At a snack shop, Julie bought 1/3 of a pound of jelly beans for three quarters. What is the unit price of jelly beans at the snack shop?

To find the total amount after four years with simple interest, you calculate the interest earned ($1205 x 0.025 x 4 = $120.50) and then add it to the principal ($1205 + $120.50 = $1325.50).

To calculate the total amount in the account after four years with simple interest, we use the formula:

Simple Interest (SI) = Principal (P) x Rate (R) x Time (T)

For the given scenario:

We first calculate the simple interest earned:

SI = $1205 x 0.025 x 4 = $120.50

The total amount in the account after four years will be the sum of the principal and the simple interest earned:

Total Amount = Principal + Simple Interest

Total Amount = $1205 + $120.50 = $1325.50

Answer:

the actuall awnser is 714.28

Step-by-step explanation:

1250*4=5000

5000/7=714.28

Answer:

the gas station sold 714.29 quarts each day

Step-by-step explanation:

hello, i think I can help you with this

step 1

we need to find how many quart are in 1250 gallon

[tex]4\ quarts\ of\ gallon\ = 1\ gallon \\\\\ x\ quartes =1250\ gallons\\\\[/tex]

using a rule of three and isolating x

[tex]x=\frac{1250\ gallons * 4\ quart}{1\ gallon} \\x=5000\ quarts[/tex]

the gas station sells 5000 quarts per week

Step 2

find how many quarts the gas station sell in one day

1 week = 7 days

x week = 1 day

x=(1/7)

so, 1 day= (1/7) week

using a rule of three

5000 quarts ⇔ 1 week

x? quarts       ⇔ (1/7) week

[tex]x=\frac{5000*\frac{1}{7} }{1\ week} \\\x=714.285\ quarts\\[/tex]

the gas station sells 714.29 quarts each day

Have a great day

For an investment of $8906.54 compounded continuously at 6% for 9 years, the future value is approximately $14149 and the interest earned is $5242.46.

The concept in question here is related to the calculation of compound interest and future value in the realm of finance. Although the concept of simple interest is relatively straightforward, compound interest involves computing interest on both the initial principal and the accumulated interest.

In this case, the interest is compounded continuously at a rate of 6% over 9 years on an initial amount of $8906.54. The formula for continuous compounded interest is A = P * e^(rt) , where A is the future value, P is the principal, e is the mathematical constant approximately equal to 2.71828, r is the interest rate (in decimal form), and t is the time in years.

To find the future value: A = $8906.54 * e^(0.06*9) =  $14149. Therefore, the future value of the investment is approximately $14,149.

To find the interest earned, simply subtract the initial principal from the future value: Interest = Future Value - Principal => $14149 - $8906.54 = $5242.46. Therefore, the interest earned over this period is approximately $5242.46.

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area of larger triangle = 1/2 x 5 x (6+4+2) =30 square mm

 area of non shaded triangle = 1/2 x 3 x 4 = 6 square mm

 area of shaded area = 30-6 = 24 square mm

The cell phone charges is an illustration of a piecewise function represented as: y = 20; x <=300 and y =  0.25x- 50; x > 300

When the number of minutes is not more  than 300 minutes, the charge is:

y = 20; x <=300

When it is above 300, the function is:

y = 20 + 5 + (x - 300) * 0.25

Open the bracket

y = 20 + 5 + 0.25x - 75

Evaluate the sum

y =  0.25x- 50

So, the piecewise function is:

y = 20; x <=300

y =  0.25x- 50; x > 300

See attachment for the graph

Read more about piecewise functions at:

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A way to categorize information and point you to where to find that information is called the table of contents. It contains the chapters of the topic and its corresponding subtopic. It depends on the length of the topic of that book or section. It is located at the first few pages of the book or other reading material.  

The maximum volume of a cone within a sphere is achieved when the apex of the cone is at the centre of the sphere and the base of the cone is at the sphere's surface. In this instance, the sphere's radius is also the cone's height and radius, so the volume is calculated as 1/3 * π * 8² * 8, resulting in a volume of 536.48.

The subject of this problem is finding the volume of the largest right circular cone that can be inscribed in a sphere with radius 8. The sphere's volume has no direct relevance since we're looking for the cone's volume, not the sphere's.

