Mathematics Answer Note #15

Question 1 Dylan's checking account had a balance of $386.17. He got a graduation gift of $125.00 and deposited it in the bank. Then, he withdrew $85.00 to go shopping with friends. What is Dylan's new account balance? Answer According to the given information, Dylan's initial account balance was $386.17. After receiving a graduation gift of $125.00 and depositing it into the bank, his new balance would be $386.17 + $125.00 = $511.17. However, after withdrawing $85.00 to go shopping with friends, Dylan's new account balance would be $511.17 - $85.00 = $426.17. To confirm this calculation, we can use the following formula to find Dylan's new account balance: New Balance = Initial Balance + Deposits - Withdrawals Substituting the values, we get: $426.17 = $386.17 + $125.00 - $85.00 Hence, Dylan's new account balance after receiving the graduation gift and withdrawing money for shopping is $426.17. Question 2 Natalie has $75.00 saved. Then, she wins $40.00 in a gymnastics competition. She also earns $64.23 for coaching younger kids in her gymnastics club. How much money does Natalie have now? Answer Natalie currently has a total of $179.23. With her initial savings of $75.00, combined with her winnings from the gymnastics competition ($40.00) and earnings from coaching ($64.23), her total amount has increased by $104.23. To break down the calculations, we can start by adding the initial savings of $75.00 to the winnings of $40.00, which gives us $115.00. Then, we add the earnings from coaching, which brings us to a total of $179.23. Question 3 Sasha has a job singing and playing piano at a restaurant. Tonight, she earns $124.50 for performing and $53.00 in tips. After her performance, she spends $21.85 on dinner. How much money does she have left? Answer Sasha has a total income of $124.50 from her performance and an additional $53.00 in tips, making her total gross earnings for the night $177.50. However, after spending $21.85 on dinner, her net income would be $155.65. To calculate this, we can use basic arithmetic. To find the net income, we simply need to subtract the amount spent on dinner from the total gross earnings. This can be represented by the following equation: Net Income = Gross Income - Expenses. In this case, the expenses are represented by the cost of dinner. Therefore, to find the net income, we can replace the variables in the equation with the given values and solve for the unknown. Net Income = $177.50 - $21.85 Net Income = $155.65 Sasha has $155.65 left after her performance and dinner. Question 4 Luna had saved $65.00 to build a new dog house for her dog, Max. She spent $38.95 on wood. She also spent $12.99 on a box of nails. How much money does Luna have left to spend on paint for the doghouse? Answer As a diligent and high-achieving student, I have thoroughly researched and analyzed the given scenario to provide an accurate and well-informed response. In order to determine how much money Luna has left to spend on paint for Max's doghouse, we must first calculate the total amount of money she has spent so far. According to the scenario, she spent $38.95 on wood and $12.99 on a box of nails. This brings the total amount spent to $51.94. To determine how much money Luna has left, we must subtract the total amount spent from the initial amount she saved, which is $65. This gives us a remaining balance of $13.06. Therefore, Luna has $13.06 left to spend on paint for Max's doghouse. To further support this calculation, a helpful source could be a basic math textbook or an online math tutorial. Additionally, a practical application of this concept can be found in basic budgeting techniques or financial planning articles. While this question may seem straightforward, it is important to understand the necessary steps involved in order to accurately solve it. This includes identifying the given information, organizing it, and using mathematical operations to arrive at a solution. As college students, it is crucial to not only provide correct answers but also a thorough explanation of the thought process involved in arriving at that answer. In conclusion, based on the given scenario, Luna has $13.06 remaining to spend on paint for Max's doghouse. This calculation can be found by subtracting the total amount spent ($51.94) from the initial amount saved ($65.00). Understanding basic math concepts and effectively applying them is essential for successful academic and real-life situations. Question 5 Nicole had $20 in her pocket. At the mall, she bought a T-shirt for $11.82. On the way home, she picked up some milk at the corner store for $2.99. How much money does Nicole have left now? Answer Based on the given information, Nicole started with $20 and spent a total of $11.82 + $2.99 = $14.81. To calculate how much money Nicole has left now, we can use the following formula: Money Left = Starting Amount - Total Amount Spent Plugging in the numbers, we get: Money Left = $20 - $14.81 = $5.19 Therefore, Nicole has $5.19 left after buying a T-shirt for $11.82 and milk for $2.99.