suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually? how much money will be in that account at the end of 4 years?

Answer:

x+5=12

or,x=12-5

or,x=7

The value of R is 7 , we can find answer using concept of greatest integer and square root .

What is square root of a number ?

Square root , in mathematics , a factor of a number that , when multiplied by itself , returns the original number.

e.g. Square root of 9 are both 3 and -3.

Symbol = " √ "

In given que, we need to find greatest integer smaller than √51.

Root of 51 will not give exact integer value.

As we know root of 49 is 7 and root of 64 is 8.

And 51 lie between 49 and 64,

So, Square root of 51 will also lie between 7 and 8.

So, the greatest integer smaller than √51 will be 7.

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The expression representing the perimeter of the triangle is (5x+3)

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given that, The length of the bottom of the triangle is x. Another side is 1 more than three times the length of the bottom of the triangle. The last side is 2 more than the bottom of the triangle.

Let the bottom length of the triangle be x, then, according to question, other two sides will be, (3x+1) and (x+2)

Perimeter = sum of all the side

Perimeter = x+x+2+3x+1

= 5x+3

Hence, The expression for the perimeter of the triangle is (5x+3)

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Royce statement is the correct statement that is dilation can be represented by (1/3x, 1/3y).

What is a coordinate plane?

Two number lines combine to generate the two-dimensional surface known as the coordinate plane. The x-axis is a single horizontal number line. The y-axis is the name of the vertical number line that is the other number line. The origin is where the two axes come together. The coordinate plane can be used to graph points, lines, and other things.

Scale Factor is defined as the ratio of the size of the new image to the size of the old image.

The x-coordinate of old point is 3.

The y-coordinate of old point is 9.

The x-coordinate of new point is 1.

The y-coordinate of new point is 3.

The dilation is (x-coordinate of old point)/ (x-coordinate of new point) = 1/3.

The dilation is (y-coordinate of old point)/ (y-coordinate of new point) = 3/9 = 1/3.

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Part-A:  linear model is not reasonable which is strong

Part-B : Strong, but linear model is not reasonable

Part-C :  Strong,  linear model is reasonable

Part-D : moderate, linear model is not reasonable

Given that,

We have to find explain the strength of the relationship in the data and whether or not it would be appropriate to fit a linear model.

We know that,

There are 4 options that are:

weak relationship

moderate, linear model is reasonable

strong, linear model is reasonable

strong, but linear model is not reasonable

moderate, but linear model is not reasonable

Therefore,

Part-A:  linear model is not reasonable which is strong

Part-B : Strong, but linear model is not reasonable

Part-C :  Strong,  linear model is reasonable

Part-D : moderate, linear model is not reasonable

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The remainder will be 33, 9, 7, and 14 for options a, b, c, and d respectively.

The Remainder is the extra part of a number that restricts the number to be divided completely.

a)

(19² mod 41) mod 9

Let us determine 361 mod 41

a=361 = 328+33= 8*41+33 =8d+33

The remainder is the constant in the final expression: 361 mod 41=33

33 mod 9 = 6 (since a=33= 27+6=3*9+6=3d+6)

b)

(32³ mod 13)² mod 11

Let us determine 32 mod 13

a=32=26+6=2*13+6+2d+6

The remainder is the constant in the final expression: 32 mod 13=6

[tex](6^{3} mod13)^{2} mod 11\\(216mod13)^{2} mod 11[/tex]

Let us determine 216 mod 13

a= 216= 208+8=16*13+8 = 16d+8

The remainder is the constant in the final expression: 216 mod 13=8

[tex]8^{2} mod 11\\64 mod 11[/tex] = 9 (since, 64= 55+9= 11*5+6= 11d+6)

c)

(7³ mod 23)² mod 31

[tex](343mod23)^{2} mod 31\\[/tex]

Let us determine 343 mod 23

a=343=322+21=14*23+21=14d+21

The remainder is the constant in the final expression: 343 mod 23= 21

[tex]21^{2} mod 31 = 441 mod 31=7[/tex] (since a = 441=434+7=14*31+7=14d+7)

d)

(21² mod 15)³ mod 22

[tex](441mod15)^{3} mod 22[/tex]

Let us determine 441 mod 15

a=441 = 435+6= 29*15+6= 29d+6

The remainder is the constant in the final expression: 441 mod 15= 6

[tex]6^{2} mod 22=36mod22= 14[/tex] (since a = 36= 22+14= 1*22+14= d+14)

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Answer:

There is no solution

Step-by-step explanation:

x - 4y = 15

3x -12y = 12

Times the first equation by -3

-3x +12y = -45

3x - 12y = 12

0 = -33

This is untrue; 0 is not equal to -33

So, there is no solution for this system.

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Answer:

Hope this Helps!!!

