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Financial Mathematics

Questions Attached

The area of the shaded part of the given figure is 60 square inches'

The given figure is made up of a rectangle and 2 similar triangles

Area of the shaded part = Area of rectangle + area of 2 triangles

From the figure

Area of rectangle = 12 * 4 = 48 square in

Area of one triangle = 0.5(6)(4) = 12 square in

Area  of the figure = 48 + 12

Area  of the figure = 60 square inches'

Hence the area of the shaded part is 60 square inches.

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Answer:

1 1/6 or 7/6

Step-by-step explanation:

Divide both 14 and 12 by 2

Answer:

I dont see any triangle but the sum of the interior angles of every triangle is 180

Step-by-step explanation:

<+<+<=180˚

Answer:

D

Step-by-step explanation:

Since EF is perpendicular to both AB and CD, that makes AB and CD parallel.

Answer: D

Answer:

(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this, [tex]\frac{C}{T} \frac{75}{0} \frac{195}{1} \frac{315}{2} \frac{435}{3} \frac{555}{4}[/tex], where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.

(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.

Answer:

x= -2

x= -3

x= 5

Step-by-step explanation:

There 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats.

We have to determine the number of grams of carbohydrates available in 2 1/4 cups of dry oats.

Let x grams of carbohydrates be available in 2 1/4 cups of dry oats.

As per the given information, we can write the ratio would be as:

27 grams of carbohydrates : 1/2 cup of dry oats = x grams of carbohydrates : 2 1/4  cup of dry oats

⇒ 27/ (1/2) = x/(2 1/4)

⇒ 27/ (1/2) = x/(9/4)

Reciprocal the term in the numerator,

⇒ 27 × 2 = x × 4/9

Apply the cross-multiplication operation,

⇒ x = 54 × 9/4

⇒ x = 121.50

Thus, there are 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.

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Answer:

x = 6 and y = 3

Step-by-step explanation:

Your equation: -2x-4y=-12

__________________________________________________

First, we'll solve for x.

You need to divide -2x on both sides.

**We'll exclude/forget the -4y since we're not dealing with it right now.

-2x = -12

x = 6

When dividing with negatives, if both of the numbers are negatives they shall cancel and become positive.

-12 divided by -2 is 6 positive.

Therefore, x = 6

_______________________________________________________

Next, we'll solve for y

The same thing as last, we'll exclude our -2x since we're not dealing with it anymore.

-4y = -12

-12 divided by -4 is a positive answer since the two negatives cancel out.

-12/ -4 = 3

Therefore, y = 3

________________________________________________________

The proper vocabulary of the "x" and the "y" are x-intercept and y-intercept.

We just solved for both.

Answer:

See below ↓↓

Step-by-step explanation:

1) 3a - 6

2) 1/2zfy10

Answer:

[tex]D)\frac{1}{m^{18} }[/tex]

Step-by-step explanation:

Multiply [tex]m^{-1}[/tex] by [tex]m^{5}[/tex] by adding the exponents.

Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.

[tex](\frac{m^{-1+5} }{m^{-2} } )^{-3} \\[/tex]

Add -1 and 5.

[tex](\frac{m^{4} }{m^{-2} } )^{-3}[/tex]

Move [tex]m^{-2}[/tex] to the numerator using the negative exponent rule [tex]\frac{1}{b^{-n} } =b^{n}[/tex].

[tex](m^{4} m^{2} )[/tex]

Multiply [tex]m^{4}[/tex] by [tex]m^{2}[/tex] by adding the exponents.

Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.

[tex](m^{4+2} )^{-3}[/tex]

Add 4 and 2.

[tex](m^{6} )^{-3}[/tex]

Multiply the exponents in [tex](m^6)^{-3}[/tex]

Apply the rule and multiply exponents, [tex](a^m)^n=a^{mn}[/tex].

[tex]m^{6*-3}[/tex]

Multiply 6 by -3.

[tex]m^{-18}[/tex]

Rewrite the expression using the negative exponent rule [tex]b^{-n} =\frac{1}{b^{n} }[/tex].

