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On 29 March 202,Justin deposited 3500 into savings account.The simple interest rate agreed upon was7,5%per year.The accumulated amount in the savings account on 1 October 2022 is?


Derive the relation between beta and gamma


Determine the present value of loan if R12000 is due in 5 years,at a simple discount ra15% per annum


3a. Consider the line L that passes through the point P0(4, 2, -3) is parallel to the vector


⟶ [ 2

u = -1 <----Matrix

6]


Find a vector equation and the parametric equations of the line L.


b. Find the point of intersection of the line L with the xy-plane (z = 0).



2a. Solve the quadratic equation

3z2 + (a - i)z + 3i = 0.


b. Solve the following system of equations of complex numbers:


z + iw = 1 + 2i

z - w = 1 -2i




1a) Find the real numbers a and b such that

i5(3 - 2i)2 - (a - bi) = a - bi.


b. Let z1 =  √3 + i and z2 = √3 - i. Show that

z161 + z261 = 261√3.


(Remember that: cos(- θ) = cos(θ), sin(θ) = -sin(θ) = -sin(θ), cos(2kπ + θ) = cos(θ) and sin(2kπ + θ) = sin(θ) )

  • A) Create a function called To_Celsius that takes in a temperature in Fahrenheit temperature and returns the equivalent in Celsius.
  • B) Create another function called To_Fahrenheit that takes in a temperature in Celsius and returns the equivalent in Fahrenheit.
  • C) Use these functions to write a function called Print_EQ_Temps that prints out the Fahrenheit equivalents of all Celsius temperatures from 0°-100°, and the Celsius equivalents of all Fahrenheit temperatures from 32°-212°. Then, call this function in your program.


Hint: Use for loops to input into your functions.


It took 2 mins.15 sec for a volume of chlorine to effuse through a pinhole. How long will it take the same volume of water vapour to effuse through the same hole under the same condition of temperature and pressure?


A swinging pendulum has a period of 17.0s when the length is shortened by 1.5m, it's period is 8.55 calculate the original length of the pendulum


How to can write a C++ program that will print the following shapes.


A.


*


***


*****


*******


*********


B.


*


***


*****


***


*

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