Answer:
Let C be the cost price of the article. Then:
C(1+30%)=marked price
So:
C(1+30%)=C(1.3)
=1.3C
If the article is then marked down 35%, then its’ price would be:
1.3C(1–35%)=1.3C(.65)
=0.845 or 84.5% of its’ cost
Then:
0.845–1=-0.155
or, a 15.5% loss on the item
Answer:
Step-by-step explanation: So there are 148 students total and we know the fifth graders filled up 12 rows and since each row has a number of 8 seats we should multiply 8 times 12, which is equal to 96. Now in order to find the number of rows needed for the fourth graders we should first, subtract 178 minus 96; that is equal to 82. Next, we should divide 82 by the number of seats in each row since what we are trying to find id the number of rows needed for the fourth graders. So, we should divide 82 by 8 which is equal to 10. 25.
The number of rows needed is 11 since all students need to have a seat; the answer cannot be 10 because that means a few students would not have a seat.
ANSWER
EXPLANATION
Part a)
Eliminating the parameter:
The parametric equation is
From the first equation we make t the subject to get;
We put it into the second equation.
We differentiate to get;
At x=5,
The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by
Without eliminating the parameter,
At x=5,
This implies that,
The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by
