Michael wants to buy some new exercise equipment for his home gym for $363,000 financed at an annual interest rate of 15% using the add-on method. If Michael wants to pay off the loan in years, what will be his monthly payment?

If values prοvided then transfοrmatiοn οf vectοrs can be determined.

In mathematics, a vectοr is a mathematical οbject that represents a quantity with bοth a magnitude and a directiοn. Vectοrs can be used tο represent physical quantities such as velοcity, fοrce, and acceleratiοn, as well as mοre abstract cοncepts such as cοlοr, sοund, and temperature.

Withοut seeing the figure οr the values οf a1, a2, and a3, it is nοt pοssible tο determine whether the specified linear transfοrmatiοn T : R2 → R2 is οne-tο-οne and οntο.

Hοwever, in general:

A linear transfοrmatiοn T : Rn → Rm is οne-tο-οne if and οnly if its kernel (i.e., the set οf vectοrs that are mapped tο the zerο vectοr) is trivial, meaning that the οnly vectοr that maps tο the zerο vectοr is the zerο vectοr itself.

A linear transfοrmatiοn T : Rn → Rm is οntο if and οnly if its range (i.e., the set οf all vectοrs that can be οbtained by applying T tο sοme vectοr in Rn) is equal tο Rm.

Tο determine whether a linear transfοrmatiοn is οne-tο-οne οr οntο, we can examine its prοperties and characteristics, such as its kernel, range, rank, and determinant. We can alsο use geοmetric intuitiοn and visualizatiοn tο understand hοw the transfοrmatiοn maps pοints and vectοrs in Rn tο Rm.

If yοu prοvide mοre infοrmatiοn abοut the values οf a1, a2, and a3 and the figure that shοws the standard matrix A, it can help yοu determine whether the transfοrmatiοn is οne-tο-οne and οntο and draw the image οf the vectοr [-1, 1] under the transfοrmatiοn T.

Therefοre, if values prοvided then transfοrmatiοn οf vectοrs can be determined.

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Complete question -

In Exercises 33–36, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1

Answer:

Step-by-step explanation:

Answer:

See explanations below

Step-by-step explanation:

What the step for answer

Given the nth terms of as sequence expressed as

Sins a ≥ 3, we can find the third term of the sequence

an  = 2an-1 + an-2 - 2an-3

If a1 = 6 and a2 = 0 and a0 = 3

a3 = 2a2 + a1 - 2a0

a3 = 2(0) + 6 - 2(3)

a3 = 0 + 6 - 6

a3  = 0

If n = 4

a4 = 2a3 + a2 - 2a1

a4 = 2(0) + 0 - 2(6)

a4 = 0 + 0 - 12

a4  = -12

Answer:

Number of hours worked overtime = 5.5 hours

overtime rate = $17.925 per hour

overtime pay = $98.59

Step-by-step explanation:

a. Her overtime hours are the number of hours worked over 40 hours, and we are told that she worked 45 1/2 hours last week.

Therefore, her overtime hours = 45.5 - 40 = 5.5 hours

b. overtime rate:

for her overtime rate, we are given that she has a time-and-a-half pay for her overtime hours. This means that she is paid 1.5 times the normal rate for working overtime.

∴ overtime rate = 1.5 × normal rate

overtime rate = 1.5 × 11.95/hour

overtime rate = $17.925/hour

c. overtime pay:

overtime pay = overtime rate × overtime hours worked

overtime pay = 17.925 × 5.5

overtime pay = $98.59

Answer:

its to find the quotient, start by dividing 25 into 1658

Step-by-step explanation:

for the following question its 66.32 and 66 8/25 (hope this helps bud)

Answer:

C. 86.^6

Step-by-step explanation: That the answer or whateva

Answer:

Step-by-step explanation:

Translate the given into two pairs of coordinates:

Work out the equation of the line passing through both of the points.

