Catherine has $54. She plans to spend more than $20 on the money for a painting canvas. The rest will go toward paints . Each tube of paint cost eight. $50 assume the X represents the number of tubes of paint Catherine can buy

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Answer:

Hello! answer: x = 68

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees 90 - 22 = 68 therefore x = 68 HOPE THAT HELPS!

The ratio of the number of unshaded to shaded squares is 7 : 3.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

It is also defined as the fraction of one quantity with respect to other.

The ratio of a and b is denoted as a : b.

Given is a grid of squares which is given below.

Total number of squares = 10

Of that,

Number of shaded squares = 3

Number of unshaded squares = 7

We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.

Ratio of unshaded squares to shaded squares = 7 : 3

Hence 7 : 3 is the ratio of unshaded to shaded.

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Answer:

4 towels per basket

Step-by-step explanation:

The six different types of graphs are frequency distribution graphs, exponential graphs, logarithmic graphs, trigonometric graphs, and statistical graphs (such as bar, pie, and line graphs).

A vertical and horizontal line connect at the origin to form a simple two-dimensional graph. The x axis is horizontal, whereas the y axis is vertical. The x and y axes in basic line graphs are each subdivided into uniformly spaced subdivisions and given integer values.

There are eight primary types of graphs: linear, power, quadratic, polynomial, and they all aid in organising the presentation of data or information.

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Hector pays $406 for the phone after the 30% discount is applied.

Hector buys a new phone that costs $580, but it is on sale for 30% off. To calculate how much he pays after the discount, we need to find 30% of the original price, which represents the amount of money he saves.

To find 30% of the original price, we can multiply the original price by 0.3 (which is the decimal equivalent of 30%). This gives us the amount of money that Hector saves on the phone:

Savings = $580 x 0.3 = $174

Therefore, the discount on the phone is $174.

To calculate how much Hector pays after the discount, we need to subtract the discount from the original price:

Price after discount = Original price - Discount

Price after discount = $580 - $174 = $406

Therefore, Hector pays $406 for the phone after the 30% discount is applied.

It's important to note that this calculation assumes that there are no additional costs or taxes added to the discounted price of the phone. In practice, the final price that Hector pays may be slightly higher than $406 if there are additional costs or taxes added to the sale price.

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Answer:

-5

Step-by-step explanation:

Slope eq:

\(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

Take any two poins, say :

(-6,-4), (-5, -9)

slope =

\(\frac{-9 - (-4) }{-5 - (-6) }\\\\=\frac{-5 }{1}\\\\= -5\)

Step-by-step explanation:

all I know is the answer and it's c

Answer:

0.50 cents an apple

Step-by-step explanation:

Answer:

the answer is reflected over both axes hope this helped

Answer:

here (edit I made a mistake)

Step-by-step explanation:

9) \(y=\frac{3}{5} x +5\)

10) y = x - 3

11)  \(y=-\frac{3}{5} x - 3\)

12) \(y=\frac{5}{4} x + 2\)

these are the slop int forms, my bad...

sorry

Answer:

9) -3/5x + y = 5

10) -x + y = -3

11) 3/5x + y = -3

12) -5/4x + y = 2

Step-by-step explanation:

════════ ∘◦❁◦∘ ════════

════════════════════

x1 = 6

y1 = 2

x2 = (-6)

y2 = (-8)

════════════════════

Equation of the line (y = mx + c)

════════════════════

#First, you find the gradient (m)

\(m = \frac{y2 - y1}{x2 - x1} = \frac{(( - 8) - 2)}{(( - 6) - 6)} = \frac{( - 10)}{( - 12)} = \frac{5}{6} \)

#Now use the formula of equation of the line

y - y1 = m(x - x1)

y - 2 = ⅚(x - 6)

y - 2 = ⅚x - 5

y = ⅚x - 5+2

y = ⅚x - 3

════════════════════

The domain, range, relative maximum and minimum, the end behavior and the increasing as well as decreasing intervals are all represented below.

In the given function, we need to find the domain, range, relative maximum and minimum, the end behavior and the increasing as well as decreasing intervals.

The function;

f(x) = x⁴ - 4x³ + 3x² + 4x - 4

1. Domain: The domain of the function is all values along the x - axis

Domain = (-∞, ∞)

2. The range is the set of values that corresponds with the domain;

range : [(-9 + 6√3)/4, ∞)

3. The relative maximum of the function is; [(1 + √3)/2, - (9 - 6√3)/4]

4. The relative minimum of the function is  [(1 - √3)/2, - (9 - 6√3)/4]

5. The absolute minimum of the function does not exist

6. The end behavior of the function is "rises to the left and rises to the right"

7. The increasing and decreasing intervals are;  [(1 - √3)/2, (1 + √3)/2)], (2, ∞)

The decreasing interval is ;[-∞,  (1 - √3)/2],  [(1 + √3)/2, 2]

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Answer:

m = 3/4

Hope that helps!

The probability density of the sum of two independent random variables, each uniformly distributed over an interval, follows a triangular distribution. The shape of the triangle is determined by the intervals and can be calculated by convolving the individual probability density functions (PDFs).

In a triangular distribution, the probability density function (PDF) is a triangular-shaped curve. The PDF is highest at the midpoint of the interval and decreases linearly towards the endpoints. When adding two independent random variables, their probability densities convolve. In the case of two uniformly distributed variables, the resulting distribution is triangular. The shape of the triangle depends on the width and location of the intervals.

The PDF of the sum can be calculated by convolving the individual PDFs of the variables. This involves integrating the product of the two individual PDFs over their respective intervals. The resulting function will be a triangular distribution with modified parameters.

The mean and variance of the sum can also be calculated based on the parameters of the individual distributions. The mean of the sum is the sum of the individual means, and the variance of the sum is the sum of the individual variances.

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A: To make it more pumpkin-y, Pumpkin Puree or Pumpkin Spice. To make it less pumpkin-y, Banana, milk, or yogurt.

Answer:

Step-by-step explanation:

It will take approximately 36.0 minutes to build the nineteenth unit. (This is obtained by substituting x=19 into the function T(x) and rounding to the nearest tenth of a minute.)

We are given:

T(x) = 36 + ce^(-kx)

T(0) = 46 (time to build the first unit)

T(10) = 40 (time to build the tenth unit)

Plugging these values into the function, we get:

T(0) = 36 + ce^(-k0) = 36 + c = 46

T(10) = 36 + ce^(-k10) = 36 + ce^(-10k) = 40

Solving the first equation for c, we have:

36 + c = 46

c = 10

Substituting c = 10 into the second equation:

36 + 10e^(-10k) = 40

10e^(-10k) = 4

e^(-10k) = 0.4

Taking the natural logarithm of both sides:

-10k = ln(0.4)

k ≈ -0.916

Now, we can find the time to build the nineteenth unit:

T(19) = 36 + 10e^(-0.916*19)

≈ 36 + 10e^(-17.404)

≈ 36 + 10(0.00016059)

≈ 36 + 0.0016059

≈ 36.0016

Rounding to the nearest tenth of a minute, it will take approximately 36.0 minutes to build the nineteenth unit.

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The value cosθ is 0.707.

The value angle z is -45⁰, and 45⁰.

The value of angle θ  is 45⁰ and 315⁰.

The value cosθ, and angle Z is calculated by applying trigonometry ratio as follows;

for question 6,

tan θ = opposite side/adjacent

tan θ = 5/5

tan θ = 1

θ = 45⁰ = z

cos θ = 0.707

for question 7;

tan z = opp/adjacent

tan z = -5/5

tan z = -1

z = arc tan (-1)

z = -45⁰ =

The value of θ is calculated as;

θ = 360 - 45

θ = 315

cos (315) = 0.707

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Answer:

449 100

Step-by-step explanation:

0.2% × 450000÷ 100=900

450000-900= 449 100

Answer:

Step-by-step explanation:

The answer is 449100 pounds .

Answer:

Step-by-step explanation:

mean means to add them all up and divide by how many their are.

This fails to reject the null Hypothesis.

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

a recent survey reported that small businesses spend 24 hours a week marketing their business.

these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.

assuming that the population standard deviation is 6.1 hours.

z = x'- u / α(/√n) = (5.05-4.50/1.83/√38) = 1.85

Hence, This fails to reject the null Hypothesis.

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After 15 more years of contributions of $4,000 at the end of each quarter, the retirement account will be worth approximately $760,514.47.

To calculate this, we need to use the formula for the future value of a lump sum. A lump sum is a one-time payment made at the beginning or end of a specific period. In this case, we're looking at the future value of the retirement account after 15 more years of contributions.

Using the given information, we can plug in the values and solve for FV:

PV = $150,000

Pmt = $4,000

r = 10%

n = 4 (since interest is compounded quarterly)

t = 15 years

First, we need to calculate the future value of the current investment of $150,000:

FV1 = $150,000 x (1 + 0.1/4)⁴ ˣ ¹⁵ = $548,534.24

Then, we can calculate the future value of the quarterly contributions of $4,000 over 15 years:

FV2 = $4,000 x [(1 + 0.1/4)⁶⁰ - 1] / (0.1/4) = $211,980.23

Finally, we can add FV1 and FV2 to get the total future value of the retirement account after 15 more years:

Total FV = FV1 + FV2 = $548,534.24 + $211,980.23 = $760,514.47

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Answer:

False.

Step-by-step explanation:

The statement "(dbl num, 2)" does not correctly represent rounding the value of "dbl num" to two decimal places. The correct notation for rounding a number to two decimal places is typically represented as "round(dbl num, 2)" or "dbl num rounded to 2 decimal places."

:)