Answer:
3,604 books
Step-by-step explanation:
We have 2 situations: situation A and situation B. What we are looking for is the number of books that has situation A equal to situation B. So the game plan is to write the equations for A and B, set them equal to each other, and then solve for the unknown number of books, x.
Situation A: If each book costs 19.25 to produce and the number of books is x, we express that as 19.25x. The fixed cost to use that company, regardless of the number of books it produces for you, is 22,427. Which means it is going to charge you 22,427 whether you produce 1000000 books or no books at all. The equation for A is:
C(A) = 19.25x + 22,427
Situation B uses the exact same reasoning, with the cost of each book being 10.50x and the flat rate cost of 53,962. Therefore, the equation for B:
C(B) = 10.50x + 53,962
We need the number of books where A = B, so we set the equations equal to each other and solve for x:
19.25x + 22,427 = 10.50x + 53,962 so
8.75x = 31,535 and
x = 3604
Answer:
Step-by-step explanation:
We can form a right triangle and use basic trig for a right triangle to solve this problem:
, where 
is the height of the tree.
Solving, we get:
.
Answer:
30000 times larger.
Step-by-step explanation:
10^7 * 9/10^3*3
Law of exponents cancel some of the tens.
10^4 * 9/3
Cancel out the three.
10^4 *3
Compute
30000 times larger.
Answer - 3^8
explanation - when multiplying a constant (3) with an exponent (4) by another constant and exponent, you add the exponents together and keep the constants the same
4 + 4 = 8
3^8
hope this helps
