Mathematics, 24.08.2020 14:01 jonathanmontalv

the annual income of a person is rupees 285000 find the annual income tax if he paid zakat rupees 7125 and rupees 2000 as a wealth tax. the rebate of tax is 80000 rupees per annum

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Answer from: Quest

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

Answer from: Quest

16.80 times .20= 3.36

step-by-step explanation:

Answer from: Quest

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a. $y = 60(1) - 90 \\ y = 60 - 90 \\ y = - 30$ this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b. $y = 60(1) - 150 \\ y = 60 - 150 \\ y = - 90$ this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )

Answer from: Quest

Hello!

the answer is:

the lateral area is equal to $352m^{2}$

$lateralsidearea=352m^{2}$

why?

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

$baseperimeter=4s$

$lateralsidearea=\frac{1}{2}baseperimeter*slantheight$

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

$s=8m\\slantheight=22m$

now, calculating the perimeter of the base, we have:

$baseperimeter=4s=4*8m=32m$

then, calculating the lateral area:

$lateralsidearea=\frac{1}{2}baseperimeter*slantheight$

$lateralsidearea=\frac{1}{2}32*22m=352m^{2}$

hence, we have that the lateral area is equal to $352m^{2}$

have a nice day!

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