7) At what interest rate would a deposit of $50,000 grow to $111,277 in 25 years with continuous compounding?
A) 3.2%
B) 6.2%
C) 1.2%
D) 4.2%

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Using a system of equations, 32 lbs of the $3.40/lb chocolate and 12.8 lbs of the $9.00/lb chocolate will be needed to obtain the desired mixture.

Let x be the amount of the $3.40/lb chocolate needed, and y be the amount of the $9.00/lb chocolate needed to make 44.8 lbs of a $5.00/lb mixture.

We can set up the following system of equations:

x + y = 44.8 (total amount of mixture)

3.4x + 9y = 5(44.8) (total cost of mixture)

Solving this system of equations, we get:

x = 32 lbs of the $3.40/lb chocolate

y = 12.8 lbs of the $9.00/lb chocolate

Therefore, to obtain the desired mixture, 32 lbs of the $3.40/lb chocolate and 12.8 lbs of the $9.00/lb chocolate will be needed.

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Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

       To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and  also apply the given  metamorphoses.  The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.  

First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4).  Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4).  Combining these  metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can  compass a many points and  also draw the graph by connecting them.

Let's start with the original graph of f( x) = | x| and apply the  metamorphoses

For f( x)  x = -3,-2,-1, 0, 1, 2, 3  

f( x) =  3, 2, 1, 0, 1, 2, 3  For

g( x) = - f( x 4)  x = -7,-6,-5,-4,-3,-2,-1  

g( x) = -3,-2,-1, 0,-1,-2,-3

conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

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Answer:

f(0)=2

f(3)=14

f(3)=14

Answer:

The first event is represented by a dot. From the dot, branches are drawn to represent all possible outcomes of the event. The probability of each outcome is written on its branch.

Step-by-step explanation:

Answer:

Yes 1.25 is closer to 1.04

Step-by-step explanation:

Hope this helps!

Answer:

1.25 is not closer to 1.04 because it's like, 1 dollar and 4 cents; compared to 1 dollar and 25 cents. Obviously 25 cents is more than 4 cents.

1.25 rounded:

1.30

1.04 rounded:

1.00

Answer:

what do you mean by land ?

The intensity of sound is proportional to the square of its amplitude.

Thus, if I9 and I8 are the intensities of sounds at 9 decibels and 8 decibels respectively, then:

I9/I8 = (10^(9/10))/(10^(8/10))

I9/I8 = 10^(0.1)

I9/I8 = 1.2589

Therefore, the relative intensity of 9 decibels is approximately 1.26 times higher than that of 8 decibels.

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

Answer:

3 3/4 cups of sugar per cup of salt

Step-by-step explanation:

To find the unit rate of salt to sugar in the recipe, we need to divide the number of cups of sugar by the number of cups of salt. In this case, the unit rate of salt to sugar is 1 1/4 cups of sugar divided by 1/3 of a cup of salt, which can be simplified to 3 3/4 cups of sugar per cup of salt.

Answer:

The unit rate of cups per teaspoon is 1 1/3

Step-by-step explanation:

-A recipe calls for 2 by 3 cup of sugar for every 1 by 2 teaspoon of vanilla.

Based on the above information, the calculation is as follows:

=(2/3)/(1/2)

=(2/3)/(1/2)

=(2/3)x(2/1)

=(2x2)/(3x1)

=(4/3)

= 1 1/3

Answer:

22!

Step-by-step explanation:

A complete graph with N vertices has (N-1)! Hamilton circuits. Half of the circuits are mirror images of the other half, so if you're looking for unique circuits, there are actually only half this many.

N = 23

Number of Hamilton circuits = (N-1)! = (23-1)! = 22!

Answer:

the missing length CA is 7x - 4.

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its sides. In this case, we are given that the perimeter of triangle ABC is 12x - 5, and we know the lengths of two sides, AB and BC. We can use this information to find the length of the third side, CA.

Perimeter of triangle ABC = AB + BC + CA

Substituting the given values, we get:

12x - 5 = (2x + 3) + (3x - 4) + CA

Simplifying the right-hand side, we get:

12x - 5 = 5x - 1 + CA

Adding 1 and subtracting 5x from both sides, we get:

CA = 7x - 4

Therefore, the missing length CA is 7x - 4.

