Conan borrows $3,000 at a yearly simple interest rate of 1. 6% for 2 years. He owes in interest. He needs to pay back in all

Answer:

because of traingle

we have to firstly scale. the factor and add the numbers

The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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Answer:

f (t) ≈ 12,119(0.93)t, where t represents the number of years after 1990

Step-by-step explanation:

The exponential function will be \(f(t) = 12119(0.93)^t\). The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Exponents are used in exponential equations, as the name suggests. We are aware that a number's exponent (or base) tells us how many times the original number has been multiplied.

In the table, the data of the building is given for 1990 the cost is 12,100 and for 1992 the cost is 10,498.

The exponential expression is written as:-

\(f(t) = 12119(0.93)^t\)

For 1992 the time will be t = 2 years

\(f(t) = 12119(0.93)^2\\f(t) = 10490\)

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C. The sample sizes from each population are the same is not a requirement for one-way ANOVA.

The requirement for one-way ANOVA is not that the sample sizes from each population are the same. In fact, one-way ANOVA can handle situations where the sample sizes are different between populations. The main requirement for one-way ANOVA is that the populations have the same variance. The assumption of equal variances is known as homogeneity of variances. Other important assumptions for one-way ANOVA include:

Independence: The observations within each group are independent of each other.

Normality: The populations from which the samples are taken are approximately normally distributed.

Random Sampling: The samples are obtained through random sampling methods.

While it is desirable to have similar sample sizes in order to increase the statistical power of the analysis, it is not a strict requirement for conducting one-way ANOVA.

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Answer:

√3/10 = 0.1732

Step-by-step explanation:

√15 / 5√20 = (√5 x √3) / 5(√5 x √4) = √3 / (5 x√4) = √3 / 10

The answer to your question would be, 171.5

heres the answer:

8x10=80

2x1=2/100= 0.02

9x1=9/1000= 0.002

0.002+0.02+80=

80.002!!

Hello,

\( \frac{p(x)}{q(x)} = \frac{ {x}^{2} - x - 12}{x + 3} = \frac{(x - 4)(x + 3)}{x + 3} = x - 4\)

Answer:

Step-by-step explanation:

Answer:

-60

Step-by-step explanation:

-3 · 2 = -6 and 10⁴ · 10⁻³ = 10⁽⁴⁺⁽⁻³⁾⁾ = 10¹ = 10 so the answer is -6 · 10 = -60.

the value of |x-2| lies between 0 and 1 then λ also lies between 0 and 1. Then λ belongs to (0,1).

In the given question, if λ∈R and the domain of f(x) = \(\sqrt{\frac{log_{\lambda}|x-2|}{|x|}}\) is [1,2)∪(2,3], then λ belong to

The given function is

f(x) = \(\sqrt{\frac{log_{\lambda}|x-2|}{|x|}}\)

The function is belong in between [1,2)∪(2,3]. So

|x-2| ≠ 0  and  |x| > 0

x ≠ 2       and  x > 0

Since the value of x can not be equal to 2 and x value is always greater than 0. So

\(log_{\lambda}|x-2|\geqslant 0\)

The value of |x-2| should be lies between 0 and 1 because x cannot be equal to 2 and greater than 1.

So 0< |x-2| < 1

If the value of |x-2| lies between 0 and 1 then λ also lies between 0 and 1.

Hence, 0 < λ < 1.

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Note that the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D' is given as attached. Note that when a shape is reflected, it must be reflected over a line. In this case, the line of reflection is y = -3.

A line of reflection is a line that acts as a mirror, reflecting a figure across the line so that the image is a mirror image of the original.

When a shape is reflected, it must be reflected over a line. The line of reflection of quadrilateral ABCD onto quadrilateral A'B'C'D is

From the given graph, we have the following observations

ABCD was flipped over to form A'B'C'D'

The line of reflection is between both shapes.

Using points C and C' as references;

We have:

C = (-3, -1)

C" = (-3, -5)

Notice that both points have the same x-coordinate

This means that the line of reflection is parallel to the x-axis and passes through the y-axis.

The point at which it passes through the y-axis is calculated using the mid-point formula.

Therefore, we have:

y = (y1+y2)/2

y = (-1-5)/2

y = -6/2

y = -3

Hence, the line of reflection is y = -3
See the attachment for the line of reflection.

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Answer:

Step-by-step explanation:

The number of pounds of candy that sells for $0.79 per lb that  must be mixed with candy that sells for $1.35 per lb to obtain 8 tons of a mixture that should sell for $335 per ton is 580 pounds

Take x as the number of pounds of candy that sells for $0.79 per lb, and y as the number of pounds of candy that sells for $1.35 per lb.

x + y = 8 (i.e total amount of candy to be mixed)

0.79x + 1.35y = 335 (desired selling price per ton)

solve for x

y = 8 - x

0.79x + 1.35(8 - x) = 335

0.79x + 10.8 - 1.35x = 335

-0.56x = 324.2

x = 579.64

Thus x ≈ 580 to the nearest pound

Hence, about 580 pounds of candy that sells for $0.79 per lb must be mixed with candy that sells for $1.35 per lb to obtain 8 tons of a mixture that should sell for $335 per ton.

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Answer:h

Step-by-step explanation:

Answer:

it is D

UR WELCOME

Answer:

C

Step-by-step explanation:

Substitute the values of x into y and evaluate , that is

x = - 27 → y = \(\sqrt[3]{-27}\) = - 3

x = 0 → y = \(\sqrt[3]{0}\) = 0

x = 27 → y = \(\sqrt[3]{27}\) = 3

The values of y that complete the table are

- 3, 0, 3 → C

Answer:

Answer is 10

Step-by-step explanation:

little tringle area is 2×2/2=2

big tringle area is 4x4/2=8

the sum of the two will give the area of this shape its 10

Answer:

$1325

Step-by-step explanation:

c(w) = 200 + 0.75w

c(1500) = 200 + 0.75(1500)

c(1500) = 200 + 1125

c(1500) = 1325

Answer:

for cycling, time is 1.5 hours

for hogging time is 0.5 hour.

