Carlos has $50 in his savings account. He deposits $100 on his birthday, and then another $25 every month. Which equation can be
2 answers:
Answer:
Step-by-step explanation:
Given : Carlos has $50 in his savings account. He deposits $100 on his birthday, and then another $25 every month.
To Find: Which equation can be used to find the number of months it would take him to reach a balance of $500?
Solution:
Carlos has $50 in his savings account.
He deposits $100 on his birthday.
Let m be the number of months
He save $25 every month
So, he saves in x months = 25 m
Now wants to reach a balance of $500.
So, equation becomes:
:
Hence Equation can be used to find the number of months it would take him to reach a balance of $500 is
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Answer: (3b + 5)(3b - 5)
Because both terms, 9b² and 25, are perfect squares, you can factor by taking the square roots of both terms.
The square root of 9b² is 3b (3b × 3b = 9b²).
The square root of 25 is 5 (5 × 5 = 25).
9b² - 25 has a negative, so the factored expression would be
(3b + 5)(3b - 5). The signs (+ and -) alternate in this case because the expression, 9b² - 25, has no middle term.
You can check your work by using FOIL. See the attachment below.
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O utside
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