MATHEMATICS COLLEGE

A customer enrolled in a 1-year product purchase plan that costs $60 per month. After 6 months, the customer received a monthly discount of 20%. What is the total amount the customer will pay for the 1-year plan?

Answers

Answer 1

Answer:

$648 is the total amount the customer will pay for the 1-year plan

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a customer enrolled in a 1-year product purchase plan that costs $60 per month.

After 6 months, the customer received a monthly discount of 20%.

We need to find the total amount the customer will pay for the 1-year plan.

Product Plan = $60 per month

Money he pay for 1 month = $ 60

Money He pay for first 6 month = 6 × 60 = $ 360

after 6 month he receives 20% discount monthly,

So, Now he pay for 1 month = 60 - 20% × 60

=60-20/100×60

=60-12=48

Money he pay for last 6 month = 6 × 48 = 288

Total Money he pay in a year = 360 + 288 = $ 648

Hence, $648 is the total amount the customer will pay for the 1-year plan

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Answer 2

Answer:

Answer:

$432

Step-by-step explanation:

60*6=360

They paid $360 for the first 6 months.

20%*60=.2*60

0.2*60=12

12*6=72

They paid $72 for the last 6 months.

360+72=432

They paid $432

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Help! - Answer = Brainliest!

Thanks!

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Answer:

Step-by-step explanation:

i copied the person above me :)

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A sphere has a diameter of 4(x + 3) centimeters and a surface area of 7847 squarecentimeters. Find the value of x.

Answers

Answer:

Step-by-step explanation:

Suppose that you are examining the difference in ages between brides and grooms. You are interested in conducting a significance test to examine to address the theory that the bride is younger than the groom in more than half of all marriages. A sample of 100 couples were observed, for which 67 had a bride younger than the groom.whats is the parameter? .
Step 2: The null hypothesis and alternative hypothesis?
Step 5: whats the p-value is:

Answers

Answer:

Parameter = 0.5

Null hypothesis : H0 : P0 = 0.5

Alternative hypothesis ; H0 : P0 > 0.5

Pvalue = 0.99966

Step-by-step explanation:

The parameter defines a statistical value or calculation which is derived from the population.

The parameter in this scenario is the population proportion, P0 which is 0.5

The scenario above describes a scenario to test the difference in population.

The null hypothesis, that bride and groom are of the same age ;

H0 : P0 = 0.5

The alternative hypothesis ; the bride is younger Than the groom in more than half of the population.

H1 : p0 > 0.5

To obtain the Pvalue :

Test statistic : (phat - P0) ÷ √(p0(1 -p0) / n)

Phat = x/n

x = 67 ; sample size, n = 100

Phat = x / n = 67/100 = 0.67

P0 = 1 - 0.5 = 0.5

Tstatistic = (0.67-0.50) ÷ √(0.5(0.5) / 100)

Tstatiatic = 0.17 ÷ 0.05

Tstatistic = 3.4

P-value : p(Z < 3.4) = 0.99966 (Z probability calculator).

Three Rivers publishes a catalog each year, last year it had 198 pages back and front. Weprint 150 copies. How much does it cost the college if a ream, 500 pages, cost

$7.40 each?

Answers

Answer:

$222

Step-by-step explanation:

We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

14,850 pages = 14,850/500 = 29.7.

Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

30 reams = 30*7.40 = $222

Final answer:

To calculate the cost of printing the catalogs, you need to calculate the total number of pages printed, convert that into the number of reams needed, and then multiply by the cost per ream. The total cost comes out to $444.

Explanation:

This problem involves simple multiplication and division to calculate the cost. The catalog has 198 pages and they print 150 copies, so the total number of pages is 198*150=29,700 pages. Every ream has 500 pages so you need 29,700/500=59.4 reams. But, you can't have a part of a ream, so you should round up to 60 reams. Then you multiply the number of reams by the cost per ream: 60 reams*$7.40/ream=$444. Therefore, the cost to the college is $444.

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(-3l^2w^3)(2lw^4) simplify express using exponents.

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The simplified algebraic expression using exponents is $(-3l^2w^3)(2lw^4)$ simplifies to $-6l^3w^7.$

To simplify the given expression using exponents, follow these steps:

Multiply Coefficients: Multiply the coefficients (-3) and (2) to get -6.

Combine Like Bases: For the variables with the same base (l and w), add the exponents when they are multiplied together.

Here, $l^2 * l^1 = l^(2+1) = l^3$ , and $w^3 * w^4 = w^(3+4) = w^7.$

Final Simplified Expression: Combine the results from steps 1 and 2 to get $-6l^3w^7.$

Therefore, the simplified expression using exponents is $(-3l^2w^3)(2lw^4)$ simplifies to $-6l^3w^7$ .The expression has been simplified using the rules of exponentiation. This simplification helps in reducing the complexity of the expression and making calculations easier.

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Answer:

Step-by-step explanation:

(-3)(2)= -6

(l^2w^3)(lw^4) = l^3w^7

-6l^3w^7

Need help asap
Graph f(x) = 3x + 4 and h(x) = f(x) +1

Answers

The coordinatepoints to plot on the graph are (0, 5) and (1, 8). The graph for the given functions are plotted below.

The given functions are f(x) = 3x + 4 and h(x) = f(x) +1.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, h(x)=3x+5

The graph of f(x) = 3x + 4 is as follows:

Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept: (0, 4)

The coordinatepoints to plot on the graph are (0, 4) and (1, 7)

The graph of h(x)=3x+5 is as follows:

Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept: (0, 5)

The coordinate points to plot on the graph are (0, 5) and (1, 8)

The coordinatepoints to plot on the graph are (0, 5) and (1, 8). The graph for the given functions are plotted below.