At the beginning of the week, you have $1250.33 cents in your checking account. During the week you spend $184.59 on food, $645.50 on rent and $112.11 on clothing. You get paid $323.89 during this week. How much money will be in your bank account at the end of the week?

The percentage of the radioactive isotope left is 25.0000%.

The half life of a radioactive isotope is the time that will elapse before only half of the number of original isotopes will remain.

Now;

We are told that;

Half life (t1/2) = 55 days

Time taken (t) =  115 days

Ratio of isotope remaining = N/No

Thus;

N/No = (1/2)^t/t1/2

N/No = (1/2)^115/55

N/No = (1/2)^2

N/No =1/4

Hence, the percentage = 1/4 * 100/1 = 25.0000%

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Answer:

a) 0.2098

b) 0.036

c) 0.1866

d) 0.9849

Step-by-step explanation:

Image is color coordinated for each part below,

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Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.

2. The effect of a government price ceiling on gasoline of $2.50 a gallon is shown in the image attached. There is a binding at $2.00.  

3. As  price increases, demand also increases in times of gasoline because due to the war, Russia have refuse selling their oil and as such, this has lead to increase demand on the gasolines on ground.

A binding price ceiling is one that often takes place if the government are known to have set up a  standard price on a good or goods at a specific price that is below equilibrium.

Therefore, to the number one question, we respond Yes, to some extent President Biden is right in telling them to lower the price rate because due to the war, a lot of gas companies a using it as a yardstick to inflate their prices and sell above the normal rate they bought it and the oil firms needs to consider the times that people are too.

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Answer:

⅝8⅝

Step-by-step explanation:

I made this with love and everything in the world of 9⁴⅝

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above2[/tex]

                     We have the equation [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x-12=-18}}[/tex].

                     First we should add 12 to both sides of the equation.

                     [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x=-18+12}}[/tex]. Simplify

                    [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{4}x=-6}}[/tex].

                   This done, let's multiply the equation by 4. You'll see why

                   [tex]\large\boldsymbol{\sf{\displaystyle\frac{3}{\not4}x\times\not4=-6\times4}}[/tex]

                   Did you see how on the left, the 4's cancelled? That's

                   because dividing by 4 and then multiplying the same

                   number, or the result, by 4, are operations that undo each

                   other.

                   This being said, let's finish solving this equation in terms of x

                   [tex]\large\boldsymbol{\sf{3x=-24}}[/tex]. See how this works?

                  Now, remember that we ought to use inverse operations

                  to solve for x. These are operations that undo each other.

                  So if x is multiplied by 3, we should... divide by 3!

                  Also, please keep in mind that we can only divide the left side

                  by 3 if we divide the right side by 3.

                 [tex]\large\boldsymbol{\sf{\displaystyle\frac{3x}{3}=\displaystyle\frac{-24}{3}}}[/tex]. Once again the 3s on the left cancel, leaving

               x. Wait! Isn't that what we wanted? Yepp, sure!

               The right side is now -8. Thus,

               [tex]\large\boldsymbol{\sf{x=-8}}[/tex]

                 [tex]\orange\hspace{300pt}\above3[/tex]

The amount of energy absorbed by the pennies made up of copper is 146.25J

An equation is an expression that shows the relationship between two or more variables and numbers.

Amount of energy absorbed = mass * temperature change * specific heat capacity

Amount of energy absorbed = 25 * (38 - 23) * 0.39 = 146.25J

The amount of energy absorbed by the pennies made up of copper is 146.25J

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Answer:

f(x) = 800 - 75x

Step-by-step explanation:

Rachel took a loan of 800 dollars | Money Owed: f(x) = 800

She pays back 75 dollars a week <-> (x) | Money Owed: f(x) = 800 - 75x

Through proportionality theorem.

The z-score for a score of 107 is 1.6

The given parameters are:

The z-score is calculated using:

[tex]z = \frac{x -\bar x}{\sigma}[/tex]

So, we have:

[tex]z = \frac{107 -95}{7.5}[/tex]

Evaluate the difference

[tex]z = \frac{12}{7.5}[/tex]

Divide

z = 1.6

Hence, the z-score is 1.6

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Answer:

f(g(x)) = 50x² + 140x + 93

Step-by-step explanation:

f(g(x)) means that within the f(x) equation, you want to replace all of the x variables with the g(x) equation.

So,

f(g(x)) = 2 (5x+7)² -5

= 2 ( 25x²+ 70x + 49) - 5

= 50x² + 140x + 93

:)

The payment for the test based on the information about the insurance will be B. $1440.90.

The cost for the payment will be:

= Blood test expenses + Allergy test - MRI expenses

= $345.25 + $175.00 + $920.65

= $1440.90

Therefore, the payment for the test based on the information about the insurance will be $1440.90

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Answer:

Surface Area is equal to 160 cm²

here is your answer

The coefficient of determination is calculated as: 0.520.

The coefficient of determination = the square of the correlation coefficient.

Given the following:

Value of the linear correlation coefficient (r) = -0.721

Therefore, we would have:

The coefficient of determination = (-0.721)²

The coefficient of determination = 0.520

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The member equation which passes through the point (-2,-36) is y = 4 ( x-1)(x+5) .

