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MTH302 Assignment 1 Solution 2021

 MTH302 Assignment 1 Solution Spring 2021

MTH302 ASSIGNMENT 1 SOLUTION SPRING 2021

Question 1:                                                     

If a person provide payments of Rs.15000 at the end of each 3rd month for 7 years and interest is 13.5% compounded quarterly, then calculate how much money is deposited.

Solution:  

First, convert R as a percent to r as a decimal r = R/100 r = 13.5/100 r = 0.135 rate per year,   Quarterly = 0.135/4 = 0.03375

Then solve the equation for A A = P(1 + r) nt A = 15,000(1 + 0.03375) (28) A = Rs. 37,994.95 Summary: The total amount accrued, principal plus interest, with compound interest on a principal of Rs. 15,000.00 at a rate of 13.5% per year compounded 4 times per year over 7 years is Rs.37,994.95.

Question 2:                                                      

Suppose two mobile phone companies sell their internet packages as 256KB connection for Rs.1500 per month, 512KB connection for Rs. 1900 per month, 1MB connection for Rs. 2800 per month, and 4MB connection for Rs. 3800 per month. 

The table below summarizes the number of connections both companies have sold per month:

What is total annual revenue of Company A? 

What is total quarterly revenue of Company B? 

(Use Matrices to illustrate the above information)

What is total annual revenue of Company A?

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MTH302 Assignment 1 Solution Fall 2021 Virtual University

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Table of Contents

MTH302 Assignment 1 Solution Fall 2021

Question NO 1

The formula for area is: A=1/2(Base×Height)

Let Suppose the height is fixed and that is 10 meter

now putting the values area changed for 30 S1.m

30= 1/2 (base*10) 30*2=base*10 =60/10=6

Now Putting the value for 35sq.m

35*2=base*10

To find the percentage increase in value the formula is

C=(x_2-x_1)/x_1

C=(7-6)/6 =1/6 =0.16100=16%

The percentage change in the base of the triangle is 16%.

Question NO 2

First Package

2 Islamic book = 1252 = 250 Reminder Islamic books …..0 2 science book = 1252 = 250

Reminder Science books are 50

2 Geography = 125*2 = 250

Reminder geography books are 20

Let’s Make the 2nd package

2 Islamic book = 752 = 150 Reminder books are : 100 4 Science book = 754 = 300

Reminder books are: 0

1 Geography Book = 75*1 = 75

Reminder books are: 195

Let’s make the 3rd package

3 Islamic book are = 543 = 250 Reminder books : 88 4 Science book are = 544 = 216

Reminder books are : 84

5 Geography books are = 54 * 5 = 270

Now how many packs should be made to maximize the book fair:

125 for first package

75 for 2nd package

54 for 3rd package

What will be the profit now?

By multiplying the package by the given prices

120125 = 15000 10075 = 7500

270*54 = 14580

Question NO 3

Series discount of 3%, 5%, and 7%

The formula for series discount is quite simple

Net price = L*1(1-d_1 )(1-d_2 )(1-d_3 )

List Price = 16,000,000

N = 16,000,000 * 1 (1-3%)(1-5%)(1-7%)

Net Price = 16,000,000

N=16,000,0001(1-3%)(1-5%)(1-7%) N=16,000,0001(1-0.03)(1-0.05)(1-0.07)

N=16,000,0001(0.97)(0.95)(0.93) N=16,000,0000.856995

N=13,71,192

Deal 2: A Cash Discount of 15/10 (i.e. 15% discount if payment is made in the first 10 days).

the formula for cash discount is

N=16,000,000(1-15%)

N=16,000,000(0.85)

N=13,60,000

The deal No 1 is: N=13,71,192

The deal no 2 is: N=13,60,000

So as a buyer, we will be in more benefits if we buy the 2nd deal.

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MTH302 Assignment No 1 Solution Spring 2022

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Mth302 Assignment 1 Solution

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