36 TK
Let, Rahim has ‘x’ Tk
Karim has x Tk
Radha has Tk (x x $\frac{1}{2}$) =$\frac{x}{2}$ Tk
Amena has = =$\frac{x}{2} \cdot \frac{1}{2}$ Tk = $\frac{x}{4}$ TK
According to the question
x + x + $\frac{x}{2}$ + $\frac{x}{4}$ +1 =100
x = 36
Need to deposit at the end of each half-year Tk. 7,525.59 only.
Here,
FV = Future Value = 5,00,000
i =interest rate = 10%
Effective Interest Rate = $\frac{10\%}{2}$ = 5%
n=(Time)=15 x2=30
A = (Annuity) =?
FV = A x $\frac{(1+i)^{n}-1}{i}$
500000 = A x $\frac{(1+0.05)^{n}-1}{0.05}$
A = 7525.59
Question 3:
a) -2, 5
b) 1
a) (a — 3) =$\frac{10}{a}$
a²-3a-10=0
a²-5a+2a—10=0
a(a—5)+2(a—5)=0
(a+2) (a-5)=O
Either,(a+2)=0 or,a—5=0
a=—2,5
b) (2x² – 1) = (3x² — 2x)
3x²—2x²—2x+1=0
x²—2x+1=0
(x—1)²=0
x—1=0
x=1
300 Km (from Dhaka) and after 5 hour
Since the Speed of first car 50 km per hour
After one hour of starting of the first car, the first car will ahead of distance 50 km.
Second car will overtake (60 – 50) = 10 km in 1 hour.
Second car will overtake 1 km in =$\frac{1}{10}$ hour.
Second car will overtake 50 km in = $\frac{50}{10}$ = 5 hours
After 5 hour distance (5 x 60) = 300 km from Dhaka, the second car will overtake the first car.