Find the slope:

Find the y-intercept:

The line is:

Find the value of y when x = 1500:

\(0.375\) ✅

Step-by-step explanation:

\( - 1 \frac{7}{8} + 2 \frac{1}{4} \\ = - \frac{15}{8} + \frac{9}{4} \\ = - \frac{15}{8} + \frac{9 \times 2}{4 \times 2} \\ = \frac{ - 15 + 18}{8} \\ = \frac{3}{8} \\ = 0.375\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}\)

Answer:

Step-by-step explanation:

We must simplify and rearrange the variables to divide x in order to determine the comparable inequality to the supplied inequality, -4(x + 7) 3(x - 2).

Below are the steps to solve the problem:

-4(x + 7) < 3(x - 2)

Expanding the equation:

-4x-28<3x-6

Gather the variable term on one side and constants on the other:

Adding -4x and 28 on both sides:

-4x + 4x - 28 + 28 < 3x + 4x - 6 + 28

=>0 < 7x + 22

To make the coefficient of x positive, we divide the entire inequality by 7:

0/7 < (7x + 22)/7

=> 0 < x + 22/7

Answer:

36,150.24

Step-by-step explanation:

$43036- 16%

Answer:

$36,150.24

Step-by-step explanation:

The salary of Job A is 100% of itself since 100% means a whole thing.

The salary of Job B is 16% less than the salary of Job A.

100% - 16% = 84%

That means that the salary of Job B is 84% of the salary of Job A.

We need to find 84% of $43036.

84% of $43036 =

= 0.84 * $43036

= $36,150.24

Answer:

f(6) = 21

Step-by-step explanation:

f(6) = 3x + 3

f6) = 3(6) + 3

f(6) = 18 + 3

f(6) = 21

Given data:

The numbers -4.7 and 8 are proportional to the numbers -9.5 and k

So, we write it as

Thus, the value of k is 16.

Answer:

Sylvia's total cost=$2.79*8

=$22.32

Step-by-step explanation:

Answer:

its A

PLS MARK AS BRAINLESS I MEAN BRAINLIEST :)

Step-by-step explanation:

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Answer:

392

Step-by-step explanation:

7(8) + 3(8)(14)

56 + 336

=392

*Brackets mean to multiply.

Answer:

(-0.481 , -0.144)

Step-by-step explanation:

Confidence Interval for difference is proportion formula is given as:

p1 - p2 ± z ×√[p1(1 - p1)/n1 +p2 (1 - p2)/n2]

For p1

Of the 96 people surveyed in the eastern half of a country, 42 said they fly to visit family members for the winter holidays.

n1 = 96 people

p1 = x/n

x = 42 people

p1 = 42/96

= 0.4375

1 - p1 = 0.5625

For p2

Of the 108 people surveyed in the western half of the country, 81 said they fly to visit family members for the winter holidays.

n2 = 108 people

p2 = x/n

x = 81 people

p2 = 81/108

= 0.75

1 - p2 = 0.25

99% confidence interval = 2.576

p1 - p2 ± z ×√[p1(1 - p1)/n1 +p2 (1 - p2)/n2]

= 0.4375 - 0.75 ± 2.576 ×√[0.4375(1 -0.4375)/96 +0.75 (1 - 0.75)/108]

= -0.3125 ± 2.576 × √0.4375× 0.5625/96 + 0.75 × 0.25 /108

= -0.3125 ± 2.576 × √0.0025634766 + 0.0017361111

= -0.3125 ± 2.576 × √0.0042995877

= -0.3125 ±2.576 × 0.0655712414

= -0.3125 ± 0.1689115178464

Confidence Interval

-0.3125 - 0.1689115178464

= -0.4814115178

Approximately to 3 decimal places = -0.481

= -0.3125 + 0.1689115178464

= -0.1435884822

Approximately to 3 decimal places = -0.144

Therefore, the 99% confidence interval for difference in proportion = (-0.481 , -0.144)

The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Answer:200

Step-by-step explanation:

100 x 2

the cube of it is five my five by four and you'll get your answer

Answer:

1000

Step-by-step explanation:

=> \(\frac{1}{10^{-3}}\)

According to the law of exponents, \(\frac{1}{a^{-m}} = a^{m}\)

So, it becomes

=> \(10^{3}\)

=> 1000

The exponent property that justifies why ten to the one third power equals the cube root of ten is:

ten to the one third power all raised to the third power equals ten to the one third times three power equals ten.

