Jim invests $5,000 in an account that
pays 2.5% annual interest,
compounded semi-annually.
What is
his balance, to the nearest cent, at the
end of 5 years?

The variables are evaluated to give;

1. 2

2. 6

An algebraic expression can be defined as an expression that is made up of terms, variables, coefficients, factors and constants.

These expressions are also thought to consist of mathematical or arithmetic operations such as;

From the information given, we have that;

A=1 b=2 c=3 x=3 y=2 z=1

1. ab

Let's substitute the values into the formula

1(2)

Multiply the values

2

2. Abc

Substitute the values

(1)(2)(3)

multiply the values

6

Hence, the values are 2 and 6

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

Answer:

f(3)= -1

Step-by-step explanation:

1. f(3)= 3x - 10

f(3) means that where x is in the equation you put a 3

2. f(3)= 3(3) - 10

3. f(3)= 9 - 10

4. f(3)= -1

The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

Read more about mixed numbers at:

https://brainly.com/question/1746829

#SPJ1

Answer:

A=P+Prt

A-P=Prt

(A-P)/Pt=r

r=(A-P)/Pt

Answer:

The correct answer to a is 3 1/2 same answer for the other answer.

Answer:

a. 7/2  OR  3 1/2     Either answer should be acceptable

b. 82/15   OR  5 7/15   Either answer should be acceptable

Step-by-step explanation:

a. 5 3/4 =  so first multiply the denominator, 4, by the whole number 5 so 4 x 5 is equal to 20. Add this to your numerator, 3.

20 + 3 = 23 so the new fraction is 23/4

Same thing with 2 1/4     4 x 2 = 8 + 1 = 9    9/4

23/4 - 9/4 = 14/4 simplify this to 7/2

b. Same process here:

7 2/3      3 x 7 = 21 + 2 = 23      23/3

2 1/5       5 x 2 = 10 + 1 = 11        11/5

This time, we need a common denominator

3 x 5 = 15

5 x 3 = 15

23/3 x 5/5 = 115/15

11/5 x 3 = 33/15

115/15 - 33/15 = 82/15

For a one-tailed test with a 0.05 level of significance, the critical z statistic is 1.645, but the critical t statistic is 1.96. The statement is false.

The statement is incorrect. For a one-tailed test with a 0.05 level of significance, the critical z statistic is indeed 1.645. However, the critical t statistic value depends on the degrees of freedom (df), which is not provided in the statement. The 1.96 value mentioned is actually the critical z statistic for a two-tailed test with a 0.05 level of significance.

To learn more about the one-tailed test, refer:-

https://brainly.com/question/31270353

#SPJ11

Answer:

??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Step-by-step explanation:

Answer:

$28.68

Step-by-step explanation:

Answer:

Xavier will have $23.68 left.

Step-by-step explanation:

50- 26.32=23.68

Answer:

C. 19 feet

Step-by-step explanation:

Circumference formula 2πr= 2π(3)= 18.85. Round up to 19 feet

Based on the information of an equilateral triangle △STU and the congruence of angles ∠TXU and ∠TVS, it can be concluded that UX is congruent (≅) to SV. The proof involves establishing the congruence of corresponding angles and applying the angle-angle (AA) congruence criterion.

To prove that UX is congruent (≅) to SV using the information, we will utilize the fact that △STU is an equilateral triangle and the congruence of angles ∠TXU and ∠TVS.

We have:

△STU is an equilateral triangle (∠STU = ∠TUS = ∠UST = 60 degrees)

∠TXU ≅ ∠TVS

Proof:

1. Draw a diagram of equilateral triangle △STU.

2. Draw a line segment UX and SV originating from U and S, respectively, towards the interior of the triangle.

3. ∠TXU and ∠TVS are congruent (given).

4. ∠STU = ∠TUS = ∠UST = 60 degrees (equilateral triangle property).

5. Since ∠STU and ∠TUS are both equal to 60 degrees and ∠TXU ≅ ∠TVS, we can conclude that ∠UTX ≅ ∠VTS (angle sum property of triangles).

