Answer:
She will have 5 cups left after making bread
Answer:
Rs 600.
Step-by-step explanation:
113% is equivalent to Rs 678 So by proportion:
100% .. ... .. .. to 678 * 100 / 113
= Rs 600.
Answer:
a. T1 = -4 , T2 = -4/3 , T3 = -4/9 , T4 = -4/27
b. It is converge
c. The sum to ∞ = -6
Step-by-step explanation:
a.
∵ Tn = -4(1/3)^(n-1)
∵ The lower n = 1
∵ The geometric series Tn = a(r)^(n-1)
∴ T1 = a , T2 = ar , T3 = ar² , T4 = ar³
∴ a = -4 , r = 1/3
∴ T1 = -4
∴ T2 = -4(1/3) = -4/3
∴ T3 = -4(1/3)² = -4/9
∴ T4 = -4(1/3)³ = -4/27
b.
r = 1/3
∴ -1 < r < 1
∴ It is converge because the value of 1/3 when n is a very large
number will approach to zero
c.
∵ The sum of the geometric series = a(1-(r)^n)/1-r
∵ r^n ≅ 0 when n is a very large number
∴ The sum to ∞ = a/1 - r = -4/(1 - 1/3) = -4/(2/3) = -6
$198.60 divided by 15 = $13.24...
hannah earns $13.24 per hour...
hope this helps!
I will assume monthly compound interest.
Then:
yearly interest: 12%
monthly interest = (3/12) %
invested money: C
Final money: 2C
n: number of months
Compund interest formula:
Final money = Invested money * (1 + 0.03/12)^n
2C = C * (1.0025)^n
2C/C = (1.0025)^n
2 = (1.0025)^n
n = log(2) / log (1.0025)
n = 277.6 months
Time = 278 months = 23.1 years