Answer:

7a + 9b

Step-by-step explanation:

"a" is basically a shorter way of writing "1a;" and this is the same way for any singular variable. Examples would variables like "a," "b," "c," and so on. So the real equation would be 6a + 1a + 8b + 1b. If 2 numbers have the same variable then you can add them together. You solve it like this:

6a + 1a = 7a

8b + 1b = 9b

The equivalent of 6a +a + 8b + b is 7a + 9b.

g(x) = x^2 - 3

f(x) = x^3+7x^2-x

Start with the g(x) function. Replace every x with f(x)

g(x) = x^2 - 3

g(f(x)) = ( f(x) )^2 - 3

Then replace the f(x) on the right side with x^3+7x^2-x

g(f(x)) = (x^3+7x^2-x)^2 - 3

The highest term inside the parenthesis is x^3. Squaring this leads to (x^3)^2 = x^(3*2) = x^6

So the highest exponent found in g(f(x)) is 6, meaning the degree of is 6

Answer:

A linear function is a function whose graph is a straight line. An exponential function is a function in which the variable appears in an exponent. A linear function has a constant rate of change, meaning that the rate of change between two points on the line is the same. An exponential function has a variable rate of change, meaning that the rate of change between two points on the line is not constant.

Explanation: A linear function, has y-values with equal differences. An exponential function has y-values with equal ratios.

In contrast to the fact that almost all time series contain a random component, certain time series do not.

A TIME SERIES IS WHAT?

A time series is a group of observations of clearly defined data points produced over time via repeated measurements. A time series would include, for instance, calculating the amount of retail sales for each month of the year. This is due to the well defined and regular measurement of sales income at uniformly spaced intervals. Time series data are not those that are irregularly or once collected.

Three parts can be separated out of a time series observation: the trend (long-term direction), the seasonal (systematic, calendar-related motions), and the irregular (unsystematic, short term fluctuations).

In mathematics, a time series is a collection of data points that have been indexed chronologically.

A time series is typically a sequence that was recorded at a number of evenly spaced points in time.

It is therefore a set of discrete-time data.

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Shawn can type [tex]1\frac{6}{21}[/tex] pages in an one hour.

What is typing speed?

How many words a person can correctly type in one minute. He types at a 60 wpm rate.

Given:

Shawn is typing a paper for class. He can type 1 2/7 pages in 1/3 of an hour.

We have to find how many paged he can type in one hour.

First to convert improper fraction 1 2/7 into a fraction.

⇒ [tex]1\frac{2}{7} = \frac{7*1+2}{7} = \frac{9}{7}[/tex]

So, Shawn can type 9/7 pages in 1/3 of an hours.

i hour = 3/3

So, Shawn can type

9/7 x 3/3 = 27/21 =  [tex]1\frac{6}{21}[/tex] pages in one hour.

Hence, Shawn can type [tex]1\frac{6}{21}[/tex] pages in an one hour.

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Answer:

husband = wife earn + 2450

wife = 9 470

Husband earnings:

9 470 + 2 450 = sh 11 920

husband + wife

11 920 + 9 470 = sh 21 390

Step-by-step explanation:

The number line of the set C ={x : x ≤ -3} is attached

From the question, we have the following parameters that can be used in our computation:

Set C ={x:x<=-3}

Rewrite properly

So, we have

Set C ={x : x ≤ -3}

Remove the curly braces from the set notation

So, we have the following representation

x ≤ -3

There are no multiples and factors to divide or multiply

Also, there are no terms to subtract or add

This means that the inequality to represent on the number line is x ≤ -3

See attachment for the number line

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Answer:

Monthly income of a Man is ₹53000

Total salary earned in an year = 53000 × 12

= 636000

20% in civil investment fund.

So, 636000 × 20 ÷ 100 = 127200.

10% in charity.

So, 636000 × 10 ÷ 100

= 63600.

1% is social security tax on first 300000 = 3000.

300000 × 15 ÷ 100 = 45000.

Total tax he should pay = Amount remained is 390840

Step-by-step explanation:

Answer:

I'm sorry I don't know

Step-by-step explanation:

........

When a store is offering a 30% discount on all jeans. If the regular price of a pair of jeans is $49.99, then the sale price of the jeans after discount will be $34.99 per pair.

The computation of the discounted price or the actual sales price of the jeans after applying the given discount can be calculated using the generalized formula, and putting the values of the provided information, as below,

Sale Price = Regular Price – Discount Rate

Sale Price = 49.99 – 30%

Sale Price = 49.99–14.97

Sale Price = $34.99

Therefore, the actual sales price of the pair of jeans will be $34.99.

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ur not the smartest person

65,760,000

By using some exponent properties, we will find the equivalent expression:

(m⁻²*n⁻³)⁻⁴ = m⁸*n¹²

Here are some exponent properties that we need to use:

(aⁿ)ˣ = aⁿ*ˣ

(a⁻ⁿ) = (1/a)ⁿ

Here we have the expression:

(m⁻²*n⁻³)⁻⁴

The exponents can be distributed under multiplication, then:

(m⁻²)⁻⁴*(n⁻³)⁻⁴

Now we can use the first property so we get:

(m⁻²)⁻⁴*(n⁻³)⁻⁴ = m⁽⁻²*⁻⁴⁾*n⁽⁻³*⁻⁴⁾

m⁽⁻²*⁻⁴⁾*n⁽⁻³*⁻⁴⁾ = m⁸*n¹²

That is the equivalent expression.