The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

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The rectangular cake has the largest area, Molly should buy the rectangular cake to ensure that there is enough cake for all of her guests.

In mathematics, the area is a measurement of the amount of space inside a 2-dimensional shape or surface. It is usually measured in square units, such as square meters, square feet, or square centimeters. For example, the area of a rectangle is calculated by multiplying the length and width of the rectangle. The concept of area is important in many fields, including geometry, architecture, physics, and engineering.

To determine which cake is the largest, we need to compare their areas. The formula for the area of a rectangle is length x width, the formula for the area of a square is side x side, and the formula for the area of a circle is pi x radius².

For the rectangular cake, the area is:

11” x 14” = 154 square inches

For the square cake, the area is:

12” x 12” = 144 square inches

For the circular cake, the area is:

π(7”)²≈ 153.94 square inches

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\(\\\\\\x^2 -8x +16 = 0\\\\\implies x^2 - 2(4) + 4^2 =0\\\\\implies (x-4)^2 =0\\\\\implies x -4 =0\\\\\implies x =4\\\\\text{This equation has only one solution.}\)

Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

Answer: x=20

Step-by-step explanation:

The two angles are vertically opposite so they are equal to each other

7x-99=2x+1

5x=100

x=20

The slope of a line KH if H(-4, 2) and K(2, -2) is -2/3.

A mathematical word used to define a line's direction and steepness is its slope or gradient.

If a line is rising from left to right, it is growing. The slope is positive, or m>0

If a line decreases from left to right, it is said to be diminishing. The slope is negative, indicating that m < 0

A line has zero slopes if it is horizontal. This function is constant.

The slope of a line is y - y₁ = m(x - x₁)

Slope m = (y₂ - y₁)/(x₂ - x₁)

m = (- 2 - 2)/(2 + 4)

m = - 4/6

m = - 2/3

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y = 20x - 250

Answer:

B. 14,525

Step-by-step explanation:

If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:

$35 x 415 = $14,525

Therefore, the answer is B. $14,525.

what happen is there is a glitch probably

yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.

Answer:

-0.66666666666666666666666667=-0.667

Step-by-step explanation:

It's irrational. It means it goes on

So this answer would have been infinite if I put the whole number here!

Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

Answer:

is TURNS

Step-by-step explanation:

A figure but does not change its shape and size is Turns.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items.

A flip is a geometric movement that involves turning an object over in a straight line to create a mirror image. The distance between each point on an object and its corresponding point on the picture is equal. A reflection is another name for a flip.

Thus, thus required transformation is Turns.

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Answer: B

Step-by-step explanation:

Edge 2023

The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10

The third option is correct.

High price value: 115 shares * $105.19 per share = $12,084.85

Low price value: 115 shares * $103.25 per share = $11,858.75

High price value: 30 shares * $145.18 per share = $4,355.40

Low price value: 30 shares * $143.28 per share = $4,298.40

The overall value at high price:

$12,084.85 + $4,355.40

= $16,440.25

The overall value at low price:

$11,858.75 + $4,298.40

= $16,157.15

In conclusion, the difference in overall gain or loss:

$16,440.25 - $16,157.15 = $280.10

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The equation is rewritten in slope-intercept form as y = -3x + 5.

Slope = -3; y-intercept = 5.

The equation of any given line, when written in the slope-intercept form is expressed as y = mx + b, where:

Given the equation in standard form as 6x + 2y = 10, rewrite the equation in slope-intercept form as explained in the steps below:

6x + 2y = 10

2y = -6x + 10 [subtraction property of equality]

Divide both sides by 2

2y/2 = -6x/2 + 10/2

y = -3x + 5

The equation is y = -3x + 5, Destinee didn't rewrite the equation correctly because he subtracted 2y from both sides rather.

The slope of y = -3x + 5 is -3.

The y-intercept of the equation is 5.

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Answer:

Hint: everything in that big [] is to the power of zero. anything to the power of zero is one. so

1+(6-8)=?

Answer:

Step-by-step explanation:

Area of ΔABC is:

We have:

Find CD using Pythagorean:

Find DB using the following identity, coming from ratios of corresponding sides of similar triangles:

Find AB:

Find the area of ΔABC: