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EaPnmmr neenaa HareCelclim? 3518 YPEeeyenTuaAeaS1OOD [ invested at 690 interest_ Fnoitn amotntaite daiy; (Rouno answer5 decimal place5tnerinteresteoijuud Monthiyyea...

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EaPnmmr neenaa HareCelclim? 3518 YPEeeyenTuaAeaS1OOD [ invested at 690 interest_ Fnoitn amotntaite daiy; (Rouno answer5 decimal place5tnerinteresteoijuud Monthiyyeanscomdqundrdannuai semiiannma quaneny,annuaik 1540Gemianama412181.79(c) quartery UL Duici(di monthiy 47184 79(eldailyAeAANeed Help?

Ea Pnmmr neenaa HareCelclim? 3518 YP EeeyenTua Aea S1OOD [ invested at 690 interest_ Fnoitn amotntaite daiy; (Rouno answer5 decimal place5 tnerinterest eoijuud Monthiy yeans comdqundrdannuai semiiannma quaneny, annuaik 1540 Gemianama 412181.79 (c) quartery UL Duici (di monthiy 47184 79 (eldaily AeAA Need Help?



Answers

In the above problem, if the bank paid him interest at $9 \%$ p. a, then find the interest he would have received on closing his account (in $\mathrm{Rs}$ ). (1) $202.5$ (2) 216 (3) $229.5$ (4) 243

Is this question? We asked another thing. So, first of all, we're also find your amount, given that the interest is compounded quarterly for 23 quarters. So when you say that our Principal Valley 26,780 times one plus heart rate, which is zero point narrow 53 over our Mount Compound ID per year, which is four tongue four times our time, which is 23 quarters. And we know that our times there's on years and take 2013 divide by four get us 5.75 So the next thing we have to dio is we need to type this all into a calculator to figure out how much money is made up word 23 quarters. And so this will get us 76,855 0.95 We also need to figure our interest accumulated, so you take some 6855 0.95 It's a track 661,000 780 to get us 20,000 $75 in 95 cents. We're being were us to find our interests. If compounded continuously for 15 years. Civilians take our 56,780 grams e to our rate, which is 0.53 times our time, which is 15 years. So I need to type all of this into a calculator to get us $125,000. It's 100 $25,735 in 96 cents. To figure out how much interest we earned, we can take our values. 125,007 or 35.96 Subtract 56,780 Incident that will get US 68,955 0.96 as the interest earned, So these are answers.

This problem reads. The form below shows interest income Terrell Washington earned and 2011 from two savings accounts. He deposited a total of $15,000 at the first of that year and made no further deposits or withdrawals. How much money did he depositing account? 8 to 2 in an account, 7 to 1 in dollars. So this is the form. So we know that the total interest that he earned was $720. So I made a little chart that has the equation. P times are times T is equal to interest and has both accounts on each row. So the total amount earned from the interest on the accounts of $720 we are trying to figure out what amounts were in each account. So I'm gonna say that X is the amount that was in account 8 to 2, and that 15,000 minus X is in the account 7 to 1, because a total of $15,000 was in both accounts and then the rate given to us for account 8 to 2 is 5% so as a decimal, that 0.5 and then the rate for count 7 to 1 is 4.5. So as a decimal, that 0.45 and then the time on each of calm is gonna be one year. So to find the interest for account 8 to 2, we're gonna multiplies their points or five times X, which is the same thing as your 50.5 X and then to find interests on the count 7 to 1, we're gonna multiply 0.45 times, 15,000 minus x. So from here, we're gonna write an equation. 0.5 x plus zero point 045 times 15,000 minus X is equal to 720 and we want to get rid of the decimals and 0.5 and 0.45 So we're gonna multiply both sides of the equation by 1000. So we have 1000 times 0.5 x plus 1000 times zero point 045 times 15,000 minus x is equal to 720,000. So 1000 times 0.5 x is 50 x, Then we have 1000 times 0.0 45 which is 45 times the 15,000 minus X is equal to 720,000. And then we're gonna have to distribute the 45 to 15,000 as well as the 45 to the negative X. So we have 50 eggs plus 45 times 15,000 is 675,000 and then we have 45 times negative X, which is negative. 45 x is equal to 720,000. Then we're gonna combine our light terms. So we have 50 x minus 45 x, which leaves us with five X plus 675,000 is equal to 720,000. Then we want to get this 675,000 to the other side. So to do that, we're going to subtract 675,000 on each side. So we have 675,000 minus 675,000 which is zero. So then we're left with five X is equal to 720,000. Minus 675,000 is 45,000 And then we're gonna divide five on each side to Eisley. The why five divided by five is one. So we're left with X is equal to 45,000. Divided by five is gonna be 9000. So $9000 was in account, 8 to 2. And then to figure out how much was in account 7 to 1, we're gonna have to subtract 15,000 minus X, which in this case, is the 9000. So we have 15,000 minus 9000 and that's going to be 6000. So that means that $6000 was in account, 7 to 1, and that is our solution to the problem.

