I really need help with this ?

The best decision to purchase a old car is cheaper compare to new car as per the total cost for each scenario over three years.

Compare the total costs of keeping his old car versus buying a new car, Manny needs to consider all the costs involved.

These include the cost of gas, the cost of maintenance and repairs, and the cost of purchasing the new car.

First, calculate the total cost of keeping his old car for three years.

Gas Cost,

Manny drives 190 miles per week,

which is approximately 9,880 miles per year 190 miles x 52 weeks.

With his old car's fuel efficiency of 18 miles per gallon,

He will use approximately 549 gallons of gas per year 9,880 miles ÷ 18 mpg.

At the current gas price of $ 2.9 per gallon, his annual gas cost will be $ 1,593 (549 gallons x $ 2.9 per gallon).

Over three years, his total gas cost will be $ 4,779.

Maintenance and Repairs Cost,

Manny's old car needs an average of $ 770 per year in maintenance and repairs.

Over three years, his total maintenance and repairs cost will be $ 2,310.

Total Cost of Keeping His Old Car,

Adding the gas cost and the maintenance and repairs cost,

Manny's total cost of keeping his old car for three years will be $ 7,089.

Now let's calculate the total cost of buying the new car.

Cost of Purchasing the New Car,

The new car costs $ 6,500, which he will pay over three years.

This works out to a monthly payment of approximately $ 181.94.

Gas Cost,

With the new car's fuel efficiency of 32 miles per gallon,

Manny will use approximately 309 gallons of gas per year (9,880 miles ÷ 32 mpg).

At the current gas price of $ 2.9 per gallon,

His annual gas cost will be $ 897.10 (309 gallons x $ 2.9 per gallon).

Over three years, his total gas cost will be $ 2,691.30.

Maintenance and Repairs Cost,

The new car will only require an average of $ 10 per month for general maintenance.

Over three years, his total maintenance and repairs cost will be $ 360.

Total Cost of Buying the New Car,

Adding the cost of purchasing the new car, the gas cost, and the maintenance and repair cost

= 6500 + 2691.30 + 360

=$9551.30

$9551.3 > $7089

Total cost of new car > Total cost of old car.

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Using the lowest common factor of the shuttles' run times, they will depart again for the campus simultaneously at 10.25 A.M.

We can use the lowest common factor (LCM) of their run time to determine when they depart again for the campus.

The lowest common factor of 30 and 20 is 60 because both 30 and 20 can divide 60 evenly without a remainder, showing that it takes 60 minutes for the two shuttles to depart for the campus at the same time.

We can conclude that every 60 minutes or hour, the two shuttles simultaneously depart for the campus.  Every hour, the shuttle departing from Ball Hall completes 2 runs, while the shuttle departing from Lot A completes 3 runs.

Thus, using the lowest common factor, the next time both shuttles will depart for the campus at the same time is 10:25 A.M.

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The daily lunch sets cost $6, while the special lunch sets cost $36.

A linear equation with two variables consists of the greatest power of a variable being one.

Now, for the given condition in the question;

Let the price of the daily lunch set is 'x'.

Let the price of the special lunch set is 'y'.

Then, 2 daily lunch sets and 3 special lunch sets costs $120.

2x + 3y = 120     .......(equation 1)

And, 5 daily lunch sets and 2 special lunch sets costs $157.

5x + 2y = 157    ......(equation 2)

Using elimination method to solve equation 1 and 2.

y = 36 (price of each special lunch sets)

x = 6 (price of each daily lunch sets)

Therefore, the price for the daily lunch sets is $6 and price for special lunch sets is $36 in an restaurant.

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The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Answer:

H

E

A

R

T

S

Step-by-step explanation:

easy

Answer:

45 percent

Step-by-step explanation:

20-11=9

9 divided by 20= 0.45

0.45 x 100= 45%

The shape of the front of the Mexican tote bag can be described as a trapezoid. A trapezoid is a quadrilateral with one pair of parallel sides and the other pair of non-parallel sides.

In this case, the sides of the trapezoid are perpendicular two pairs, meaning that one pair of non-parallel sides is perpendicular to the other pair of non-parallel sides.

The front of the Mexican tote bag typically has a wider top and a narrower bottom, which creates the parallel sides of the trapezoid. The wider top provides a larger opening for easy access to the contents of the bag, while the narrower bottom helps maintain the bag's shape and stability.

This trapezoidal shape is commonly seen in tote bags as it offers practicality and functionality. The wider top allows for convenient storage and retrieval of items, while the narrower bottom helps distribute the weight evenly and prevents the bag from sagging.

The trapezoidal shape of the front of the Mexican tote bag combines both style and functionality. It not only provides an aesthetically pleasing design but also offers practicality in terms of storage capacity and easy access to the bag's contents.

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Answer:

9 boxes

Step-by-step explanation:

The number of boxes that has the same number of marbles is 9.

Option B is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total number of marbles.

= 55 + 143

= 198

The number of boxes where each box has the same number of marbles.

= 198 / 22

= 9

Where each box will have 22 marbles.

Thus,

The number of boxes is 9.

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Answer:=102.5

Step-by-step explanation:

The number of groups will be 7. And each group contains 4 red and 5 blue marbles.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Malik has 28 red marbles and he has 35 blue marbles. Malik needs to partition the marbles into bunches so each gathering has similar items.

The factor of the number 28 is given as,

28 = 2 x 2 x 7

The factor of the number 35 is given as,

35 = 5 x 7

The common factor of the numbers 28 and 35 is 7. Then the number of groups will be 7. And each group contains 4 red and 5 blue marbles.

