Answer:
$12159 per year.
Step-by-step explanation:
If I invest $x each year at the simple interest of 7.5%, then the first $x will grow for 35 years, the second $x will grow for 34 years and so on.
So, the total amount that will grow after 35 years by investing $x at the start of each year at the rate of 7.5% simple interest will be given by
= ![35x + \frac{x \times 7.5}{100} [35 + 34 + 33 + ......... + 1]](https://tex.z-dn.net/?f=35x%20%2B%20%5Cfrac%7Bx%20%5Ctimes%207.5%7D%7B100%7D%20%5B35%20%2B%2034%20%2B%2033%20%2B%20.........%20%2B%201%5D)
= ![35x + \frac{x \times 7.5}{100} [\frac{1}{2} (35) (35 + 1)]](https://tex.z-dn.net/?f=35x%20%2B%20%5Cfrac%7Bx%20%5Ctimes%207.5%7D%7B100%7D%20%5B%5Cfrac%7B1%7D%7B2%7D%20%2835%29%20%2835%20%2B%201%29%5D)
{Since sum of n natural numbers is given by 
}
= 35x + 47.25x
= 82.25x
Now, given that the final amount will be i million dollars = $1000000
So, 82.25x = 1000000
⇒ x = $12,158. 05 ≈ $12159
Therefore. I have to invest $12159 per year. (Answer)
The <em><u>correct answer</u></em> is:
Her variable expenses can be reduced.
Explanation:
In a household budget, you have fixed expenses and variable expenses.
Fixed expenses are expenses that are the same from month to month, such as a car payment, rent, power bill, etc. These cannot be reduced; if you were to pay less on your car payment, your car would be repossessed; paying less than you owe on the power bill can result in your power being disconnected; etc.
Variable expenses are expenses that are different from month to month, such as food, clothing, shopping, etc. If you are dealing with a situation where your wages are less than you anticipate, you can reduce items within your variable expenses to make sure you have enough money. For example, you can purchase fewer clothes that pay period or cut your grocery bill down.
Answer:
The last one
Step-by-step explanation:
The first one would be multiplication because you want to find the total thickness, the second one is division because it gives the total value and the amount of bags, the third one is addition because it gives you a starting value and says that they work this amount more in this month, and the last one is subtraction because he first pays with a gift card, and then with cash.
Hopefully that helped
It’s a. Start at the y intercept and rise over run to the next point.
Answer:
Cost price of each cup = 1500/6 = 250
Selling price of each cup = 1650/5 = 330
Step-by-step explanation:
Cost price of cups = 1500
Profit = 10%
Selling price of cups = ?
Profit and loss percentage are calculated based on cost price and the formula to calculate profit is mentioned as under:
Profit percentage (%) = Profit x 100/Cost price
10 = Profit x 100/1500
⇒ Profit = 10 x 1500/100
⇒ Profit = 150
The formula for finding selling price is mentioned as under:
Selling Price = Profit + Cost Price.
Selling Price = 150 + 1500
⇒ Selling Price = 1650.
Since one of the six cups was broken that means the seller earned profit based on only 5 cups, it implies that selling price of each cup will be 1650/5 = 330.
