Yes, it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.
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Relationship between the amount saved and the number of months</h3>
After 1 month, Jane will saved=$35+$100
After 1 month, Jane has saved=$135
Hence,
Let x represent the number of months
Since every month she saved $35 which inturn means that in x number of months she can save 35x. Based on this the relationship between the amount saved and the number of months is 35x +100.
Therefore it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.
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153 x 7.14 = 1092.42
so every year she gets $1092.42
so times that by 6 and the answer is $6554.52
The answers are
11. c) 7x² +5x +8 remainder 7.
12. d) 6x² -6x +3 remainder 2x.
Step-by-step explanation:
Step 1; By dividing 7x³ -2x² +3x -1 with x -1 we get the following calculations. We multiply 7x² with x-1 and get 7x³ - 7x². We subtract this from 7x³ -2x² and get 5x². Now we add this with the 3x in 7x³ -2x² +3x -1. We get 5x² +3x. We multiply x -1 with 5x and get 5x² -5x and subtract it from 5x² +3x and get 8x. We multiply the x -1 with 8 and get 8x -8. We subtract this from 8x -1 and get a remainder of 7. So the quotient is 7x² +5x +8 with a remainder of 7.
Step 2; By dividing 6
+0x³ -3x² +5x with x² +x we get the following calculations. We multiply 6x² with x² +x and get 6
+6x³. We subtract this from 6
+0x³ and get -6x³. Now we add this with the -3x² in 6
+0x³ -3x² +5x. We get -6x³ -3x². We multiply x² +x with -6x and get -6x³ -6x² and subtract it from -6x³ -3x² and get 3x². We multiply the x² +x with 3 and get 3x² +3x. We subtract this from 3x² +5x and get a remainder of 2x. So the quotient is 6x² -6x +3 with a remainder of 2x.