A/2-b/3=1 solve for a, add b/3 to both sides
a/2=1+b/3 which is equal to
a/2=(3+b)/3 multiply both sides by 2
a=(6+2b)/3 now you can substitute this into 2a+3b giving you:
2(6+2b)/3 + 3b which is equal to
(12+4b+9b)/3
(13b+12)/3
![4*e^{2x} -3 = 12](https://tex.z-dn.net/?f=%204%2Ae%5E%7B2x%7D%20-3%20%3D%2012%20)
Step 1:
Here we have -3 in subtraction on the left side, so when we take it to the right we apply opposite operation of subtraction that is addition.
![4*e^{2x} = 12+3](https://tex.z-dn.net/?f=%204%2Ae%5E%7B2x%7D%20%3D%2012%2B3%20)
![4*e^{2x} = 15](https://tex.z-dn.net/?f=%204%2Ae%5E%7B2x%7D%20%3D%2015%20)
Step 2:
Next we have 4 in multiplication on left side, so dividing right side by 4,
![e^{2x} = 15/4](https://tex.z-dn.net/?f=%20e%5E%7B2x%7D%20%3D%2015%2F4%20)
![e^{2x} = 3.75](https://tex.z-dn.net/?f=%20e%5E%7B2x%7D%20%3D%203.75%20)
Step 3:
taking log on both sides
![ln ( e^{2x}) = ln(3.75)](https://tex.z-dn.net/?f=%20ln%20%28%20e%5E%7B2x%7D%29%20%3D%20ln%283.75%29%20)
![{2x} =ln 3.75](https://tex.z-dn.net/?f=%20%7B2x%7D%20%3Dln%203.75%20)
Step 4:
Dividing right side by 2,
x= ln (3.75) /2 = 0.66088
Answer : x = 0.66088..
Answer:
Step-by-step explanation:
Simple interest rate applies only to the principal amount deposited and not the compounded amount. The formula for simple interest is expressed as
I = PRT/100
Where
I is the interest.
P is the principal or initial amount deposited.
R is the interest rate.
T is the duration in years.
From the information given,
P = $300.00
R = 5 1/4% = 5.25%
T = 6 months = 0.5 years
Therefore,
I = (300×5.25× 0.5)/100 =787.5/100
I = 7.875
The balance in the account at the end of this time will be
300 + 7.875 = $307.875
Answer:
he has 0.66 of fabrics remaining, 0.66 can be 33/50
Step-by-step explanation:
Answer:
924/448
Step-by-step explanation:
7/8×33/8
=231/64
=231/64÷7/4
=231/64×4/7
=924/448