How many sixths are in 3 and 1 third ??

The required inequality for the least amount of money he needs to deposit to avoid a fee is 727.29 - 248.50 + x ≥ 500 and he needs to deposit at least $21.21 in her account to avoid a fee.

What is inequality?

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Amount in the account = $727.29

Amount in the check = $248.50

Amount need to maintain = $500

Now let x be the Tony needs to deposit.

So, total balance in the account =  727.29 - 248.50 + x

Since, he must maintain a $500 balance to avoid a fee. That means the balance can be greater than or equal to $500.

Thus the required inequality is:

727.29 - 248.50 + x ≥ 500

Adding alike terms,

468.79 + x ≥ 500

Subtracting 468,79 both the side we get,

x ≥ 500 - 468.79

Solving we get,

x ≥ 21.21

Therefore, he needs to deposit at least $21.21 in her account to avoid a fee.

Thus,the required inequality for the least amount of money he needs to deposit to avoid a fee is 727.29 - 248.50 + x ≥ 500 and he needs to deposit at least $21.21 in her account to avoid a fee.

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Using matrices to solve, the number of calories that are in 1 serving of milk is; 110 Calories

How to solve Linear Programming problems?

Let the calories in one serving of milk be x

Let the calories in one serving of juice be y

Let the calories in one serving of soda be z

Thus, for Joe, equation to show amount of calories is;;

2x + y + z = 530    -----(1)

For Darius, equation to show amount of calories is; ;

x + 2y = 370     ------(2)

For Marian, equation to show amount of calories is;

3x + z = 510    ------(3)

Using matrix calculator online to calculate this 3 equations, we have;

x = 110 calories.

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Answer:

the answer is B on ed2020

Step-by-step explanation:

for answer b, if you subtract 330 from 510 you get soda = 180 cal. then if you subtract 110 from 370 you get 260, and 260 divided by two (he consumed 2 juice) equals 130.

so you have soda = 180 cal and juice = 130 cal

if you plug it into joe's calorie intake you do 130 (1 serving of juice) + 180 (1 serving of soda) and + 220 (two servings of milk) you get 530 which is joe's total calorie intake in liquids, so B (110) is correct

The correct option is Inflation increases interest rates, because lenders must charge more to gain a benefit on devalued money.

What is inflation?

Inflation is the rate of increase in prices over a given period of time. Inflation is typically a broad measure, such as the overall increase in prices or the increase in the cost of living in a country.

Inflation will affect interest rate levels.

The higher the inflation rate, the more interest rates are likely to rise. This occurs because lenders will demand higher interest rates as compensation for the decrease in purchasing power of the money they are paid in the future.

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