Answer:
x = 14.25
Step-by-step explanation:
Start with a^2 + b^2 = c^2
a = 11
b = x
c = 18
plug in and solve
11^2 + x^2 = 18^2
121 + x^2 = 324 - Simplify
x^2 = 203 - subtract 121 from both sides
x = 14.247 rounds to 14.25 - square root on both sides
General exponential equation
y = A(1+r)^x
where
A = initial value
r = rate increase (+) or decrease (-)
x = time period of the change
y = projected value
y = 300(1.05)^x
in this problem, x = years after 2017
we want to find an x that makes the value more than or equal to 650
650 <= 300(1.05)^x
Answer:

Step-by-step explanation:
The trigonometric identity is :

We need to express secθ in terms of tanθ.
The above equation becomes,

Hence, this is the required solution.
Answer:
$2
Step-by-step explanation:
The price of each calculator is found by dividing the box price by the number of calculators in the box.
$30/5 -$32/8 = $6 - $4 = $2
In boxes of 8, each calculator costs $2 less.