Answer:
(x+5)(x-5)
Step-by-step explanation:
x^2-25 = x^2 - 5^2 = (x+5)(x-5)
rule: a^2 - b^2 = (a+b)(a-b)
Interest from first account is :
![I_1 = \dfrac{p\times r \times t}{100}\\\\I_1 = \dfrac{509\times 3.4\times 3}{100}\\\\I_1 =\$ 51.918](https://tex.z-dn.net/?f=I_1%20%3D%20%5Cdfrac%7Bp%5Ctimes%20r%20%5Ctimes%20t%7D%7B100%7D%5C%5C%5C%5CI_1%20%3D%20%5Cdfrac%7B509%5Ctimes%203.4%5Ctimes%203%7D%7B100%7D%5C%5C%5C%5CI_1%20%3D%5C%24%2051.918)
Interest form second account is :
![I_2 = \dfrac{p\times r\times t}{100}\\\\I_2 = \dfrac{509\times 1.7\times 3}{100}\\\\I_2 = \$25.959](https://tex.z-dn.net/?f=I_2%20%3D%20%5Cdfrac%7Bp%5Ctimes%20r%5Ctimes%20t%7D%7B100%7D%5C%5C%5C%5CI_2%20%3D%20%5Cdfrac%7B509%5Ctimes%201.7%5Ctimes%203%7D%7B100%7D%5C%5C%5C%5CI_2%20%3D%20%09%5C%2425.959)
So, total interest is :
![I = I_1 + I_2 \\\\I = 51.918 + 25.959\\\\I = \$77.877](https://tex.z-dn.net/?f=I%20%3D%20I_1%20%2B%20I_2%20%5C%5C%5C%5CI%20%3D%2051.918%20%2B%2025.959%5C%5C%5C%5CI%20%3D%20%5C%2477.877)
Therefore, total interest is $77.877 .
Answer:
(50+40x) dollars
Step-by-step explanation:
THe fixed cost is $50 (this includes everything and 6GB of data).
Now, for every GB <em>OVER</em> 6 GB he uses, company charges $40 extra.
So, if he used "x" GB EXTRA, his EXTRA cost will be 40 * x = 40x
Thus, his total cost in the month would be fixed cost PLUS the extra, which would be
50 + 40x dollars
The drama club collected $198.75
The answer is reasonable because 75% of 212 is 159 and each ticket costs $1.25. So 159 tickets for $1.25 each is $198.75