Answer:
In order for it to benefit his father to buy the pass Seth have to attend the movies for 11 times.
Step-by-step explanation:
Given:
Cost of movie pass = $40
Cost per matinees with pass = $1.00
Cost per matinees without pass = $3.50
To Find:
Number of times must Seth attend in order for it to benefit his father to buy the pass = ?
Solution:
Let x be the number of times he wants to visit
To profit his father
The number of visits without pass = the number of visits with passin the cost of $3.50
Then, without pass if he visits for x times then the cost will be = 3.50x
Also with pass, the number of times he can visit the pass = 
then



x = 11.42
x = 11 (approx)
<span><span>d/<span>dx</span></span><span>[<span><span>10x</span>+<span>e2</span></span>]
</span></span><span>=<span><span><span>d/<span>dx</span></span><span>[<span>10x</span>]</span></span>+<span><span>d/<span>dx</span></span><span>[<span>e2}
</span></span></span></span></span><span>=<span>ln<span>(10)</span></span>⋅<span>10x</span>+0
</span><span>=ln<span>(10)</span>⋅<span>10<span>x</span></span></span>
Answer:
28
Step-by-step explanation:
The ratio of shots made to shots total is 7:15. Now since we don't know the shots made from 60 total shots, we can set the ratio as x:60. Since 15 goes into 60 4 times, we can multiply both parts of the ratio by 4 to get 28:60.
Each time the coin is tossed, there are two possible outcomes. The total number of possible outcomes when 9 tosses are made is given by: