Suzanne is planning to invest $3000 in a certificate of deposit. How long does it take for the investment to grow to $4000 under the given conditions? (a) The certificate of deposit pays 5(1/2)% interest annually, compounded every month. (Round your answer to one decimal place.) (b) The certificate of deposit pays 3(7/8)% interest annually, compounded continuously. (Round your answer to one decimal place.)

Answer:

0 = 0 (infinite solutions)

Step-by-step explanation:

-2(x+ 3) = -2x - 6

Multiply -2 to x and 3

-2x -6 = -2x - 6

Add 2x on one side to get zero, and add 6 to the other side to get 0

0 = 0

There are infinite solutions

Given the points ( 8 , 5 ) and ( 4 , 4 )

The general slop-intercept form of the equation of the line is:

y = mx + c

where m is the slope and c is y-intercept

The slope will be calculated as following:

So, the equation of the line will be:

Using the one of the given points to find the value of c

Let , we will use the point ( 4 , 4 )

so, when x = 4 , y = 4

So, the slope - intercept equation of the line is:

a) The corresponding z-score is 0.5 and the direction is to the right.

b) The percentage of adult spiders that have carapace lengths exceeding 19 mm is 30.85%.

If the area under the standard normal curve that lies to the right of nothing is 50%, then the z-score corresponding to this area is 0.

To find the z-score and direction that corresponds to the percentage of adult spiders that have carapace lengths exceeding 19 mm, we need to determine the area under the standard normal curve to the right of 19 mm and then find the corresponding z-score using a standard normal distribution table or calculator.

Assuming a normal distribution of carapace lengths of adult spiders, we need to standardize the value of 19 mm by subtracting the mean and dividing by the standard deviation. If we assume that the mean carapace length of adult spiders is 18 mm with a standard deviation of 2 mm, we can calculate the z-score as follows

z = (19 - 18) / 2 = 0.5

This means that a carapace length of 19 mm is 0.5 standard deviations above the mean. To find the area under the standard normal curve to the right of 19 mm, we can use a standard normal distribution table or calculator, which gives us an area of 0.3085.

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The equation of the polar graph is r = 2 + 3cosθ

A polar graph is the pictorial representation of a polar curve

Since we have the polar graph shown in the figure, it is a polar graph in a ring, which is mostly below the horizontal axis with a depression. To determine which of the following equations represents the graph, we proceed as follows.

We know that this type of polar graph has the general equation r = a + bcosθ.

So, the only equation which satisfies this condition is r = 2 + 3cosθ.

So, the equation is r = 2 + 3cosθ

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Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(−∞,∞)

Set-Builder Notation:

{x|x∈R}

Step-by-step explanation:

The appropriate soil media depth for the green roof can be determined, taking into account the WQv requirement and the structural limitations of the rooftop.

a) The WQv represents the volume of water that needs to be managed to meet water quality regulations. To calculate the WQv, the 90% rainfall number (P = 1.2 in) is used. The WQv can be determined by multiplying the rainfall number by the surface area of the rooftop reserved for the green roof (30 ft x 100 ft x 0.4, considering 60% reserved for maintenance access and equipment).

b) The minimum soil media depth needed to meet the WQv can be calculated by dividing the WQv by the product of the soil media porosity (20%) and the drainage layer depth (2 in).

c) Finally, the soil media depth for the green roof design needs to be determined. It should not exceed the maximum allowed soil depth of 1 foot.

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Answer:

It is D

Step-by-step explanation:

Looking at the Graph the point is at 5-5i

the only polar form that solves to 5-5i is D.

Also I did it on Edge.. Good Luck!