6. By Angle-Angle (AA) congruence, ∆UTX ≅ ∆VTS.

7. Since corresponding parts of congruent triangles are congruent, we have UX ≅ SV (side UT ≅ side VT).

Therefore, we have proved that UX is congruent (≅) to SV using the information.

To know more about congruence refer here:

https://brainly.com/question/32172817#

#SPJ11

```matlab

d = g * v0 * cosd(theta) * (v0 * sind(theta) + sqrt((v0 * sind(theta))^2 + 2 * g * yo));

x = linspace(0, d, 200);

y = x * tand(theta) - (g * x.^2) / (2 * (v0 * cosd(theta))^2) + yo;

[ymax, idx] = max(y);

xyPeak = [x(idx), ymax];

```

The given problem requires us to calculate various quantities related to the trajectory of a projectile. The trajectory is defined by a mathematical formula, and we need to use this formula to derive the values of interest.

First, we calculate the range of the projectile, denoted by "d," using the provided formula. The range is the horizontal distance the projectile travels before hitting the ground. We substitute the given values of initial velocity (v0), initial angle (θ), and initial height (yo) into the formula to obtain the range value.

Next, we need to create a row vector of x-values that are equally spaced between 0 and d. We accomplish this using the linspace function, which generates 200 equally spaced points within the specified range.

To determine the corresponding y-values for each x-value, we use the given formula for the height of the projectile (y) as a function of x. By substituting the values of x, v0, θ, g, and yo into the formula, we calculate the y-values for each x-value in the row vector.

Finally, we want to find the coordinates of the peak of the trajectory, which represents the highest point reached by the projectile. To achieve this, we use the max function to find the maximum value in the y-vector and its corresponding index. This index gives us the location in the x-vector where the maximum height occurs. We store these coordinates as a 2-element row vector, xyPeak.

Overall, the provided code effectively solves the problem using vectorized calculations, without the need for loops or if statements, to efficiently compute the desired values.

Learn more about matlab

brainly.com/question/30763780

#SPJ11

Answer:

3.5

Step-by-step explanation:

ΔABC ≅ ΔHJK

This means that sisde AB is congruent to side HJ

Side BC is congruent to JK

and side CA is congruent to KH

I AB is 3.5 then HJ=3.5

Answer:

3.5 cm

Step-by-step explanation:

Step-by-step explanation:

Use the equation ?/45.20 = 35\100 and what you get is your answer

Hope this helps

Answer:

flour 720 g

salt 10.8 g

yeast 14.4 g

oil 36 ml

water 600 ml

Step-by-step explanation:

600 ml - 500 ml = 100 ml = 20% more

Set up ratios to determine 20% of each ingredient and add to the original amount.

Example:

20%/100% = x ml/30 ml

20x30÷100=6

So, for oil, you need 30 ml + 6 ml = 36 ml

6 ml = 20% more

Answer:

8

Step-by-step explanation:

0.20 x 40 = 8

Therefore, 20% of 40 is 8

Check the picture below.

\(\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ c = \sqrt{10^2+7^2~-~2(10)(7)\cos(108^o)} \implies c = \sqrt{ 149 - 140 \cos(108^o) } \\\\\\ c\approx \sqrt{149-(-43.262379)}\implies c\approx \sqrt{192.262379}\implies \boxed{c\approx 14}\)

An equation that has 3 variables is called a cubic equation.

In mathematics, the general form of a cubic equation is ax³+ bx² + cx + d=0. Here, a is the co-efficient of the cube of x, b is the co-efficient of the square of x and c is the co-efficient of x. We also have the constant term d.

This is also referred to as a trinomial equation.

The degree of a cubic equation is 3. The degree of an equation is the highest power the equation has. As we can clearly see that the degree here will have to be 3. It also has 3 roots namely, α, β, and γ.

To know more about cubic equations visit

https://brainly.com/question/1727936

#SPJ4

We can interpret from the results that the distribution of data might be negatively skewed.

