Grandma says Baby Bertha (BB) should get $1,000 at birth plus $50 per year. But Grandpa disagrees; he thinks that BB should get $1,000 at birth plus an additional 4% of the accumulated amount each year. Grandma and Grandpa will continue to contribute additional funds to the account as long as BB doesn’t take a withdrawal. Which option should BB’s parents select? Why?

Answer: 49/4

Step-by-step explanation:

3 + 1/2 = (3x2 + 1)/2 = 7/2

(7/2)² = 7²/2² = 49/4

Answer:

The equation that represents the volume of a cone with the same base and height as the cylinder is [tex]\frac{1}{3}\pi t^2k[/tex]

Step-by-step explanation:

Given:

The height of the cylinder = k

The  Radius of the cylinder = t

To Find:

Equation representing the volume the cone = ?

Solution:

We know that the volume of the cone is

=> [tex]\frac{1}{3}\pi r^2 h[/tex]

where

r is the radius of the  cone

h is the height of the cone

Here the radius of the cone  =  radius of the cylinder = t

and height of the cone   = height oft the cylinder = k

then

the volume of the cone  will be

=>[tex]\frac{1}{3}\pi t^2k[/tex]

Answer:

its b

Step-by-step explanation:

i took the test

Answer:

The answer is 20 doses

Division property of equality is used

Solution:

Given that,

If 3x = 27 then x = 9

We have to find the algebraic property used here

Division property is used here

The division property of equality is a property that tells us if we divide one side of an equation by a number, we must also divide the other side by the same number so that our equation stays the same.

Given equation is:

3x = 27

Divide both the sides by 3

[tex]\frac{3x}{3} = \frac{27}{3}\\\\x = 9[/tex]

Thus division property of equality is used

The algebraic property used in changing 3x = 27, to x = 9 is the Division Property of Equality. This property means that if both sides of an equal equation are divided by the same nonzero number, then the resulting equation remains true.

The algebraic property that applies when rearranging the equation 3x = 27, to x = 9 is known as the Division Property of Equality. This property states that when both sides of an equation are divided by the same nonzero number, the result is an equivalent equation.

To demonstrate this, in the given equation 3x = 27 we can apply the Division Property of Equality by dividing both sides of the equation by 3. This will give: 3x/3 = 27/3 which simplifies to x = 9, thus demonstrating the division property of equality.

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Answer:

b < –2 or b > 2

Step-by-step explanation:

The given expresion is

[tex] |b| \: > \: 2[/tex]

By the definition of absolute value function.

|x|=x, if x>0

|x|=-x, if x<0

This implies that:

[tex] b \: > \: 2 \: or \: - b \: > \: 2[/tex]

Divide the second inequality by -2 and reverse the sign

[tex]b \: > \: 2 \: or \: b \: < \: - 2[/tex]

Option B is correct

The expression |b| > 2 is equivalent to b < -2 or b > 2, indicating that the value of b is either greater than 2 or less than -2.

The expression |b| > 2 is equivalent to the situation where b is greater than 2 or less than -2. The absolute value sign indicates the distance of b from 0 on a number line, without considering direction. Therefore, if |b| is greater than 2, b must lie outside the interval from -2 to 2, since anything within that interval would have an absolute value less than or equal to 2.

This means that the correct expression equivalent to |b| > 2 is b < -2 or b > 2. When b is positive, it must be greater than 2 to satisfy the inequality. When b is negative, to have an absolute value greater than 2, it must be less than -2.

Answer:

The 60th customer will get both a free coke and a free popcorn.

Step-by-step explanation:

i) every 10 customer gets a free coke

ii) every 12 customer gets a free popcorn

iii) therefore the first customer who will get both a free coke and a free popcorn will be given by the Lowest Common Multiple of 10 and 12 which is 60, as 10 goes in to 60 by 6 times and 12 goes into 60 by 5 times.

Answer:

The 60th customer will get both a free coke and a free popcorn.

Step-by-step explanation:

The interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

To solve the given problem, it is necessary to know about the polygon. A polygon is a closed curve that consist a set of line segments connected together, such that there is a no intersection between the segments.

For example: -

The formula for the interior angle of a regular polygon is given by,

[tex]= \dfrac{ (n-2) \times 180}{n}[/tex]

Here, n is the number of sides.

