The basic equation for compounded interest is:
FV=PV(1+i)^nt
FV=future value
PV=present value
i=interest compounded per term
n=number of times compounded per year
t=number of years
For this situation:
FV=?
PV=8000
i=.08
n=1
t=7
Plugging the numbers into the equations gives you FV=8000(1+.08)^7
Solving gives you the amount of 13710.59
A way to roughly check your answer is to use the rule of 72. The rule of 72 is a method of seeing how long it would take to double ones money at a certain interest percent.
The interest is 8% so divide 72 by 8 and you get 9. So at 8 percent it would take about 9 years to double your money.
Since we only had 7 years, it makes sense that we did not double our money, but we fairly close to doing so, meaning that our answer is viable.
This is only a way to roughly check the answer.
Converting a ratio to a percent is not the same as solving a proportion.
the equation for compound interest is Pe^(rt) the principal you want in the end is twice that of the original 12,000 plugging in and solving you get 12,000=6000e^(.13t) t = 5.33 years
To do it in steps... 10% of 185 is 18.5 20% is 18.5 x 2 which equals 37
Compound Interest is the interest which gets compounded in Specified time periods.. The formula for solving Compound Interest problems is as follows: A=P(1+R/100)n Where, A= Amount after Including Compound Interest P= Principle R= Rate % n= Time Period For Calculating Compound Interest: CI=A-P Where, CI= COmpound Interest A= Amount P= Principle For Eg: If Rs 1000 is lend @ 10% Compounded Anually for 2 years, then calculation will be done as follows: A= 1000 (1+10/100)2 = 1000 (1.1)2 = Rs 1210 & Compound Interest will be A-P i.e. Rs 1210-1000= Rs 210. Also, Whenever Compounded Half Yearly or Compounded Quarterly is given, the rate will be divided by 2 & 4 respectively & time period will be multiplied by 2 & 4 respectively. For Eg: if in the above eg, Compounded Half yearly is given, then take R= 5%, n = 4 years (4 half years in 2 years) & if Compounded Quarterly is given, then, take R= 2.5%, n= 8 (8 quarters in 2 years)
What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"
Converting a ratio to a percent is not the same as solving a proportion.
Many times when solving word problems, it's harder to figure out the question and the formulas to use than it is to do the algebra itself. So let's try to figure this out.We'll let x be the amount of money the guy invested at 3 percent.We'll let 8000 - x be the rest of it, which he invested at 4 percent.That means that 0.03 * x is the amount of interest he earned on the money invested at 3 percent, and 0.04 * (8000 - x) is the amount he earned at 4 percent.We also know that those two values add up to 275 dollars, so we can write the following equation: 0.03x + 0.04(8000 - x) = 275. Solving for x, we get0.03x + 0.04(8000 - x) = 2750.03x + 320 - 0.04x = 275-0.01x = -45x = 4500So 4500 is the amount invested at 3 percent. The rest, 8000 - 4500 = 3500, is invested at 4 percent. How do you get -0.01x=-45
the equation for compound interest is Pe^(rt) the principal you want in the end is twice that of the original 12,000 plugging in and solving you get 12,000=6000e^(.13t) t = 5.33 years
60 = 12000n Solving for the percent, we have: 60/12000 = n = 1/200 = .005 Multiplying by 100, you have 0.5%.
To calculate the future value of an investment, we use the formula: FV = P*(1 + r)^n, where FV is the future value, P is the principal amount (initial investment), r is the annual interest rate (as a decimal), and n is the number of years the money is invested for. Plugging in the values, we get FV = 5000*(1 + 0.10)^10. Calculate the expression to find the future value of the investment after 10 years with annual compounding.
Use the equation $=$0*(1 + r)xn where $ is the amount of money, $0 is the initial amount of money, r is the rate, x is the number of times per year the interest is compounded, and n is the number of years the interest is compounded. We are solving for n. To do this we need to use logs. log(1 + r)($/$0)/x = n log1.08(5006/1000)/12 = n = 1.744 years.
37.5 I got this by solving for x in the proportion 15/100=x/250
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don't go into the trap just hit the power box
150 20% is 0.2 This means solving the equation 0.2x = 30 x = 30/0.2 = 150
To do it in steps... 10% of 185 is 18.5 20% is 18.5 x 2 which equals 37
150 20% is 0.2 This means solving the equation 0.2x = 30 x = 30/0.2 = 150