Answer: 4.15 units
Explanation:
1) You must find the solution to this system:
y = -0.3x² + 3x
-2x + 5.5y = 19.5
2) replace y from the first equation into the second equation:
-2x + 5.5 [-0.3x² + 3x] = 19.5
3) use distributive property: -2x - 1.65x² + 16.5x = 19.5
4) combine like terms: - 1.65x² + 14.5x = 19.5
5) transpose terms: 1.65x² - 14.5x + 19.5 = 0
6) use quadratic formula to find the solution:
x ≈ 1.66 and x ≈ 7.13.
To find which is the lower point, you replace the two values and find which has smaller y value:
y = -0.3x² + 3x
x = 1.66 ⇒ y = -0.3(1.66)² + 3(1.66) = 4.15
x = 7.13 ⇒ y = -0.3(7.13)² + 3(7.13) = 6.14
Therefore, the answer is y = 4.15.
Notice that if
, then
. Recall the definition of the derivative of a function
at a point
:
So the value of this limit is exactly the value of the derivative of
at
.
You have
Find the amount of interest
Interest amount = (176400 - 112000) dollars = 64400 dollarsAs per the formula of simple interest we know thatInterest = Principal * Rate of interest * Time Rate of Interest = (Principal * Time)/Interest amount = (112000 * 30)/64400 = 3360000/64400 = 52.17So the rate of interest on the loan for the period of 30 years was 52.17%
Answer:
John weighs 900% more than his dog
Step-by-step explanation:
Answer:
A
Step-by-step explanation: