Someone please explain to me how I go about to find this answer. My daughter is having trouble and her algebra 1 teacher ia no help!!!!

A. The interest Bianca earned for a period of 3 years is $382.50. The correct option is B. $382.50

B. The number of years Bianca kept the account open is 11 years

From the question, we are to calculate how much interest Bianca will earn for a period of 3 years

From the simple interest formula, we have that

S.I = PRT

Where S.I is the simple interest

P is the principal

R is the rate

and T is the time

From the given information

P = $3,000

R = 4.25% = 0.0425

T = 3

Therefore,

S.I = $3,000 × 0.0425 × 3

S.I = $382.50

B.

From the given information, Bianca receives $4,402.50 when she closes the account

Thus,

The simple interest = $4,402.50 - $3,000

Simple interest = $1402.5

We are to calculate how many years Bianca kept the account open. That is, T

Using the formula,

S.I = PRT

$1402.5 = $3000 × 0.0425 × T

$1402.5 = $127.5 × T

T = $1402.5/$127.5

T = 11

Hence, the time is 11 years

Learn more on Calculating simple interest here: https://brainly.com/question/20690803

#SPJ1

A graph of quadrilateral DEFG with points D (−4, 4), E (1, −4), F (9, 1), and G (4, 9) is shown on the coordinate plane in the image below.

In Mathematics and Geometry, a quadrilateral can be defined as a type of polygon that has four (4) sides, four (4) vertices, four (4) edges and four (4) angles.

In this scenario, we would use an online graphing tool to plot quadrilateral DEFG based on the given coordinates or its points D (−4, 4), E (1, −4), F (9, 1), and G (4, 9).

Based on the graph of quadrilateral DEFG with points D (−4, 4), E (1, −4), F (9, 1), and G (4, 9), this quadrilateral is composed of two pairs of opposite sides that are parallel and as such, we can logically deduce that it most likely represents a square.

Read more on quadrilateral here: brainly.com/question/6561516

#SPJ1

The factoring is the representation of a polynomial in multiplication term thus the factoring of (1/3)b - 1/3 will be 1/3(b - 1).

An algebraic factor is the multiplication of two algebraic terms.

That term could be in form of summation multiplication or in subtraction.

The root of the quadratic equation formed by the algebraic factor is always real.

As per the given polygon,(1/3)b - 1/3

Take 1/3 as common in the whole polygon,

1/3(b - 1).

Since the terms 1/3 and (b - 1) both are in the multiplication of each other.

Hence "The factoring is the representation of a polynomial in multiplication term thus the factoring of (1/3)b - 1/3 will be 1/3(b - 1)".

For more about the algebraic factor,

brainly.com/question/19426180

#SPJ1

Answer:

that would be 4,333,237,984

Step-by-step explanation:

Answer:

4333237984

Step-by-step explanation:

184739*23456

Answer:

yes

Step-by-step explanation:

Answer:

the inequality is true.

-13<-5

The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

Read more about Joint cost

brainly.com/question/31392604

#SPJ1

The Z-score for a score of 93.5 is 6.14. It is expected essentially 0% of students in our class score above 93.5. Approximately 100% of students in our class would be expected to score below 93.5.

To find the Z-score for a score of 93.5, we can use the formula:

Z = (X - μ) / σ

Where X is the raw score (93.5), μ is the mean (80), and σ is the standard deviation (2.2).

Z = (93.5 - 80) / 2.2

Z = 6.14

So the Z-score for a score of 93.5 is 6.14.

To find the percentage of students who would be expected to score above 93.5, we can use a Z-table or calculator to look up the area to the right of a Z-score of 6.14. This represents the proportion of the distribution that falls above the score of 93.5.

Using a Z-table, we find that the area to the right of a Z-score of 6.14 is essentially 0 (it is actually 0.000000048, but we can round it to 0 for practical purposes).

Therefore, based on the statistical prediction, we would expect essentially 0% of students in our class to score above 93.5.

The percentage of students would have been expected to score below 93.5.

To find the percentage of students who would be expected to score below 93.5, we can use the complement rule. The complement of the area to the right of 6.14 is the area to the left of 6.14, which represents the proportion of the distribution that falls below the score of 93.5.