Hey, guys, welcome back. This problem is and interest from $1000 borrowed 8% interests. And there were Newsome, different formulas based on how much the interest is compound. So we know that we'll use the formula. A is equal to P Times one over or the end times nt You know that teams air time of year's time in years. She'll be three years. You know that P is how much money start with or principle in this case at his $1000 here that are is our interest rate. This case is 8% which, if you move that in no decimal, be 0.8 and then we know that end is how many times number of times bring your that your compound ing money times per year. And that is what will change a bunch and all the different parts of this problem. So first we want to see what happens if we compound it annually. So if you do it annually, you know that and will be one time per year. So we'll say that a This eagle two 1000 one plus R points your way over end. It won raised to the NT, and it's just one. He has three. And if that, you know, value of 1000 200 59 in 71 cents, and that is our answer to part a part B or asked what happens if a compound it quarterly. If its quarterly that be four times a year, we will do the same equation plugging in and as you were before, So we have a 2 1000 one plus 10 over four raised to the fore Times three. And we knew that you get a value of 1200 and 68 24 Next dress. What happens if you do it monthly Its monthly? An end to 12. We'll have a 0 to 1000 one plus point. Oh, wait over 12 12 times three. That would come out to 1000 270 point 24 Next rest. It happens if you do it weekly. Do it weekly. There are 52 weeks in a year. We have a 0 to 1000 on plus point away over 52 52 times three. That comes out to $1271 two cents. Now ask what happens if we do it daily? Yes, 365 days in a year. We have a zeal to 1000 one plus point. Oh, wait over 365. Raise to the 365 times three. And that comes out to 1000 270 $1. 20. 22 cents. 20 Then you're asked what happens if we do it? Hourly? Do it hourly. That would be 365 days in a year. Times 24 hours in a day Ejected 8000 760 hours in a year. 7000. It's our 8760 times get compound. If a is equal to 1000 one plus point, no wait over 8000 160 raised to the 8000 760 times three. That comes out to 1000 200 71.25 Then rest. What happens if you do it continuously? Well, if you do it continuously, that's basically saying what happens if an goes to infinity? If n goes to infinity, that are, formula becomes a different simplifies down and it's just it a is equal to P. Yeah, the rt fill it in. It would be equal to 1000 e the point. Oh, wait. Times three, we get the exact same value. We had our last part, which is 1271.25 and then finally using our formula A is equal to P E to the rt. You want a graph zero to T years ago. Three zero from T is equal to three different interest rates to on the graph are you 2.6 are 0.8 and our issue 2.1 I want had and I grabbed this on Dismas and that graph can be shown here. I don't exercise not cancelled Carry over. This was acceptable to zero Xeloda one exit time. Is he going to I'm is equal to three in this obviously in years and her wise and dollars you can see how the Green line when are you would appoint one is slightly higher. Our blue line When are you gonna 0.0 waits in the middle and then our lowest is when already lit a 0.6 And that concludes this problem. Thank you for watching

So if we use the equation, A is equal to our principal investment times one plus our interest rate are over. And since where it was, things were calm. Pounding this interest quarterly, we're gonna divide by four, and then we're gonna most blind by four t four times our time. And so So all we have to do now to find a is plugging these values. We know that our principal investment is 22 50. We know that our interest rate is 7% so we have 70.0 7/4, and then we're gonna We're doing this for six years, so we have four times six, which gives us the value of 24. It gives us about 24. And if we were to we were to plug this into our calculator, we would get that this is actually equal to 2 $3412. So our answer choice here is actually be


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