tan(π/4) = -1
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<h3>b)</h3>
csc(-π/3) = 1/sin(-π/3) = -1/sin(π/3) = -1/(√3/2) = -2/√3
-1/sin(π/3) = -2√3/3
Hi there!
There are two steps to take when solving this equation, but before we even think about that, let's start by rewriting the equation.
5a + 17 = 47
Step 1) Subtract 17 from both sides.
5a + 17 - 17 = 47 - 17
5a = 30
Step 2) Divide both sides by 5.
5a/5 = 30/5
a = 6
So, your final answer therefore is
a = 6
Hope this helps!
TIP - This method can be used when solving any equation with 1 variable. :D