The complement of 0 is 1, so we can say that approximately 100% of students in our class would be expected to score below 93.5.

To know more about Z-score follow

https://brainly.com/question/25638875

#SPJ1

Answer:

D

Step-by-step explanation:

Its D because when you rotate 360 degrees you end up back where you were

Answer:

here's the answer to your question

The volume of the box is a function of x, given by:\(V(x) = 4x^3 - 32x^2 + 64x\)

What is volume ?

Volume is a physical quantity that measures the amount of three-dimensional space that a substance or object occupies. It is usually measured in cubic units, such as cubic meters, cubic centimeters, cubic feet, or cubic inches.

To construct the box, we start with a square piece of cardboard that is 8 inches by 8 inches. We will cut out squares from each corner with side length x inches. This will leave us with a rectangular piece of cardboard with dimensions 8-2x by 8-2x, and we can fold up the sides to form the open box.

The height of the box will be x inches, and the length and width of the base of the box will be 8-2x inches. Therefore, the volume of the box will be:

Volume = Length x Width x Height

Volume = (8-2x) x (8-2x) x x

\(Volume = x(64-32x+4x^2)\)

Therefore, the volume of the box is a function of x, given by: \(V(x) = 4x^3 - 32x^2 + 64x\)

To learn more about Volume from given link.

https://brainly.com/question/1578538

#SPJ1

The computation of the equation illustrates that the number will be 46.4.

Let the number be represented as x.

Therefore, the the difference of 3 / 4 and 1 / 6 of a number is 7 will be computed as follows:

(1/6 × x) - 3/4 = 7

0.167x = 7 + 3/4

0.167x = 7.75

x = 7.75/0.167

x = 46.4

Therefore, the number is 46.4.

Learn more about equations on:

https://brainly.com/question/2972832

Answer:

Step-by-step explanation:

Alternate interior angles:-

Pairs - <2 and <8 ; <3 and <5

Alternate exterior angles:-

Pairs - <1 and <7 ; <4 and <6

Step-by-step explanation:

If journal prices increased by 15% each year, after 15 years the total price increase would be calculated as follows:

(1 + 0.15)^15 = 2.25

So the total price increase over 15 years would be 225%. This matches the increase reported in the library's report, which concluded that the price increase was 15% per year

Answer:Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

To find the slope(m), use the slope formula:

     And substitute/plug in the two points

(5, 9) = (x₁, y₁)

(9, 5) = (x₂, y₂)

m = -1        Now that you know the slope, plug it into the equation

y = mx + b

y = -1x + b   or   y = -x + b    To find b, plug in either one of the points into the equation, it doesn't matter which you use. I will use (5, 9)

9 = -(5) + b        Add 5 on both sides to get "b" by itself

9 + 5 = -5 + 5 + b

14 = b

y = -x + 14

Step-by-step explanation:

HOPE THIS HELPS!!!

Answer:

(a) in slope-intercept form

Step-by-step explanation:

Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5.

Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

Answer:

Option A: 3 and 1/2

Step-by-step explanation:

10/3 = 3 and 1/3

11/3 = 3 and 2/3

3 and 1/2 is in between both.

Answer:

A) \(3\frac12\)

Step-by-step explanation:

\(\dfrac{10}{3}=3\frac13=3\frac26\)

\(\dfrac{11}{3}=3\frac23=3\frac46\)

\(3\frac12=3\frac36\)

so \(3\frac12\) is between \(\dfrac{10}{3}\) and \(\dfrac{11}{3}\)

Answer:

(i)

\( x \alpha y {3} \\ \frac{x}{y {3} } = k\)

(ii)

\( \frac{x}{y {3}^{} } = \frac{x}{y {3}^{} } \\ \frac{32}{ {2}^{3} } = \frac{x}{6 {}^{3} } \\ \frac{32}{8} = \frac{x}{216} \\ x = 864\)

(iii)

\( \frac{32}{8} = \frac{108}{y {}^{3} } \\ {y}^{3 } = 27 \\ y = \sqrt[3]{27 } \\ y = 3\)

Answer:

1.66

Step-by-step explanation:

Calculation to find the standard deviation for the random variable X of the number of students who work full time in samples of size

Using this formula

Standard deviation(X)=√np(1−p)

Where,

n represent the number of students=16

p represent the percentage of all students who work full time=22

Let plug in the formula

Standard deviation(X)=√16(0.22)(1−0.22)

Standard deviation(X)=√(3.52)(0.78)

Standard deviation(X)=√2.7456

Standard deviation(X)=1.656

Standard deviation(X)=1.66 (Approximately)

Therefore the standard deviation for the number of students who work full time in samples of size 16 will be 1.66

Answer:

Answer is...D)

Step-by-step explanation:

If you have the area just divide it by 4 and that will give you the answer .