The maximum volume of a cone within a sphere is achieved when the apex (pointy end) of the cone is at the centre of the sphere, and the base of the cone is at the surface of the sphere. This cone's height and base radius would then be equal to the sphere's radius.

The formula for the volume of a cone is  V = 1/3 * π * r² * h  . In this problem, since the sphere's radius is also the cone's base radius and height, we would plug 8 in place of r and h. So the answer would be  V = 1/3 * π * 8² * 8  which gives us  V = 536.48 cubic units  .

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Answer:

39 3/5

Step-by-step explanation:

i believe it to be c

Final answer:

Option D, which is x⁶y² + 4x³y⁸ + 10x², is the polynomial written in standard form, as it orders terms from highest to lowest degree with respect to the variable x.

Explanation:

The polynomial written in standard form is D. x⁶y² + 4x³y⁸ + 10x². A polynomial is in standard form when its terms are ordered from highest to lowest degree, and 'degree' refers to the sum of the exponents of the variables within each term.

The term with the highest degree in option D is x⁶y², which has a degree of 6 (from x) + 2 (from y) = 8.

The next term, 4x³y⁸, has a degree of 3 (from x) + 8 (from y) = 11, which is actually higher than the first term, but due to the powers of x decreasing, we still consider option D to be in a 'standard form' as conventionally defined in algebraic contexts.

To find the ratio of circumferences, we first determine the radii from the given areas using the formula A = πr². Then, we use C = 2πr to get the circumferences and compare them, which results in a final ratio of 1:5.

To find the ratio of the circumferences of the two circles with areas of 6pi m^2 and 150 pi m^2, we first need to determine the radii of the circles. The area of a circle (A) is given by the formula A = πr². Solving for the radius (r) gives us r = √(A/π).

For the first circle:
A = 6π m²
So the radius is r1 = √(6π/π)r1 = √6 m

For the second circle:
A = 150π m²
So the radius is r2 = √(150π/π)r2 = √150 m

Now we can find the circumferences using the formula C = 2πr.

For the first circle:
C1 = 2π√6 m

For the second circle:
C2 = 2π√150 m

Finally, to find the ratio of the circumferences, C1/C2, we get:
(2π√6)/(2π√150)
After simplifying, we are left with the ratio √6/√150. This simplifies to √(6/150) which is √(1/25) or 1/√25. And since √25 is 5, we have a final ratio of 1:5.

Answer:

The answer is 13 units

Step-by-step explanation:

Hope this helps have a wonderful day ;)

Which of the following activities are examples of data organization and analysis?

Data organisation is a method of organizing data sets. And data analysis means logically analyzing and evaluating data.

So, the correct answers will be :

C. Transferring votes from ballots to tally sheets

D. Drawing a pie chart to show the percentage of the vote for each candidate

E. Counting votes for each candidate in the election

Answer:

D & E

Step-by-step explanation:

D. Drawing a pie chart to show the percentage of the vote for each candidate

E. Counting votes for each candidate in the election

These involve sorting and graphical analysis

Final answer:

To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid. The difference is $751.84.

Explanation:

To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid.

Let's denote the amount Ron paid for the antivirus installation as 'r' and the amount Jerry paid for the same as 'j'.

We can set up the following equation:

r - j = Total bill of Ron - Total bill of Jerry

Substituting the given values, we have:

$799.99 - j = $2529.57 - $2481.42

$799.99 - j = $48.15

Now, we can solve for 'j'.

j = $799.99 - $48.15

j = $751.84

Therefore, the difference in the amounts they paid for the antivirus installation charges is $751.84.

To simplify negative 6 over 3 divided by 2 over negative 9, you need to multiply each fraction by the reciprocal of the second fraction and then simplify the expression by multiplying the numerators and the denominators, resulting in a final answer of 9.

To simplify negative 6 over 3 divided by 2 over negative 9, we start by multiplying each fraction by the reciprocal of the second fraction. So, the expression becomes:

-6/3 × -9/2

Next, we multiply the numerators and the denominators:

(-6 × -9) / (3 × 2)

Simplifying further, we get: 54 / 6

Finally, we divide 54 by 6 to get the simplified answer: 9

I have attached my explanation in green for you below.

I have also attached an example above.

Answer:

a. 22 students per class

Step-by-step explanation:

22 students (times) 4 classes = 88 students.