You deposit $25,000 into a bank that pays % 4 annual interest compounded monthly.

a) What is the account balance after 3 years?

b) When will the balance reach $40,000 ?

Answer:

Given:

Total women -  189

Smokers - 74

Non-smokers - 115

The difference in 2 samples mean birth weight = 281.7 grams

95% confident that the mean weight = between 76.5 grams to 486.9  

solution:

The best interpretation would be -

95% confident that the babies of nonsmokers have a mean weight between 76.5 grams to 486.9 grams which is much more than the babies of women smokes by comparing smokers to nonsmokers from given data.

The expression shows the total amount in Diego's savings account after m months is 500 - 20m.

What is the total amount?

Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.

Here, we have

Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.

Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.

The expression:

= 500 - 20m

Here m is the number of months

Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.

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Answer:

Do you mean: When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.

Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.

If so your answer is: 2.5!

Answer:

f(1·2)

Step-by-step explanation:

Subbing x=1 (f(1)) into the original function f(x)=a^x will give f(1)=a^1 which is simply equal to a. Therefore, if we were to do [f(1)]^2, we would just get a^2 because f(1) is equivalent to a. Out of the choice.s present, only f(1·2) is equal to a^2, because a^(1·2)=a^2

-8y² -8x²+ 7x³ is the simplified form of the -5y² - 5x² - y² -3y² + 7x³ -3x²

An expression is combination of variables, numbers and operators.

The given expression is -5y² - 5x² - y² -3y² + 7x³ -3x²

We have to combine the like terms

Like terms are terms whose variables are the same.

-5y²  - y² -3y² - 5x² -3x²+ 7x³

-8y² -8x²+ 7x³

Hence, -8y² -8x²+ 7x³ is the simplified form of the -5y² - 5x² - y² -3y² + 7x³ -3x²

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Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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Answer:

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Attended the dinner speech.

Event B: Attended the breakfast forum.

70% attended the dinner speech

This means that \(P(A) = 0.7\)

40% attended both events.

This means that \(P(A \cap B) = 0.4\)

The probability that he also attended the breakfast forum is

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714\)

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Step-by-step explanation:

Let the coordinates of point b be (x,y).

Given the coordinates of a (-7,5) and c(5,-1)

Now according to question

ab = 5bc

using distance formula

\(\sqrt{(x+7)^2+(y-5)^2} =5\sqrt{(5-x)^2+(-1-y)^2}\)

Solving we can get

\(x=-\frac{-11+\sqrt{-4y^2-10y+25}}{2},\:x=\frac{\sqrt{-4y^2-10y+25}+11}{2}\)'

However, we do need either x or y coordinate of point b to find the other.

Answer:

7y⁴- 10yz - y²z - 5

Step-by-step explanation:

First collect like terms

3y²+ 4y²- 6yz - 4yz - y²z - 7+2

7y⁴-10yz - y²z - 5

Answer:

Its C

Step-by-step explanation:

Answer:

can you not just divide by 2 because you want to serve half the people?

Step-by-step explanation:

Therefore , the solution of the given problem of rectangle comes out to be  2.1 square inches of plastic wrap are required to completely cover the cylindrical candy container,

In the Euclidean plane, a rectangle is just a cube with quadrant perpendicular sides. It is sometimes referred to as an equiangular trapezoid or a rectangle with equal sides. The trapezoid could also have a border that is straight. Four of the sides of a square are equal in length. Rectangular quadrilaterals have four identical sides, but four 90° edges. Its name is occasionally "rectangular trapezoid" as a result.

Here,

.Each circle's circumference can be determined using the following formula:

Hence, each circle's circumference is:

=> Circumference = 2 times 0.7, or 1.4.

Hence, the cylinder's lateral area is

Height times circumference equals a lateral area of

=> 0.8 x 1.4 = 1.12 square inches.

Each circle's surface area is:

Circumference divided by radius squared equals 0.49 square inches.

Hence, the combined area of the two circles is:

=> Total area of circles = 2 x Area of circles,

which is

=>  2 x 0.49, or 0.98 square inches.

Including the area and the lateral area

Overall plastic wrap area equals lateral area plus total area of circles, which comes to

=> 1.12π + 0.98π

=> 2.1π square inches

Consequently, 2.1 square inches of plastic wrap are required to completely cover the cylindrical candy container, which corresponds to response option A.

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Answer: is 13

Step-by-step explanation: no explanation

Answer: plug 32 in for m

Step-by-step explanation:

When an isοsceles right triangle has a base οf x-2 and a height οf x-2. The area οf the triangle is 50 square inches then Using A=1/2 bh tο find the area οf a triangle is 1/2 (x-2)(x-2) = (x-2)²/2, and  12 inches is the value οf x?

An isοsceles right triangle has twο equal legs and the length οf the hypοtenuse is \(\sqrt{(2)\) times the length οf a leg. In this case, bοth legs have the length x-2, sο the length οf the hypοtenuse is (x-2)*sqrt (2).

The area οf the triangle is given by A=1/2 bh, where b is the base and h is the height. In this case, b=h=x-2, sο the area is:

A = 1/2 (x-2)(x-2) = (x-2)²/2

Area is 50, sο we can set up an equatiοn:

(x-2)²/2 = 50

Multiplying bοth sides by 2 gives:

(x-2)² = 100

Taking the square rοοt οn bοth sides gives:

x-2 = 10 οr x-2 = -10

The negative sοlutiοn dοesn't make sense in this cοntext, sο we discard it. Therefοre, we have:

x-2 = 10

Adding 2 tο bοth sides gives:

x = 12

Therefοre, the value οf x is 12 inches.

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When an isοsceles right triangle has a base οf x-2 and a height οf x-2. The area οf the triangle is 50 square inches then Using A=1/2 bh tο find the area οf a triangle is 1/2 (x-2)(x-2) = (x-2)²/2, and  12 inches is the value οf x.

An isοsceles right triangle has twο equal legs and the length οf the hypοtenuse is  times the length οf a leg. In this case, bοth legs have the length x-2, sο the length οf the hypοtenuse is (x-2)*sqrt (2).

The area οf the triangle is given by A=1/2 bh, where b is the base and h is the height. In this case, b=h=x-2, sο the area is:

A = 1/2 (x-2)(x-2) = (x-2)²/2

Area is 50, sο we can set up an equatiοn:

(x-2)²/2 = 50

Multiplying bοth sides by 2 gives:

(x-2)² = 100

Taking the square rοοt οn bοth sides gives:

x-2 = 10 οr x-2 = -10

The negative sοlutiοn dοesn't make sense in this cοntext, sο we discard it. Therefοre, we have:

x-2 = 10

Adding 2 tο bοth sides gives:

x = 12

Therefοre, the value οf x is 12 inches.

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The value of missing coordinate d of the point (d, 7) in the line such that its slope is 1 / 3 is - 9.

In this problem we must determine the value of the missing coordinates of a point in a line such that its slope is 1 / 3. The slope of the line can be determined by means of the secant line formula:

m = Δy / Δx

Where:

If we know that (x₁, y₁) = (d, 7), (x₂, y₂) = (0, 10) and m = 1 / 3, then the missing coordinate is:

1 / 3 = (10 - 7) / (0 - d)

1 / 3 = - 3 / d

d = - 9

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Answer:

34

Step-by-step explanation:

4r² + 3s² - rs ← substitute r = - 1, s = 3 into the expression

= 4(- 1)² + 3(3)² - (- 1)(3)

= 4(1) + 3(9) - (- 3)

= 4 + 27 + 3

= 34

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Answer:

5=x

Step-by-step explanation:

f(4)= f(x)

so, f(4)=(x-1)

then you just view the problem as, 4=x-1

so, 4+1=x because you need to get the x by itself so you have to move the 1 so it is with the 4. to get it to the other side you have to add it since is is being subtracted from the x. which makes it 5=x.

Step-by-step explanation:

A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car

Given:

To find a:

Using the cosine formula,

Hence, length of the unknown side is 9.3.

The given equations are,

Adding the first and second equations, we have,

Substituting the value of y in first equation, we have,

Answer:

your answer is D

Step-by-step explanation: