The amount of money in a savings account after t years is represented by the function f(t)=500(1.015)t.

What does the value 500 represent in this situation?




The amount of money in the savings account increases by $500 each year.

The amount of money in the savings account is 500 times the amount of the previous year.

The amount of money in the savings account decreases by $500 each year.

The initial amount in the account is $500.

The brand of sand chosen by Alisa is Sand A with a total cost of $10,816, instead of Sand B with a total cost of $11,267.

The total costs are determined using mathematical operations and unit conversions.

Firstly, the volume of the court is calculated, using  V = l x w x h.  The result is converted from cubic feet to pounds at  1 ft³ = 100 lb.

After the conversion, the rest of the calculations carried on the mathematical operations of addition, division, and multiplication.

The length of the volleyball court = 52 feet

The width of the volleyball court = 26 feet

The height of the volleyball court = 1 feet

The volume, V = l x w x h

= 52 x 26 x 1

= 1,352 feet³

1 ft³ = 100 lb

1,352 feet³ = 135,200 lb (1,352 feet³ x 100)

Sand A's Cost = $12 per 150 lb

135,200 lb = $10,816 ($12 x 135,200/150)

Sand B's Cost = $5 per 60 lb

135,200 lb = $11,267 ($5 x 135,200/60)

Thus, Sand A, most likely chosen by Alisa, is more cost-effective than Sand B.

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Alisa hopes to play beach volleyball in the Olympics someday. She has convinced her parents to allow her to set up a beach volleyball court in their backyard. A standard beach volleyball court is approximately 26 feet by 52 feet. She figures that she will need the sand to be one foot deep. She goes to the hardware store to shop for sand and sees the following signs on pallets containing bags of sand.

Sand A = 150Ibs = $12

Sand B = 60lbs = $5

Identify which brand was chosen as part of your answer.

Answer:

15....................................

Answer:

Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm .

Step-by-step explanation:

i hope this helps I wish I could see the the choices are options for answers I could help more if I can see your options

Answer:

radius = 4units

diameter = 8units

Step-by-step explanation:

The radius is the distance from the midpoint of a circle to any point on the side of the circle. In this case, the radius is, 4units. The diameter is twice the radius and is 8 units.

Answer:

He had 20 hats on monday

Step-by-step explanation:

13*2= 26

26-6= 20

Answer: it is irrational

Step-by-step explanation:

Rational numbers are the numbers that can be expressed in the form of a ratio (i.e., P/Q and Q≠0) and irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.

Answer:

b. Normal data is never one of the inference assumptions.

Step-by-step explanation:

A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.

So, there are two propositions in statistical inference for categorical data

1. That each data in a cell is independent of the others.

2. That samples are randomly drawn.

Thus, there is no room for normality.

Answer:

The answer is Undefined (∞).

Step-by-step explanation:

The line y = 1 has a slope of 0, and the line parallel to it, for instance, y = 3, has the same slope, m1 = 0. For the slope of the line perpendicular to that parallel line is m2 = -1/m1, which is -1/0 = ∞

32

Step-by-step explanation:

Answer:

                Easy, the answer is 36

Step-by-step explanation:

 40 divided by 0.90 is 44, and 44 minus 8 is 36

Answer:

x = 8

Step-by-step explanation:

Since both pools are similar, it follows that their side lengths are proportional.

Therefore:

[tex] \frac{BC}{FG} = \frac{AD}{EH} [/tex]

BC = 4

FG = 3

AD = x

EH = 6

Plug in the values

[tex] \frac{4}{3} = \frac{x}{6} [/tex]

Multiply both sides by 6

[tex] \frac{4}{3}*6 = \frac{x}{6}*6 [/tex]

[tex] \frac{24}{3} = x [/tex]

8 = x

x = 8

There were 325 adult tickets sold that day student had 388 tickets

So, total no. of tickets = 713

Let the no. of tickets sold to adults be x

Then the no. of tickets sold to student = x + 63

Now, we have the equation as

⇒ x + x + 63 = 713

⇒ 2x = 713 - 63

⇒ 2x = 650

⇒ x = 650/2

⇒ x = 325 tickets

An equals symbol (=) is fundamental in equations. You can think of an equation as having a left-hand side and a right-hand side as there will be a mathematical expression on either side.

Imagine a set of scales to represent an equation. To solve it, each side must be balanced, even if you place different amounts on the left or right.

There is always an unknown in an algebraic equation. A symbol, such as x, y, or z, is used to symbolize this.

Here's an illustration of an equation:

y + 5 = 10

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Answer:

xfgn  

Step-by-step explanation:

The given equation 1/2 ( 2p + 9 ) = p + 5 has no solution.

Whenever the two lines are parallel, a system of 2 linear equations in two variables has no solution.

As for the given question;

The expression is given as;

1/2 ( 2p + 9 ) = p + 5

Simplifying the equation;

(1/2)×2p + (1/2)×9 = p + 5

p + 9/2 = p + 5

As, the variable 'p is getting cancelled on the both side.

The expression given no solution.

Therefore, the stated linear equation in one variable 1/2 ( 2p + 9 ) = p + 5 does not posses any solution.

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Answer:

3r^2 /2

Step-by-step explanation:

r^3 cancels out r in the denominator remaining with r^2 in the numerator.

so 3r^2/2

= 3r^2 /2

Answer:

solving the expression [tex]\frac{3r^3}{2r}[/tex] we get [tex]\mathbf{\frac{3}{2}r^2}[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]\frac{3r^3}{2r}[/tex]

For solving exponents in the fraction we can use the exponent rule:[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

Applying the above rule and solving:

[tex]\frac{3r^3}{2r}\\=\frac{3}{2}r^{3-1}\\\\=\frac{3}{2}r^2[/tex]

So, solving the expression [tex]\frac{3r^3}{2r}[/tex] we get [tex]\mathbf{\frac{3}{2}r^2}[/tex]

Answer:

5.5

Step-by-step explanation:

29.5-13=16.5 16.5÷3=5.5

Answer:

29

I hope this helps!

Answer:

29

Step-by-step explanation:

Answer:

One Solution: 3

Step-by-step explanation:

5x - 9 = -24 + 10x

Subtract 5x from both sides. -9 = -24 + 5x

Add 24 to both sides. 15 = 5x

Dived 15/5. 3 = x

Answer:

Step-by-step explanation:

Answer:

23 slices

Step-by-step explanation:

1.15 divided by 0.05=23 slices

Answer:

4

Step-by-step explanation:

Always remember the order of operations: PEMDAS.

7 - (3 + 5) + (-3 + 6)/3 x 5

7 - (8) + (3)/3 x 5 (solve the parantheses first)

7 - 8 + 1 x 5 (3/3 comes first since multiplication and division have the same order; you would go left to right)

7 - 8 + 5 (Multiplication has a higher order than addition and subtraction)

4

Answer:

4

Step-by-step explanation:

Use PEMDAS

7 - (3+5) + (-3 + 6) / 3*5 (solve Parenthesis first)

7 - 8 + 3 / 3 * 5 (solve the division next)

7 - 8 + 1 * 5 (solve the multiplication next)

7 - 8 + 5 (subtract next)

-1 + 5 (lastly add)

4

Hope this helps

Answer:

(-4, 10)

Step-by-step explanation:

first with it you follow the rules 2+2=4

(-7)+-(3)=-10

after since it is reflected off of the y axis they opposite each other meaning that negative = positive, positive=negative

4=(-4)

-10= 10

giving you (-4,10)

Answer:

The 5 is in the tenths place.

Step-by-step explanation:

:)

Answer:

131.6

Step-by-step explanation:

Since the 5 in 131.572 is underlined, we need to round the number to the nearest tenth. When rounding numbers, we need to look at the digit next to the rounded digit. The digit after 5 is 7.

If the digit after that is 1-4, we round down the 5. If the digit after that is 5-9, we round up the 5. Since 7 is between 5 and 9, we round the digit 5 to 6.

Thus, the rounded number would be: 131.6

Answer:

-16

Step-by-step explanation:

when u see c+ -4 you would do the opposite so that would be subtraction so basically-4-20 and that is -16 here is an example when it comes to division: d÷2=3 so that would be 3×2= 6 so then u plug it in to check your work and 6÷2=3 hopes this helps

Answer:

c=-16

Step-by-step explanation:

c-4=-20

c=-20+4

c=-16

We need to know about quadratic equation to solve this problem. The other three consecutive odd integers that satisfy the conditions are 11, 13 and 15.

We need to consider three consecutive odd integers, odd integers are integers that are not divisible by 2. Odd and even integers occur alternately so the the difference between two consecutive odd integers is always 2. We will consider one odd integer x, the next odd iinteger will be x+2 and the third odd integer will be x+4. Therefore we have our three consecutive odd integers, x, x+2 and x+4. It is said that the square of the third integer is 65 less than the sum of the squares of the first two. We can write this relation as

[tex](x+4)^{2} +65=x^{2} +(x+2)^{2}[/tex]

We can solve this equation to get a quadratic equation, and then solve it for x

[tex]x^{2} +8x+16+65=x^{2} +x^{2} +4x+4\\x^{2} +4x-8x+4-16-65=0\\x^{2} -4x-77=0[/tex]

We will solve the above quadratic equation for x

[tex]x^{2} -4x-77=0\\x^{2} +7x-11x-77=0\\x(x+7)-11(x+7)=0\\(x+7)(x-11)=0\\[/tex]

Therefore we get two values for x -7 and 11, from the question we already know about -7, we will find the three odd integers from 11 now

So the other three consecutive odd integers that satisfy the given conditions are 11,13 and 15.

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