Rebecca deposited $5,338.18 into a savings account with an interest rate of 5.9% compounded twice a year. About how long will it
take for the account to be worth $10,000?
1 answer:
(See attached graphic)
Years = log (10,000 / 5,538.18) / [2 * log ( 1 + .059 / 2)]
Years = <span> log (<span>1.8056473426) / 2 * </span></span> log ( <span><span><span>1.0295 </span> </span> </span> <span>)
Years = </span>0.25663293307 / 2 * 0.012626350954
Years = 0.25663293307 / <span> <span> <span> 0.0252527019 </span> </span> </span> <span><span> </span> </span>
Years = <span> <span> <span> 10.1625930598 </span> </span> </span>
Years = log (10,000 / 5,538.18) / [2 * log ( 1 + .059 / 2)]
Years = <span> log (<span>1.8056473426) / 2 * </span></span> log ( <span><span><span>1.0295 </span> </span> </span> <span>)
Years = </span>0.25663293307 / 2 * 0.012626350954
Years = 0.25663293307 / <span> <span> <span> 0.0252527019 </span> </span> </span> <span><span> </span> </span>
Years = <span> <span> <span> 10.1625930598 </span> </span> </span>
You might be interested in
Answer:
- 15x - 7 = 2 + 12x
Move 12x to L.H.S ( Left Hand Side ) and change it's sign
➛
Move 7 to R.H.S ( Right Hand Side) and change it's sign
➛
Subtract 12x from 15x
Remember that only coefficients of like terms can be added or subtracted.
➛
Add the numbers : 2 and 7
➛
Divide both sides by 3
➛
➛
The value of x is
✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄
☄ Now, let's check whether the value of x is 3 or not!
<h3>☥ Verification :</h3>L.H.S = R.H.S ( Hence , the value of x is 3 ).
✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄
<h3>✒ Rules for solving an equation :</h3>- If an equation contains fractions ,multiply each term by the L.C.M of denominators.
- Remove the brackets , if any.
- Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
- Simplify and get the single term on each side.
- Divide each side by the coefficient of variable and then get the value of variable.
Hope I helped!
Have a wonderful time ! ツ
~TheAnimeGirl