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4 years ago

5

Mikhail went bowling and spent $26.25. He rented shoes for $7.50 and paid $6.25 for each game. Which equation can be used to det

ermine the number of rounds Mikhail played. ?

1 answer:

Ahat [919]4 years ago

3 0

$7.50 + $6.25x = $26.25 would be a valid equation that can be used to determine the number of rounds he can play.

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BUILD PERSEVERANCE The formula A = P(1 + r) represents the amount of money A in an account after t years, where P is the amount

Veseljchak [2.6K]

The solution for P is P = A / (1 + r)^t, the initial deposit is $1,510, and I agree that A is always greater than P when given the conditions stated.

<h3>How do we calculate the initial deposit?</h3>

The correct formula in the question is provided as follows:

A = P(1 + r)^t ........................ (1)

a. P can be solved for and the amount of Patricia's initial deposit can be found from equation (1) as follows:

P = A / (1 + r)^t ................................. (2)

Where:

A = $1839.79

r = 2.5% = 0.025

t = 8

Substituting all the relevant values into equation (2), we have:

P = $1839.79 / (1 + 0.025)^8

P = $1,510

b. Yes, I agree.

The reason is that interest at the rate of 2.5% will be earned yearly on P and added to A making A always greater than P.

Learn more about initial deposits here: brainly.com/question/21845455.

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8 0

2 years ago

In the rectangle below, the two quarter circles are congruent. Find the area of the shaded of the shaded region.

Delicious77 [7]

Rectangle:
length = 12
width = 6
area of rectangle = length times width = 12 x 6 = 72

area of circle = pi r^2 = 3.14 (6)^2 = 113.1
1/2 circle = 113.1 / 2 = 56.55

<span>the area of the shaded of the shaded region = 72 - 56.55 = 15.45
</span>
answer
15.45

8 0

3 years ago

Find the equation for the circle with a diameter whose endpoints are (3,-1) and (-2,-1)

cricket20 [7]

Answer:

The equation for the circle is: $(x-\frac{1}{2} )^2 + y^2 = (\frac{5}{2} )^2$

Step-by-step explanation:

Here, let us assume the two end points of the diameter are:

P (3,-1) and Q (-2,-1)

Now, as we knew diameter is the chord that passer through the center of the circle.

⇒ Mid point of DIAMETER = Center coordinates of the Circle

Let us assume O(x,y) is the center of the line segment PQ.

So, by MID POINT FORMULA:

$(x,y)= (\frac{3 -2}{2} , \frac{-1-1}{2} ) =( \frac{1}{2},\frac{-2}{2}) \\\implies (x,y) =( 0.5 , -1)$

⇒ The center coordinates of the circle = O(0.5,-1) ...... (1)

Now, RADIUS = Half of DIAMETER

Using DISTANCE FORMULA:

$PQ = \sqrt{(3-(-2))^2 + (-1 - (-1))^2} = \sqrt{(5)^2 + 0} = 5$

So, Radius = 5/2 = 2.5 units

Now, the equation of circle with radius r and center coordinate ( h,k) is given as: $(x-h)^2 + (y-k)^2 = r^2$

Substitute r = 2.5 and (h,k) = (0.5,0) we get:

$(x-0.5)^2 + (y-0)^2 = (2.5)^2\\\implies (x-\frac{1}{2} )^2 + y^2 = (\frac{5}{2} )^2$

Hence the equation for the circle is: $(x-\frac{1}{2} )^2 + y^2 = (\frac{5}{2} )^2$

5 0

4 years ago

Gina measured the amount of water her friends drink each day in gallons. The line plot shows the measurements.

vova2212 [387]

Line plots are used to represent data using lines and dots

The difference between the greatest amount of water and the least is 1/2

From the line plot (see attachment), we have the following parameters:

$Least = 8\frac 28$

$Greatest = 8\frac 68$

<h3>Calculating the difference</h3>

The difference (d) is then calculated as:

$d =Greatest -Least$

So, we have:

$d =8\frac 68 -8\frac 28$

Subtract the common terms (8)

$d =\frac 68 -\frac 28$

Take LCM

$d =\frac {6-2}8$

$d =\frac {4}8$

Reduce the fraction

$d =\frac {1}2$

Hence, the difference between the greatest amount of water and the least is 1/2

Read more about line plots at:

brainly.com/question/3521995

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2 years ago

Which equation is shown by the information in the table?

Ratling [72]

Well i know its definitly not B if that helps

3 0

3 years ago