Parabola is a U shaped figure , whose all points are at a fixed distanced from a point called as focus and a line called as Directrix.

It is given that

The zeroes of the parabola is 1,-5.

The equation of the parabola is given by

y = a( x - x')(x-x'')

y = a( x-1)( x+5)

This is the equation for the parent function for the parabola

The parabola passes through the point ( -2 , -36 )

-36 = a( -2 -1)(-2+5)

-36 = (-3) * (3) a

-36 = -9 a

a = 4

y = 4 ( x-1)(x+5)

The member equation which passes through the point (-2,-36) is y = 4 ( x-1)(x+5) .

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The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

                                                     ∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

        = 13!/5!.8!

        = 1287

12C₈ = 12!/(12₋8)! 8!

        = 12!/5! 8!

        = 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

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Answer:

-4(a + b = 6)

Step-by-step explanation:

When you multiply equation P by -4, you obtain -4a - 4b = -24. You can then add this equation to equation Q to eliminate the a term.

The y-intercept is 3.78.

We have given that,

[tex]\overline{x}=7.8 ,S_x=3.70,\\\overline{y}= 12.2,S_y=4.15\\r=0.964[/tex]

[tex]Slope=r \times\frac{S_y}{S_x} \\\\Slope=0.964\times \frac{4.15}{3.70}\\ Slope=1.08=\overline{y}-slope\:\times \overline{x}\ intercept\\=\overline{y}-slope\:\times \overline{x}\\=12.2-1.08(7.8)\\=3.78[/tex]

Therefore the y-intercept is 3.78.

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Answer:

year 7 mean: ≈7.714

year 8 mean: 14

Step-by-step explanation:

mean = sum / number of observations

number of observations = 5, as there are 5 bars for each year

year 7 is the bar on the left for each day

observations for year 7:

5, 8, 9, 13, 19 (left to right)

sum = 5 + 8 + 9 + 13 + 19 = 54 for year 7

mean for year 7 = 54 / 7 ≈ 7.714

observations for year 8 (left to right):

10, 11, 18, 12, 19

sum = 10 + 11 + 18 + 12 + 19  = 70

mean = 70 / 5 = 14

Answer:

x ≅ 0.477.

Step-by-step explanation:

You probably meant:

[tex]10^x = 3.[/tex]

If that is the case, then let's solve it:

[tex]10^x = 3\\\\log\,10^x=log\,3\\\\x = log\,3\\\\x = (approx.)\,\,0.477.[/tex]

Answer:

C.) cosZ=61/73

Step-by-step explanation:

I hope you got the answer

Answer: r - 10 = 51

Step-by-step explanation:

Answer:

95 is the correct answer

Step-by-step explanation:

The initial or beginning side is H.  Look on the protractor and you will see the top number is 55 degrees.  That is where we start.  Now, go to line E, that is where we end.  The top number is 150.  To find <HEK, we need to subtract 55 from 150 to get 95.

Answer: formula

AB= (-1- -3)+((3-1)

(-1+3 )^2+(3-1)^2

2^2+2^2

Sq rt of 8 is 2.83

length of AB is 2

BC= (-3- -1)^2 + (5-3)^2

-3+1 =-2^2+2^2=4+4=8

Sq rt of 8 is 2.828= 2.83

Step-by-step explanation:

Answer:

  6

Step-by-step explanation:

The equation of the line is written in the slope-intercept form:

  y = mx +b

where m is the slope and b is the y-intercept.

The given equation is ...

  y = 6x -9

Comparing this to the slope-intercept form, we see that ...

  m = 6

  b = -9

The slope of the line is m = 6.

Answer:

A

Step-by-step explanation:

Answer

You never add or subtract to get the slope. That makes C and D incorrect. B is the upside down of the answer.

Answer: the answer is A slope = rise / run

Answer:

70/45

Step-by-step explanation:

(-10/9) divided by (-5/7)  = (-10/9) / (-5/7)

dividing two fractions is the same as multiplying the top fraction by the reciprocal of the bottom one

top fraction = -10/9

bottom fraction = -5/7

reciprocal just means switching the numerator and denominator

reciprocal of bottom fraction = 7 / -5 = -7/5

thus,

(-10/9) / (-5/7) = (-10/9) * reciprocal of (-5/7) = (-10/9) * (-7/5) = 70/45

note that to multiply two fractions, you just multiply the numerators to get your new numerator and do the same thing with the denominators

Answer:

d

Step-by-step explanation:

Answer:

if this is for edge unity the answer is B

The data and assuming shows that the company that would give Donna a stable long-term investment is A. eye remember enterprises; the smaller deviation indicates that eye enterprises have less variability in its closing prices than masterful pocket watches.

It should be noted that the information given implies that Donna needs a stable long term investment.

In this case, it's appropriate that the company that has the less standard deviation should be chosen.

This illustrates that Perfect Plungers has less variability.

In conclusion, the correct option is A.

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Answer:

Good for him for buying a Jeep

Step-by-step explanation: