Answer:
<h2>x = 7</h2>
Step-by-step explanation:
To find the value of the value of x when
y = 14 we must first find the relationship between them
The statement
The value of y varies directly with x is written as

where k is the constant of proportionality
when x = 218
y = 436
So we have
436 = 218k
Divide both sides by 218
k = 2
So the formula for the variation is
<h2>y = 2x</h2>
when y = 14
We have
14 = 2x
Divide both sides by 2
<h3>x = 7</h3>
Hope this helps you.
Answer:
x = 89
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x+32+ 59 = 180
Combine like terms
x + 91 = 180
Subtract 91 from each side
x +91-91= 180-91
x = 89
Answer: C
Step-by-step explanation: We see that it took James 10 minutes to go 0.5 miles, so to get how many miles an hour James is traveling, we need to get the miles to 1. To do this, multiply by 2, and this will give you that it took James 20 minutes to go 1 mile. This is option C.
Answer:
$102,677.20
Step-by-step explanation:
The present value of an annuity due is determined by the following expression:

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.
With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

The present value of your winnings is $102,677.20.
Answer:
1. 144 2. 16 3. 1 4. 3x-6
Step-by-step explanation:
So think of this as a function in a function. So you work from the inside to the outside. So for problem 1, we start with f(4)) [you read it "f of 4"] so what is the solution when x = 4, since f(x) means the function of x so f(4) means 'the function of 4' inside f(x).
Since f(x) = 3x then f(4) = 3(4) [notice how you substitute the 4 everywhere you see a letter x]
so f(4) = 12, now you work the next part h(f(4)) since f(4)=12 then h(12)
So take the h(x) function which is h(x) =
then h(12) =
so h(12) = 144