Jessica's friend Tyshaun found an account that earns 2.5 percent interest compounded annually. Tyshaun made an initial deposit of $100 into this account at the same time Jessica made a deposit of $100 into her account. After 10 years, how much more money will Tyshaun's initial deposit have earned than Jessica's initial deposit?

Answer:

If you are asking for the X then the answer would be 7.

Answer:

x = 19 degrees

y = 84 degrees

Step-by-step explanation:

recall that for an isosceles triangle (which is pictured), the base angles have the same value.

In our case, we can see that the base angles are 48 deg and (3x-9) deg

if they are equal, we can equate them like this:

48 = 3x-9    (add 9 to each side)

48 + 9 = 3x

57 = 3x   (divide both sides by 3)

x = 57/3

x = 19 degrees  (answer)

also recall that the sum of the interior angles of a triangle add up to 180 deg, hence

48 deg + 48 deg + y deg = 180 deg

2(48) + y = 180

96 + y = 180

y = 180 - 96

y = 84 deg

Answer:

The probability that you will roll a 4 is 1/6

Step-by-step explanation:

A basic number cube has 6 sides.

Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6

The 4 is only on one out 6 of the sides so it is 1/6 probability

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The slope of a line through the two points is (y2-y1) / (x2 - x1).

The slope of a line:

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

Here we have to find the slope of the line.

Data given:

Point one has the coordinate = (x1, y1)

Point two has the coordinate = (x2, y2)

So the slope of the line(m) =( y2 - y1) / (x2 - x1)

Therefore the slope of the line is (y2- y1) / ) (x2-x1)

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Answer:

slope = - \(\frac{13}{28}\)

Step-by-step explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (17, - 6 ) and (x₂, y₂ ) = (- 11, 7 )

m = \(\frac{7-(-6)}{-11-17}\) = \(\frac{7+6}{-28}\) = - \(\frac{13}{28}\)

The range of the given data set, 33, 38, 35.5, 39.25, 31.75, is 7.5. The range represents the spread or the difference between the highest and lowest values in the data set.

To calculate the range of a data set, you need to find the difference between the maximum and minimum values.

Given the data set: 33, 38, 35.5, 39.25, 31.75

To determine the maximum value, we can compare the numbers in the data set and identify the highest one. In this case, 39.25 is the largest number.

To find the minimum value, we compare the numbers and identify the smallest one. Here, 31.75 is the smallest number.

Now, we can calculate the range by subtracting the minimum value from the maximum value:

Range = Maximum value - Minimum value

      = 39.25 - 31.75

      = 7.5

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Answer:

n-3

(-1)-3=-4

hope this helps

have a good day :)

Step-by-step explanation:

Jason collected the greatest amount of recyclable waste, exceeding Scott's collection by 3.7 kilograms.

To determine who collected the greatest amount of recyclable waste, we calculate the recyclable waste collected by each person. Scott collected 640 kilograms of waste, of which 89% can be recycled, resulting in 569.6 kilograms of recyclable waste. Jason collected 910 kilograms of waste, with 63% being recyclable, resulting in 573.3 kilograms of recyclable waste.

Comparing the two amounts, we find that Jason collected 3.7 kilograms more recyclable waste than Scott. Therefore, Jason collected the greatest amount of recyclable waste.

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Answer:

11 hours

Step-by-step explanation:

\(\frac{350}{18} = \frac{19}{1} \\\\\frac{19}{1} = \frac{209}{x} \\\\\frac{209}{19} = 11\)

he will have to work for 11 hours

       In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

The meaning of inequality

       A social discrepancy is one example of a characteristic that is unequal or uneven. b: unequal opportunity or distribution.

     A disparity in size, quantity, quality, social standing, or another aspect is what is meant by the term "inequality." When you have ten of something and someone else has none, that is an instance of inequality.

A number = n 12

multiplied by a number = n+12

which is 32 less than the number = 3n-32

n+12 =3n-32

44 =2

The result is equal to 2n n=22.

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Answer:

1.5×2.5/2=1.875.

Step-by-step explanation:

We all know that area of triangle is base into hight upon 2.

Answer:

B - 3,500,000,000

Step-by-step explanation:

no explanation provided

The equation of the quadratic function is: f(x) = 3x² - 18x - 48

To find the equation of a quadratic function in standard form, we need to use the zeros of the function and one additional point.

Given that the zeros are x = 8 and x = -2, we can write the equation in factored form as:

f(x) = a(x - 8)(x + 2)

To find the value of "a," we can use the fact that f(2) = -72.

Substituting x = 2 into the equation, we have:

-72 = a(2 - 8)(2 + 2)

Simplifying, we get:

-72 = a(-6)(4)

-72 = -24a

Dividing both sides by -24, we find:

3 = a

Now that we know the value of "a," we can rewrite the equation in standard form:

f(x) = 3(x - 8)(x + 2)

So, the equation of the quadratic function is:

f(x) = 3x² - 18x - 48

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Answer:

45 cashews

Step-by-step explanation:

9:3:1

Add them together to get 13

195÷13= 15

15×3= 45

Answer:

A.

Step-by-step explanation:

A way to find the equation of the graph is to find the solutions.

On the graph, the solutions are where the function intersects the x-axis. That would be where x = -2, x = 1, and x = 3.

In the equations, you will need to find factors when the x is inputted, the factor equals 0. For example, one of the factors is (x + 2). This is because x + 2 = 0, so x = 0 - 2, so x = -2. So, the three factors are (x + 2), (x - 1), and (x - 3).

The correct equation is A.

