Answer:
a) P(t) = 7t
b) P(8) = 56. P(8) is Michael's gross pay for 8 hours' work.
c) Michael worked 21 hours to get a paycheck for $147.
Step-by-step explanation:
a) Pay attention to problem details. Functions come with all kinds of names and variables, not just f(x). You are told to use a function name of P and a variable name of t.
You have written the relationship correctly: pay in dollars is 7 times the number of hours.
... P(t) = 7t
b) P(8) = 7·8 = 56
P(8) is described by the problem statement as ...
... "his total amount on his paycheck, in dollars, for the week" in which he worked 8 hours for the week.
c) You want to find t such that P(t) = 147. Put that value into the equation for P(t) and solve for t.
... 147 = 7·t
... 147/7 = t = 21 . . . . . divide by the coefficient of t
Michael worked 21 hours to receive a paycheck of $147.
Answer:
Step-by-step explanation:
The sum of an alternating geometric series SUM((-1)^n*ar^n) = a/(1+r). The given series has r=2/3 and a=1. The sum will be 1/(1+2/3)= 3/5
If you're looking for the simplified version of the fraction, you have to factor both numerator and denominator.
The numerator is actually already a prime number, so we're good
The denominator factors as
So, a 3 appears in both numerator and denominator. We can simplify it:
If you want to compute the approximated value of this fraction, simply plug these values into some calculator to get
Answer:
Step-by-step explanation:
Every Triangle has three altitudes. These are lines the go from an angle's point of the two lines meeting. The altitude goes from the the point of meeting to the side opposite. The altitude and the side opposite meet at right angles.
There are three such altitudes. They always have 1 point where they meet.
That meeting place is called the orthocenter.
Answer:
$63.29
Step-by-step explanation:
1. $59.99* 5.5%= 3.29945
2. 3.29945 +$59.99 = 63.28945
3. round to $63.29
there i hope i help :)