Then the calculation is given as,

For triangle ( n = 3 sides ),

[tex]= \dfrac{ (n-2) \times 180}{n}\\\\= \dfrac{ (3-2) \times 180}{3}\\\\=60 \;\rm degrees[/tex]

For square ( n = 4 sides ),

[tex]= \dfrac{ (n-2) \times 180}{n}\\\\= \dfrac{ (4-2) \times 180}{4}\\\\=90 \;\rm degrees[/tex]

For pentagon ( n = 5 sides ),

[tex]= \dfrac{ (n-2) \times 180}{n}\\\\= \dfrac{ (5-2) \times 180}{5}\\\\=108 \;\rm degrees[/tex]

Thus, we can conclude that the interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

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The interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

We have to determine, The measure of one interior angle in each regular polygon.

A polygon is a closed curve that consist a set of line segments connected together, such that there is a no intersection between the segments.

A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.

The formula for the interior angle of a regular polygon is given by,

[tex]= \frac{(n-2)\times180}{n}[/tex]

Where, n is number of sides.

The triangle is a polygon that  has 3 interior angles.

The square is a polygon that has 4 interior angles.

The pentagon is a polygon that has 5 interior angles.

For triangle ( n = 3 sides ),

[tex]= \frac{(3-2)\times 180}{3} \\\\= \frac{180}{3} \\\\= 60degree[/tex]

For square ( n = 4 sides ),

[tex]= \frac{(4-2)\times 180}{4} \\\\= \frac{360}{4} \\\\= 90degree[/tex]

For pentagon ( n = 5 sides ),

[tex]= \frac{(5-2)\times 180}{5} \\\\= \frac{540}{5} \\\\= 108degree[/tex]

Hence, The interior angles of each regular polygon are 60 degree, 90 degree and 108 degree respectively.

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Answer:

16x^5

Step-by-step explanation:

use photomath it will help u with math problems if u need it.

Answer:

21.819 is the difference

The answer is 21.819

✍️(◔◡◔) hope this helps

Answer:

check the photo below for the answer.

Sigma notation is used to represent series of numbers. To find the sum of the first six terms of the sequence 4, 12, 20, ..., you can use the formula Σ(4 + 8(n - 1)).

Sigma notation is a way to represent a series of numbers. In this specific case, we want to find the sum of the first six terms of the sequence 4, 12, 20, ... The sum can be represented as Σ(4 + 8(n - 1)), where n goes from 1 to 6.

Answer:

3/10, 2/5, 1/3, 2/4

Step-by-step explanation:

the greater the denominator the lower the portion will be depending on the numerator

Answer:

see below

Step-by-step explanation:

y=kx

15=1.50(10)

1.50 is the cost of every coffe

10 is the amount of coffes u can get with the 15 dollars

15 is the total money u have

(hopes this helps)

Answer:

y= -1.5x+15

Step-by-step explanation:

y=mx+b

This is the formula to find the equation. M is the slope (rise over run), and b is the y-intercept. Hope this helps.

Answer:

5(7xy + 5x)

Step-by-step explanation:

35xy+25x

divide both sides by 5

we have 5(7xy+5x)

Answer:5x(7y+5)

Step-by-step explanation:

This was the correct answer on my test

Answer: Square.

Step-by-step explanation:

First it is important to know the following definitions:

1. A Quadrilateral is defined as a polygon that has four sides and, therefore, four vertices.

2. A Square is a Regular Quadrilateral that has the following properties:

- All its sides have equal length.

- Its opposite sides are parallel.

- The measure of each Internal angle is 90 degrees (which are also called "Right angles").

According to the information given in the exercise, the poster Cecily made has the shape of a Quadrilateral. All the angles of this quadrilateral are congruent (this means that they have equal measure) and all the sides are also congruent (they have the same length).

Therefore, based on the explained before, you can conclude that it is a Square.

The correct answer is (C) $48. Hence the correct option is c.

1. Identify the relevant information:

From the table, we know Alfred earns $8 per time he weeds the garden.

He weeded the garden 6 times.

2. Calculate his total earnings from weeding:

To find the total amount Alfred earned, we multiply the amount he earns per weeding session by the number of times he weeded:

Total earnings = Number of times weeded * Earnings per weeding

Total earnings = 6 times * $8/time = $48

Therefore, Alfred earned $48 from weeding the garden.

Hence the correct option is c.

Complete question:

Alfred does chores to earn money in the summer. The table shows the amount he earns per chore.

Chore Amount Earned ($)

mow lawn $10

wash car         $5

weed garden  $8

Suppose Alfred weeded the garden 6 times in the summer. How much did he earn weeding?

