Answer:
(a) 8.15
(b) 12.92
Step-by-step explanation:
Given: P = $3000, r = 0.085
Where
A is the Amount
P is the Principal
r is the rate
t is the time
(a) For the amount to double, A = 2 × P
A = 2 × $3000
A = $6000
Take 
of both sides
But 
∴ 
t = 8.15
(b) For the amount to double, A = 3 × P
A = 3 × $3000
A = $9000
Take of both sides
But
∴ 
t = 12.92
Area of the parabolic region = Integral of [a^2 - x^2 ]dx | from - a to a =
(a^2)x - (x^3)/3 | from - a to a = (a^2)(a) - (a^3)/3 - (a^2)(-a) + (-a^3)/3 =
= 2a^3 - 2(a^3)/3 = [4/3](a^3)
Area of the triangle = [1/2]base*height = [1/2](2a)(a)^2 = <span>a^3
ratio area of the triangle / area of the parabolic region = a^3 / {[4/3](a^3)} =
Limit of </span><span><span>a^3 / {[4/3](a^3)} </span>as a -> 0 = 1 /(4/3) = 4/3
</span>
Answer:
x = 112
Step-by-step explanation:
We can create two equations 1. one that calculates calories burned and 2.another that calculates minutes:
20*x + 5*y = 1200
x + y = 120
Then we can solve for x
x = 120 - y
then we can plug that into the top equation:
20(120 - y) + 5y = 1200
divide by 5:
4(120 - y) + y = 240
distribute:
480 - 4y + y = 240
and then do all that combining like factors what not and simplify and solve:
480 - 3y = 240
-3y = -240
y = 8
NOW WE CAN JUST PLUG IN THE ANSWER FOR Y TO FIND X
8+x =120
x = 112
Answer:
f(1) = 10
Step-by-step explanation:
Here you can just replace any x with 1.
f(1) = 9(1) - (1)2 + 3(1)
