If I deposit $1500 in my bank account and it increased by 15% at the end
of the year, how much money is now in my bank account

Answer:

Many mathematical operations are reversible, meaning you can go not just from A to B, but by the same reason go from B back to A.

Example x + 4 = 7. Subtract 4 from each side to get x = 7 - 4 = 3. But you could, if you wished, go from x = 3 to x + 4 = 7 by simply doing the opposite, adding 4.

Now consider an operation that is NOT reversible.

Example: Given sqrt(x) = x - 2. Square each side to get x = (x - 2)^2 =x^2 - 4x + 4, or

x^2 - 5x + 4 = 0. Factoring gives (x - 1) (x - 4) = 0. So, IF the original equation holds for a real number x, then the only possibilities are x = 1, x = 4.

If you plug x = 4 back into original equation, you get sqrt(4) = 4 - 2, which is true. But, if you plug in x = 1, you get sqrt(1) = 1 - 2, which is NOT true, as sqrt(1) = 1, not -1. The logic of the derivation was that, IF original equation were true, then x could possibly be only 1 and/or 4. In effect, it was really telling you what x is NOT, namely any number besides 1 and 4. Once you test the two “candidates” you see that one works and the other doesn’t.

Why does this happen? It has to do with the fact that square root is only a principal branch. Just as sqrt(16) is only 4 and not -4, so we are dealing with a limited possibility with which to start. Squaring glosses over this, and when you solve a quadratic equation, it generally gives two solutions (not nec. real). Because sqrt(x) started out to be nonnegative, that created the problem at end.

We utilize a two factors, independent measurements ANOVA, where, factor has 2 level and a factor likewise has 2 levels.

A factor in mathematics is an integer that evenly divides another number by itself, leaving no residue.

Factors and multiples are a part of our daily life. For example, they are employed in arranging objects in a box, handling money, recognizing patterns in numbers, solving ratios, and working with expanding

A number totally divides the provided number without leaving any residual is said to be the factor of that number.

The components of a number might be positive or negative. For example, let us find the factors of 8. Since 8 is divisible by 1, 2, 4, and 8, we may list the positive factors of 8 as, 1, 2, 4, and 8. Apart from this, 8 has negative elements as well, which might be stated as, -1, -2, -4,

According to our question-

Degrees of freedom for the F-test of the two way ANOVA

In this case, we utilize an ANOVA with two independent variables and two factors, each with two levels.

So, here,

= 2 for the number of layers of A

= B's level count is 2,

Moreover, n = sample size in each treatment condition is equal to 10.

So we have,

= df of the main effect A = ( - 1) = 2 - 1 = 1

= df of the main effect A = ( - 1) = 2 - 1 = 1

= df of interaction effect (A x B) = ( - 1)( - 1) ( - 1)

= (2-1)(2-1) (2-1)

= 1

And = df of within variation (i.e. error variation) =

= 2 x 2 x (10 - 1) (10 - 1)

= 36

Consequently, the df value for the F-ratio measuring factors-primary A's impact is

= () ()

= (1, 36) (1, 36)

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Answer:

Each can of soda costs about 33 cents.

Step-by-step explanation:

This is just a simple division problem, and you can find the answer by dividing the cost of the sodas by the total number of sodas, so 4/12. If you complete that problem, the answer is 0.33 repeating, and since it asks you to round to the nearest hundredth, the answer is just 0.33. It is in dollar amounts, so the answer is 33 cents.

Answer: Never(!) [assuming I understand/interpret the question properly]

Step-by-step explanation: The question wants to know how many months it will take for your neighbor's total cost be the same as yours, with three televisions. One has to interpret "total cost." I deem it to be the total accumulated costs, including installation. If you interpret it as the cost per month, then they charges are the same after the month the installation cast was paid. That's because the satellite provider charges per television, and 3*(13.32) is equal to the same 39.96/month charged by the cable provider. It the questions means total cumulative costs, the satellite customer will never exceed the cable customer's total bill, because of the installation fee ($75 for cable and free for satellite)

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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Answer:

6(3 + 2)

Step-by-step explanation:

Area = lb. where l = 6 and b = (3+2)

The amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

To find out the amount of money that you will have in eight years, you need to use the future value formula, which is:FV = PV × (1 + r)n

Where, FV = future value

PV = present value (initial investment) r = annual interest rate (as a decimal) n = number of years

First, you need to find the future value of the gift amount of $17,000 in two years.

Since it's a gift and not an investment, we can assume an interest rate of 0%.

Therefore, the future value would simply be:

PV = $17,000r = 0%n = 2 years

FV = $17,000 × (1 + 0%)2FV = $17,000

Now, you will loan that amount at 9.75% interest for six more years.

So, you need to find the future value of $17,000 after 6 years at an annual interest rate of 9.75%.

PV = $17,000

r = 9.75%

n = 6 years

FV = $17,000 × (1 + 9.75%)6

FV = $29,315.79

Therefore, the amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

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Answer:

1  19/60

Step-by-step explanation:

pls make me the brainleaist

Answer:

12>x>10

Step-by-step explanation:

-25<-3x+5

-3x+5<-31

Answer:

Lifegard

Step-by-step explanation:

Answer:

The Lifeguard Job

from khan academy (AKA KA)

Answer:

The answer is \(\sqrt{x} 101\)

Step-by-step explanation:

Answer:

D.\(\sqrt{101}\)

Step-by-step explanation:

The formula is = \(\sqrt{(x2-x1)^{2}+(y2-y1)^{2}\)

So, x1=-2 ; y1=3; x2=8; y2=2

putting these values in the formula the result will be \(\sqrt{101}\)

Hope, this helps you.

The equation of slope-intercept form is  y = mx - m.

What is slope-intercept form?

from the graph points are  ( 1 , 1 )

So,  x = 1 & y = 1

Equation is y = mx + c

put the value (x, y)

         1 = m * 1 + c

         1 = m + c

          c = - m

  y = mx - m

the equation is  y = mx - m

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The division of the polynomials will be x² + xy + y².

It should be noted that a polynomial simply means an expression that is composed of variables that are combined by using the mathematical operations. Polynomials are the sums of terms of the form k⋅xⁿ, where k is the number and n is a positive integer. An example, 3x+2x-5 is a polynomial

It should be noted that the polynomial given is:

= (x³ + y³)/(x + y)

= [(x - y)(x² + xy + y²) / (x - y)]

= x² + xy + y².

Therefore, the division of the polynomials will be x² + xy + y².

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Answer:

13,160

Step-by-step explanation:

\(si \: = \frac{pnr}{100} \)

P = principle amount

n = no.of years

r = rate(%)

\( = \frac{5600 \times 45 \times 3}{100} \)

= 56 × 45× 3

= 7560

The final answer is 5600 + 7560 = 13160

pls like and mark as brainliest if it helped!

15% of 280 students is 280 * 15% = 42 students

So the 7th grade class had 280 - 42 = 238 students enrolled this year.

The 7th grade class saw a decrease in enrollment by 15%. This means that there were fewer students enrolled in the class compared to the previous year. To calculate the decrease in enrollment, we can find 15% of the total number of students from the previous year. In this case, the 7th grade class had 280 students last year. So, 15% of 280 is 42 students. This means that there were 42 fewer students enrolled this year compared to last year. By subtracting the decrease from the total number of students last year, we get the new enrollment for this year, which is 280 - 42 = 238 students. This is the new number of students enrolled in the 7th grade class this year.

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Complete question:

15% of 280 students is 280 * 15% = 42 students

So the 7th grade class had 280 - 42 = 238 students enrolled this year.

A 95% confidence interval for the proportion of all the registered voters who will vote for trump is  (0.25, 0.34).

What is a random sample?

A simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.

Here, we have

Given, n = 400

x = 120

95% of confidence interval = z = 1.96

p = 120/400 = 0.3

Now by applying the confidence interval formula, we get

= 0.3 ± 1.96(√{0.3(1-0.3)}/400)

= 0.3 ± 0.0449

= (0.25, 0.34)

Hence,  a 95% confidence interval for the proportion of all the registered voters who will vote for trump is  (0.25, 0.34).

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The value of the expression (-2x + 10) - (-6x + 5y + 12) * (x + 8y - 16), when x = 5 and y = -4, is 1634.

Let's substitute the given values of x = 5 and y = -4 into the expression and evaluate it step by step:

(-2x + 10) - (-6x + 5y + 12) * (x + 8y - 16)

First, let's simplify the expression inside the parentheses:

(-2(5) + 10) - (-6(5) + 5(-4) + 12) * (5 + 8(-4) - 16)

Next, perform the calculations within the parentheses:

(-10 + 10) - (-30 - 20 + 12) * (5 - 32 - 16)

Simplifying further:

0 - (-38) * (-43)

Remember, when multiplying by a negative number, the sign of the product changes. So, -(-38) is equivalent to 38:

0 - 38 * (-43)

Now, perform the multiplication:

0 + 38 * 43

Finally, calculate the product:

0 + 1634

The final result is

1634

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a) (TRUE)

If b is a linear combination of the columns of the matrix A, then the linear system Ax = b has a unique solution.

b) (FALSE)

If {u, v, w} is linearly independent, then {u+w, v + w} is linearly independent.

c) (FALSE)

If V = span{V1, V2, V3} and dim(V) = 2, then {V2, V3} is a basis of V.

a) If b is a linear combination of the columns of matrix A, then the linear system Ax = b has a unique solution. This is (always) true because if b is a linear combination of the columns of matrix A, then it can be written as Ax.

Therefore, if A is invertible, then x = A^(-1)b is a unique solution to Ax = b.

b) If {u, v, w} is linearly independent, then {u+w, v+w} is linearly independent. This is (possibly) false because {u+w, v+w} is linearly dependent if u = -v = w.