[tex]\frac{1}{m^{18} }[/tex]

Answer:

B. - 23 < -6

Step-by-step explanation:

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y = 6(x+1)^2-9\implies y = 6[x-(\stackrel{h}{-1})]^2\stackrel{k}{-9}\qquad \qquad \stackrel{vertex}{(-1~~,~~-9)}[/tex]

Answer:

Step-by-step explanation:

You can get 10 with a pair of dice with:
4 + 6, 6 + 4, 5 + 5

out of a possibile 36 results

There are 52 cards in a standard deck of cards. Reds make up half of them (hearts and diamonds) , meaning theres a 50/50 chance of pulling red

10/36 * 1/2 = 5/36 chance of throwing 10 + pulling red

Answer:

1.4. If you look at the image if it looks like yours then it’s number 4, 1.4.

Step-by-step explanation:

i hope that helps!!

Answer:

Wow thats hard

Step-by-step explanation:

though luck

Answer:

1 pound of peanuts cost 3 dollars

1 pound of wallnuts costs 2 dollars

Step-by-step explanation:

24/6=4

12/6=2

Answer:

182.0

Step-by-step explanation:

500 tan20

=181.98

=182.0(to nearest tenth)

Answer:

9

Step-by-step explanation:

Plug into Distance formula --> √(-3 - (-12))^2 + (8 - 8)^2

---> 9

Answer:

6.1÷100×3200

press that you will get your answer

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Area of circle :

[tex]\qquad \sf  \dashrightarrow \:\pi r {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \pi\times (3.5) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:12.25 \: \pi[/tex]

[tex]\qquad \sf  \dashrightarrow \:38.465 \: \: unit {}^{2} [/tex]

Answer:

38.465 units²

Step-by-step explanation:

The formula to find the area of a circle is πr². Simply substitute the radius in the formula to find the area.

Substituting the radius in the formula:

⇒ πr²

⇒ π(3.5)²                                                                        [Radius (r) = 3.5 units]

Evaluating the area:

⇒ π x 12.25

⇒ 3.14 x 12.25

⇒ 38.465 units²

Answer:

1/10 of the members

Step-by-step explanation:

first, see how much is between [tex]2\frac{1}{4}[/tex] and [tex]3[/tex]. you can only see one. then count the number of x's, that's the number of members, and your denominator.

Answer:

11 : 18

Step-by-step explanation:

to figure out number of female members (not neccessary to solve this problem)

18 members = male + female members

18 members = 11 members + female members

-11                      -11

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

7 members = female members

ratio of males to all club members

11 : 18

Answer:

1st one with triangles is not a good model of 3÷1/4

Answer:

Step-by-step explanation:

If you look at the triangles, the lines in them are NOT equal, and not split into fourths.

I really have no other explanation.

To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.

What is math average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics.

                 When calculating the average for a set of data, we first sum up all the values and divide the result by the total number of values.

Average = (sum of values) / (number of values)

The total of Laurence's marks on the first four biology exams can be calculated using the following formula

Sum of scores = 87 + 80 + 75 + 85

= 327

We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.

Therefore, We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.

Next score = (sum of all five scores) - (sum of first four scores)

= (85 x 5) - 327

= 25

Therefore, To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.

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Answer:

Step-by-step explanation:

When we add the two equaions, y will be cancelled becaue -2y + 2y = 0.

Thus we can find the value of x.

5x - 2y = 42 -----------(I)

-3x + 2y = -26   {Now add}

2x          = 16

         x = 16/2

        x = 8

Answer:

48 ≥ 4x + 2y

44 ≥ 2x + 2y

    First, we will look at assembling hours.

"The standard model requires 4 hours to assemble [and] the artisan model requires 2 hours to assemble"

    We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.

48 = 4x + 2y

    Lastly, they do not need to make that many, but they can so we will use greater than or equal to.

48 ≥ 4x + 2y

    Now let us look at finishing hours.

"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."

    We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.

44 = 2x + 2y

    Again, they do not need to make that many, but they can so we will use greater than or equal to.

44 ≥ 2x + 2y

Answer:

3/5

Step-by-step explanation:

7/5 / 7/3 = 3/5

Answer:

3/5

Step-by-step explanation:

First we make both fractions into improper fractions/top-heavy fractions:

1 2/5 = 7/5

2 1/3 = 7/3

Now we use the rule of KFC (keep flip change):

Keep the first fraction:

7/5

Change the sign to opposite:

÷ → ×

Flip the second fraction:

7/3 → 3/7

Now we multiply the fractions:

7/5× 3/7 = 7×3/5×7 =

21/35

Now we simplify this fraction to simplest terms:

Both the numerator and denominator can be divided by 7 :

3/5

So this is our final answer

Answer:

ans 19785.719

Step-by-step explanation:

formula πr^2