Answer:
Marco's age is 7 years old
Step-by-step explanation:
Let
x ----> Marco's age
y ----> Paolo's age
we know that
----> ----> equation A
----> equation B
substitute equation A in equation B
Solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
Remember that the solution cannot be a negative number
so
The solution is x=7
therefore
Marco's age is 7 years old
Set up a system of equations:
B=2+3C
B+C=90
The variable B is already solved, so plug into bottom equation:
2+3C+C=90
2+4C=90
4C=88
C=22
Plug C back in:
B+22=90
B=68
So B is 68 degrees and C is 22 degrees
Hope this helped!
Answer:
P = 300
r = 0.15
n = 12
A(t) = 300(1.0125)^12t
Step-by-step explanation:
Given that:
Total credit taken for book purchase = $300
Annual Interest rate = 15% compounded monthly
Time or period = 4 years
P(1 + r/n)^nt
P in the expression above means the principal amount which is the total credit spent on book purchase = $300
r = annual interest rate on Emma's account = 15% = 15/100 = 0.15
n = number of compounding times per period ; loan which compounds monthly = number of months in a year = 12
Hence,
P = $300 ; r = 0.15 ; n = 12
Substituting into the equation :
P(1 + r/n)^nt
Simplified expression written in terms of t:
Final amount, A after t years
A(t) = 300(1 + 0.15/12)^12t
A(t) = 300(1 + 0.0125)^12t
A(t) = 300(1.0125)^12t
Answer:
1
Step-by-step explanation:
f(x) = x^2 - 2x - 4
when x = -1, f(-1) = (-1)^2 - 2(-1) - 4 = 1 + 2 - 4 = -1
when x = 4, f(4) = (4)^2 - 2(4) - 4 = 16 - 8 - 4 = 4
The average rate of change from x = -1 to x = 4:
f(4) - f(-1) 4 - (-1) 5
---------------- = -----------------= -------- = 1
x4 - x1 4 - (-1) 5
Answer
The average rate of change = 1