Answer:
Step-by-step explanation:
You simply need to substitute the numbers in the x column into the equations in the topmost row. The answers are the values of a, b, c, d, e, and f.
Look at the filled in cells.
In the x column, we have -2, and the topmost row we have
. The answer is given as
. This is because 
Repeat this for the values that you need to find.
Answer: it will take 17.5 years to double his money in the account.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $500
A = 500 × 2 = $1000
r = 4% = 4/100 = 0.04
n = 4 because it was compounded 3 times in a year.
Therefore,.
1000 = 500(1 + 0.04/4)^4 × t
1000/500 = (1 + 0.01)^4t
2 = (1.01)^4t
Taking log of both sides, it becomes
Log2 = 4tlog 1.01
0.301 = 4t × 0.0043 = 0.0172t
t = 0.301/0.0172
t = 17.5 years
Answer:
Step-by-step explanation:
a. 0.04... 4/100... 0.04
b. 4.25... 4 25/100... 4.25
c. 4... 4/100... 0.04
B + g = 16.....b = 16 - g
45b + 55g = 830
45(16 - g) + 55g = 830
720 - 45g + 55g = 830
-45g + 55g = 830 - 720
10g = 110
g = 110/10
g = 11 <=== there are 11 green cassettes
b + g = 16
b + 11 = 16
b = 16 - 11
b = 5 <=== there are 5 blue cassettes