(A) $30

(B) $60

(C ) $48

(D) $75

The answer is option B - $48. Alfred earned $48 from weeding the garden 6 times, as each weeding earned him $8 and $8 multiplied by 6 gives $48.

The question involves a basic arithmetic calculation to determine how much money Alfred earned for weeding the garden multiple times. We need to multiply the amount Alfred earns per instance of weeding by the number of times he performed the task.

Given that Alfred earns $8 for weeding the garden once and he weeded the garden 6 times over the summer, the total earning from weeding can be calculated as:

Amount Earned Weeding = Earned per Weeding × Number of Weedings

Amount Earned Weeding = $8 × 6 = $48

Therefore, Alfred earned $48 from weeding the garden 6 times in the summer.

The question is:

Alfred does chores to earn money in the summer. The table shows the amount he earns per chore.

Chore Amount Earned ($)

mow lawn $10

wash car $5

weed garden $8

Suppose Alfred weeded the garden 6 times in the summer. How much did he earn weeding?

(A) $30

(B) $60

(C) $48

(D) $75

Answer:

26

Step-by-step explanation:

Range = highest number minus lowest number.

99-73=26.

Answer:

26

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 99−73=26.

Answer:

The output values of a relation are called the Range of the relation

Step-by-step explanation:

we know that

For a set of ordered pairs, the first elements of each ordered pair is called the input value or independent variable and represents the domain of the function and second elements of each ordered pair is called the output value or dependent variable and represents the range of the function.

therefore

The output values of a relation are called the Range of the relation

1.  15t + 8t - 2t = 16

  t = 0.76

2.  24m + 24m = 96

   m = 2

3.  26 = 12n + 2n

   n = 1.86

4.  20a - 3a = 34

   a = 2

5.  170x + 4 = 64

   x = 0.35

6.  15x - 25 = 200

   x = 15

7.  5s + 3s = 42

   s = 5.25

8.  10t + 2t = 28

   t = 2.333333

9.  14s + 35s - 7s = 42

   s = 1

10.  124s - 14s + 12s = 12

   s = 0.1

Hope this helps, sorry I couldn't get to all of it.   :)

The length of swimming course is 345.93 meters.

Step-by-step explanation:

Given,

BC = 80 m

AB = 145 m

Using pythagoras theorem to find AC.

[tex]AC^2+BC^2=AB^2\\AC^2+(80)^2=(145)^2\\AC^2+6400=21025\\AC^2=21025-6400\\AC^2=14625[/tex]

Taking square root on both sides

[tex]\sqrt{AC^2}=\sqrt{14625}\\AC=120.93m[/tex]

Length of swimming course = AB + BC + AC

Length of swimming course = 145 + 80 + 120.93 = 345.93 m

The length of swimming course is 345.93 meters.

Keywords: square root, addition

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Answer:

y-coordinate

Step-by-step explanation:

Answer:

y coordinate

Step-by-step explanation:

Answer: OPTION C.

Step-by-step explanation:

In order to solve the given exercise, you can follow these steps:

1. Given the following function f(x):

[tex]f(x)=\frac{x-2}{3}[/tex]

You must substitute [tex]x=2[/tex] into the function f(x). Then:

[tex]f(2)=\frac{(2)-2}{3}[/tex]

2. Evaluating, you get:

[tex]f(2)=\frac{0}{3}\\\\f(2)=0[/tex]

3. Now, the next step is to substitute [tex]f(2)[/tex]  into the function g(x):

[tex]g (x) = 3x+2\\\\g (f(2)) = 3(0)+2[/tex]

4. Finally, evaluating, you get the following result:

[tex]g (f(2)) = 0+2\\\\g (f(2)) =2[/tex]

You can identify that it matches with the Option C.

To find the value of g(f(2)), we first calculate f(2) which equals 0, then we substitute that into g(x) to get g(0) which equals 2. Therefore, g(f(2)) is 2.

The question asks for the value of g(f(2)) given two functions g(x) = 3x + 2 and f(x) = (x - 2) / 3. To find the value, we first evaluate f(2), and then plug that result into g(x).

The answer to the given function composition g(f(2)) is 2, which corresponds to option C.

