Answer:
The answer is 33548
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
__
<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
Answer:
C
Step-by-step explanation:
From the graph you can see that y changes from -2 to 2, so the range of the function is ![[-2,2].](https://tex.z-dn.net/?f=%5B-2%2C2%5D.)
Since the range of the functions
and
is
and the range of the functions
and
is
we can state that the correct option is C: 
Check the value at t=0:

Answer:
The correct answer is v(t) = (principal × time × 0.02) if calculated simply and v(t) = Principal ×
where v(t) is the interest after t years .
Step-by-step explanation:
Principal amount invested by Shota is $2000.
Interest is earned at 2% per year.
Time for which the principal is invested is t years.
Therefore let the total interest be v(t) dollars in t years.
Case 1: Simple Interest.
v(t) = (principal × time ×
) = (2000 × t × 0.02) = 40t
Case 2: Compound Interest.
v(t) = Principal ×
- Principal = 2000 ×
- 2000.
Answer:

Step-by-step explanation:
By factorization, we get ----
