Jenny has 1 stamp to begin her collection. She then collects 7 stamps per day. Let y represent the total amount of stamps in Jenny's
collection after x days.

Express the equation in the form of y=mx+b
Enter your answer in the box
PLS HELP!!!

Answer:

question 1: x=16

question 2: x=55

Step-by-step explanation:

I left an image below to show you my work. I hope this helps!

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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Simplification of the given expression to single complex number are as follow :

1. 3i

2. 4i

3. 24

4. 15

5. 1 + √3 i

6.  2 + \(\sqrt{5}i\)

As given,

Simplify the following expression to a single complex number,

1) \(\sqrt{-9}\) = \(\sqrt{9}\sqrt{-1}\) = 3i

where i is the complex number representing \(\sqrt{-1}\)

2) √-16 = 4i

3) √-6 √-24

= √6 ×6 ×4

= 6 ×4

= 24

4) √-3 √-75

=√ 3×75

= √3 × 3 ×25

= 3 ×5

=15

5) \(\frac{2 +\sqrt{-12} }{2}\)

= (2 + 2√-3) /2

= 1 + √3 i

6) \(\frac{4+\sqrt{-20}}{2}\) = \(\frac{4+\sqrt{20}\sqrt{-1}}{2}\) = \(\frac{4+(2\sqrt{5}\sqrt{-1})}{2}\) = \(\frac{4+(2\sqrt{5}i)}{2}\) = \(\frac{2(2+\sqrt{5}i)}{2}\) = 2 + \(\sqrt{5}i\)

where i is the complex number representing \(\sqrt{-1}\)

Therefore, simplification of  the given expression to single complex number are as follow :

1. 3i

2. 4i

3. 24

4. 15

5. 1 + √3 i

6.  2 + \(\sqrt{5}i\)

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The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.

A square is a type of quadrilateral that has four sides with four angle 90° at each edge.

The number of chocolate square mixture Charlene would use for the party = 8 packages.

The number of packages that require a cup of milk = 1

Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.

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When writing a proof , by copying the “given” statement(s) from the original problem

Given data ,

A true assertion that is provided in the problem or is known to be true should be the first statement in a proof. The subsequent logical argument has this as its foundation.

We can provide the groundwork for the proof and proceed to the desired conclusion by duplicating the "given" statement(s) from the original problem.

Once the first statement is established, we can move on to writing additional statements that are each logically supported by the first statement.

The logical evolution of the preceding assertions demonstrates that the last statement should be the intended conclusion.

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Answer:

There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.

Step-by-step explanation:

With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:

The probability of having k dead batteries in the sample is:

\(P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\)

Then, the probability of having one or more dead batteries in the sample (k≥1) is:

\(P(x\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{4}{0} p^{0}q^{4}=1*1*0.7^4=0.2401\\\\\\P(x\geq1)=1-0.2401=0.7599\approx0.76\)

Answer:

its A and D dont listen to the other person lol

W

Answer:

33.0220147 % reduction

Step-by-step explanation:

Take the original price and subtract the new price

14.99-10.04 = 4.95

Divide by the original price

4.95/14.99 =.330220147

Change to percent form

33.0220147 %

Answer:

i put it on my notebook

Step-by-step explanation:

sorry it took so long i was in class and i had no free time.

Answer: 25

Step-by-step explanation:

bc

Answer:

60/9=6.66 everyone get 6.66

Ss, variance and the standard deviation for the population of scores is 2.83 and 8 respectively

What is standard deviation and variance?

Standard deviation is a measure of the distribution of statistical data, whereas variance is a measure of how data points differ from the mean. The fundamental distinction between the two is that although the variance is expressed in squared units, the standard deviation is expressed in the same units as the data's mean.

Given,

SS = 40

Variance = 10

Standard Deviation = 3.16

Using Population Variance Formula :

= \(\frac{1}{n}\)∑( x-xbar)²  where i is 1

For the complete solution see the attachment of table

sum ( x - x bar)² = 40

so, variance = 40/5

= 8

standard deviation = \(\sqrt{8}\)

= 2.83

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For the length of the punt, we equate the expression to zero f(x) = 0.

Given f(x) is the height (in feet) and x is the horizontal distance (in feet) from the point at which the ball is punted.

Horizontal distance means the distance between two points measured at a zero percent slope.

