Answer:
C. =6.633
Step-by-step explanation:
the coordinates where the bridges must be built is
and
.
<u>Step-by-step explanation:</u>
Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:
Basically we need to find values of x for which f(x) = g(x) :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Value of g(x) at x = 3 : y=3x -15 = 3(3)-15 = -6
Value of g(x) at x = 6 : y=3x -15 = 3(6)-15 = 3
Therefore , the coordinates where the bridges must be built is
and
.
Answer:
9(p + 4)
Step-by-step explanation:
One of the unknown variable is p.
First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).
Translating the word problem into an algebraic expression, we have;
9 * (p + 4) = 9(p + 4)
Simplifying further, we have;
9p + 36
Answer:
future value = $49163.8
so required amount will be $491200 nearest $100
Step-by-step explanation:
given data
annual interest rate = 6 %
annuity = $300 per month
time period = 10 years
to find out
how much money will they have for the college expenses
solution
we know that effective rate will be
effective rate = 
effective rate = 5 × 
number of payment = 12 × 10 = 120
so future value will be express as
future value = annuity ×
.........1
future value = 300 × 
future value = 300 × 163.8793
future value = $49163.8
so required amount will be $491200 nearest $100