At the beginning of this month, the balance of Agatha's checking account was $782.39. So far this month, she has received a paycheck via direct deposit of $932.48, been charged a monthly service fee from her bank of $20.00, used a debit card linked to her account to make a purchase of $36.82, written a check for $155.03 that has already been deposited, and deposited a check written to her for $79.13. What is the current balance of Agatha's checking account?

Answers

Answer 1
Answer: Agatha started out the month with $782.39 cents. After she received her paycheck, she had a balance of $1,714.87. Agatha then had a service fee and few purchases which left the total at $1503.02. She then had an additional check written to her for $79.13. The current balance after her last deposited check was $1,582.15.
Answer 2
Answer:

Answer: $1582.15

Step-by-step explanation:


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The volume of a rectangular box is 1,701 cubic inches. The box has a height of 10.5 inches and a length of 24 inches. What is the width of the box?6.75 inches 70.875 inches 162 inches 252 inches
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What does square root x^16 equal?

Answers

sqrt(x^16) is x^8.
As you can see, x^8 * x^8 = x*x*x*x*x*x*x*x * x*x*x*x*x*x*x*x which equals x^16
I don't know why Cortesalondra28 deleted my answer to the question and sayid it was wrong..
the square root is of 16 is 4, not 8.

While your statement X*X*X*X*X*X*X*X    *     X*X*X*X*X*X*X*X does equal x^16, that is not what the question is asking. 


300,000 to nearest 100,000?

Answers

Answer:

The answer is 3

Step-by-step explanation:

100,000 times 3 equal 300,000.

hope this helps you :)

Final answer:

When rounding 300,000 to the nearest 100,000, the result is 300,000 because it’s already a multiple of 100,000.

Explanation:

The question is asking to round the number 300,000 to the nearest 100,000. When rounding numbers, you look at the digit immediately to the right of the digit place you're rounding to. If this digit is 5 or greater, you round up; if it's less than 5, you keep the original number. In the case of 300,000, there are no digits to the right of the 100,000's place because it's already a multiple of 100,000. Therefore, 300,000 rounded to the nearest 100,000 is 300,000.

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Find the perimeter of a rectangle whose length is 3 square root 5 and width is 2 square root 7

Answers

The rectangle has a length of 3√5 and a width of 2√7. The perimeter is calculated as 23.9 approximately.

Use the concept of a rectangle defined as:

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Given that,

Length of the rectangle: 3√5

Width of the rectangle: 2√7

To find the perimeter of a rectangle,

Use the formula P = 2(length + width).

In this case,

The length is 3√5 and the width is 2√7.

Applying the formula, we get:

P = 2(3√5 + 2√7)

To simplify this expression, distribute the 2:

P = 6√5 + 4√7

p ≈ 23.9

Hence,

The perimeter of the rectangle is approximately 23.9.

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Answer:

Step-by-step explanation:

Area=Length times width

A=3√(5)*2√(7)

A=6√(35)

One recipe for cereal bars uses 5 cups of cereal and 2 1/2 cups of nuts. A different recipe uses 3 cups of cereal and 1 cup of nuts. Which recipe is more nutty?

Answers

The recipe that uses more amount of nuts is the 1st recipe, which uses 2.5 cups of nuts.

What is a fraction?

In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.

As per the information provided in the question,

Total nuts used in 1st recipe = 5/2 = 2.5 cups

Total nuts used in 2nd recipe = 1 cup

Compare the values of nuts used in both recipes.

The number of cups of nuts used in 1st recipe is greater than in the 2nd recipe.

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2 1/2 because it has more amount of nuts.

What is m∠DHG ?

[6(x-2)]°

Answers

we know that

Vertical angles are a pair of opposite and congruent angles formed by intersecting lines

so

Step 1

Find the value of x

[6(x-2)]\°=(3x+30)\° ------> by vertical angles

6x-12=3x+30\n6x-3x=30+12\n3x=42\nx=14\°

Step 2

Find the value of m∠DHG

m∠DHG=[6(x-2)]\°

substitute the value of x

m∠DHG=[6*(14-2)]\°

m∠DHG=[6*(12)]\°

m∠DHG=72\°

therefore

the answer is

m∠DHG=72\°

the answer is 72 i just took the test

write an equation in point slope form for the line through the given point with the given slope (8,3) m =6

Answers

Hope it helped you.
Point slope form
y -y1=m(x-x1) where (x1,y1) is the point and m is the slope
y - 3 = 6(x -8)