Answer:
Therefore Neither option A nor option B will allow them to meet their goal....
Step-by-step explanation:
The Polleys need to save $6,000 over 12 months.
After 7 months they discovered that they have saved $ 3,100 but in actual they have to save $3,500. It means $400 are short. Therefore for the remaining months they must save $6000-$3100 = $2900. They have to save 2900/5 = $580 each month.
According to the Option A The original amount was $500, in 5 months they will save 500*5 =$2500. They need total of $2900, which means $400 are short.
According to the Option B Increase savings each month by $100 from their original plan makes a total amount of $3000. This amount exceeds their goal.
Therefore Neither option A nor option B will allow them to meet their goal....
Answer:
-2g -10
Step-by-step explanation:
On simplifing this expression we get,
-2(g+5)
=> -2g + (-10)
=> -2g - 10
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Answer: x = 5/2 = 2.5
Step-by-step explanation:
<u>Given expression</u>
2x (x + 3) = 2x² + 15
<u>Expand parentheses and apply the distributive property</u>
2x · x + 2x · 3 = 2x² + 15
2x² + 6x = 2x² + 15
<u>Subtract 2x² on both sides</u>
2x² + 6x - 2x² = 2x² + 15 - 2x²
6x = 15
<u>Divide 6 on both sides</u>
6x / 6 = 15 / 6
x = 15/6
![\boxed{x=\frac{5}{2} }](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D%5Cfrac%7B5%7D%7B2%7D%20%7D)
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Answer:
68%
Step-by-step explanation:
Probability of occurrence of Event v = P(v) = 28% = 0.28
Probability of occurrence of both Events v and Event w together = P(v and w) = 19% = 0.19
We have to find what is the probability that event w occurs with event v given that event v occurs on a Tuesday. This is a conditional probability. In other words we have to find what is the probability of event w given that event v occurs of Tuesday. i.e we have to find P(w|v)
The formula to calculate this conditional probability is:
![P(w|v) = \frac{P(v \cap w)}{P(v)}](https://tex.z-dn.net/?f=P%28w%7Cv%29%20%3D%20%5Cfrac%7BP%28v%20%5Ccap%20w%29%7D%7BP%28v%29%7D)
Using the given values, we get:
![P(w|v) = \frac{0.19}{0.28}\\\\ P(w|v) = 0.68\\\\ P(w|v) = 68\%](https://tex.z-dn.net/?f=P%28w%7Cv%29%20%3D%20%5Cfrac%7B0.19%7D%7B0.28%7D%5C%5C%5C%5C%20P%28w%7Cv%29%20%3D%200.68%5C%5C%5C%5C%20P%28w%7Cv%29%20%3D%2068%5C%25)
Therefore, the probability that even w will occur with event v given that event v occurs on Tuesday is 68%