(-16/1225)x^2 + (7/5)x + 2.5 = 0

\(\left(\frac{-16}{1225}\right)x^2+\left(\frac{7}{5}\right)x+2.5=0\)

\(\frac{-16}{1225}x^2\cdot \:10+\frac{7}{5}x\cdot \:10+2.5\cdot \:10=0\cdot \:10\)

\(-\frac{32}{245}x^2+14x+25=0\)

\(-\frac{32}{245}x^2\cdot \:245+14x\cdot \:245+25\cdot \:245=0\cdot \:245\)

\(-32x^2+3430x+6125=0\)

\(x_{1,\:2}=\frac{-3430\pm \sqrt{3430^2-4\left(-32\right)\cdot \:6125}}{2\left(-32\right)}\)

\(x_{1,\:2}=\frac{-3430\pm \:70\sqrt{2561}}{2\left(-32\right)}\)

\(x_1=\frac{-3430+70\sqrt{2561}}{2\left(-32\right)},\:x_2=\frac{-3430-70\sqrt{2561}}{2\left(-32\right)}\)

\(x=-\frac{35\left(\sqrt{2561}-49\right)}{32},\:x=\frac{35\left(49+\sqrt{2561}\right)}{32}\)

x=-1.7569 and x=108.94

On solving for x we get, x = 108 ft.

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Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

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Answer:

13.33

Step-by-step explanation:

As in the attached diagram,  we can see that the points belong to  \(\mu\pm \sigma\) interval

Data provided in the question as per the details below:

\(\mu_{\bar x}\) = 440

\(\mu_{\bar x} + \sigma_{\bar x}\) = 480

So,

\(\sigma_{\bar x}\) = 480 - 440

= 40

Now the standard deviation of the population is

\(V(\bar{x}) = \frac{\sigma}{\sqrt n} \\\\ = \frac{40}{\sqrt 9}\)

= 13.33

Hence, the standard deviation of the population for which the sample is drawn is 13.33

There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

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The value of /BD/ in the quadrilateral is 16.9m

A quadrilateral is polygon with four sides, four angles, four vertices, two diagonals  whose sum of angles is 360 degrees

The diagonal of the quadrilateral forms a triangle.

From the triangle ΔABD, two sides are given with an included angle.

/AB/=16m

/AD/=19m

/BD/=?

To find the length /BD/

let it be a.

Using cosine rule, we have

a²=b²+d²-2bdcosA

a²=19²+16²-2*19*16*cos57⁰

Simplifying the formula

a²=361+256-608*0.5446

a²=617-311.1168

a²=285.8832

taking the square of both sides we have

a=√285.8832

a=16.9m

Therefore the length of the side /BD/ = 16.9m

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Answer:

The diameters acts as diagonals

Step-by-step explanation:

QTSY is known to be a rectangle inscribed successfully inside a circle.

Now one of the properties of a rectangle is that it's diagonal divide it's shape into two equal parts and that it's has two equal diagonals.

In this case, the diagonals are QS and YT.

Another thing to observe it's that the diagonals of the rectangle pass through the center of the circle R and touching the circumference at both ends making the both diagonals a diameter as well.

So to prove that QS=YT

they are both diagonals that are diameters and they are equal because diameters of a circle are always equal while diagonals of a rectangle are also always equal.

Answer:

3. The probability of selecting a red marble and then a white marble is 4/15 * 5/14 = 0.1833

4. The probability of selecting a blue marble and then a red marble is 6/15 * 4/14 = 0.2133

The value of PR in the right angled triangle is 14cm

A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.

using Pythagoras,

(PQ)^2 = (PR)^2 + (QR)^2

but PQ = 50cm, QR = 48cm, PR is unknown.

Substituting, we have

50^2 = (PR)^2 48^2

2500 = (PR)^2 + 2304

(PR)^2  = 2500 - 2304

(PR)^2 = 196

PR = \(\sqrt{196}\)

PR = 14cm

In conclusion, the value of PR is 14cm

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We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

9/4 ÷ 3/4 = 3

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

f(250) = ?

Is asking, "What is the frequency (number of trees) that have a height of 250"

Look at the graph to see that when x = 250 (height), y = 50 (trees).

Therefore, f(250) = 50

It can be seen that x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

To find x using the sine rule, we need to solve the equation:

sine(45) / x = sine(30) / (2x + 2√3)

Simplifying this equation, we have:

(2x - 1) / x = 1 / (2x + 2√3)

Cross-multiplying and simplifying further, we get:

(2x - 1)(2x + 2√3) = x

Expanding the brackets, we have:

\(4x^2 + 4\sqrt3x - 2x - 2\sqrt3 = x\)

Rearranging the terms and simplifying, we get:

\(4x^2 - 3x - 2\sqrt3 = 0\)

Using the quadratic formula, we can solve for x:

x = (-(-3) ± √((-3)^2 - 4(4)(-2√3))) / (2(4))

x = (3 ± √(9 + 32√3)) / 8

Therefore, x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

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Answer:

x1=-4/3   x2=0

Step-by-step explanation:

Answer:To find the mean of a data set, add all the values together and divide by the number of values in the set.

Step-by-step explanation: