The given fuctions are:
this means that for the reference it is:
now for the first coordinate it is:
then:
then:
Finally
The answer is $16216987.55 (IMPORTANT: This is the answer assuming that the interest rate is annually. The quesiton says 'continuously' so I was a bit confused)
To solve this problem, you can use the compound interest formula.
Here it is once you plug in the numbers: A = 5,000,000 ( 1 + .04) ^30
Just solve the equation to find the solution.
Answer:
y = - 2, y = - 1
Step-by-step explanation:
y² + 3y + 2 = 0
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the y- term (+ 3)
The factors are + 2 and + 1 , since
2 × 1 = 2 and 2 + 1 = 3 , then
(y + 2)(y + 1) = 0
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
y + 1 = 0 ⇒ y = - 1
Answer:
15.5
Step-by-step explanation:
4c + 5g
= 4(2) + 5(1.5)
= 8 + 7.5
= 15.5
The quadratic formula is x=(-b+-sqrt(b^2-4(a)(c)))/2a
Using the quadratic formula, we get:
x=(-(-8)+-sqrt((-8)^2-4(15)(1)))/2(1)
x=(8+-sqrt(64-60))/2
x=(8+-sqrt(4))/2
x=(8+-2)/2
x=10/2 and x=6/2
x=5 and x=3
We could do it way faster by completing the square:
x^2-8x+15=0
(x-5)(x-3)=0
x=5 and x=3
Hope both methods make sense! BTW, the +- thing means add or subtract