(m⁻²*n⁻³)⁻⁴ = m⁸*n¹²

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Answer:

5

Step-by-step explanation:

1.24 × 4 = 5

or it can be 1.24 ÷2 =0.265

Answer: Yes

Step-by-step explanation:

Most of the time, if a graph passes through the origin it is a proportional relationship!

Using the frequency table, the number of values greater than or equal to 7 is 36.

Frequency refers to the number of times an event or a value occurs.

A frequency table is a table that lists objects and shows the number of times the items occur.

The distribution of observations based on a variable's possible values is displayed in a frequency table.

Frequency tables are helpful to determine which alternatives appear more or less often in the dataset.

This is useful for better understanding each variable and determining whether or not variables need to be recorded.

So, values greater than or equal to 7:

Refer to the frequency table attached below.

The value of 7 is 3.

Sum of all values that is equal to 3 or greater than 3 as follows:

3+4+6+3+3+4+5+4+4

36

Therefore, using the frequency table, the number of values greater than or equal to 7 is 36.

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Step-by-step explanation:

The spherical and Cartesian coordinates are related by the equations,

x = ρ sin(φ) cos(θ)

y = ρ sin(φ) sin(θ)

z = ρ cos(φ)

Here, x, y and z represent the coordinates of the center of the sphere on x, y and z axes respectively.

Now, multiply the given surface equation by ρ.

ρ² = ρsin(θ) sin(φ)

We have, ρ² = x² + y² + z².

Substitute this value in above equation and also replace the RHS by y coordinate.

x² + y² + z² = y

Now, simplify the above equation.

x² + y² - y + z² = 0

x² + y² - 2y½ + (1/2)² + z² = (1/2)²

x² + (y - 1/2)² + z² = (1/2)² ...(1)

The general form of equation of sphere is,

(x - a)² + (y - b)² + (z - c)² = r²

Here, a, b, c are the coordinates of the center of the sphere on x, y, z axes respectively and r is the radius of the sphere.

Compare equation (1) with the general form of equation of sphere. Therefore we get,

Therefore, the radius of the sphere is 1/2 and center of sphere is at (0, 1/2, 0).

Thus, The given equation represents - a sphere of radius 1/2 centers at (0, 1/2, 0).

The probability that the person selected will be someone whose response is never and who is a woman is 0.0636 = 6.36%.

A probability of an occurrence in the context of a problem is calculated by dividing the desired outcomes in the problem by the entire number of outcomes in the problem.

In the context of this problem, these outcomes are given as follows:

Desired outcomes: people whose response is never and who are women.

Total outcomes: all participants.

Hence, as all participants represent the desired outcomes, the probability that the person selected will be someone whose response is never and who is a woman is the relative frequency of people who are women and who respond never, which is: 0.0636 = 6.36%.

Missing question:

(Refer to the image for the complete question)

One person surveyed will be selected at random:

What is the probability that the person selected will be someone whose response is never and who is a woman?

What is the probability that the person selected will be someone whose response is never 0r who is a woman?

What is the probability that the person selected will be someone whose response is never given and that the person is a woman?

For the people surveyed are the events of being a person whose response is never and being woman independent?

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Answer: 12 attendee

Step-by-step explanation:

Take 48 divided by 4 = 12 attendee

So there are 12 atteded

Answer: 12

Step-by-step explanation:

12 x 4 = 48

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Answer:  [tex]\textsf{\$1583.9 per day}[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{The table with the information}[/tex]

Find:  [tex]\textsf{The average daily balance of Elliott's account for the month of June}[/tex]

Solution: In order to get the average daily balance, we need to use a formula where we have a weighted balance for each day.  For example, out of the 30 days in June, 9 of the days there was $1223 in the account, for 5 days there was $1223 + $615 in the account, for 7 days there was $1223 + $615 - $63 in the account, and for the last 9 days there was $1223 + $615 - $63 - $120 in the account.  This all happened over 30 days and to translate this to an equation it will look something like the following.

Convert to equation and simplify

Therefore, the final answer would be that the average daily balance of Elliott's account for the month of June would be $1583.9 per day.

The probability that a driver chosen at random from the community will be in the low-risk category for the next year is 0.8

Probability:

In math,  the ratio of the times an event is likely to occur divided by the total possible events is known as probability.

Given,

Here we need to find if 80% of the drivers in the community are in the low-risk category this year, then the probability that a driver chosen at random from the community will be in the low-risk category for the next year.

Here we know that, 80% of the drivers in the community are in the low-risk category this year.

Then as per the definition of probability, the the community will be in the low-risk category for the next year is calculated as,

=> 80/100

=> 0.8

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Answer: I believe f(-1) will be -1

Step-by-step explanation:

You'll notice that f(x) is increasing by 7, so instead of adding 7 subtract 7.

Extend the table to the left having the (x) go down

Answer:

one solution

Step-by-step explanation:

because it has diffrent slopes