₦airaland Forum

Futurewise11,
I'm sorry, I've to post the solution to the B part this night, when the day breaks, I promise to post that of the A. Here we go:

B(i). To solve, we shall use the formula for amortization. This is because it deals with a borrowed amount/loan.

P = V[1 - (1 + i)^-n/i]^-1
The monthly payment, P is needed to pay-off the debt,
Where; V = $80,000
i = 0.15/12 = 0.0125
n = 8*12 = 96

Applying the formula above:
P = 80,000[1 - (1 + 0.0125)^-96/0.0125]^-1
P = 80,000[1 - (1.0125)^-96/0.0125]^-1
P = 80,000[1 - 1/(1.0125)⁹⁶/0.0125]^-1
P = 80,000[1 - 0.3034428/0.0125]^-1
P = 80,000[0.6965571/0.0125]^-1
P = 80,000*0.0125/0.695571
P = 1,000/0.695571
:. ~ P = $1,435.63

B(ii). Unpaid balance after the first year (UB): V(1 + i)ⁿ - P[(1 + i)ⁿ - 1/i]

Where; V = $80,000
i = 0.0125
P = $1,435.63
n = 12


When you substitute those values you get:
UB = 92860.3614 - 18462.7207
:. ~ UB = $74,397.64
-------------------
Cheers,
Ortarico.

futurewise11: a)a person wants to make annual deposits for 25 years into an ordinary annuity that earns 9.4% compounded annually in order to then make 20 equal annual withdrawals of $25,000, reducing the balance in the account to zero. How much must be deposited annually to accumulate sufficient fund to provide for this payments? How much total interest is earned during this entire 45 year process?


b) A business borrows $80,000 at 15% interest compounded monthly for 8 years. What is the monthly payment? What is the unpaid balance at the end of the first year? How much interest was paid during

these are the answer,
a) A = $2467.96; interest $438,301;
b) monthly payment $1435.63; unpaid balance at the end of the first year $74397.48;but we are to show the workings


have actually try to solve it but am arriving at something different. for ai)i got 5,562.11 using annuity/sinking fund formulae.

please great maths guru of nairaland kindly help in resolving it.

please help to resolve this misery

Bro, be at peace, your questions are quite easy to solve, just that they're too long. I'm feeling reluctant but I'll try post the solutions tonight.
------------------
Cheers,
Ortarico.

Happy New Year Friends and Colleagues. Wish that New Year 2014 brings great joy, peace and prosperity, happiness and good tidings!
*puts on party hat and raises a toast to good times*

Happy New Year Friends and Colleagues. Wish that New Year 2014 brings great joy, peace and prosperity, happiness and good tidings!
*puts on party hat and raises a toast to good times*

Fostabeck: Woww!!!! Here in Australia! Its New Year Already!!!Enjoyin Tinz oh....Happy New Year NLders....am i officially the first to post here? [color=#006600][/color]

Somehow, you're yet to make it general.
2013 in retrospect, less than two hours to 2014!

godofphysics: D ffg akokites shud kindly drop their fcbk id b4 i call d police
1. OgaLabodz
2.cutestmunk sorry, hunk
3.@farano,Dr. Asiko,chizziyochukwu,önyinye,onyezaza
4. Damoshe(junior & senior)
5.d perfectnists-akanbi & eniorisha
6.OPC sorry, owbeecee(bros wetin happen na? It hv tailed)
7.d inconspicuous charliejose & tbmas
8.econzwizkids-Oladoya & ortarico
9. D always serious Ugonna
10. Dr Hillsnite
11. D always offline Engr Lucky, RapMaestro,
Walextopolino
12. D unecclesiastic Dapreacher
13. And others(abeg i no b computer oOO pls pardon me)
Nb:u may as well add me up(Reubenite profDamilareystrings)
errm...mrs Anita, abeg update ur facebk profile to STUDIES AT UNILAG(abi u neva collect clearance cert ni?)

I've done that boss.

Eni Orisha,
See as power dey totori the both of us. Politics dey interesting ooo!
I have changed my mind from locking you up, you proved clever but you can't claim to be the Chief Ritualist and at the same time the CSO. So be satisfied with your title as the Chief Ritualist of kiingsolomon's kingdom or else the military men will take over as they've been writing notes of warning.

Kiingsolomon,
There's not a way I can ensure that, she's a free lady. All you need do is sign the agreement that you'll never get too close to her, then we could be friends.

