Gail had $5,500 that she wants to put in a new savings account. She is considering two banks that are very similar. One difference she noticed are the interest rates

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 10, 3 ) and (x₂, y₂ ) = (2, - 3 )

m = [tex]\frac{-3-3}{2-(-10)}[/tex] = [tex]\frac{-6}{2+10}[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex]

$311.25 is the amount deducted from the monthly paycheck, if, the annual premium for the insurance is $12,450.00 and target offers their employees group health insurance and covers 70% of the cost.

First, find the amount that the employee contributes to the cost. it can be calculated by multiplying the annual premium by the percentage they pay

$12450.00 x 70%

= $12450 x 70/100

= $8715

Now, subtract the employee's contribution from the total to find the amount that is being taken out of their pay check

12450 - 8715 = - 3735

To find the amount deducted monthly, divide the difference amount  by 12

= $3735/12

= $311.25

The amount deducted from monthly paycheck is $311.25

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The simplification if the expression "9 × d x e × 6" involving whole number and variable is 54de

9 × d x e × 6

Given the task content, this implies multiplying of all variables and whole numbers in the expression in order to arrive at a common result.

9 × d x e × 6

= 54de

It is very possible to simplify a mathematical statement whether or not the variables are letters, numbers, numbers and letters, like terms and unlike terms. So from the simplification above, 9 × d x e × 6 gives 54de.

Therefore, the simplification if the expression "9 × d x e × 6" involving whole number and variable is 54de

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Answer:

0

Step-by-step explanation:

log b (3-3)

log b (0)

Answer:

mixed form: 1 131/140

decimal form: 1.93571

Answer:

first question is 18/14 simplify it's 9/7

Second question is 13/20

Step-by-step explanation:

Hope this helps

Answer: Subtract coefficients (5-3)

Step-by-step explanation:

5y^2-3y^2= 2y^2

Answer:

Price demand function

Step-by-step explanation:

The price demand function is the function in which there is a relationship between the demand and the price of the product

The Price demand function is

[tex]= Price \times demand[/tex]

[tex]= p \times x[/tex]

hence, the price demand function represents that there is a relationship that lies between the demand and the price

Answer:

I need points sorry wish I could help

Answer(4,-1)

Step-by-step explanation: Go on desmos graphing calculator next time. It will show you the answer.

The requried distance run and swam by the lifeguard is 100 - x. and √[x² + 80²] respectively.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The question seems to be incomplete, there must be a figure that illustrates the situation,

Since, as of the given data, he might run x distance less toward the east as of the 100 feet east, and than swim, the distance is given as,
= √[x² + 80²].

And the distance run  = 100 - x.

Thus, the requried distance run and swam by the lifeguard is 100 - x. and √[x² + 80²] respectively.

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Answer:

7.77

Step-by-step explanation:

9.37 - 1.60 = Difference

Difference = 7.77

Answer:

  1,120 dollars interest will be paid by Joe in 4 years

Step-by-step explanation:

   4,000 times 7 ( 0.07 ) is 280, and 280 times 4 is 1,120

Answer:

$125,500

Step-by-step explanation:

From the question we are given the following

Present amount = 10000

Inflation rate = 77%

Time = 15years

Using the simple interest method n

Get the inflation amount after 15years

SI = Principal × Rate ×Time/100

SI = 10000×77×15/100

SI = 100×77×15

SI= $115500

The amount after 15years = Present amount + interest

Amount after 15years = 10000+115500

Amount after 15years = $125500

Hence the required result is equal to $125,500

Answer:

48 and 2/5 converted into decimal form is 48.4

Answer:

[tex]48.4[/tex]

Step-by-step explanation:

[tex]48 \frac{2}{5} \\ \frac{242}{5} \frac{ \times 20}{ \times 20} = \frac{4840}{100} \\ = 48.4[/tex]

Answer:

  (b)  FG⊥HB and FG║DE

Step-by-step explanation:

You want to know two statements that correctly describe the diagram where HB crosses lines FG, DE, and AC.

Line HB is indicated as being perpendicular to lines FG and DE by the small square in the corner where the lines cross. It is true that ...

  FG⊥HB

Lines FG and DE are both perpendicular to line HB. LInes in a plane that are perpendicular to the same line are parallel to each other. It is true that ...

  FG║DE

Answer:

True  

Step-by-step explanation:

ight so lets say 3,4567

4 is the tenth 5 is the hundredth 6 is the thousandth and 7 is hundred thousandths

you first put the biggest number (4000) in the tenth place and you keep going up

The measure of angle 1 is 79°

Given:

Value of angle 1 = (6x + 25)

Value of angle 4 = (10x - 11)

Find:

The measure of angle 1

Computation:

In the absence of complete question,

Assume;

Angle 1 = Angle 4

So,

6x + 25 = 10x - 11

10x - 6x = 25 + 11

4x = 36

x = 36 / 4

Value of x = 9

By putting value of x in angle 1

Value of angle 1 = (6x + 25)

Value of angle 1 = 6(9) + 25

Value of angle 1 = 54 + 25

Value of angle 1 = 79

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Answer:

A. 210

Step-by-step explanation:

Please see the attached photos. Hope this helps :). A simpler approach is to think of the probability of the opposing happening, or not getting a number greater than 7 from either draw. I personally like this style of visualization though :)

Answer:

c, i just got it right on edge

Step-by-step explanation:

Answer:

5y-2=9

Step-by-step explanation:

Hopefully this helps :)

Answer:

Step-by-step explanation:

a(b+8)=

ab + 8a

B. Input 1 2 3 4 5 Output 4 10 16 22 28

C. Input 1 2 3 4 5 Output 4 12 20 28 36

D. Input 1 2 3 4 5 Output 4 16 64 256 1,024

are non -linear functions

What are non - linear functions ?

