The greatest common fact or 32 and 96 is 2
The options are wrong lol, it is -1/8
Car 1
2 miles............................1 minute
10 miles.........................5 minutes
20 miles.........................10 minutes
40 miles..........................20 minutes
car2
1.5 miles...........................1 minute
15miles.............................10 minutes
30 miles...........................20 minutes
the difference is 0.5 miles per minute
0.5*60=30 miles/hour
By the fundamental theorem of calculus,
Now the arc length over an arbitrary interval
is
But before we compute the integral, first we need to make sure the integrand exists over it.
is undefined if
, so we assume
and for convenience that
. Then
Answer:
The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.
Step-by-step explanation:
Key points:
- Discount is subtracted from the regular price of an item.
- Sales tax is added to the regular price of an item.
It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.
Two functions are provided are:
f (x) = 0.90<em>x </em>; the price of an item after the 10% member discount
g (x) = 1.07<em>x </em>; the total amount customers pay for a purchase after sales tax is applied.
Compute the total amount a member pays for an item with a regular price of x dollars as follows:
T (x) = Discount × Sales Tax
= 0.90 × 1.07 × <em>x</em>
= 0.963<em>x</em>.
Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.
