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Find the present amount needed to attain a future amountof F dollars in the given time using an annualsimple interest rate of r.F = $5400, r = 2.9%, 2 years$...

Question

Find the present amount needed to attain a future amountof F dollars in the given time using an annualsimple interest rate of r.F = $5400, r = 2.9%, 2 years$

Find the present amount needed to attain a future amount of F dollars in the given time using an annual simple interest rate of r. F = $5400, r = 2.9%, 2 years $



Answers

Find the present value (the amount that should be invested now to accumulate the following amount) if the money is compounded as indicated.
$\$ 2000$ at 7$\%$ compounded semiannually for 8 years

Okay, so we want $100 to grow to one thorough for port so or in two years. So that's a P value of 100 we're essentially solving for our. So let's divide by 100 on both sides, and I want to check the score route of both sides. So we get one plus R. Okay, so we have R is equal to negative one plus minus the square root of 104.4 over 100. So what is the sequel to so that you know of one plus the square root of one a 14.0 for a device that religion is equal to 0.2 Now? It's not that we'll ignore this negative one, because that's going to give us a negative interest rate, and we want a positive one.

In this question, we are given four parabolic equations and were given four graphs and you need to identify witchcraft. We're presents Which equation? No good news for each equation. Let us right the vortex and let a stray tea Nature No. We can identify facilities from the form the standard form that the question is given and by vortex mean recording itself the vortex offi parabola. And by nature, we simply mean if it is a downward spacing on outwards facing parabola Now for the first equation, we can see that the square don't explain a sport squares border different. So the need your is metres upwards opening that is the parable of will be opening up blood Also we can right from the equation the vortex the X coordinate will be given by the square term. So the X coordinate here it's on the white boarding. It is minus three Similarly 42nd ground. We can see that the vortex is again or on. The recording at this time is plus three and the nature of the graph? No, because the sign in front of the square term is negative syllabi nature is downwards facing again for the third graf. We can see that The vortex Liza minus four comma, minus three on a since thes quater. Miss positive. This isn't an upwards facing parabola. And for the fourth graf it is negative. The square time. So this time it is a downwards facing parabola on the vortex. Off this parable. ELISA, my guess. Poor coma. Blessed. So, no. If we look at for the first crab, we need the vote. Exact comma minus three. No, we can see that. For the second graf shown here, the vortex Leiser work on my industry holder. It isn't upwards facing. So this graph three presents equation one next real see for equation two. We need the vortex to lie yet plus three. So here we have the first craft where the vortex is at four comma plus three. For there is a downwards facing roughly matches. The question. So this is the crop of equation For the third graf we need the vortex at minus four comma minus three, and it needs to be a not work raising graph, which is the last graham here. All of this is for equation three. No, for equation for, nor the vortex must lie your minus four comma plus three. And we can see here that quote this craft. It lies at minus four comma plus three for their It is a downward facing graph. So this is the car off equation.

According to the question, We have been given the form love, component arrests, which is a equals. He multiplied by one place buddy. Human blood, they want less are fullness to devour t. Where are dizzy? Rate of interest is the time period for with German closing the strait, he's the principal amount and ease you. Total amount, according to the question, equals two years being equals dollar 80,000 on a equals dollar 101 Who fights it'll now? Let's absolutely values in to give any question so we will have one little one 250 equals 800 Monday cranberry one plus R all mystery power who now I could divide both sides of the quality by 8000 and we will have one through one through 50 upon 80,000 equals one plus R holders to the collar too. So one plus r hold this to the power to equals. You could develop both the numerator and the denominator By 1 25. Then we will have 81 upon 64 who's can record a written as nine upon a wholeness to the power who and I'm scared both sense of equality then we'll have skirt off. One plus R coldest REpower two equals quadruple nine upon eight. Holders to the power to so one place are equals nine upon eight or are will be equals 9.8 minus one. That is 118 Now, in order to find the rate we have to magically are returned. So Armel kind of 100 or rather we can see relate with V equals radio on eight. So what does that ended up on? Eight. 200 upon eight is well, corn fight, so it will be equals 12.5%. So this will be our final required answer.

This question is from Paulina. Meals and properties of exponents hurry in Mexico City, formula is given. So the formula Age. Yeah, it is cool too. See? One plus are the birth. Thank you. This is given her age amount preach principle and arrest rate of interest into each time. So here's the question given us find, Um um and the time is about after two years. So here t is given these in question doesn't even these two years, initial investment is $5000 or peace, $5000 owned are each with red up interest, 7%. Or are you going to seven personally, Usually the component to us, Your right to do the simple one or this is 0.7 or second test. Now we got the value of P p n r. So you can put it in formula. So we have to find out. The amount means is he'll do B one plus R to do or PGR 5000 Jurgen plus average zero point 07 20 is two years or here five Children into here one plus one plus one plus 0.7 means 1.7 more square men 102 times 1.7 into 1.7 This is 1.449 right? No. How intelligent reduces your door? Hi, seven. So, for one five, no guard the value of this is a principle is 572.50 Nana, or you can say the amount each age when the principal is 5000 and they are helping to save European Joslyn and time. It's two years regard the there to calculate an component is we got the amount. How is 7 to 4.50 dollars? This is the answer. Mhm, yes.


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