A function whose graph is not a line or part of a line. • Example: – As you inflate a balloon, its volume increases. The table below shows the increase in volume of a round balloon as its radius changes.

We look at different types of nonlinear functions, including quadratic functions, polynomials and rational, exponential and logarithmic functions, as well as some applications such as growth and decay and financial functions.

A.

Input 1 2 3 4 5

Output 4 8 12 16 20

Since , all varies as output = 4* input , it is a linear function

B.

Input 1 2 3 4 5

Output 4 10 16 22 28

Since , no relation therefore it is non -linear

C.

Input 1 2 3 4 5

Output 4 12 20 28 36

Since , no relation therefore it is non -linear

D.

Input 1 2 3 4 5

Output 4 16 64 256 1,024

Since , no relation therefore it is non -linear

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Answer:

1.97

Step-by-step explanation:

Following are the solution to the given points:

Assume A, P, and B is the masses of apples, pears, and basket, respectively.

[tex]\to W = 4A + 6P + B[/tex]

Calculating the mean of W:

[tex]\to \bold{W = E(W) }[/tex]

         [tex]\bold{= E(4A + 6P + B)} \\\\ \bold{= 4E(A) + 6E(P) + E(B)}\\\\\bold{= 4 \times 4.72 + 6 \times 5.41 + 13.52} \\\\ \bold{= 18.88 + 32.46 + 13.52} \\\\ \bold{= 64.86 }[/tex]

Calculating the variance of W:

[tex]\to \bold{W=Var(W)}\\\\[/tex]

         [tex]\bold{= Var(4A + 6P + B)}\\\\ \bold{= 42 Var(A) + 62 Var(P) + Var(B)}\\\\\bold{= 16 \times 0.22 + 36 \times 0.182 + 1.882}\\\\ \bold{= 3.52 + 6.552 + 1.882}\\\\ \bold{= 5.3408}[/tex]

Calculating the standard deviation of W:

[tex]\to \bold{W= \sqrt{5.3408}= 2.311017}[/tex]

The linear combination of Normal random variables is known to follow the normal distribution.

[tex]\to \bold{W \sim N(64.86 , 2.311017)}[/tex]

Calculating the Probability of the Total Weight is more difficult.[tex]\to \bold{67 = P(W > 67)}[/tex]  

         [tex]\bold{= P[ Z > \frac{(67 - 64.86)}{ 2.311017}]}\\\\\bold{= P[Z > 0.93]}\\\\\bold{= 0.1762}[/tex] (Using Standard Normal distribution)

Therefore, the final answer is "64.86, 2.311017, and 0.1762".

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Answer:

you do 761.52 times 15.

then 574.01 times 30

which ever number is lowest is the one where you save more money. e.g IF the 15 times 761.52 is lower then the 30 times 574.01 then you take them away from each other.The answer to that is how much ur saving.

Answer:

Please check the explanation.

Step-by-step explanation:

Let us consider

[tex]y = f(x)[/tex]

To find the area under the curve [tex]y = f(x)[/tex] between [tex]x = a[/tex] and [tex]x = b[/tex], all we need is to integrate [tex]y = f(x)[/tex] between the limits of [tex]a[/tex] and [tex]b[/tex].

For example, the area between the curve y = x² - 4 and the x-axis on an interval [2, -2] can be calculated as:

[tex]A=\int _a^b|f\left(x\right)|dx[/tex]

    = [tex]\int _{-2}^2\left|x^2-4\right|dx[/tex]

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

   [tex]=\int _{-2}^2x^2dx-\int _{-2}^24dx[/tex]

solving

[tex]\int _{-2}^2x^2dx[/tex]

[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]

   [tex]=\left[\frac{x^{2+1}}{2+1}\right]^2_{-2}[/tex]

    [tex]=\left[\frac{x^3}{3}\right]^2_{-2}[/tex]

computing the boundaries

     [tex]=\frac{16}{3}[/tex]

Thus,

[tex]\int _{-2}^2x^2dx=\frac{16}{3}[/tex]

similarly solving

[tex]\int _{-2}^24dx[/tex]

[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]

     [tex]=\left[4x\right]^2_{-2}[/tex]

computing the boundaries

      [tex]=16[/tex]

Thus,

[tex]\int _{-2}^24dx=16[/tex]

Therefore, the expression becomes

[tex]A=\int _a^b|f\left(x\right)|dx=\int _{-2}^2x^2dx-\int _{-2}^24dx[/tex]

  [tex]=\frac{16}{3}-16[/tex]

  [tex]=-\frac{32}{3}[/tex]

  [tex]=-10.67[/tex] square units

Thus, the area under a curve is -10.67 square units

The area is negative because it is below the x-axis. Please check the attached figure.

Answer:

Megavolt used a Systematic sampling method.

Step-by-step explanation:

From the information given:

For every 100th evil light bulbs tested, he starts with the 42nd. This implies that;

The first bulb tested is the 142nd bulb, the second bulb tested is the 242nd...

The sequence is as follows:

142nd, 242nd, 342nd, 442nd, 542nd, 642nd .... etc

From the starting point of manufacturing the evil light bulb, the sequence is derived from sampling where each nth unit is known to be a sample, and this is only feasible in systematic sampling.

Answer:

each mount she spins 15$

Step-by-step explanation:

Answer:

12 and 30

Step-by-step explanation:

6+6=12+6=24+6=30+6=36