Oladoya,
It is a 'LIE' if you say that you felt insulted alone and not offended. In so far as you felt insulted, you were offended you know. Insult brings offence, they're inseparably linked.

Damoskiy,
I sense your furore over what happened but what their statements carried as message, in logical context, were obviously insulting. It would have been deceitful of me if I had made it insidious because I was really offended ooo, to be candid.
And again, I've forgotten about all that happened for long since the offenders and peace-makers had already given me to understand that it wasn't real. All that I said about my age and conditions weren't true, of course I'm still a youngster in reality pretending to have an intensive gust but what you guys didn't get to know is that it was an 'Accomplishment Of An Objective'!
To Solomon, Oladoya and all the joke crackers in the house, there're ways to crack your jokes without causing any offence. All I want to pinpoint so far is that: "SOME JOKES ARE INDIRECT INSULTS AND SOME INDIRECT INSULTS ARE NOT JOKES"
-------------------
Cheers,
Ortarico.

Kiingsolomon,
I didn't say my administration won't endorse your kingship, I'm fair to all. The problem I think I might have with you again is on the issue of 'Wifying'. Yes, I've got to know that you cherish any username with pink "(f)". Please just don't go too close to the 'First Lady' for she's my legal property and a 'No Go Area oo' (You can ask to know her sha, but be careful:> your name sef drives your passion) .
Any forms of trespass would be seriously and severely dealt with. I once fought with a personality on her matter.

PS: You are 'Permitted' to wife any other pink '(f)' you see here and anywhere on 'Nairaland'.
-------------------
Cheers,
The CSO,
Ortarico.

Eni Orisha,
I laugh at the word 'Substantive CSO'. My advice to you is that 'Be Patient' until the votes are over and stop claiming you're substantive. There's no concrete evidence to prove that you are and stop exhibiting the xtics of the Late MKO Abiola. Remember it terminated his political ambition and even he himself. I could order for your lock-up you know.
So, exercise a little patience till you are being confirmed as the new CSO (If the odds would even favour you, I doubt) and a 66.67% of the Senators are through with their votes, as you can see I still have some loyal Senators in the house.
Let the votes continue please, thanks!
----------------
Cheers,
The CSO,
Ortarico.

oladoya: Well, i dont want to derail the thread again but am gonna say something.
Seriously, i never meant to insult anybody here just take everythink for fun. But if i may say, ortarico you are always too serious about infinitesimal issues which shouldnt be. Atleast you and i are very close and i expect you to have studiéd the type of person i am,but i understood the fact that we are not all gifted in that case. Ceterís paribus, i will like you to try live a simple live rather than this cumbersome personalty you embrase. @godofphysics, what do you mean by 'he has not been serious for once on this thread?' i have been on this thread close to a year and if i dont like posting, it doesnt matter. What matters is that i am on this thread and i represent my department as suppose. Besides, i am an officer and we do not recognise anything so called insult because it is part of us. The guy i called #fufu cerebrum# does that change the fact that he is a genius? Ofcourse no. So whatever i post in here that seems like insult, just believe it isnt from my mind it is just to have fun that is all. We hav not started school yet and we are creating enemity already, what if we now resume. All the same ONE LOVE.

Haba, we've talked on phone now.
Oh, but @ the bolded, you've already felt insulted like I did, thought you won't even comment on that sef, Mr Freeman!

Eni Orisha,
Haba! I went for a summit in Brazil which was meant for all the CSOs of 2013/2014 admission threads on every social networking forums/sites . It's for the betterment of the here, you guys should please bear with me.

Is it how it is? Is it how it'll be? Or is it just a similitude of the Old PDP VS the New PDP factions? Or is it looking like the APC VS PDP Political Parties?
How would you ask me to step down and steer away from the affairs of this thread that was constitutionally handed over to me?

All right, if that's the case, I'll agree with you if again by the 'Constitution' of this thread a higher percentage of the Law Makers (The Senate) pass a 'VOTE OF NO CONFIDENCE' against my administration (I know I won't be disappointed if God be for me), YOU can't just try to 'Usurp' my office without my 'Assent'. Lailai, so stop building castles in the air.

