PLEASE ANSWER!!!!! After five years of earning interest at an annual rate of 3%, an investment has earned $950 in interest. To the nearest whole dollar, determine the amount of the initial investment. Show all work for full credit.

The repeating decimal as a fraction can be represented as [tex]\mathbf{\dfrac{1}{3}}[/tex]

A repeating decimal is known to be a continuous decimal expressing a number with an indefinite reoccurring part after the decimal point that is not zero.

From Farrah's math grade average score of 93.3%;

[tex]\mathbf{= \dfrac{3}{9}} \\ \\ = \mathbf{\dfrac{1}{3}}[/tex]

Check:

[tex]\mathbf{\dfrac{1}{3}}}[/tex]   in decimal results into a repeating decimal 0.33333333

Therefore, we can conclude that repeating decimal as a fraction is represented as  [tex]\mathbf{\dfrac{1}{3}}[/tex]

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The required area of the regular quadrilateral is 9 square inches.

Given that,
The perimeter of a regular quadrilateral is 12 inches. What is its area is to be determined.

A quadrilateral is a four-sided shape, regular or nonregular.
Examples:- square, rectangle parallelogram etc.

Here,
A regular quadrilateral is a square.
the perimeter of the rectangle = 4 × side
12 = 4 × side
side = 12 / 4
Side = 3 inch
Area of the square = side²
Area of the square = 3²
Area of the square = 9 square inches

Thus, the required area of the regular quadrilateral is 9 square inches.

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Answer/Step-by-step explanation:

7.45/0.095 = 78 seconds

To calculate the elevation difference between Talon Bluff and Salt Flats, you subtract the elevation of Salt Flats from the elevation of Talon Bluff, resulting in a total ascent of 675.78 feet

The question asks about the elevation difference between two points, Salt Flats and Talon Bluff. To find the difference in elevation, you simply subtract the elevation of Salt Flats from the elevation of Talon Bluff. Therefore, the difference is

Elevation of Talon Bluff - Elevation of Salt Flats = 620.75 ft - (-55.03 ft) = 675.78 ft.

This means that the hikers ascended a total of 675.78 feet in elevation from the Salt Flats to Talon Bluff

Sandra and Teo will have a total of 96 items for the bake sale. We find this by first multiplying the number of trays Sandra baked by the number of cookies per tray, then multiplying the number of Teo's brownie pans by the pieces per pan, and finally adding our two results together.

The subject of the question is Mathematics, specifically it is an arithmetic problem involving multiplication and addition. It is a middle school grade level question.

To solve it, we need to multiply the number of trays Sandra baked by the number of cookies on each tray. So, 4 (trays) * 12 (cookies) = 48 cookies.

Next, multiply the number of brownie pans Teo baked by the number of pieces each pan was divided into. That is, 6 (pans) * 8 (pieces) = 48 brownies.

Finally, to find the total number of items for the bake sale, we simply add our two results: 48 (cookies) + 48 (brownies) = 96 items.

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The term given to a number sentence with expresses the equality between two expressions is called an equation.

Therefore, two expressions seperated by an equality sign is called an equation.

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The volume of Andrei's tank is 53 liters. To fill the tank with 20 liters of water, Andrei needs 82 marbles, as marbles and water together must reach the tank's total volume.

To find the volume of the glass tank that Andrei has, we need to calculate the total volume of marbles and water that fills the tank. Since each marble has a volume of 0.4 liters and he uses 50 marbles, the total volume of the marbles is:

With 33 liters of water needed to fill the tank after the marbles are added, the total volume of the tank is:

To determine how many marbles Andrei can add if he has exactly 20 liters of water, we set up the equation with the unknown number of marbles (represented by 'x'):

From the equation, we solve for x:

Since Andrei cannot use a fraction of a marble, he'll need to use 82 marbles to fill the tank with 20 liters of water.

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Answer:

[tex]\frac{9}{8}[/tex] feet per hour fast is Kelly's knitting speed

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 4 meter per seconds or 4 miles per hour.

As per the statement:

Kelly is knitting a scarf for her brother. it took her 1/3 hour to knit 3/8 foot of the scarf.

She took /3 hour to knit 3/8 foot of the scarf.

Then by definition of unit rate we have;

[tex]\text{Unit rate per hour} = \frac{\frac{3}{8} }{\frac{1}{3} } =\frac{3}{8} \cdot 3 = \frac{9}{8}[/tex] feet

Therefore, [tex]\frac{9}{8}[/tex] feet per hour fast is Kelly's knitting speed.

Final answer:

The multiplicative inverse or reciprocal of the fraction 5/9 is 9/5, which is the result of flipping the numerator and denominator.

Explanation:

The multiplicative inverse, or reciprocal, of a fraction is another fraction in which the numerator and denominator are flipped. For the fraction 5 over 9, the multiplicative inverse is found simply by reversing the numerator and the denominator, turning it into 9 over 5.

To illustrate this with an example, let's consider the fraction ½. The reciprocal of ½ is 2, as their product equals 1 (1/2 x 2 = 1). Similarly, the reciprocal of 5/9 will be such that (5/9) x (9/5) = 1.

Hence, the reciprocal of 5/9 is 9/5.

To write a number in scientific notation, first, write a decimal point in the number so that there's only one digit to the left of the decimal point.

Next, count the number of places the decimal point would need to move to get back to the original number.

The number of spaces to get back to the original number is the exponent.