The exponent property using in this problem is the power of power rule, which states that when a term is elevated to a power, and this power is elevated to another power, then the powers are multiplied.

Hence, considering the expression in this problem:

((10)^(1/3))^3

We have that:

Then the multiplication of the exponents is given as follows:

1/3 x 3 = 1.

And the result is:

10^1 = 10.

Since the number 10^(1/3) elevated to the cube has a result 10, the number is equivalent to the cube root of 10, giving the correct expression.

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Option (1) and (3) follows the divisibility rule.

          109

(1)   4 \(\sqrt{436}\)

          -4    

            036

             - 36

                 0

As the remainder is zero , it is divisible .

(2)             21

        12\(\sqrt{263}\)

            - 24  

                 23

                - 12

                   11

As the remainder is 11 , it is not divisible .

(3)             291

           8\(\sqrt{2328}\)

             -16  

                72

              - 72    

                   08

                    - 8

                     0

As the remainder is 0 , it is divisible .

(4)           86    

        4\(\sqrt{346}\)

            -32  

                26

               - 24

                   2

As the remainder is 2 , it is not divisible

(5)           1

        11\(\sqrt{114}\)

            - 11  

                 4

As the remainder is 4 , it is not divisible

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Answer:

3rd quadrant

Step-by-step explanation:

Given:

Point (-2, -9)

Computation:

In 1st quadrant (+ , +)

In 2nd quadrant (- , +)

In 3rd quadrant (- , -)

In 4th quadrant (+ , -)

So given point (-2, -9) is in 3rd quadrant.

Answer:

Yes

Step-by-step explanation:

It is gapless and is connected on all sides.

Hope I helped! If I am correct please mark brainleist! :)

Answer:

IT IS THE FIRST ONE 100%

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-3 + -9 = 12

hope this helps

Answer:

-12

Step-by-step explanation:

-3 + -9

turns into

-3 - 9

Which means on the number line, we start at -3 and move to the left 9 units.

When we move to left on the number line by 9, we are at -12.

Which means -3 - 9 (-3 + -9) = -12

Answer:

no

Step-by-step explanation:

equate the two equations (make them equal to each other)

-2/5x - 7 = 2/5x - 3

get rid of the fractions by multiplying everything by 5

5(-2/5x - 7 = 2/5x - 3)

-2x - 35 = 2x - 15

solve

-2x - 35 = 2x - 15

-2x - 2x = -15 + 35

-4x = 20

x = -5

plug in "x" to one of the starting equations (I'm using the second one)

y = 2(-5) - 15

y = -10 - 15

y = -25

an easier way would be to plug in the point for "x" and "y"

-5 = 2(-5) - 15

-5 = -10 - 15

-5 = -25            FALSE

Answer:

Quadrilaterals

Step-by-step explanation:

1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

1/2 =    /6 =   /8.

a. Multiply numerator and denominator by 3 for equivalenting the equation    /6

Therefore,

3*3/6*3

=9/18

=1/2

therefore:1/2=1/2.

b. Multiply numerator by 4

Therefore,

4/8

=1/2.

Therefore:

1/2=1/2.

1/2=1/2=1/2.

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Answer:

State City ZIP Code(s)

Arizona (AZ) Phoenix 85001 thru 85055

Arkansas (AR) Little Rock 72201 thru 72217

California (CA) Sacramento Los Angeles Beverly Hills 94203 thru 94209 90001 thru 90089 90209 thru 90213

Colorado (CO) Denver 80201 thru 80239

Step-by-step explanation:

Hope This Helps!!!!!!!