Here are the 'Usernames' of the members of the 'Senate':

1. Mathematician/Dr. Genius
2. Labodinho
3. Yemmytcm
4. @farano
5. Salzyswaag
6. Oyestephen
7. Tobexin
8. Lurve
9. Aurorae
10. Dr. Asiko
11. Moses Tosin
12. Oladimeji97 if I can still remember the actual digits
13. Hillsnite
14. Max_Ben
15. Oladoya
16. Mastermynd
17. Omosivie
18. Damosky12
19. Rashywire
20. Ugonna1054
21. Myke1759 if I still remember the actual digits
22. Jaynim
23. Engr Lucky
24. Ajani2010 I think I remember yours?
25. Rap Maestro
26. Godwin88 I still remember your digits
27. Mesopotamia
28. Walextopolino
29. Dapreacher
30. Owbeecee

Remember, if and only if a higher percentage of the usernames I just reeled out would pass the 'VOTE OF NO CONFIDENCE'. LOBATAN!
Let the votes start please. But as at now, Chief, I'm still the CSO!
----------------------
Cheers,
The CSO,
Ortarico.

*Moon walks into the thread*

----oooO---
----(----)----
-----\--(--
------\_)
-----------Oooo
-----------(----)---
------------)--/----
------------(_/-

For they shall come against me one way, and flee before me seven ways!

Ahyagayagaya! These pretty little kids nearly killed me today, if not for the mathemacetamol I quickly took, I for don hyper pass tension.
Awon omode iwoyi sha, ejo yin ma ko, tori e tin ni galfriend(s), ipade di inu ogba 'lag. I don get alof una face wey carry my matter today for head like 'Gala', and I don store am inside my photographic memory.
Haha, and I've now resumed my office as the 'Chief Security Officer' of this thread!
*sits triumphantly in his swivel chair*
----------------
Cheers,
The CSO,
Ortarico.

godofphysics: Topic:Time to battle it out wit ORTARICO
Sub-topic:Nobody shud interfere pls! (Lemme deal wit him)
Content:
1. If u add kingsolo, rashywire and my age 2geda, u tink say u go old pass us?(age is a number my broda, leave dat tin. Me wey i come see 1 gal wey i teach 4 ss3 some years bck on d queue for faculty reg nko? Wetin i go do? Mk i kill myself?)
2. Hw can u take dat Oladoya of a guy serious? To me, he has neva being serious 4 once. But all d same, he's still part of dis big family weda u lk it or not.
3. Hw cn u insult d only kingsolomakinde of dis kingdom sayin he has neva said anytin reasonable? Well, dat's ur personal opinion, me i like d guy scatter. At his age, if i knew wat he knows, who knws hw big i'd be by now. (Oga nor lemme provoke o)
4. Me i knw say i no sabi speak english o, but as an economist to be, guy, u nid to work on ur english bro
5. I'm expecting ur insultive reply as soon as possible coz i rly have time 4 u today.
............
Cheers
godofphysics

And who's this F-O-O-L writing to? I'm sure it's not me!

Kiingsolomon: Yeah Broda.
Juz that U reckoned his joke as an insult...

If U had been following UNILAG 2013/2014 ADMISSION thread from the outset.... U wuldnt hav taken OLADOYA this serious.

This same Oladoya said someone was having a "*fufu* cerebrum" on diz thread (precisely, TEAGUE). But d guy juz understood it was a joke, and also gave a funny response.
But, if it were U, U wuld hav taken it as sumtin else, juz as ure doing now.

Well,well!.... Broz, let bygone be bygone.


Eerrm!, eni orisha, oya punish dat oladoya for causing diz during diz festive period.....

*Laughs*
I won't be the one to tell you that I've been here since the time we bought forms for JAMB, you can find out for your own very self. Even when Oladoya said that, it was for my own case, when Teague and I had a slight difference, you are surprised ba? So, it is you that wasn't here from the onset. That's why I told you we've all been together for a long time. Oladoya is my boss and colleague, don't disrespect!
-----------
Cheers,
Ortarico.

rashywire: boss Ortarico, Those two guys didn't mean wat dey have said, n I want u 2 forgive n 4get like d@ because dey re only joking ni. looking @ oladoya's quote, he said "luckily I combined d 3 and it entered on my visafone " which u know is not possible.
we re brothers here only d@ we'v not met so we don't know egbon among us. just like what walextopolino said wen I called him, "anybody daf call me 4rm NL is my family" and it is as a result of d contributions u all contributes 2 dis great thread. tanks for d care u have u have shown to us broda, I know 1 day we will meet . we re sorry bro

Rash Baba,
I don even forget about the matter tey-tey, but are you serious they weren't meant?
The first line of boss Oladoya's comment was indeed harmful which was synonymous to chief Kingsolomon's , cause me knows how to distinguish jokes from insults. In fact, they even complimented each other for doing it by words. 'Treat others the same way you want them to treat you. And as for the 'egbon' thing, shey na because we both gained admission the same year and to the same Uni would warrant 'egbin' (impudence) abi? If not for the victimisation of circumstances, I know where I suppose dey, I can't blame God, I believe he's taking me to greater heights. No be sey I over vex oo.
We've met oo. . . Don't be surprised I know you wella. That day we also discussed but you dint recognise me. We met at MPH (Multipurpose Hall) the side opposite the post-graduate building, I won't say any farther. -------------
Cheers,
Ortarico.