Hope this helps!

68.4 is approximately 95% of 72.

Here, we have,

To find out what percent of 72 is 68.4, we can follow these steps:

Step 1: Divide 68.4 by 72.

68.4 / 72 = 0.95

Step 2: Convert the decimal to a percentage by multiplying by 100.

0.95 * 100 = 95

Therefore, 68.4 is approximately 95% of 72.

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Answer: 1. 64 | 2. 32

Step-by-step explanation:

Formula for a rectangle is Area = Length*Width

Therefore: 8*8 = 64

Formula for a triangle is Area = 1/2*Base*Height, which is also 1/2*length*width

Therefore: 1/2*8*8 = 32

Hope this helps :)

The 90% confidence interval is: (2.51, 3.22)

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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We can observe in the table that when x goes from 3 to 5, y decreases

How much does y decrease?

it goes from 5 to -3, then it decreases

-3 -5 = -8

then, if y starts with 5 when x = 3, then when x = 5 its value will be

5 - 8 = -3

when x = 5 it is -3, then when x = 7

-3 - 8 = -11

We can say that every time x increases 2 unities, y decreases 8

How many times y decreases when x increase 1 unity?

it should decrease

-8/2 = -4

Then we can have more information

If x = 3, then y = 5

if x = 4, then y = 5-4 = 1

if x = 5, then y = 1-4=-3

if x = 6, then y = -3 - 4 = -7

if x = 7, then y = -7 - 4 = -11

We want to know what is the value of y with the previous x values,

when x = 2, x =1 and x = 0

if x = 2. then y = 9, because 9 - 4 = 5

if x = 1, then y = 13, because 13 - 4 = 9

if x = 0, then y = 17, because 17 - 4 = 13

Answer:

-12 81/200 or -2481/200

Step-by-step explanation:

Hope this helps and can I have brainliest!

There are 200 dogs Roscoe groom if he worked for 40 hours.

What is working time?

A person's working time is the time they are engaged in paid work. Personal housework, childcare, and pet care are examples of unpaid work that is not included in the definition of the working week.

In most cases, when someone inquires about your working hours, you should first provide the start time before providing the time you leave for home.

From the given graph we can see that for each three hours the number of dogs are increased by 15.

So, for each one hour the number of dogs increased by 5.

For 18 hours the the number of dogs are 90.

After 18 hours to complete 40 hours we need 22 hours.

So, for 22 hours the number of dogs are

22 x 5 = 110.

Therefore, the total number of dogs worked for 40 hours are,

90 + 110 = 220.

Hence, there are 200 dogs Roscoe groom if he worked for 40 hours.

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Answer:

yes it is a function, it is a function

Answer:

x=2 and y=10

Step-by-step explanation:

Answer:

x = 2 and y = 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angles that form a straight line are called a linear pair. They are supplementary angles (by definition), so their sum is 180°.

__

Replacing the angle numbers with their values, we can use this relationship.

  120 + x = 180 . . . . use the given numbers in the supplementary angle relationship

  x = 180 -120 . . . . . use the addition property of equality to find x by subtracting 120 from both sides of the equation

  x = 60

The missing angle (x) is 60 degrees.

Answer:

900

Step-by-step explanation:

First, we set up our equation: To find the area of a trapaziod, the equation is Base 1+ Base 2 times Height

So, the equation would be: A=26+46x19

A=72x19

72 times 19= 900

Hope this helps and have a nice day!

a. The prime numbers in this list are 5 and 7. b. There are no prime numbers in this list. c. The prime numbers in this list are 31 and 17. d. The prime numbers in this list are 61 and 2.

a. In the list 5, 7, 12, 11, the prime numbers are 5, 7, and 11. Prime numbers are numbers greater than 1 that have only two factors, 1 and themselves.

b. In the list 14, 6, 3, the prime number is 3. The other numbers have more than two factors, making them not prime.

c. In the list 31, 17, 9, 15, the prime numbers are 31 and 17. The numbers 9 and 15 have more than two factors, so they are not prime.

d. In the list 782, 61, 2, the prime numbers are 61 and 2. Number 2 is the smallest prime number, and 61 has only two factors, 1 and 61. The number 782 has more than two factors, so it is not prime.

To summarize, the prime numbers in each list are: a. 5, 7, 11; b. 3; c. 31, 17; d. 61, 2.

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Angle A is 19 degrees.

Angle C is 90 degrees.

Side a is approximately 7.83.

Side c is approximately 34.50.

To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.

Finding Angle A:

Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:

A = 90 - B

Substituting the given value, we have:

A = 90 - 71

A = 19 degrees

Therefore, Angle A is 19 degrees.

Finding Angle C:

Since it is a right triangle, Angle C is always 90 degrees.

Therefore, Angle C is 90 degrees.

Finding Side a:

We can use the sine ratio to find the length of side a:

sin(A) = a / b

Rearranging the equation to solve for a, we have:

a = b * sin(A)

Substituting the given values, we have:

a = 24 * sin(19)

a ≈ 7.83

Therefore, the length of side a is approximately 7.83.

Finding Side c:

Using the Pythagorean theorem, we can find the length of side c:

c^2 = a^2 + b^2

Substituting the given values, we have:

c^2 = 7.83^2 + 24^2

c^2 ≈ 613.68 + 576

c^2 ≈ 1189.68

Taking the square root of both sides to solve for c, we have:

c ≈ √1189.68

c ≈ 34.50

Therefore, the length of side c is approximately 34.50.

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Answer:

I believe the answer is x=7

Step-by-step explanation: