Answer:
The original fraction is 
Step-by-step explanation:
Let the numerator by X
Denominator is three more than its numerator i.e X +3
When both the numerator and denominator are increased by one the fraction becomes 1/2

Thus, numerator = 2
Denominator = X +3 = 2+3 = 5
The original fraction is 
Answer:
time = 28 years
Step-by-step explanation:
Given,
principal amount = $10,000
rate = 4%
total amount = $30,000
According to compound interest formula

where, A = total amount
P = principal amount
r = rate
t = time in years
so, from the question we can write,



by taking log on both sides, we will get
=> log3 = t.log(1.04)

=> t = 28.01
So, the time taken to get the amount from 10000 to 30000 is 28 years.
x/y + 3z^2 for x= 2/3, y= 6/7, and z=3
=2/3 / 6/7 + 3(3^2)
=2/3 * 7/6 + 3(9)
= 7/9 + 27
= 7/9 + 243/9
= 250/9
answer is a. 250/9
A₆ =12
a₇ = ?? = x
a₈ 27
In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18