Subjects personal finance

Cashback Card 3714Cd

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Question: 27. A financial institution is a business that helps people keep, save, and borrow money. Which of these are financial institutions? Select all that apply. A grocery store A bank A toy store A savings and loan association A credit union 28. A financial institution is a business that helps people keep, save, and borrow money. Which of these are financial institutions? Select all that apply. A movie theater A gas station A credit union A savings and loan association A bank 29. These are important words used at banks and credit unions. Match each money word to its meaning. 1 Deposit 2 Loan 3 Interest 4 Save Match with: A. Money you put into a bank account B. Extra money paid for keeping or borrowing money C. Money a bank gives you now that you pay back later D. To keep money instead of spending it 30. Which is an advantage of using debit cards (bank cards linked to a checking account)? You keep a paper stub for each purchase No interest charges because you use your own money You pay interest on every purchase You can pay over several months 31. Select all the good reasons to save money. To never use it for anything To have money for emergencies To pay for college someday To go on a trip with your family 32. A bank offers two debit cards. The basic card has a monthly fee and offers no cash back. The premium card has a monthly fee of $25, but offers 2.4% cash back on all purchases. At a minimum, how much would one month’s spending have to be for the cashback card to be the better choice? Round to the nearest dollar.
1. **State the problem:** We need to find the minimum monthly spending $x$ such that the premium card with a $25$ monthly fee and $2.4\%$ cash back is better than the basic card with a monthly fee but no cash back. 2. **Set up the inequality:** Let $x$ be the monthly spending amount. Cost of basic card = monthly fee (unknown, but since we want the premium to be better, we compare the net cost difference) Cost of premium card = $25 - 0.024x$ We want the premium card to be better, so: $$25 - 0.024x < 0$$ 3. **Solve the inequality:** $$25 < 0.024x$$ Divide both sides by $0.024$: $$\frac{25}{\cancel{0.024}} > \frac{0.024x}{\cancel{0.024}}$$ $$x > \frac{25}{0.024}$$ 4. **Calculate the value:** $$x > 1041.666\ldots$$ 5. **Round to the nearest dollar:** $$x > 1042$$ **Answer:** The monthly spending must be at least $1042$ for the premium card to be the better choice.