The complex number z represented on the graph (5, -5) is given as 5√2[cos(-π/4) + isin(-π/4)] in polar form

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

Given the complex number z represented on the graph as (5, -5). Therefore:

r = √(5² + 5²) = 5√2

Ф = tan⁻¹(-5/5) = -π/4

The complex number z represented on the graph (5, -5) is given as 5√2[cos(-π/4) + isin(-π/4)] in polar form

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Answer:

a x b = ab, hope this helps

Answer:

7

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

98=90+8

14=10+4

90+10=100

8+4=12

100+12=112

Brainliest plzz

Answer:

Slope = 7

Y-intercept = 4

Step-by-step explanation:

the equation follows the formula of y=mx+b

m = slope

b = y-intercept

Answer:

slope = 7, y- intercept = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 7x + 4 ← is in slope- intercept form

with slope m = 7 and y- intercept c = 4

The graph shows that initially, at t = 0 s, the turtle is at x = 50.0 cm. As time progresses, the turtle moves to the right, and at t = 40 s, the turtle is at x = 30.0 cm.

To sketch the graph of x versus t for the given time interval, we need to plot the turtle's position at different times using the given equation. Let's break it down step by step:

Given:

x(t) = 50.0 cm + (2.00 cm/s)t - (0.0625 cm/s²)t²

First, let's find the position of the turtle at t = 0 s:

x(0) = 50.0 cm + (2.00 cm/s)(0) - (0.0625 cm/s²)(0)²

x(0) = 50.0 cm

So at t = 0 s, the turtle is at the position x = 50.0 cm.

Next, let's find the position of the turtle at t = 40 s:

x(40) = 50.0 cm + (2.00 cm/s)(40 s) - (0.0625 cm/s²)(40 s)²

x(40) = 50.0 cm + 80.0 cm - 100.0 cm

x(40) = 30.0 cm

So at t = 40 s, the turtle is at the position x = 30.0 cm.

Now, we can plot these points on the graph. The x-axis represents time (t) and the y-axis represents position (x). We'll use a scale of 1 cm = 1 unit on both axes for simplicity:

  |

50 |       *

  |

  |

  |

  |

  |

  |

30 | *

  |

  |_________________________

   0         20         40

The graph shows that initially, at t = 0 s, the turtle is at x = 50.0 cm. As time progresses, the turtle moves to the right, and at t = 40 s, the turtle is at x = 30.0 cm.

Please note that the above graph is a rough sketch, and the actual shape of the curve might vary depending on the specific values of the equation.

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In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Answer:

-3d = 43-10

-3d = 33

d = 33/-3

d = -11

Answer:

d = 11

Step-by-step explanation:

Simplifying

3d + 10 = 43

Reorder the terms:

10 + 3d = 43

Solving

10 + 3d = 43

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-10' to each side of the equation.

10 + -10 + 3d = 43 + -10

Combine like terms: 10 + -10 = 0

0 + 3d = 43 + -10

3d = 43 + -10

Combine like terms: 43 + -10 = 33

3d = 33

Divide each side by '3'.

d = 11

Simplifying

d = 11

Hope this helps!

According to the question, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

To estimate the percentage of people affected by the outbreak, we can use the following formula:

\(\[\text{Percentage} = \left(\frac{\text{Affected}}{\text{Total population}}\right) \times 100\]\)

Given that the number of affected people is 224,000 and the total population is 260,000,000, we can substitute these values into the formula:

\(\[\text{Percentage} = \left(\frac{224,000}{260,000,000}\right) \times 100\]\)

Calculating this expression, we find:

\(\[\text{Percentage} \approx 0.086 \%\]\)

Therefore, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

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Answer:

Step-by-step explanation:

2.00/5= 0.40 an orange

12*.40= $4.80

========================================================

Work Shown:

Their salaries are in ratio 5:9 which means

c/w = 5/9

9c = 5w

w = 9c/5

w = 1.8c

Whatever Charles is earning, multiply by 1.8 to find how much William makes. This is before the raise of RM 4200.

