Answer:
x = 39
y = 129
Step-by-step explanation:
to find x you do
x +51 = 90
subtract 51 from both sides
x = 39
to find y
we already know part of y is a right angle (90 degrees)
so we need to find the tiny other part
this tiny other part is equal to x
so
90 +39 = 129
So,
5y*3 is the open phrase the student uses to model "the sum of 5y and 3".
"The sum of" means addition. The student put 5y*3, while the sum of 5y and 3 is actually 5y + 3.
Answer:

Step-by-step explanation:
The standard compound interest formula is given by:

Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.
Since we are compounding annually, n=1. Therefore:

Lester wants to invest $10,000. So, P=10,000.
He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.
And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:

Let’s solve for our rate r.
Divide both sides by 10000:

We can raise both sides to 1/3.3. So:

The right side will cancel:

So:

Use a calculator:

So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.
F(X)= x+1/4x-2
f(2) = (2 + 1)/[(4)(2) - 2]
f(2) = 3/6 = 1/2
Answer:y=1
Step-by-step explanation: