Answer: it will take 4 months for the amount to be the same and the amount would be $95
Step-by-step explanation:
Let x represent the number if months it will take for the two accounts have the same amount of money.
Christiana opened her account with $55 and plans to deposit $10 every month. This means that the amount that in the account after x months would be
10x + 55
Marlena opened her account with $35 and plans to deposit $15 every month. This means that the amount that in the account after x months would be
15x + 35
For the amount in the accounts to be the same, the number of months would be
15x + 35 = 10x + 55
15x - 10x = 55 - 35
5x = 20
x = 20/5
x = 4
The amount would be
15 × 4 + 35
= 60 + 35
= $95
Answers:
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
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Explanation:
Here are all the ways to multiply to 18 when using integers only:
- -1*(-18) = 18
- -2*(-9) = 18
- -3*(-6) = 18
- 1*18 = 18
- 2*9 = 18
- 3*6 = 18
Sum each pair of factors to find out a possible value of b.
- -1 + (-18) = -19
- -2 + (-9) = -11
- -3 + (-6) = -9
- 1 + 18 = 19
- 2 + 9 = 11
- 3 + 6 = 9
Therefore, the possible values of b are
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
which are the final answers.
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An example:
Let's say b = 11. This would mean 
becomes 
It would factor to 
since it was stated earlier that:
2+9 = 11
2 * 9 = 18
You can use the FOIL rule, distributive property, or the box method to confirm that 
is a true equation for all real numbers x.
This same idea applies for the other values of b.
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If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)
Use the FOIL rule to get 
The middle term 
has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).
Answer:
Step-by-step explanation:
1) y = (cos x) / x is neither, since cos x is even and x is odd. Expressions such as this are neither even nor odd. /
2) y = (sin x) / x is even, since sin x and x would either both be positive at the same time or negative at the same time. Recall that (-) / (-) is positive, just as (+) / (+) is positive.
