A pecan pie recipe calls for 3 1/2 cups of sugar for 16 servings. How manny cups of sugar are needed for 32 servings

Answer:

Step-by-step explanation:

a). Formula to be used,

   A = P(1 + i)ⁿ

       = 100(1 + 0.09)¹

       = $109

b). Formula to be used,

   A = [tex]P(1+\frac{i}{12})^{12n}[/tex]

       = [tex]100(1+\frac{0.09}{12})^{12\times 1}[/tex]

       = [tex]100(1+0.0075)^{12}[/tex]

       = 100 × 1.0938

       = $109.38

(c). Formula to be used,

     A = [tex]Pe^{i\times n}[/tex]

         = [tex]100e^{1\times 0.09}[/tex]

         = [tex]100(e)^{0.09}[/tex]

         = $109.42

654 over 3 = divide the both 654 and 3 by 3.

It will give you 218 over 1.

So the answer is 218.

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]

After solving we get value of y=-1

Now putting in eq(1) to get value of x

[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]

So, After solve the equations we get value of k=3

Answer:

X=+6

m angle ABD =62°

Step-by-step explanation:

3x-2=4x-8

3x-4x=-8+2

-x=-6

-x/-=-6/-

minus councils minus

+X=+6

2)

(3x-2)(4x-8)=90°

3x-2+4x-8=90°

X=6

3(6)-2+4(6)-8=90

18-2+20-8=90

re-arrange

18+20-10=90

38-10=90

28=90°

=90-28=62

m✓ABD=62°

PLEASE if am wrong anywhere I'll like a feeds back,but I hope you find this helpful

Answer:

f(x) = x³ - 2x² - x + 2

Step-by-step explanation:

Since, the graph attached has three zeros (x-intercepts) at x = -1, 1 and 2,

Equation of the given function will be,

f(x) = (x + 1)(x - 1)(x - 2)

By solving this equation,

f(x) = (x² - 1)(x - 2)

     = x²(x - 2) - 1(x - 2)

     = x³ - 2x² - x + 2

Therefore, answer  will be f(x) = x³ - 2x² - x + 2.

According to the given graph,

Three zeros,

The function will be:

→ [tex]f(x) = (x+1)(x-1)(x-2)[/tex]

By solving this, we get

          [tex]= (x^2-1)(x-2)[/tex]

          [tex]= x^2(x-2)-1(x-2)[/tex]

          [tex]= x^3-2x^2-x+2[/tex]

Thus the function above is right.

Learn more about cubic function here:

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Answer:

-72x + 10y

Step-by-step explanation:

First apply the Distributive Property of Multiplication:

-8(6x - 7y) becomes -48x + 7y and -(24x - 3y) becomes -24x + 3y.

Combining like terms, we get -72x + 10y

Answer:

-21x+53y

Step-by-step explanation:

learned it

The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

We have a graphical representation of two functions f(x) and g(x) and where they intersect.

We have to solve the equation f(x) = g(x)

The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.

In the question given - We have a straight line and a parabola -

Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).

Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

Alternative Method -

The general equation of straight line is : y = mx + c and that of parabola is : y = [tex]\sqrt{4ax}[/tex]

The solution can be calculated by equating both of the above expressions and solving them.

mx + c = [tex]\sqrt{4ax}[/tex]

To solve more questions on solving the equations, visit the link below -

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The percent of interest is he paying is,

⇒ R = 4.62%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.

Hence, Yearly payments to pay is,

⇒ 12 × 77

⇒ $924

Hence, We get;

⇒ Interest = PRT/ 100

⇒ 924 = 4000 × R × 5 / 100

⇒ 92400 / 20,000 = R

⇒ R = 4.62%

Thus, The percent of interest is he paying is,

⇒ R = 4.62%

Learn more about the percent visit:

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Answer:

Step-by-step explanation:

Note: the area of squares is 41 cm² but not 416 m², typo

Let the sides of squares be x and y

Based on given we have equations:

Simplify the first equation

Substitute x to solve for y:

Solving we get:

Then

Perimeter of each square is:

and

the answer is 0.74 not 0.074

Step-by-step explanation:

Answer:

This simply means that, on a scale of 1 - 100, there is a 20 percent chances that, when Aaron tunes into the radio frequencies in search of a station, he will be able to get one station playing a commercial at that particular time.

For example, at 11:00am each day, him tuning into his favorite radio station would be 20 percent possible to meet one playing a commercial.

Step-by-step explanation:

Using the concept of relative frequency, the interpretation is that over a large number of days, in around 20% of the times he tunes is his favorite station a commercial will be playing.

A similar problem is given at https://brainly.com/question/16967884

Answer:

The star

Step-by-step explanation:

It's the. star because the others are the same shape just put at a different angel. But the star is a completly different shape. hope this helped :)

Answer:

regular parabola but shifted up 3 on the y axis

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

Percent error = 25%

Step-by-step explanation:

Find:

Percent error

Given:

Weight of egg = 2 oz

Original value = 2.5 oz

Computation:

Percent error = [(Original value - Weight of egg) /  Weight of egg]100

Percent error = [(2.5 - 2) / 2]100

Percent error = 25%

Answer:

The slope of UV = 4

Step-by-step explanation:

Given the points

Finding the slope of UV

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:1\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-3\right)[/tex]

[tex]m=\frac{-3-1}{-2-\left(-1\right)}[/tex]

[tex]m=4[/tex]

Thus, the slope of UV = 4

Answer:

2nd one

Step-by-step explanation:

Answer:

f(7) = 11

Step-by-step explanation:

t = 7, so we can just plug in the value 7 for (t) in the given equation.

f(t) = 2t - 3

  f(7) = (2 × 7) - 3

  f(7) = 14 - 3

  f(7) = 11

Answer:

ok

Step-by-step explanation:

wheres the rest

Brand A: 32 Diapers, $8.99: about 28 cents per diaper

Brand B: 50 Diapers, $12.49: about 24 cents per diaper

You divide the amount of diapers by the money.

For example, 32 diapers/$8.99 equals about 28 cents per diaper and 50 diapers/$12.49 equals about 24 cents per diaper.

Brand B is the better deal since you save about 4 cents more.

Answer:

45

Step-by-step explanation:

Answer:

The length of the body is 45.

Step-by-step explanation:

The violin and bass have an equal ratio, to find the ratio find the two given lengths and divide them, 72 ÷ 24 = 3. So the ratio is 3:1. To find the body of the bass you just have to do 15 × 3. Which is 45.

Answer:

$159.92

Step-by-step explanation:

8x19.99=$159.92

3 goes 1, 4 goes 2, 1 goes 3 and 2 goes last

Answer:

another way to say dramatic flare is flamboyant which means to be loud and dramatic like saying the shirt with the parrots on it is very flamboyant

Step-by-step explanation: brainliest plz

Answer:

-2(-3n - 12)

Step-by-step explanation:

Answer and Step-by-step explanation: