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 find the number where 15 is 50 percent of it, you can set up the equation: ( 15 = 0.5 \times x ). Solving for ( x ) gives ( x = 15 / 0.5 = 30 ). Therefore, 15 is 50 percent of the number 30.
To do it in steps... 10% of 185 is 18.5 20% is 18.5 x 2 which equals 37
To find out what number 3258 is 86 percent of, you can set up the equation: (3258 = 0.86 \times x). Solving for (x), you divide 3258 by 0.86, which gives (x \approx 3781.40). Therefore, 3258 is 86 percent of approximately 3781.40.
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%.
End of year one: 5000 + 10% = 5500 End of year two: 5500 + 10% = 6050 year three: 6050 + 10% = 6655 year four: 6655 + 10% = 7320.50 year 5: 7320.50 + 10% = 8052.55 6: 8052.55 + 10% = 8857.805 7: 8857.805 + 10% = 9743.59 8: 9743.59 + 10% = 10717.94 9: 10717.94 + 10% = 11789.74 10: 11789.74 + 10% = 12968.71
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
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
World Chemistry Day is celebrated annually on November 7th to raise awareness of the importance of chemistry in daily life and its contributions to solving global challenges.
To find the number where 15 is 50 percent of it, you can set up the equation: ( 15 = 0.5 \times x ). Solving for ( x ) gives ( x = 15 / 0.5 = 30 ). Therefore, 15 is 50 percent of the number 30.
To do it in steps... 10% of 185 is 18.5 20% is 18.5 x 2 which equals 37