4b + 22 = 5 (b + 4) - 1 (remove the parantheses)
4b + 22 = 5b + 20 - 1 (calculate)
4b + 22 = 5b + 19 (move the terms)
4b - 5b = 19 - 22 (collect like terms and calculate)
-b = -3 (change the signs)
<em>b = 3</em>
Answer:
Step-by-step explanation:
<u>Given</u>
- Each deposit = $1500
- Interest rate= 5%
- Time = 4 years
- Compound number = annual
<u>Simple interest account</u>
- B = 1500*(1 + 4*0.05) = 1500*1.2 = $1800
<u>Compound interest account</u>
- B = 1500*(1 + 0.05)^4 = $1823.26
<u>Total balance</u>
- $1800 + $1823.26 = $3623.26
For a single payment with compound interest, the equation to use is F=P(1+i)^n where F is the value after n periods, P is the present value, and i is the interest rate.
If we want the final value F to double in 5 years, F is then equal to P then n=5. The equation is now:
2P=P(1+i)^5
2=(1+i)^5
i=14.87% per year
To find 29/9 as a mixed number you need to find out how many times does 9 fit in 29
9
18
27
36
We see that it fits 3 time 3 is your whole #
We also see that 29 - 27 = 3 so you write like this:
3 3/9
The denominator of the original fraction does change