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vazorg [7]
3 years ago
7

A shop recorded total sales of $2,000 on Monday. On Tuesday, its sales fell by 10%. On Wednesday, sales fell by another 20% comp

ared with Tuesday. From Wednesday to Thursday, sales increased by an amount equal to 25% of Monday’s total sales.
What is the net change in total sales from Monday to Thursday?
Mathematics
1 answer:
enyata [817]3 years ago
7 0
2000 - Monday
2000 - 0.10(2000) = 1800 -- Tuesday
1800 - .20(1800) = 1440 -- Wednesday
.25(2000) + 1440 = 1940 -- Thursday

net change = 2000 - 1940 = 60 <== net change
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Given the below sequence:
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Answer:

a) The next three terms are -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence

C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.

d) The 27 th term is -53

Step-by-step explanation:

a)  the given sequence is arithmetic sequence

the difference of second term and first term is -2

given sequence is -1,-3,-5,-7.....

the nth term in arithmetic sequence

t_{n} = a+(n-1)d

First term is a = -1 and difference is d = -2

finding fifth term is

t_{5} = -1 +(5-1)(-2)

t_{5} = -1-8 =-9

finding sixth term is

t_{6} = -1 +(6-1)(-2)

t_{6} = -1-10 =-11

finding seventh term is

t_{7} = -1 + (7-1)(-2)

t_{7} = -1 -12 =-13

The next three terms are  -9,-11,-13

The given sequence is -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence.

C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.

d) by using nth term formula in arithmetic sequence

t_{n} = a+(n-1)d

a= -1 and d =-2

<u>find 27 t h term :-</u>

<u></u>t_{27} = -1 + (27-1)(-2) = -1-52=-53<u></u>

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The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?
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Answer:

a. x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8

Step-by-step explanation:

Given that

8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9

Now

if one is added i.e.

2d^5 - c^3d^2 + 8cd^4 + 1

Now let us assume the other polynomial be x

So,

8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 = x  + (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\x = 8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 - (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\

x = (8d^5 - 2d^5) + (-3c^3d^2 + c^3d^2) + 5c^2d^3+ (-4cd^4-8cd^4) + (9-1)\\\\x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8

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