It takes 6 days for both of them to have same number of followers

Solution:

Let "x" be the number of days

Celebrity A has 400 followers on social media and is gaining 75 followers each day

We can frame a equation as:

Celebrity A : 400 + 75(number of days)

Celebrity A : 400 + 75x --------- eqn 1

Celebrity B has 1,000 followers on social media, but is losing 25 followers a day

We can frame a equation as:

Celebrity B : 1000 - 25(number of days)

Here we use negative sign to denote losing of followers

Celebrity B : 1000 - 25x --------- eqn 2

For both of them to have same number of followers, eqn 1 must be equal to eqn 2

[tex]400 + 75x = 1000 - 25x\\\\\text{Solve the above equation for x}\\\\75x + 25x = 1000 - 400\\\\\text{Combine the like terms }\\\\100x = 600\\\\x = 6[/tex]

Thus it takes 6 days for both of them to have same number of followers

Answer:

y = 5x - 17

Step-by-step explanation:

y = mx + c

m = the gradient/slope = 5

y = 5x + c

Substitute (3, -2) into the equation above to find c.

-2 = 5(3) + c

-2 = 15 + c

-2 - 15 = c

-17 = c

y = 5x - 17

Answer:

Step-by-step explanation:

point(3, -2) and has a slope of 5

Slope m = 5

y1 = -2 and x1 = 3

The equation is

y - y1 = m(x - x1)

y + 2 = 5(x - 3)

y + 2 = 5x - 15

y = 5x - 15 - 2

y = 5x - 17

Answer: period=4

Step-by-step explanation: a=1,b=π/2, c=0

to calculate the period of the function,we use 2π/b

therefore,period=2π/π/2

2π×2/π=4.

Answer:

Option C) There is exactly one solution to this equation, and the solution is 0 is correct

That is the solution x=0

Step-by-step explanation:

Given equation is -4(x+2)+x=3x-8-5x

To find the solution to the given equation :

First to solve the given equation

-4(x+2)+x=3x-8-5x

-4x-8+x=3x-8-5x ( by using the distributive property )

-3x-8=-2x-8 ( adding the like terms )

-3x-8-(-2x-8)=-2x-8-(-2x-8)

-3x-8+2x+8=-2x-8+2x+8  ( adding the like terms )

-x=0

Therefore x=0 is the only solution to the given equation

Option C) There is exactly one solution to this equation, and the solution is 0 is correct

That is the solution x=0

After simplifying and solving the given equation, it is clear that the single solution is x = 0, which corresponds to option C.

To identify the correct statement describing the solution to the given equation, we need to solve the equation step by step:

-4[x+2]+x = 3x - 8 - 5x.

First, distribute the -4 across the terms inside the brackets:

-4x - 8 + x = 3x - 8 - 5x.

Combine like terms:

-3x - 8 = -2x - 8.

Then add 3x to both sides:

-8 = x - 8.

Finally, add 8 to both sides to solve for x:

x = 0.

The equation simplifies to x = 0, which means there is a single solution to this equation. Therefore, the correct option is: C. There is exactly one solution to this equation, and the solution is 0.

Answer:

90 + 99 + 108

Step-by-step explanation:

The 3 number being added should be multiplied by 9.

10 x 9 = 90.

11 x 9 = 99.

12 x 9 = 108.

Therefore, 90 + 99 + 108.

Answer: 9*10 + 9*11 + 9*12

Step-by-step explanation:

The distributive property of multiplication states that when a number is multiplied by the sum of several numbers, the first number can be distributed to all of those numbers and multiplied by each of them separately.

9(10 + 11 + 12) = 9*10 + 9*11 + 9*12

Final answer:

To determine the cost of each bottle in a $3.48 six pack of soda, divide the total cost by the number of bottles, which results in each bottle costing $0.58.

Explanation:

To find out how much each bottle of soda costs when a six pack of soda costs $3.48, we need to divide the total cost by the number of bottles in a pack. Since there are six bottles in a six pack, we take the total cost of $3.48 and divide it by 6.

The calculation will look like this:

Cost per bottle = Total cost of six pack ÷ Number of bottles

Cost per bottle = $3.48 ÷ 6

Cost per bottle = $0.58

Therefore, each bottle of soda costs $0.58.

Answer:

C 14,400

Step-by-step explanation:

If a bird is chirping 10 times a min, and there are 60 min in a day you would multiply those numbers. 10×60=600.

There are 24 hours in a day so multiply 600 with that and you have ur answer. 24×600=14400. Also sorry this is probably old.

A bird chirps 14,400 times in a day.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A bird chirps 10 times a minute.

Now,

Since, A bird chirps 10 times a minute.

We know that;

1 day = 24 hours

        = 24 × 60 minutes

        = 1,440 minutes

Hence, We get;

A bird chirps in a day = 10 × 1,440

                                 = 14,400 times

Thus, A bird chirps 14,400 times in a day.

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