A square has all equal sides

Hope This Helps<3

The side of the length will be x = √m square inches.

The area of the square and rectangle is -

Square = [x]²           {x is the side of a square]

Rectangle = L x B    {L is the length and B is breadth}

Given is Lisa who is decorating outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is [m] square inches.

It is given that the the area of the square is [m] square inches.

Assume that the length of the side is [x] inches.

x² = m

x = ±√m

Side cannot be negative. Therefore, the side of the length will be -

x = √m

Therefore, the side of the length will be x = √m square inches.

To solve more questions on area and perimeter, visit the link below-

https://brainly.com/question/15393483

#SPJ2

The value of x when the Richter scale rating is 7.9 is approximately 79432.82

To find the value of x when the Richter scale rating is 7.9, we can follow the steps provided:

Substitute known values into the equation.

R = log(x)

R = 7.9

Raise each side of the equation as the power of the base of the log.

\(10^R = 10^(^l^o^g^(^x^)^)\)

Simplify using the property.

\(10^R = x\)

Now we can substitute the value of R (7.9) into the equation:

\(10^(^7^.^9^) = 79432.82\)

Therefore, the value of x when the Richter scale rating is 7.9 is approximately 79432.82 (rounded to the nearest hundredth

Read more on richter scale here:https://brainly.com/question/24037139

#SPJ1

Answer:

I need to know what the radius or diameter is to answer this question

Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

Answer:

8

Step-by-step explanation:

its simple math matebfnfjf

Answer:

:)

Step-by-step explanation:

ih

Solving for y

y=5/2 + 3x/2

Solving for x

x=-5/3 + 2y/3

Answer: 144

Step-by-step explanation:

60/100 times x/240

Cross multiply!!!

I hope this helps, have a nice day!!

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

Learn more about graphs here:

https://brainly.com/question/17267403

#SPJ1

Answer: 25

Step-by-step explanation: 1/6 of 30 is 5, so 30 minus 5 equals 25.

Answer:

\(\huge\boxed{5}\)

Step-by-step explanation:

Luis has 30 problems and after one hour, \(\frac{1}{6}\) of those problems are left. This means that the total number of problems left will be \(30 \cdot \frac{1}{6}\).

Multiplying by a fraction is the same as dividing by a whole. The denominator of \(\frac{1}{6}\) is 6, so we can divide 30 by 6.

\(30 \div 6 = 5\)

Hope this helped!

The p value is calculated as 0.116

Null u = 70

alternate u ≠ 70

The alternate is a two tailed test

the test statistic calculation

t = x - u / s/√n

x = 85 + 77 + 82 + 68 + 72 + 69 / 6

= 75.5

standard deviation s = \(\sqrt{\frac{(85- 75.5)^2+(77- 75.5)^2+...(69- 75.5)^2}{6-1} }\)

= 7.01

Test stat = (75.5 - 70) / 7.01/√6

= 1.92

degree of freedom = 6 - 1 = 5

this is 2 tailed

p value using excel = tdist( 1.8, 5 , 2)

= 0.116

We fail to reject the null hypothesis because it is greater than the level of significance

Read more on p value here:https://brainly.com/question/4621112

#SPJ1

Answer:

600 ml

Step-by-step explanation:

One of the rules of ratio includes sorting ratio in order according to the question. In this case, squash is mentioned first, then water. Hence, the ratio is:

squash:water = 1:6

Use cross multiplication:

1       :       6

100  :        ?

Multiply 100 by 6 then divide it by 1: which basically means 100 * 6 = 600 ml.

If you are unfamiliar with cross multiplication, then simply find out how many times did you have to multiply the 1 in the squash ratio to result to 100, which is 100, then multiply 6 by that answer = 6 * 100.

Hope you understood :)