David is going to invest $290 and leave it in an account for 15 years.
Assuming the interest is compounded continuously, what interest rate,
to the nearest hundredth of a percent, would be required in order for
David to end up with $570?

Answer:

look at the picture i have sent

Answer:

36 - 4c and 2c + 2c - 18 - 18

Step-by-step explanation:

Add all of the 9's Up together and then add all the C's up together and you have your answer. for the second one, just take away half from one answer and make it 4 numbers.

The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

The five more known rotation rules are given as follows:

The original coordinates for this problem are given as follows:

A(0,0), B(5,2), C(5,-5), D(0,-3).

Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

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Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

Answer: 160

Step-by-step explanation: 20% of 160 is 32. 100% of 160 is 160, therefore 20 percent of 160 equals 32.

The number of 6-ounce servings Lloyd made is 4

The given parameters are:

Potatoes = 3 1/2 pounds

Butter = 4 ounces

Convert pounds to ounces

So, we have:

Potatoes = 3 1/2 * 6 ounces

Evaluate the product

Potatoes = 21 ounces

The total ounces is

Total = Potato + Butter

This gives

Total = 21 ounces + 4 ounces

Evaluate the sum

Total = 25 ounces

The number of 6-ounce servings Lloyd made is

Number = 25/6

Evaluate

Number = 4.17

Remove decimal

Number = 4

Hence, the number of 6-ounce servings Lloyd made is 4

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Answer:

433.68

Step-by-step explanation:

Answer:

433.68

Good Luck!!!

Answer:

1, 3, and 4

Step-by-step explanation:

Answer:

A, C, and D

Step-by-step explanation:

Hope this helps!

The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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Answer:

0.0221 cm/min

Step-by-step explanation:

Surface area of a snowball:

An snowball has a spherical format.

The surface area of an sphere is given by:

\(A = 4\pi r^2\)

In which r is the radius(half the diameter). So in function of the diameter, we have that:

\(A = 4\pi (\frac{d}{2})^2 = \pi d^2\)

Implicit derivative:

To solve this question, we need to find the implicit derivative of A in function of t.

The variables are A and d, so:

\(\frac{dA}{dt} = 8\pi d \frac{dd}{dt}\)

Its surface area decreases at a rate of 5 cm2/min

This means that \(\frac{dA}{dt} = -5\)

Find the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm

This is \(\frac{dd}{dt}\) when \(d = 9\). So

\(\frac{dA}{dt} = 8\pi d \frac{dd}{dt}\)

\(-5 = 8\pi*9 \frac{dd}{dt}\)

\(\frac{dd}{dt} = -\frac{5}{72\pi}\)

\(\frac{dd}{dt} = -0.0221\)

This means that the diameter decreases at a rate of 0.0221 cm/min when the diameter is 9 cm.

Answer:

Answer:

1) Already in scientific notation

2) 2 x 10^5

3) 3 x 10^5

4) 1.5 x 10^5

We have a segment AC, with the point B lying between A and C.

The ratio AB to BC is 5:6.

The coordinates for A and C are:

A=(2,-6)

C=(-4,2)

We can calculate the coordinates of B for each axis, using the ratio of 5:6.

We can do the same for the y-coordinates:

The coordinates of B are (-8/11, -26/11).

Answer:

its  b

Step-by-step explanation:

if you look at the chart

study=3

if it was 3% then it would smaller

but its 30% because it  is bigger than 3 %

therefore its b

your welcome

Main Answer: The total surface area of cylinder B is approximately 476.7  square units.

Supporting Question and Answer:

How is the surface area of a cylinder calculated?

The surface area of a cylinder is the sum of the areas of its curved surface and two circular bases. It can be calculated using the formula:

A = 2πrh + 2π\(r^{2}\)

where "r" is the radius of the circular base, "h" is the height of the cylinder, and π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14159.

The first term, 2πrh, represents the area of the curved surface of the cylinder, while the second term, 2π\(r^{2}\), represents the combined area of the top and bottom circular bases.

Body of the Solution: Let the height and radius of cylinder A be "h" and "r" respectively. Then, the height and radius of cylinder B are "2h" and "R" respectively, since cylinder B has twice the height of cylinder A but the same radius.

The total surface area of a cylinder is given by the formula:

Area = 2πrh + 2π\(r^{2}\)

For cylinder A, we know that the surface area is 180, so we can substitute the values and solve for "r" as follows:

180 = 2πrh + 2π\(r^{2}\)

90 = πrh + π\(r^{2}\)

We can rearrange this equation to solve for r:

r² + rh - 90/π=0

Using the quAdratic formula,we get:

r = (-h ± √((h)² + 4(90/π)))/2

r = -h/2 ± √(h² + 4(90/π))/2

Now we have an expression for r in terms of h . We can use this expression to find the radius of cylinder B, since we know that cylinder B has twice the height of cylinder A.

R = 2r= -h ± √(h² + 4(90/π))

We can use this expression to find the surface area of cylinder B:

Surface area of cylinder B = 2πR² + 2πR(2h)

Surface area of cylinder B= 2π( -h ± √(h² + 4(90/π)))² + 4πh( -h± √(h² + 4(90/π)))

We can use the value we found for 2h using the quadratic formula in the expression to get:

Surface area of cylinder B = 476.7 square units (rounded to one decimal place)

Therefore, the total surface area of cylinder B is approximately 476.7  square units.

