VU Answer Providing Correct MTH302 Assignment No 1 Solution Spring 2022. A Perfect Solved MTH302 Assignment 1 Solution 2022 File.


MTH302 Assignment 1 Solution Spring 2022

In the MTH302 course, you can study various important topics and lectures.


According to the VU schedule every semester they provide mth302 assignments for students to submit with solutions before the due date.


MTH302 Assignment 1 Solution 2022


Solution File Given Below.

 Q. A deposit of Rs. 6000 in a Bank account earns interest 5% compounded monthly for four years. How much amount is accumulated in the account after 4 years?



Solution:

Deposit P = 6000 RS


.r =  5% = 5/100 = 0.05


Term t = 4 years n = 12

A = ?


r n*t  

A = p 1+ n

0.05 12*4 48

A = 6000 1+

12

6000[1.0042]

6000[1.2228] = 7336.8RS


Accumulated amount A = 7336.8 RS.



Q.2

A 55-inch segment is divided into three parts whose lengths have the ratio 2 : 4 : 5. What is the length of the longest part?


Solution:

Total length = 55-inch Ratio is = 2 : 4 : 5

Sum of ratios =11


Length of longest part = (5/11)*55 inches = 25 inches .


Q3. Suppose that you establish an IRA (Individual Retirement Account) at age 43 and you will retire after 22 years hence at age 65. You plan to make annual payments of Rs1000 into the IRA at the beginning of each year. If you assume a rate of return of 8.5 percent a year, calculate the future value of your IRA when you will retire at age 65.


Solution:

paymentperperiod c = 1000RS

int erst rate i = 8.5% = 0.085

number of paymet n = 22

Futurevalue Fv = ?

(1+ i)n 1

Fv = c i

(1+ 0.085)22 1

5.018

Fv = 1000

0.085

= 1000 ⎢⎣ 0.085 ⎥⎦ = 1000[59.0353]

Fv = 59, 055.3 RS



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