Avery invested $6000 in a simple interest bearing account at a yearly rate of 3% . he earned $900 interest. for how many years was the money invested ?

a) 4
B)5
c)8
d)10

Answer:

24x+48

Step-by-step explanation:

(3x+6)(8)

=8(3x+6)

=(8*3x)+(8*6)

=24x+48

Answer: 24x + 48

Step-by-step explanation:

The formula to find the are of a rectangle is A=LW. A being the total area, W being the width, or the value on the bottom (8), and L being length how tall the object is (3x+6).

First you must replace L and W, for their given values.

A= (L) (W)

A= (3x+6) (8)

Then, simply simplify by multiplying 3x+6 by 8

You would end up getting 24x + 48

Answer:

Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).

Step-by-step explanation:

The direct variation equation for the line passing through the points A(4,−2) and B(10,−5) as given in the task content is; y = -2x.

It follows from the task content that the direct variation of equation of the two points given be determined.

On this note, since the relation is said to be a direct variation.

It follows that the ratio of inputs to output in both ordered pairs, k is same and can be determined as;

10/-5 = 4/-2 = k = -2.

Therefore, the required direct variation equation is written as;

y = -2x.

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The balance after 3 years with daily compounding at an APR of 3% is $23,284.94.

To calculate the balance after 3 years with daily compounding, we need to use the formula for compound interest,

A = P(1 + r/n)^(nt)

Where,

A = the balance after 3 years

P = the initial investment, which is $21,000 in this case

r = the annual percentage rate, which is 3%

n = the number of times the interest is compounded per year. In this case, since it's daily compounding, n = 365 (the number of days in a year).

t = the number of years, which is 3 years.

Substituting the given values in the formula, we get

A = 21000(1 + 0.03/365)^(365×3)

A = $23,284.94

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Answer:

B) 50

Step-by-step explanation:

<b = x

All angles in a triangle add up to 180 so:

x + 90 + 40 = 180

x + 130 = 180

x = 180 - 130

x = 50

Answer:

I think its 60

Step-by-step explanation:

I hope i did good! Hopefully i helped!

Answer:

Option A

Step-by-step explanation:

Given data

We are told that the weight of the rabbit is 2.8 kilograms

We also want to convert from kilograms to grams

We  know that 1kg= 1000 grams

            Hence 2.8 kg= x gram

Cross multiply

x= 2.8*1000

x= 2800 grams

Hence the weight in grams is 2800grams

Option A is correct

Answer:

it is A

Step-by-step explanation:

2,800

Answer:

child tickets: 115

adult tickets: 175

Step-by-step explanation:

number of child tickets = x

number of adult tickets = y

(value of child ticket [8] * number of child tickets [x]) + (value of adult ticket [8.5] * number of adult ticket [y]) = total value (2407.50)

8x + 8.5y= 2407.50

290 (total number of tickets) = x (number of child tickets) + y (number of adult tickets)

290 = x+y

system of equations: 8x + 8.5y= 2407.50

290 = x + y

solve equation:

x = 115

y = 175

The lack of calcium lines indicates that the star's outer atmosphere is not dense enough to produce observable absorption lines.

Calcium lines are dark absorption lines in the spectrum of a star or other astronomical object that are produced by the absorption of specific wavelengths of light by calcium atoms in the object's outer atmosphere.

If a star lacks calcium lines in its spectrum, it is likely to be a relatively young and hot star, with a surface temperature above about 7,000 K. This is because the calcium lines that are typically observed in the spectra of cooler stars are formed in the star's outer atmosphere, which is cooler and more diffuse than the layers closer to the star's core.

The absence of calcium lines in the spectrum of a star suggests that its outer atmosphere is relatively thin or transparent, and that the star's light is not passing through enough calcium-rich material to produce observable absorption lines.

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Answer:

x = 18 cm

Step-by-step explanation:

(4x)^2 = 3(4x)(x+6)

16x^2=3(4x)(x+6)

divide both sides by 4x

4x = 3(x+6)

4x=3x+18

x = 18

The area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.

To find the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9), we can follow these steps:

1. Calculate the vectors PQ and PR by subtracting the coordinates of P from Q and R, respectively.
2. Find the cross product of PQ and PR.
3. Calculate the magnitude of the cross product.
4. Divide the magnitude by 2 to find the area of the triangle.

Step 1: Calculate PQ and PR
PQ = Q - P = (-4 - 1, -3 - 1, -6 - 1) = (-5, -4, -7)
PR = R - P = (6 - 1, 10 - 1, -9 - 1) = (5, 9, -10)

Step 2: Find the cross product of PQ and PR
PQ x PR = ( (-4 * -10) - (-7 * 9), (-7 * 5) - (-10 * -5), (-5 * 9) - (-4 * 5) ) = ( 36 + 63, 35 - 50, -45 + 20 ) = (99, -15, -25)

Step 3: Calculate the magnitude of the cross product
|PQ x PR| = sqrt( (99)^2 + (-15)^2 + (-25)^2 ) = sqrt( 9801 + 225 + 625 ) = sqrt(10651)

Step 4: Divide the magnitude by 2 to find the area of the triangle
Area = 0.5 * |PQ x PR| = 0.5 * sqrt(10651) ≈ 51.61

So, the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.

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Answer:

Option "B" is the correct answer to the following question.

Step-by-step explanation:

The horizontal asymptote y = 11.95 reflects a cost each person reaching $11.95 because as number of individuals rises.

Horizontal asymptotic y = $11.95

Cost per person approaches = $11.95 per person increase

Answer:

B) The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

Step-by-step explanation:

Edge 2020

Answer:

\(\frac{3}{4}\)  tablespoons per cup

Step-by-step explanation:

[1] Create an equation:

\(\frac{\frac{1}{2}salt }{\frac{2}{3}cup }=\frac{x. tabelspoons}{1 cup}\)

[2] Cross multiply

\(\frac{1}{2}salt=\frac{2}{3}x.tablespoons\)

[3] Divide both sides by \(\frac{2}{3}\)

\(\frac{3}{4}\) = x tablespoons

Have a nice day!

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- Heather

Answer:

Each time, t, is associated with exactly one car value, y.

Step-by-step explanation:

The concept being tested is functions.

The graph describe is a vertical parabola that opens downwards.

All vertical parabolas are functions because the pass the vertical line test.

In other words, each time, t, is associated with exactly one car value, y.

The correct answer is the second option.

A. The power of the two-tailed hypothesis test with α = .05 is 0.53.

B. The power of the one-tailed hypothesis test with α = .05 is 0.95.

A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.

A. The power of the two-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- (1-α)\(^{1/2}\)

=1- (1-0.05)\(^{1/2}\)

=0.525

=0.53

This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.

B. The power of the one-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- α

=1- 0.05

= 0.95

This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.

This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.

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Answer:

$103.5

Step-by-step explanation:

Each game of skee ball requires 2 tokens and each game of pinball requires 2 tokens.

Let the number of tokens required for each game of skee ball be x and for each game of pinball be y.

From the given information, we can form two equations:

10x + 8y = 44    ... (1)

3x + 8y = 30      ... (2)

Multiplying equation (2) by 3, we get:

9x + 24y = 90     ... (3)

Subtracting equation (1) from equation (3), we get:

- x + 16y = 46

Solving for x, we get:

x = 16y - 46

Substituting this value of x in equation (2), we get:

3(16y - 46) + 8y = 30

Simplifying and solving for y, we get:

y = 2

Substituting this value of y in equation (1), we get:

10x + 8(2) = 44

Solving for x, we get:

x = 2

Therefore, each game of skee ball requires 2 tokens and each game of pinball requires 2 tokens.

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Answer:

24 + 12 = 36

Step-by-step explanation:

find the volume of the upper left part by finding the dimensions

it already gives 2 side lengths: 2 and 2. To find the 3rd side length you can take 5 - 2 to get 3. 3*2*2 = 12

find the volume of the bottom portion by finding the dimensions. we are given 2 sides again: 2 and 2. to get the upper long side, we can do 4 + 2 to get 6. 6*2*2 = 24

24+12= 36cm^3

Answer:

Part 1)

$170 + $1.21x = $491.86

Part 2)

170 + 1.21x + 491.86

1.21x = 491.86 - 170

1.21 x = 321.86

1.21x/ 1.21 = 321.86/ 1.21

x = 266 units produced

Part 3)

Twice that number of units = 266 x 2 = 532

$170 + ($1.21 x 532) =

$170 + $643.72 = $813.72

Answer:

it might be 7 or 10.69

Step-by-step explanation:

4÷42.78=10.69

Answer:

15.81

Step-by-step explanation:

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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The approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

To calculate the approximate volume of a cone, you can use the formula:

Volume = (1/3) * π * r^2 * h,

where r represents the radius of the cone's base and h represents the height of the cone.

Given that the radius (r) is 1.75 feet and the height (h) is 2.1 feet, we can substitute these values into the formula:

Volume = (1/3) * π * (1.75)^2 * 2.1

To calculate the approximate volume, we'll use the value of π as approximately 3.14:

Volume ≈ (1/3) * 3.14 * (1.75)^2 * 2.1

Now, we can perform the calculations:

Volume ≈ (1/3) * 3.14 * 3.0625 * 2.1

≈ 1.047 * 3.0625 * 2.1

≈ 6.478875

Therefore, the approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

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The conclusion is that the cross product is not associative, which means that (i×j)×j is not equal to i×(j×j).

To compute (i×j)×j, we first need to find i×j, which is the cross product of i and j. The cross product of i and j is a vector perpendicular to both i and j, and its direction can be determined using the right-hand rule. Since i and j are perpendicular unit vectors in the x-y plane, their cross product i×j is a vector pointing in the z direction, which can be written as k.

Now, we can compute (i×j)×j by taking the cross product of k and j. Since k is perpendicular to j, the cross product of k and j will be perpendicular to both k and j, which means it will be in the i direction. Therefore, (i×j)×j equals the vector i.

To compute i×(j×j), we first need to find j×j, which is the cross product of j with itself. Since the cross product of any vector with itself is the zero vector, j×j equals 0. Therefore, i×(j×j) equals the zero vector.

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For a polygon which is composed of three rectangles and dimensions are 4 ft× 2ft, 4 ft× 3 ft , 8 ft × 1.2ft. Area of polygon is 29.6 ft².

In geometry, a polygon is defined as the flat or plane surface, two-dimensional closed shape of boundaries. The sides of a polygon are also known as its edges. The points where two sides meet are called vertices (or corners) of a polygon. We have a polygon is composed of three rectangles.

The dimensions of rectangles are the following, 4 ft× 2ft, 4 ft× 3 ft , 8 ft × 1.2ft. We have to determine the area of polygon in square feet. The area of a polygon is defined as total space covered within the shape. The measurement is completed with square units. Rectangles are regular shape. The area of rectangle = length × width

Total area of polygon is equals to the sum of areas of three rectangles. So, area of polygon = 4 ft × 2 ft + 4 ft × 3 ft + 8 ft × 1.2 ft

= 8 ft² + 12 ft² + 9.6 ft²

= 29.6 ft²

Hence, required value is 29.6 ft².

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Answer:

choice 1) 2x + 40 = 180

Step-by-step explanation:

(x + 10) + (x + 30) = 180

2x+ 40 = 180

Answer:

X+30+x+10=180

combine like terms

2x+40=180

subtract 40 from both sides

2x=140

divide by 2

x=70

but for you it is 2x+40=180

B. The statement is false. The transpose of the product of two matrices is the product of the transposes of the individual matrices in reverse order, or (AB)^T=B^TA^T.

Justification:
1. Let A and B be arbitrary matrices for which the product AB is defined.
2. To find the transpose of the product (AB)^T, we need to first understand the properties of transposes.
3. According to the property of transposes, (AB)^T is equal to the product of the transposes of the individual matrices in reverse order.
4. So, (AB)^T = B^TA^T, which contradicts the statement (AB)^T = A^TB^T.

Hence, the correct answer is option B.

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Answer:

96%

Step-by-step explanation:

4800÷5000

Answer:lol

Step-by-step explanation:lol