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olya-2409 [2.1K]
2 years ago
11

108t^2-60t factor the polynomial

Mathematics
1 answer:
Anastaziya [24]2 years ago
5 0
Factor out 12t to get 12t(9t-5)
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Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of t
LuckyWell [14K]

Answer:

D. 1000 - 100w \geq 500; w \leq 5

Step-by-step explanation:

Given:

Initial amount in the bank = $1000

Money withdrawn each week = $100

Final amount should be at least $500.

Now, let the number of weeks the money is withdrawn be 'w'.

Therefore,

Money withdrawn in 'w' weeks = \textrm{Money withdrawn each week}\times w

Total Money withdrawn in 'w' weeks = 100w

Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,

Final amount = Initial amount - Total withdrawal amount

Final amount = 1000 - 100w

Now, final amount must be greater than or equal to $500. So,

\textrm{Final amount}\geq500\\\\1000-100w\geq500

Therefore, the  inequality that represents the inequality for the number of weeks Amy can withdraw money is:

1000-100w\geq500

Now, let us solve for 'w'.

Adding -500 and 100w both sides, we get:

1000-500-100w+100w\geq500-500+100w\\\\500\geq100w\\\\\textrm{The above inequality is reversed when taking 100w on the left side}\\\\100w\leq500\\\\w\leq\frac{500}{100}\\\\\therefore w\leq5

Therefore, the correct option is (D).

7 0
3 years ago
1. What is 35% of 80?
Alex_Xolod [135]

1. 28

2. 41.66%

3. 88%

4. 36

5. 94.5

6. 30%

7. 83.33%

8. 20%

9. 20%

10. 62.5%

11. 80%

4 0
3 years ago
You have $75.00 to spend at the mall. You want to buy a hoodie that costs $80.00. The store is having a 20%-off sale. (There is
lesya692 [45]
Ok so find 20% off and see if less tha 75
percent means parts out of 100
20% means 20/100=1/5

'of' means multiply

20% of 80=1/5 times 80=16

off means subtract
disctoun tof 16 is 80-16=64
64<75

how much left over
75-spent=left over
75-64=11


anwwer is $11 left over and enough money to buy
6 0
2 years ago
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Using the answers from z^4=16 determine the solutions of the equation (x+1)^4=16(x-1)^4​
Artemon [7]

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️.

4 0
3 years ago
A supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combi
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108 lb of mulch and 64 lb of gravel
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