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Answer:

48.6g

Step-by-step explanation:

72.9 / 9 = 8.1 (divide by 9 to get the amount of sugar needed for 1 cake)

8.1 x 6 = 48.6 (multiply it by 6 to get the amount of sugar needed for 6 cakes)

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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The surface area of the given two rectangular prism is given as follows:

498 cm².

The surface area of a rectangular prism of length l, width w and height h is given as follows:

S = 2(lw + wh + hl).

For this problem, there are two prisms, with dimensions given as follows:

Hence the surface area of the figure is the combined surface area of each figure, hence:

S = 2(7 x 7 + 12 x 7 + 12 x 7) + 2(2 x 7 + 2 x 2 + 7 x 2) = 498 cm².

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The equation of the line passing from found as y = 5.

The formula for finding the slope is;

m = Δy/Δx

Where, m is the slope

The given equation of line is;

x = 3 comparing it with standard form of equation;

y = mx + c

As, the equation is a straight line passing parallel to x axis, the slop of line x = 3 is ∞.

Thus, m₁ =  ∞.

Now, let the slops of the line passing from (-2, 5) is m₂,

The, as both line are perpendicular.

Thus,

m₁ x m₂ = -1

m₂ = -1/∞

m₂ = 0

The equation of line is found by

y - y₁ = m₂(x - x₁)

Put the values;

y - 5 = 0(x + 2)

y = 5

Therefore,the equation of the line passing from found as y = 5.

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Answer

inductive reasoning to prove a statement.

Step-by-step explanation:

contains a table with a logical series of statements and reasons. uses a visual chart of the logical flow of steps needed to reach a conclusion. contains a set of sentences explaining the steps needed to reach a conclusion.

Answer:

The population will be 334,958.

Step-by-step explanation:

Multiply 338,000 by 0.009 to get the answer. The reason is to multiply by a percentage, you move the decimal two spots to the left. For example, 0.9 -> 0.009.  Another would be 3 -> 0.03.

Answer:

43,200

Step-by-step explanation:

4.32 x 10∧4

10 x 10 x 10 x 10

4.32 x 10000

43,200

Answer:

12

Step-by-step explanation:

The experimental probability that only 2 of the 4 children in the family are boys, from the number or desired outcomes is; P(Only 2 boys) = 0.45

Experimental probability is the computation of estimate of an event occurring based on actual experiments.

The number of outcomes that have exactly two heads = 9, which are;

HTTH, HTHT, HHTT, THHT, HTTH, HTHT, TTHH, THTH, HTHT

The total number of outcomes = 20

Therefore, the experimental probability of having only two boys is; 9/20 = 0.45

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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Hey there! I'm happy to help!

Let's pretend that we are building a small sundae. We have 3 choices of ice cream flavors.

Now, we want to pick a topping. We have 4 choices here.

After we choose a topping, we can pick another. We only have 3 choices now because we need different toppings, and we already used one.

We want to find how many possible combos we can make. What we do is multiply all of these numbers of choices, and this will show us how many possible sundaes there are.

3×4×3=36

Therefore, there are 36 different sundaes that can be made.

Have a wonderful day! :D

Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

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The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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To describe the temperatures for the week, we can apply the following statistical tools:

a) Find the mean, median, mode, and range.

c) Construct a line graph.

d) Construct a stem and leaf plot.

We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).

The mean temperature is the average, which shows the overall trend in temperature changes.  It is computed by adding up the temperatures for the period and diving by the number of data values.

In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.

We can estimate the difference between the highest and lowest temperature for the week with the range.

A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.

Thus, we can use Options A, C, and D to describe the temperature.

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What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)

Mon - 65°

Tues - 67°

Wed - 66°

Thur - 70°

Fri - 72°

Sat - 68°

Sun - 69°

a) Find the mean, median, mode, and range.

b) Survey people about the weather.

c) Construct a line graph.

d) Construct a stem-and-leaf plot.

Answer:

15 ÷ 1/3

Step-by-step explanation:

Quotient means division

15 ÷ 1/3

Answer:

15÷1/3

Step-by-step explanation:

Hope this helps!

Have a lovely day!

Answer:

Step-by-step explanation:

This can be solved with a very basic knowledge of probability and proportions. If we have 2 chances out of 7 to pick a blue marble, then we have 5 chances out of 7 to pick a red one, right? We can use that and set up a proportion with red marbles on top and total number of marbles on the bottom:

\(\frac{red}{total}:\frac{5}{7}=\frac{x}{84}\)

5/7 is the reduced fraction that represents the number of red marbles over the total number of marbles. Solving this way allows us to find out what the fraction was before it was reduced, hence, giving us the total number of red marbles. Cross multiply to solve:

7x = 420 so

x = 60. 60 red marbles total

Answer:

The probability of the next two customers both select key lime pie is 1/15

Step-by-step explanation:

No. of slices of cakes = 3

No. of key lime pies = 3

No. of ice cream sundaes = 4

Total deserts = 3+3+4=10

We are supposed to find The probability of the next two customers both select key lime pie

Probability of selecting key lime pie by first customer =\(\frac{3}{10}\)

So,Total deserts =10-1=9

No. of key lime pies = 3-1=2

So,Probability of selecting key lime pie by second customer = \(\frac{2}{9}\)

So,the probability of the next two customers both select key lime pie=\(\frac{3}{10} \times \frac{2}{9} =\frac{1}{15}\)

Hence the probability of the next two customers both select key lime pie is 1/15