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How long does it take an investment to grow from $500.00 to $1,713.90 in an account earning 4.930% interest compounded weekly?Choose the numeric value that most clo...

Question

How long does it take an investment to grow from $500.00 to $1,713.90 in an account earning 4.930% interest compounded weekly?Choose the numeric value that most closely approximates the answer:25 years26 years27 years28 years29 years

How long does it take an investment to grow from $500.00 to $1,713.90 in an account earning 4.930% interest compounded weekly? Choose the numeric value that most closely approximates the answer: 25 years 26 years 27 years 28 years 29 years



Answers

How long will it take 12,000 dollar to grow to 15,000 dollar if the investment earns interest at the rate of $5\%/$year compounded monthly?

1 22 is another money problem. Key equals 5000. And now we're growing into 50,000 with a rate. Uh, wait. 08 We're using the same formula and equals long a r over P plus one divided by log one plus our so n equals 50,000 times 0.8 divided by 5000 plus one All over the long uh, one plus are which is 1.0, a. So now, for my numerator, I can take thestreet zeros with those three zeros. So now I have 50 times 500.8 Fire goes into five once and I have 10 times 0.8 which is just 0.8 plus one. So I have 1.8 mutate the log at 1.8 over the long of 1.8 and I get about 7.6 and that would be in time. That would be about 7.6 years

For this problem, we want to know how many years to two decimal places it would take to grow $5,000 to $7,500 If it's invested in an eight um rape semi annually and monthly. So we're gonna use the formula E. Equals p times one plus are over em to the empty. And um with this in mind we're going to have our initial amount B 5000 And then it goes to 7500. The rate is going to be 0.08 at 8%. And then the number of times over the course of its semi annually, this is going to be a two. So then solving, treating this as an ex and solving for it will end up getting about a little over five years, So about five five 18 approximately. Um And then if this was Monthly So we'd put it 12 here and solve for X. We'd end up getting about the same thing. But it's gonna be slightly sooner. It's going to be about 5.0 eight three or 082. So that would be our final result.

Okay. And this question, the present value is given 5000. Okay And the accumulated value is given 6000. $500. Okay. And the question is how long will it take $5000 to grow $6500 if the investment and interest at 6% per year? Okay. Our is given 6% per year. That is compounded monthly. Okay. We have to find out the time period that is okay. And it is compounded monthly. So convert them periods will be 12 for a year. Okay now we have to find out. So we know that the accumulated value. Okay. It will be one. Also creepy. Multiplied by one plus R by M. Raised to the power empty. It will be over accumulated value. Okay And now he is here 5000 and one plus R. E. 6%. That is 0.6 M. S. 12 always to the power empty. There is 12 P. Equals to a that is 6500. And now we will divide both sides of the equation by 5000. So it will be one plus 0.6 12. Okay. 0.6 by 12. That is 0.5 And holders to the power 20 equals to 6500, divided by 5000. Okay. And now, yeah, I can say it will be 1.5 raised to the power 12. V because 265 double zero divided by 5000. It will be 1.3. And now we have to find out the value of TNT is an exponent. So we will take natural logarithms, both of the both side of the equation. And it will be 20. Okay, first of all, natural logarithms. So it will be Ln 1.5 raised to the power 20 equals two Ln 1.3. And now Ln areas to the power be it will be B L N A. So it will be 12 T L N 1.5 equals two. Ln 1.3. And now we have to find out the city. So we will divide both sides of the equation by this 12 and L N 1.5 So T will be Ln 1.3 divided by 12. Ln 1.5 Okay. And now when we sold it will be nearly equals two. 4.4. Okay. And the answer will be 4.4 years. Okay. Actually, this is nearly close to so I'm putting here. Nearly cost. And this will be the final answer of discussion. Thank you.

Okay, so we're giving. Their principle is 5000 and we wanted to grow to 8000 and we'll also be given were given that we're investing at an annual rate of 9% and then we're calm pounding continuously. Actually, this is the wrong formula. That should be easy and power of our, which is open. Throw nine team analogue sulfur teeth. So we'll divide by 5000 on both sites, and I will take the natural log of both sides to bring down this power. T. To get the natural log of 8/5 is equal to 0.0 19 so teeth is equal to the natural log of 8/5 over 3.9 Now let's put this into our calculator, the island of me over five. And then this was over. See and deal with. For Latina R T value is approximately 5.2 years


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