In the given question it is mentioned that while Morgan was analyzing her data, she notices that the value of her mean is quite a bit smaller than the value of her median.

As we know that, in statistics, when the mean is smaller than the median and mode, it indicates a negatively skewed distribution.

A negatively skewed distribution or left skewed distribution is a type of distribution in which more values are concentrated on the right side of the distribution graph while the left side of the graph is longer.

Hence, we can interpret from these information that the distribution of data of Morgan are negatively skewed.

To know more about negatively skewed distribution:

https://brainly.com/question/12996455

#SPJ4

The question that is a statistical question is: "which brand of ice cream is preferred by the people shopping at a grocery store?" (Option D)

A statistical question is one that can be addressed by gathering varying amounts of data.

This is a statistical issue since it entails gathering and evaluating data from a group of individuals to discover which brand of ice cream the majority prefers.

The other alternatives are not statistical inquiries since they solicit personal opinions or preferences rather than group facts.

Learn more about statistical question:
https://brainly.com/question/29257078
#SPJ1

Answer:

0.4%

Step-by-step explanation:

If we are looking to have a number less than 3 rolled 4 out of 7 times.

Our winning numbers are 1 and 2. Our losing numbers are 3, 4, 5, and 6.

This means that our winning percentage is 33.3% and our losing percentage is 66.6%.

We need to multiply these numbers together taking our number of rolls into account.

.333 * .333 * .333 * .333 * .666 * .666  * .666 = 0.0036

Hello.

The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).

A rotation translation must be used to make the two polygons coincide.

A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D

Have a nice day

Answer:

FGHIJ: Dilate ABCDE with respect to the origin by a scale factor of 0.5, and then rotate the image 180° clockwise about point (0, 2). Translate the image 1 unit down and 7 units to the right.

FGHIJ: Reflect ABCDE across the x-axis, and then reflect the image across the y-axis (or vice versa). Dilate the image with respect to the origin by a scale factor of 0.5. Translate the image 3 units up and 7 units to the right.

The correct statement is as follows:The goal for Charity 1 represents a linear function, while the goal for Charity 2 represents an exponential function.

Two charities set annual goals for donations. The goals for Charity 1 and Charity 2 are:Increase the total donations by $2,500 per year.Increase the total donations by 12.5% per year.Which statement is true?The goal for Charity 1 represents a linear function, while the goal for Charity 2 represents an exponential function is the true statement. Linear function and exponential function are the two primary types of functions used in the mathematical concept.The primary difference between these two functions is that linear functions form a straight line when graphed, while exponential functions form a curve.

For example, consider the two goals set by the charities in this case. It is evident that the goal of increasing donations by $2,500 per year follows a straight-line graph, whereas the goal of increasing donations by 12.5% per year follows a curve that bends upwards exponentially. As a result, the correct statement is as follows:The goal for Charity 1 represents a linear function, while the goal for Charity 2 represents an exponential function.

To know more about Charity:

https://brainly.com/question/31888282

#SPJ11

The sentence that includes a transition showing that the ideas are similar to the ideas in the previous sentence is: "In addition, forests provide natural beauty." Option C

The transition phrase "In addition" indicates that the information being presented is related or similar to the previous sentence. It suggests that there is an additional point or aspect that supports the idea discussed earlier.

Transitional words and phrases are used to create coherence and establish logical connections between ideas in a text. They help readers understand the flow of information and the relationships between different parts of a written work.

In this case, the transition "In addition" signals that the sentence will provide another reason or benefit associated with forests. It indicates that the new information will complement or support the idea expressed in the previous sentence.

Other transitional phrases, such as "However," "Conversely," and "In contrast," introduce contrasting ideas or points of view, which are different from the previous sentence. These transitions indicate a shift in the direction or a contradiction between the ideas being presented.

Option C

For more such questions on addition visit;

https://brainly.com/question/4721701

#SPJ8

The quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is 2x² + x – 3.

A quotient is a quantity produced by the division of two numbers.