Therefore, {u+w, v+w} is not linearly independent.

c) If V = span{V1, V2, V3} and dim(V) = 2, then {V2, V3} is a basis of V.

This is (possibly) false because {V2, V3} is a basis for V if and only if V2 and V3 are linearly independent and span(V).

However, dim(V) = 2 implies that V is a 2-dimensional subspace of R^3, so {V1, V2, V3} cannot be linearly independent.

Therefore, {V2, V3} is not necessarily a basis for V.

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Angle C is the biggest.

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

The correct order of the set of numbers from least to greatest is 2, 3 over 4, 2.71 repeating 71, 5 over 2, square root 5 option (D) is correct.

To order the given set of numbers from least to greatest, we need to compare their values. We start by noticing that 2 and 3 over 4 are equivalent to 2.75. Next, we compare the values of the remaining numbers. Since the square root of 5 is approximately 2.236 and 5 over 2 is equivalent to 2.5, we have:

2, 3 over 4 < 2.71 repeating 71 < 2.5 < square root 5

Therefore, the set of numbers in order from least to greatest is 2, 3 over 4, 2.71 repeating 71, 5 over 2, square root 5.

Ordering the set of numbers from least to greatest, we get:

2, 3 over 4, 2.71 repeating 71, square root 5, 5 over 2.

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The complete question is:

Order the set of numbers from least to greatest: (Group of answer choices)

A. 2.71 repeating 71, 2, and 3 over 4, square root 5, 5 over 2.

B. square root 5, 5 over 2, 2.71 repeating 71, 2 3 over 4

C. 5 over 2, square root 5, 2.71 repeating 71, 2 3 over 4

D. 2, 3 over 4, 2.71 repeating 71, 5 over 2, square root 5

Answer:

\(x = 4 \\ z = 106\)

Step-by-step explanation:

\((5x + 86) + (10x + 34) = 180 \\ 15x + 120 = 180 \\ 15x = 180 - 120 \\ 15x = 60 \\ \\ x = \frac{60}{15} \\ \\ x = 4\)

\((5x + 86) = 5(4) + 86 = 20 - 86 = 106\)

Z= 106 —> Opposite angles

I hope I helped you^_^

10 meters away is the bus from the bus stop after 10 seconds.

A series of integers in which the difference between succeeding words is always the same is referred to as an arithmetic sequence or arithmetic progression. For instance, the difference in the arithmetic series 1, 5, 9, 13, 17,... is always 4. The common difference is what we refer to as.

A bus moves away from bus stop in a straight line. After 1 second it was 10 meters away, after 2 seconds it was 20 meters and after 3 seconds it was 30 meters away.

In this way bus forms an arithmetic sequence

10, 20, 30, 40........up to 10 terms.

nth term of an arithmetic sequence is represented by

\(T_{n}\) = a+ (n - 1)d

Here a = 10 and d = common difference = 10

Therefore 10th term = 10 + (10-1)10

                                  = 10 + 90

                                  = 100

Therefore after 10 seconds bus will be 10 meters away from the bus stop.

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Answer:15/16 or 0.9375

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

Step 1:

Write the expression

Step 2:

To estimate the expression, first, round each to the nearest whole number.

Step 3:

Next, divide 24 by 8 to get the final answer.

Final answer

Option C

3

The statement "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g is false because, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

Random assignment in an RCT can help to reduce selection bias, but it does not guarantee the absence of coverage bias.

Coverage bias can occur if the participants who are enrolled in the trial do not represent the population to which the results will be generalized.

For example, if the trial only includes participants who are healthier or more compliant than the typical patient, the results may not be applicable to the broader population.

Therefore, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

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The area of the trapezoid is 322 Ft².

Given

The first base of the trapezoid is 11 feet.

The second base of the trapezoid is 35 feet.

And the height of the trapezoid is 14 feet.

The trapezoid is a gematrical shape that has four sides in which a pair of opposite sides must be parallel is called a trapezoid.

The area of the trapezoid is calculated by the following formula;

\(\rm Area \ of \ trapezoid=\dfrac{Base_1+Base_2}{2} \times height\)

Substitute all the values in the formula;

\(\rm Area \ of \ trapezoid=\dfrac{Base_1+Base_2}{2} \times height\\\\\rm Area \ of \ trapezoid=\dfrac{11+35}{2} \times 14\\\\\rm Area \ of \ trapezoid=\dfrac{46}{2} \times 14\\\\ Area \ of \ trapezoid=23 \times 14\\\\Area \ of \ trapezoid= 322\ Ft^2\)

Hence, the area of the trapezoid is 322 Ft².

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Answer:

QR is the longest segment.

Step-by-step explanation:

The longest side of a triangle is opposite to greatest angle.

m∠QSR = 75° ⇒ QR is the longest segment.

Answer:

1. 2m/2n

2. 3/q + 1

3. 9/3 - 1

Step-by-step explanation:

i think this is the ans