Seeing where the x and y diffreant on the line :)
Step-by-step explanation:
x = father's age now
y = son's age now
x = 2y + 10
x - 20 = 5(y - 20) = 5y - 100
using the first in the second equation :
2y + 10 - 20 = 5y - 100
-10 = 3y - 100
90 = 3y
y = 30
x = 2y + 10 = 2×30 + 10 = 60 + 10 = 70
the father is now 70 years old, the son now 30 years old.
An arithmetic sequence has a common difference.
143 - 130 = 13
156 - 143 = 13
169 - 156 = 13
The common difference is 13.
a1 = 130
a2 = 130 + 13
a3 = 130 + 2 * 13
a4 = 130 + 3 * 13
...
an = 130 + (n - 1) * 13
an = 130 + 13(n - 1)
an = 130 + 13n - 13
an = 117 + 13n
an = 13n + 117
Answer:
im pretty sure its b
Step-by-step explanation:
Answer:
Future value = $755.61 ( to the nearest cent)
Step-by-step explanation:
The formula for calculating the future value of an invested amount compounded periodically for a number of years is given as:

where:
FV = future value = ???
PV = present value = $575
r = interest rate in decimal = 5.5% = 0.055
n = number of compounding periods per year = quarterly = 4
t = time of investment = 5 years
∴ 

∴ Future value = $755.61 ( to the nearest cent)