Algebra Answers

An Oil and Gas Company offers a position to Amirul with the starting salary of
RM54,000
per year and annual increment of
15%.
(a) Find his salary of fifth years.
(b) Show that his total salary from the first year to the nth years is
RM360,000 (1.15^n-1)
(c) Find the number of years that he has worked if his total salary is exceed
RM3,654,670.

An Oil and Gas Company offers a position to Amirul with the starting salary of
RM54,000
per year and annual increment of
15%.
(a) Find his salary of fifth years.

A donut shop is going to sell donuts for a price P that is no less than 60 pence and no more than 150 pence. The shop determines that the number of donuts that it will sell is given by the following formula: 750 – 5P. What price should the shop charge to maximise revenue?

Find the 5th term and the sum of the first 5 terms of the geometric sequence 2, -1/2,1/8,....


Determine the first terms of the terms of the sequence of {(-1/n)power to n} and give their corresponding sum.

The city of Sine conducts a traffic study to determine whether a new red light is needed at an intersection downtown. According to a previous study, the number of cars passing through the intersection daily in 1999 was 124. The current study shows 374 cars pass through the intersection daily. What is the percent change in the number of cars passing through the intersection daily? Round your answer to the nearest tenth of a percent.
$$ explain why.

An athlete is 18% efficient performing a specific exercise. They eat an apple,
which delivers 490 kcal to their body. For how many minutes must they exercise,
generating mechanical energy at a rate of 200 W, to “burn off” the calories contained in
the apple?

Evaluate the indefinite integral
∫(1x7+85x)dx

+ C

Find the most general antiderivative for the function 6x−−√3−5x2−−√3.
Antiderivative =

Let f(x)=8x−2ex.