The quotient is most frequently encountered as two numbers, or two variables, divided by a horizontal line. The words "dividend" and "divisor" refer to each individual part, while the word "quotient" refers to the whole.

For example when 8 is divided by 2, the result obtained is 3. Thus, the quotient is 4.

To determine the quotient when (2x4 – 3x3 – 3x2 + 7x - 3) is divided by (x2 - 2x + 1), we'll apply the long division method as shown below:

              2x² + x – 3

x² - 2x + 1|2x⁴ – 3x² – 3x² + 7x - 3

              –(2x⁴ – 2x³ + 2x²)

                 x³ – 5x² + 7x – 3

              –(x³ – 2x² + x)

             –3x² + 6x – 3

            –(3x² + 6x – 3)

                    0

Thus, the quotient is 2x² + x – 3.

To learn more about Quotient visit :

https://brainly.com/question/16134410

#SPJ4

Answer:

The answer is actually not an option here. The answer is y=-1/3x+16

Answer:

$490

Step-by-step explanation:

Answer:

\(\frac{100}{3}\)

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

It can help to understand what the square of a binomial looks like when you are asked to solve a quadratic by completing the square.

  (x -a)² = x² -2ax +a²

In this form, the constant term a² is the square of half the x-coefficient. The x-coefficient and the constant in the binomial have the same sign.

Your quadratic is ...

  x² -12x +21 = 0

It can be easier to complete the square if the given constant term is subtracted from both sides:

  x² -12x = -21

Now, the square can be completed by adding the square of half the x-coefficient: (-12/2)² = (-6)² = 36.

  x² -12x +36 = -21 +36

  (x -6)² = 15 . . . . . . . . the form you want for your answer template

__

Taking the square root gives ...

  x -6 = ±√15

  x = 6 ± √15 ≈ {2.13, 9.87} . . . . solutions to the equation

_____

Additional comment

The form we use for solving by completing the square is only one step away from "vertex form." That is, knowing the vertex of the function graph, we can write the vertex form equation, and find a solution immediately using the complete the square procedure.

  vertex form equation: (x -6)² -15 = 0

  form used for "complete the square" solution: (x -6)² = 15

(a) The expression for a Riemann sum of a function f on an interval [a, b] is Δx = (b-a)/n

(b) If f(x)⩾ 0, then the geometric interpretation of a Riemann sum is infinity

(c) If f(x) takes on both positive and negative values, then the geometric interpretation of a Riemann sum is infinity

Riemann sums are an important tool in calculus for approximating the area under a curve. They are used to estimate the value of a definite integral, which represents the area bounded by the curve and the x-axis on a given interval. In this explanation, we will discuss the expression for a Riemann sum, its notation, and its geometric interpretation.

(a) Expression for a Riemann sum:

A Riemann sum is an approximation of the area under a curve using rectangles. We divide the interval [a, b] into n subintervals, each of length Δx=(b−a)/n. The notation used to represent this is:

Δx = (b-a)/n

(b) Geometric interpretation of a Riemann sum when f(x)⩾ 0:

If f(x) is always non-negative, the Riemann sum represents an approximation of the area between the curve and the x-axis on the interval [a, b].

Each rectangle has a positive area, which contributes to the overall area under the curve. The sum of the areas of the rectangles approaches the true area under the curve as the number of subintervals n approaches infinity.

(c) Geometric interpretation of a Riemann sum when f(x) takes on both positive and negative values:

When f(x) takes on both positive and negative values, the Riemann sum represents the net area between the curve and the x-axis on the interval [a, b].

Each rectangle may have a positive or negative area, depending on the sign of f(xi).

The positive areas represent regions where the curve is above the x-axis, and the negative areas represent regions where the curve is below the x-axis.

In conclusion, Riemann sums are used to approximate the area under a curve on an interval [a, b]. The expression for a Riemann sum involves dividing the interval into n subintervals and approximating the area under the curve using rectangles.

To know more about Riemann sum here.

https://brainly.com/question/30241844

#SPJ4