Answer:
1; after 2 months
2; $130
Step-by-step explanation:
In this question, we are trying to compare the fees to be paid in two different gyms, to determine when the amount paid would be equal and also what this amount would be.
Now since we do not know the exact number of months, we can represent this unknown by x
so mathematically, at the end of m months, at the first gym , Casey would have paid a total of 50 + 40m
For the second gym, at the end of the second month, casey would have paid a total of 65m only
now we need to know when these fees would be the same. we simply equate what we have on both ends
mathematically, that is 50 + 40m = 65m
65m-40m = 50
25m = 50
m = 50/25
m = 2 months
The fees to be paid is
50 + 40(2) = 65(2) = $130
$450 per week earns you $450 total per week, for $<span>23,400 total
$115 per week earns you that plus 9.5% of $125,000, which is $</span>11,875, plus $5,980 which is $<span>17,855 total
There is a $</span><span>5,545 difference, making the $450 a week a better deal</span>
Answer:
y" = csc(x)[9cot²(x) - csc²(x)]
Step-by-step explanation:
Step 1: Define
y = 9csc(x)
Step 2: Find 1st derivative
y' = -9csc(x)cot(x)
Step 3: Find 2nd derivative
y" = 9csc(x)cot(x)cot(x) + -csc(x)csc²(x)
y" = 9csc(x)cot²(x) - csc³(x)
y" = csc(x)[9cot²(x) - csc²(x)]
Answer:
y=7x
Step-by-step explanation:
slope intercept form is y=mx+b.
m is the slope (rise over run) and b is your y- intercept. you leave y as it is. if the line is going down, you have a negative slope. hope this helped :)
Answer:
(2,4)
*View attached graph*
Step-by-step explanation:
2x + 3y = 16
2 + 2y = 10
2 + 2y = 10
-2 - 2
2y = 8
/2 /2
y = 4
2x + 3y = 16
2x + 3(4) = 16
2x + 12 = 16
- 12 - 12
2x = 4
/2 /2
x = 2
(x,y) -> (2,4)
Hope this helps!