Final Answer: Therefore, the total surface area of cylinder B is approximately 476.7  square units.

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The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

The limit of a function is the limit of a function as x tends to a value.

From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.

Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1

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Answer:

A - Rational

B - Not Rational

C - Not Rational

Hope this helps!

Step-by-step explanation:

Answer:

I think they are all irrational, but im not 100% sure

Step-by-step explanation:

Answer:

zbzbssjsbzbzbzvzvzvvzv zgo zzbbbsbhdbdidnzzzin dndndn ghdhdgvhhshr vd

Step-by-step explanation:

eeegdbdhbdbdbdbddbdbbdbdbbdbdbdn

djdjdndd

djdjdjdisj

Step-by-step explanation:

1. Find the gradient from the equation of the line

2. Find the new gradient by taking the negative inverse of the old gradient in 1

3. Find the equation of your new line using the new gradient from 2 and your point

Answer:

Slope is 8 here

Y= mx +c

And c= 8

Y = - 2x + 8

The correct options are:

B, D E

The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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The  BOD is the diameter of the circle, and angles AOB and COD are both 90 degrees. Also, AC and BC intersect at E, and angles AEB and CEB are both 45 degrees.

AC and BC intersect at E. This means that E is the point of intersection of two chords of the circle, AC and BC.
Now, we can use some important properties of circles to understand more about the diagram.
Firstly, we know that any angle subtended by an arc at the circumference of a circle is half the size of the angle subtended by the same arc at the center of the circle.

This is called the angle subtended by an arc theorem.
Using this theorem,

We can see that angle AOB is 180 degrees because BOD is the diameter of the circle and angle AOD subtends this arc.

Therefore,

The angle subtended by the same arc at the circumference, i.e., angle AOB, must be half of 180 degrees, which is 90 degrees.
Similarly,

We can see that angle COD is also 180 degrees because it subtends the same arc as angle AOD. Therefore, angle COB must also be 90 degrees.
Now, let's consider the point E. Since AC and BC intersect at E, we can see that angle AEB and angle CEB are opposite angles formed by the intersection of two lines.

We know that opposite angles are equal, so angle AEB must be equal to angle CEB.
Using the angle subtended by an arc theorem again, we can see that angle AOB and angle AEB subtend the same arc at the circumference.

Therefore, angle AEB must be half of angle AOB, which is 45 degrees.
The angle CEB is also 45 degrees.
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With given function s(t) = 14√(4t) + 14 for sales, it will take approximately 57 weeks for the product to sell 225 units.

What exactly is a function?

In mathematics, a function is a rule that maps one input to exactly one output. It is a relation between a set of inputs (the domain) and a set of possible outputs (the range) with the property that each input is related to exactly one output. For example, the function f(x) = x² is a rule that takes any input x and returns its square as the output. A function can be represented by a graph, an equation, a table, or a set of ordered pairs. Functions are used in many areas of mathematics and science to describe relationships between variables and make predictions.

Now,

We need to solve the equation s(t) = 225 for t:

s(t) = 14√(4t) + 14

225 = 14√(4t) + 14

Subtracting 14 from both sides, we get:

211 = 14√(4t)

Dividing both sides by 14, we get:

15.07 = √(4t)

Squaring both sides, we get:

227.28 = 4t

Dividing both sides by 4, we get:

56.82 = t

Rounding to the nearest whole number, we get:

t ≈ 57 weeks

Therefore, it will take approximately 57 weeks for the product to sell 225 units.

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The equation of line passing through (-4, -16) and (5, 2) are y = 2x – 8, y - 2 = 2(x - 5) and y + 16 = 2(x + 4)

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

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

The standard form for linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The equation of line passing through (5, 2) and (-4, -16) is:

y - 2 = [(-16-2)/(-4-5)](x - 5)

y - 2 = 2(x - 5)

y = 2x - 8

y + 16 = 2(x + 4)

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Answer:

tourist: 28%

non-tourist: 72%

Step-by-step explanation:

total: 50

tourists: 14

non-tourists:50 - 14 = 36

tourist percentage: 14/50 × 100% = 28%

non-tourist percentage: 36/50 × 100 = 72%

Answer:

91x-35 sorry couildnt graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Total no. of students =175

percent of students athletes who attend a preseason meeting =84

No. of students who attend the meeting

= 84% of 175

=147

Answer: 9.9 years

Step-by-step explanation:

We have an interest of 7.25%, compounded continuously, we can write this as:

P = A*e^(r*n)

where:

P is the total balance after n years.

A is the initial investment.

r is the ratio of increase, in the case of a continuous compound, this will be:

r = Ln(1 + 7.25%/100%) = Ln(1 + 0.0725) = 0.070

n is the time in years.

Then we want to have our initial investement doubled, this means:

P = 2*A

let's find n for this situation:

P = 2*A = A*e^(0.070*n)

     2 = e^(0.070*n)

Now we can apply the Ln() to both sides, remember that:

Ln(e^x) = x

Then:

 2 = e^(0.070*n)

Ln(2) = Ln(e^(0.070*n)) = 0.070*n

Ln(2)/0.070 = 9.9

So we need 9.9 years to double the initial investment.

Answer:

I'm sorry but I can't answer it because the factoring in the question can't be put together

Step-by-step explanation:

The groups have no common factor and can not be added up to form a multiplication.