The solution to the equation, <em>m</em> + 72 = 100, is ...
m = 28.
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Step-by-step explanation:
Giving the following information:
Joshua:
Initial investment (PV)= $750
Interest rate (i)= 0.0341/4= 0.008525
Number of periods (n)= 18*4= 72 quarters
Josiah:
Initial investment (PV)= $750
Interest rate (i)= 0.0285
Number of periods (n)= 18 years
To calculate the future value of each one, we need to use the following formula:
FV= PV*(1 + i)^n
Joshua:
FV= 750*(1.008525^72)
FV= $1,381.98
Josiah:
FV= 750*(1.0285^18)
FV= $1,169.74
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Answer:
Given the sequence 20, 24, 28, 32, 36, . . . find the 60th term.
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nth term pattern: a(n) = 20 + (n-1)4
60th term: a(60) = 20 + 59*4 = 256
Step-by-step explanation:
Answer:x=-2 y=-6
Step-by-step explanation:
11x+4y=-46..........(1)
7x-4y=10..............(11)
Add (1) and (11)
11x+7x+4y-4y=-46+10
18x=-36
Divide both sides by 18
18x/18=-36/18
x=-2
substitute x=-2 in (11)
7x-4y=10
7(-2)-4y=10
-14-4y=10
Collect like terms
4y=-14-10
4y=-24
Divide both sides by 4
4y/4=-24/4
y=-6