Step-by-step explanation:

speed of cycling = 30 km/h

speed of jogging = 8 km/h

total time  = 2 hrs

total distance, D = 49 km

Let the time for cycling is t, so that time time for jogging is 2 - t .  

distance = speed x time

49 = 30 x t + 8 (2 - t)

49 = 30 t + 16 - 8 t

33 = 22 t

t = 1.5 hour

So, time for cycling is 1.5 hours and time for jogging s 0.5 hr.

The number of ways to arrange these units is 5, which is 120. However, within the two-unit block of the two people who insist on sitting side-by-side, there are 2! = 2 ways to arrange them. Therefore, the total number of ways to seat the six people together in a row, with two of them insisting on sitting side-by-side, is 120 x 2 = 240.

To answer your question, we will use the concept of permutations. Since two of the six people insist on sitting side-by-side, we can treat them as a single unit. This leaves us with five units to arrange: the "paired" individuals and the other four people.

There are 5! (5 factorial) ways to arrange these five units, which is equal to 5 × 4 × 3 × 2 × 1 = 120 ways.

Now, we need to account for the different ways the two people in the "paired" unit can sit. Since there are two of them, there are 2! (2 factorial) ways, which is equal to 2 × 1 = 2 ways.

Finally, we multiply the two results together to find the total number of ways the six people can be seated together in a row with the two side-by-side individuals: 120 × 2 = 240 ways.

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Step-by-step explanation:

y= x^2+5x-7

the vertex is -2.5 , -13.25

solutions ( -6.14 , 0) and (1.14 , 0 )

..........

y= -x^2+3x+8

vertex(1.5 ,10.25)

solutions ( -1.7 , 0) and (4.7 ,0 )

The experimental probability that at least two heads would be gotten is 11 / 25.

The theoretical probability that at least two heads would be gotten is 1/2.

Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Experimental probability is based on the result of an experiment that has been carried out multiples times.

Experimental probability = number of times at least two heads would be gotten / total number of tosses

( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25

Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes

4 / 8 = 1/2

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Hence, the slope of the line means for every one dollars the person earn the saving decrease by 1 dollars

The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.

Therefore,

y = 100x + 50

Using the linear equation model,

y = mx + b

where

Therefore,

slope = 100

y-intercept = 50

Hence, the slope represents for every one dollars the person earn the saving decrease by 1 dollars

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Answer:

The right analytical model for the profits of the company for any given year n, (pₙ) is that of a geometric series and it is given as

pₙ = 3000 (3ⁿ⁻¹)

Step-by-step explanation:

Concluding part of the question

In year one, a company earned $3,000 in profits; in year two they earned $9,000 in profits. In year 3 they earned $27,000 in profits and in year 4 they earned $81,000. Which analytical model illustrates this profit pattern?

Solution

From the pattern of the profits, it is evident that the profits follow a geometric series' pattern with the first term equal to the profits in the first year, $3000, the profit in the second year is the second term and so on.

First term = a = Profits in the first year = 3000

Second term = a₂ = Profits in the second year = 9000

Third term = a₃ = Profits in the third year = 27000

Fourth term = a₄ = Profits in the fourth year = 81000

The general formula for any term of a geometric series is

aₙ = arⁿ⁻¹

a = first term

r = common ratio

But for a geometric series, common ratio is given as the next term divided by the very previous term.

r = (aₙ/aₙ₋₁)

For this question,

r = (9000/3000) = (27000/9000) = (81000/27000) = 3

So, the right model for the profits for any given year n is

pₙ = 3000 × 3ⁿ⁻¹

pₙ = 3000 (3ⁿ⁻¹)

Hope this Helps!!!

Answer:

7000 im pretty sure if not im sorry

Answer:

4(y-3)

4y-12

I hope this helped.

Step-by-step explanation:

X = 7

X = 2

The exponential growth model, is more likely to represent the set of data over time.

To compare two models and determine which one best fits the data for the U.S. Homes dataset, we need to consider the trend and characteristics of the data points. Let's assume we have two models: Model A and Model B.

Model A: Linear Growth Model

This model assumes a linear relationship between the year and the average sale price. It suggests that the average sale price increases at a constant rate over time.

Model B: Exponential Growth Model

This model assumes an exponential relationship between the year and the average sale price. It suggests that the average sale price increases at an accelerating rate over time.

To determine which model best fits the data, we can plot the data points and observe the trend:

Year Average Sale Price (thousands$)

1990 149

1995 158

2000 207

By plotting the data, we can observe that the average sale price tends to increase over time. However, the increase does not seem to be linear, as there is a significant jump between 1995 and 2000.

Therefore, it is more reasonable to assume an exponential growth trend for this dataset, indicating that Model B, the exponential growth model, is more likely to represent the set of data over time.

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Answer:

8.8 x 10 to the power of 6

Step-by-step explanation:

-3(n+6)+10=-8

Use distributive property:

-3n -18 +10 = -8

Combine like terms:

-3n -8 = -8

Add 8 to both sides:

-3n = 0

Divide both sides by -3:

n = 0

Answer:

n=0

Step-by-step explanation:

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Step-by-step explanation:

whatever amount if brown sugar you use is the same amount if sugar you use. so if you use 1/2cup of brown sugar you use 1/2cup of sugar. sorry can't see the number you have written before the word cup