Kiingsolomon: Woow!!...... Broda, I neva meant to infuriate U o. Abi U no see "smileys" ni? .......

U really hav a great sense of humour wit wat u posted there, which I quoted, (infact I laffed)...
So, y would I hav intended to insult u?, bro, jeje oo. I know we arent mate,..buh dnt take tinx too personally na.

Nd oladoya didnt mean to insult u either... He placified everything wif "Luckily for me, i conbined the whole numbers and it entered on my visafone.. Dont ask how much", does dat sound like an insult too?. Broz abeg oo!.


Oya!, how was the xmas ova there?

Of course boss I knew, cause it was quite clear but rather, somehow insulting which I couldn't tolerate for I was only trying to be comical and at the same time an emphatic way of saying Thank You for the joint efforts of all of you my united brothers and sisters, right from the days we obtained our Jamb forms, prepared for our post-utme, after the post-utme till this very moment is a memorable one. For the kindness we shew one another in terms of passing on reliable info, giving unwavering counsels, unlimited contributions, amongst others.

So, I believe I'm the grateful type cause that same post was also posted by me on the Nairaland Maths Gurus' Thread which my brother from another mother 'Labodinho', passed the motion for a renaming to Nairaland Maths Clinic some time ago which was granted to him, and I was welcomed for the post, let alone this thread.
I became quizzically shocked to see my own personal person and course mate (Oladoya) to first cast the stone of insult at me, it's totally uncalled for, but I've already gotten to understand his own case. If we are brothers why should we be the ones to request or wish one another spiritual and mental attacks? Just asking!

The xmas celebration was a memorable one as well.
-----------
Cheers,
Ortarico.

Kiingsolomon: ...

Abeg, why do we have Chemist Asiko in diz thread sef? .

Here is a serious quick-attention-seeking patient o!

Guy man, how dare you quote me to insult me? No lemme give you a HOT SLAP from where I dey oo. Abi I resemble your age mate ni?

It is you that need your head examined! You say nothing that shows sensibleness right from the very day you joined the here. I'm not even surprised that you've spent most of your time befuddling, writing japed faced written monstrosities! You better borrow sense and give respect to whom it's due to, for it's a reciprocating action and don't let me vent my anger on you, o boy, TAKE TIME!

oladoya: medically speaking.... You no well. Spiritually speaking you need to be checked. Anyway, asiko wil see to ur health while oga yemmy battles with the spirit in you. Luckily for me, i conbined the whole numbers and it entered on my visafone.. Dont ask how much

I reject it IJN, SMH. If e pain you, transformer dey everywhere go hug one!

Special thanks to those who cooperated and contributed to making the objectives of this great thread for 2013/2014 Akokites' session achieved with a huge success and lots of testimonies given to the glory of God! The bosses, Sirs and Ma'ams and most of all, the friends I made in the course of the thread.
Friendship is all about sharing what both parties have. That's why I'm sharing you half of the recharge cards I bought, for there's love in sharing: 6133375(MTN), 1133374(GLO), 3426453(ETISALAT).
There's no need to thank me please! Haba! What're friends for?
Merry Christmas and a prosperous New Year in advance. ONE LOVE!
----------------
Cheers,
Ortarico.

Special thanks to those I've learnt from and those that learnt from me in the course of this great thread, it was a huge success this year with lots of testimonies. A time I'll never forget in my life time. Thanks to my Masters, Contributors, Questioners and most of all the friends I made.
Friendship is all about sharing what both parties have. That's why I'm sharing you half of the recharge cards I bought, for there's love in sharing: 6133375(MTN), 1133374(GLO), 3426453(ETISALAT).
There's no need to thank me please! Haba! What're friends for?
Merry Christmas and a prosperous New Year in advance.
----------------
Cheers,
Ortarico.

engr lucky: Yeah. I've gotten another one. It's time to drop your digits.
Chief Ortarico, where art thou? Oya, come and drop your digits.
engrlucky@yahoo.com

Sent! I kukuma dey here watching from the sidelines boss.

rashywire: where on dis planet have u been? where is or last bus stop I'm d@ reg
we re going 2morrow 4 faculty reg.
I Rep MTH. Walextopolino n Solar energy, he 2morrow go b nw?

Hahaha. . . . Still on this planet Earth with you boss. I'll be going to the Univ. Of Full Stress tomorrow for the payment of school fees and wait till Friday for the final enrollment. I believe you've rounded-off with everything, have you?

Alpha Maximus: Hmmmmm, dis is actually the right solution but this looks copied and pasted. I smell a Cotonou rat in your source of solution. You failed to give an in-depth explanation as to how you arrived at some points thus making the stench of this Cotonou rat even more repugnant!! I'll post mine anyways........

Smell well until you smell the Indian mammoth you hear? I don't believe in writing stories all in the name of explanations, he who has understanding would know why the equation is like that and he who doesn't would ask questions. I think I told you that I'll still be the one to answer it correctly?
What's your question bro?

Alpha Maximus: Alright, I think I've cracked it.....solution loading, Ortarico watch and learn! *cracks knuckles in preparation*

Haha, no wahala na, you just failam you go see sey laugh no go finish for here and there, good-luck!

smurfy: A man has 10 gallons of a 50% sulphuric acid mixture, and 20 gallons of a 20% solution, and 5 gallons of a 10% solution. He wants to use up all the 10% solution and make 15 gallons of 30% solution. How much of each solution should he use?

Here is another trial;
Equation:
acid + acid + acid = acid
-----
0.10*5 + 0.50*x + 0.20(10-x) = 0.30*15
-------
Multiply thru by 100 to get:
10*5 + 50x + 20*10-20x = 30*15
--------
50 + 30x + 200 = 450
30x = 200
x = 20/3 = 6 2/3 gallons (amt. of 50% solution needed)
10-x = 3 1/3 gallons (amt. of 20% solution needed)

Since all the 10% solution is to be used up, the needed solution for the 50% solution is 6 2/3 gallons while for the 20% solution 3 1/3 gallons is needed.
-----------------------------------
Cheers

smurfy: Believe me, you are.

Although I've got another approach to solving the question, I'm anxiously waiting for the correction cause your word problem is an equation showing that Acid + Acid + Acid = Acid

rashywire: better man
how's d journey new? Abeg where prof. yemmy?
ortarico, I sight u ooo

Rash baba, I greet you powerfully bro!

Viewing this topic: Alpha Maximus(m), Ortarico(m)

Thank God you're here, oya attempt it na.

smurfy: Beautifully wrong.

hahahahahahahahahahahahahahahaha, IDONBILIVIT!

hillsnite: #On.behalf of my humble self..twas nice seeing u guys.. Bishop yemmy,boss laboz, prof ortarico, deity(eni -orisha),my oga owbeecee..... #nairaland re-union.
@mayor..faculty dues 4 eng is #7500,jes take along d doc signed @ screenin and ur bio data,lobatan.
Engr lucky oya mail ur number ova.

'twas great meeting with you guys, thanks! Now done with the first screening, Halleluyah oo!

benbuks: The mean deviation of 5 numbers is 4, when a number is removed, the mean deviation of the remaining numbers is 3 , what is that number ?

Let the number be denoted as 'n'
:. (4 x 5)-n/(5 - 1) = 3
(20 - n)/4 = 3
n = 20 - 12
n = 8

smurfy: A man has 10 gallons of a 50% sulphuric acid mixture, and 20 gallons of a 20% solution, and 5 gallons of a 10% solution. He wants to use up all the 10% solution and make 15 gallons of 30% solution. How much of each solution should he use?

Let each of the solution be represented with: 'a', 'b' and 'c', Thus, giving an equation;
50a + 20b + 10c = 30(15)
---
c = 5
15 = a + b + c
15 = a + b + 5
10 = a + b
b = 10 - a
---
50a + 20b + 10c = 450
50a + 20b + 10(5) = 450
50a + 20b + 50 = 450
50a + 20b = 440
---
50a + 20b = 440
50a + 20(10 - a) = 440
50a + 200 - 20a = 440
30a = 240
---
a = 8 gal
b = 2 gal
c = 5 gal

smurfy: Wow! Outstandingly correct! Now we all know who General Q is, don't we?

Is it me?