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Use the simple interest formula to find the missing entries in the table. Round monetary amounts to the nearest cent....

Question

Use the simple interest formula to find the missing entries in the table. Round monetary amounts to the nearest cent.

Use the simple interest formula to find the missing entries in the table. Round monetary amounts to the nearest cent.



Answers

$$ \begin{array}{|c|} \hline 0.03 p \\ \hline \end{array} $$a) $\$ 268$ b) $\$ 179.375$ c) $\$ 1211.51$ d) 20 months. e) 21 months f) $5.5 \%$. g) $\$ 4545.45$ h)

Question here were, given that the amount invested there's 12,500 at an annual rate of 5.75 person before compounding periods and your community marinus 20,000 and we want to solve for tea. So if we plug all everything that we know and you're this equation right here because 20,000 is equal to 12,500 times, one plus are, which is the rate, which is equal to 0.5 75 and decimals about on my end to the end times t not the software team will be first thing to do is divide both sides by 12,500 to be again that that is equal to 1.6. So 1.6 is he cool till one plus zero point 0575 about it before to the 40? No, we calculate what the number instead of prophecies is because this is equal to 1.1438 to the 14. So we can do is take the log off both sides of the equation. So we'll have Lord. 1.6 is you get to the log, have one point No. One 438 to the four T and again go on of 1.6 is equal to 0.204 which is equal to 40 times the long of one point for 14 38 which is equal to 0.6 So if we divide the left side by European 006 what will get is a 40. Do you want to? About 32.92 or a tea is equal to 8.2?

When this question were given that the amount invested there's 7250 where the Raines requested. That is 6.5% which is equal to 0.65 in the number of company period. 12 in the metal communicated is 15,000. So in order to solve this question will be First thing to do is to plug everything that we know into the original equation. So we have 15,000 is equal to 7250 times one plus 0.65 divided by 12 to the 12 t. So we'll be first need to do is to divide both sides by 7250. So what will get on the left side is to warrant 06 90 is equal to one plus 0.6 Fact, about 12 which we get, is equal to 1.54 There's just 12 team till we take a logger fourth side of the equation. Well, look at my side is log of 2.690 is equal to the log of one point. Oh, by four to the 12 t power. So taking a log of 2.690 well, we'll get on the left side is 0.31 hive eight and this is equal to 12 t times the log of one points years or 54 which is equal to 0.2 34 And to go from the steps of the stuff, we use the power rule for logs. So if we divide home sides by 0.0 234 mobile again is backed. Cruelty is equal to 135 0.0 one. Then again dividing both sides for 12 we'll get the T is equal to 11.25 So at the rates given an 11.25 years be 7250 will become 15,000.

She here were given that be amount invested this $1000 during dumpy and the interest rate is at 16.8% which is equal to 0.168 with 360 company periods in an accumulated amount of 1400. So what we first need to do is too plug everything that we know into this equation right here. So what we have is 14,000. You are 1400. My qualities 14 hundreds is you go to 1000 times one plus 0.1 60 divided by 3 60 to 360. T. You know, if we divide both sides by 1000 what we'll get use 1.4 is equal to one plus 0.168 You got about 3 60 to the 3 16 t. Now who's on my calculators? We can find out that one plus zero point 16 feet divided by 3 60 approximately equal to 1.47 toe 360 team. So we take the natural log off both sides of the equation, but we'll get is the natural log at 1.4. Is he good to Ellen of 1.47 The 360 t and using our power rule on the right side of the equation. What we get is that 360 t does he go to the Ln off 1.47 So if we use our calculator when we divine boats into the equation by 360 focus of your times here by 3 60 times Ln of 1.47 well, again is that t is equal to approximately 2.0. So it'll take about two years at these interest rates and come and end of 360 to humiliate about $1400.

So if we invest for $1000 at interest rate of 14.7% which is equal to 0.147 with compounding period of 3 60 times, how long would it take to accumulate $9000? So to start off what we first need to d'oh used to plug everything that we know into G original equation to be a 9000 is equal to 5000 times one plus 0.147 divided by 3 60 to the 360 t. So if we start right about in both sides, buying a 5000 little okay is one point A is equal to one plus 0.147 right by 3 60 to the 360 t. And again if we simplify what's in the practice, ese. But we'll get the equation is 1.8 is equal to 1.41 to the 360 T. Now we can take the natural on of both sides of the equation we have online of 1.8 is equal to the killing of 1.412 the 360 T. And if we use our exponents rule to the right side of the equation. What we'll get is that a lot of one point A is equal to 360 t times Ln of 1.0 for one. And if we divide both sides by 360 times Ellen off one points here was he reserved for one. Well, we'll get is that tea is approximately equal two forward 0.0. So at these rates it'll take approximately four years for $5000 to turn into $9000.


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