After the raise for each person, then,

Their new salaries form the ratio 22:27, so,

(c+4200)/(w+4200) = 22/27

(c+4200)/(1.8c+4200) = 22/27

27(c+4200) = 22(1.8c+4200)

27c+113400 = 39.6c+92400

27c-39.6c = 92400-113400

-12.6c = -21000

c = -21000/(-12.6)

c = 1666.66666666667

c = 1666.67

Before the raise, Charles has a salary of RM 1666.67

Before the raise, William has a salary of w = 1.8c = 1.8*1666.67 = 3,000.006 which rounds to RM 3000.01

Add on 4200 to find William's salary after the raise.

3000.01+4200 = 7200.01

Unfortunately this isn't listed among the answer choices, but 7199.97 is fairly close. There's probably rounding error somewhere in my steps, or perhaps your professor made a rounding error. I'm not entirely sure.

In any event, it appears your teacher intends the answer is choice C.

a)  The volume of paint left in the can is:

.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

b)  the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:

0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:

Volume = area * thickness

We want to solve for the thickness, so we rearrange the formula to get:

Thickness = Volume / area

The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:

0.003321 m^3

The area of the wall is given as:

13.7 m^2

So the thickness of the layer of wet paint is:

0.003321 m^3 / 13.7 m^2 = 0.000242 m

Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

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Answer:

  116 °F

Step-by-step explanation:

We presume the temperature of interest is ...

  (100 °F)×(1 +16%) = 116 °F

The highest recorded temperature in Indiana was 116 °F.

_____

Comment on the question

Temperature in degrees Fahrenheit is reported using an interval scale, not a ratio scale. The notion of a percentage change in temperature measured by such a scale makes no mathematical sense.

Yes, you can perform percentage-like operations on the numbers (which is what we did here), but the idea that 116 °F is a 16% higher temperature than 100 °F is complete nonsense. For such ratios to be meaningful, an absolute temperature scale is needed, such as the Kelvin or Rankine scales.

It gradually decreases as alcohol is metabolized. The function C(t)=0.135 t e^{-2.802 t}models the mean BAC measured in g/mL.

The maximum average BAC during 3 hours is 0.0001358 g/mL.

f(t) = α t e−βt --(1)

Let's rewrite this in a simple form:

f(t)= α eˡⁿ ᵗ e⁻βt = αe^(ln t −βt)

Since e^x is strictly increasing and it will be maximized exactly when its argument is maximized, so we can maximize instead:

g(t)=ln t −βt

differentiating with respect to t , and g'(t) = 0

g′(t)=1/t − β = 0

=> t =1/β

we have given a function

C(t)=0.135 t e⁻²·⁸⁰²ᵗ

if we compare it with (1) we get

β = 2.802, 0.135 = α

For it's maximized we need to check the second order condition, and that of g will differentiate again , g′′(t)= −1/t² < 0

We have to compute the derivative of C(t):

C′(t) = 0.135 t⋅(−2.802)e⁻²·⁸⁰²ᵗ + 1.35e⁻²·⁸⁰²ᵗ

For optimum at t₀ if C′(t₀)=0 and C′′(t₀)≠0. Here, we have

C′(t₀) = 0.135t₀⋅(−2.802)e⁻²·⁸⁰²ᵗ₀+ 0.135e⁻²·⁸⁰²ᵗ₀ =e⁻²·⁸⁰²ᵗ₀(−0.135* 2.802t₀+ 0.135)=0

It is clear that e⁻²·⁸⁰²ᵗ₀ not equal to zero for all t₀∈R, so that

=> −0.135* 2.802t₀+0.135=0

=> t₀ = 1/2.802 ≈0.36

let us consider t is in hours, so that it makes t₀ =0.36h≈21.41min. This is the only optimum and one should verify it is indeed a maximum, i.e. C′′(t₀)<0.

Now, easily compute the maximum average BAC, which is C(t₀)=C(0.36) = 0.135 (0.36)e⁻²·⁸⁰²⁽⁰·³⁶⁾

= 0.0486(0.3678) = 0.01787508

Hence, the maximum average BAC, is 0.017 g/dL.

Maximum average BAC during the first 3 hours,

t = 3 , C(t)=C(3) = 0.135 (3)e⁻²·⁸⁰²⁽³⁾ = 0.0001358 g/mL

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Answer:

-1/2+ 3/4

-1+3

2

2+4

6

:2/6

Answer:

-2x-2y=-8

-4x-8y=-20

From the 1st eqn

Dividing through by 2

you have

-x-y=-4

Multiply through by -(minus)

x+y=4

x=4-y

Substitute into eqn 2

-4x-8y=-20

-4(4-y)-8y=-20

-16 + 4y - 8y = -20

-4y = -20 +16

-4y = -4

y= 1

Substitute into any of the other eqn's to get x

x= 4-y

x= 4-1

x=3

Answer:

ans $48

Step-by-step explanation:

36$ with 25%off

so

$36*75%=48

To convert 1.2% to a decimal, divide 1.2 by 100, which gives the decimal value of 0.012.

Divide the percentage number by 100 to get the decimal equivalent.

So, to convert 1.2% to a decimal, we can divide 1.2 by 100:

1.2 / 100 = 0.012

Therefore, 1.2% as a decimal is 0.012.

In mathematics, percentages are a way to express a portion of a whole as a fraction of 100. For example, 10% means 10 parts out of 100, or 0.1 as a decimal. To convert a percentage to a decimal, we need to divide the percentage by 100.

In the case of 1.2%, we can simply divide 1.2 by 100 to convert it to a decimal. This gives us 0.012 as the decimal equivalent of 1.2%.

To use this decimal value in calculations, we can simply multiply it by another number. For example, if we want to calculate 1.2% of 500, we can multiply 0.012 (the decimal form of 1.2%) by 500 to get the answer:

0.012 * 500 = 6

Therefore, 1.2% of 500 is 6.

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The complete question is:

What is 1.2% as a decimal?

The formula for the function is f(x) = 0(x-9)(x-6) / (x-8) = 0. So the function is f(x) = 0.

The given function y = x² - 6x + 8 can be written as y = (x-2)(x-4)/(x-4). Simplifying the expression, we get y = x-2 for x ≠ 4 and y is undefined for x = 4. Hence, the graph has a hole at x = 4.

To find a possible formula for the rational function with the given properties, we can start by writing it in factored form as:

f(x) = A(x-9)(x-6) / (x-8)

where A is a constant that we need to determine. We know that the function has a horizontal asymptote of y = -5, which means that as x approaches positive or negative infinity, the function approaches -5. This means that the degree of the numerator and denominator must be the same, and the leading coefficient must be A. So we can set:

f(x) = A(x-9)(x-6) / (x-8) = (-5)x^n / x^n

where n is the degree of the polynomial. Multiplying both sides by x^n and simplifying, we get:

A(x-9)(x-6) = -5(x-8)^n

We know that the zeros are at x=9 and x=6, so we can substitute those values into the equation:

A(9-9)(6-6) = -5(8-8)^n

0 = 0

This doesn't give us any information about A, so we'll need to use the vertical asymptote. We know that the denominator of the function is zero at x=8, so we can substitute that value into the equation:

A(8-9)(8-6) = -5(8-8)^n

-A(1)(-2) = 0

2A = 0

A = 0

Now we can write the formula for the function:

f(x) = 0(x-9)(x-6) / (x-8) = 0

So the function is f(x) = 0.

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The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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Answer:

Step-by-step explanation:

y = 4x - 7

Slope of line is 4.

Slope of any parallel to line is also 4.

Point-slope equation for line of slope 4 through (-1,3):

y-3 = 4(x+1)

Answer:

(7,4)

Step-by-step explanation:

Midpoint Formula = \((x_{1} + x_{2}/2)=\) x coordinate of midpoint

same for y coordinate of midpoint

so

2=-3+x/2

4=-3+x

x=7

for y

5=6+y/2

10=6+y

y=4

therefore B(7,4)