Mandy opened a savings account and deposited $100.00 as principal. The account carns 15% Interest, compounded quarterly. How much interest will she earn after 5 years? Round your answer to the nearest cent

Answer:12.7

Step-by-step explanation:

sin58=X/15

15 sin58=x

Multiply Sin58 × 15=X

X=12.7

The expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Iris has 120 songs on her playlist. Each week, she downloads 4 new songs.

We can write the expression to show the total number of songs on Iris's playlist after {w} weeks as -

y = 120 + 4w

Therefore, the expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.

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The score that you need to make in your final exam to ensure you make at least an 80 for the class is; 71

To calculate the Grade point Average, the unit value for each course that a student receives one of the utilized grades is multiplied by the number of grade points that are assigned for that grade. Then, the sum of these products is then divided by the sum of the units. Thereafter, the cumulative GPA is the sum of the grade points divided by the sum of the units.

We are told that;

You need to make on your final exam to make an 80 for this class S1.

T1 = 73, T2 = 90, grades count as 3/7 each.

The final is 1/7.

Thus, we can develop the equation with x as the required final score as;

(219/7) + (270/7) + (x/7) = 80

Multiply through by 7 to get;

219 + 270 + x = 80

489 + x = 560

x = 560 - 489

x = 71

Thus, that is the required score.

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Answer:

none.

Step-by-step explanation:

how can you like put a subtract sign next to a number like lol!! how does it make sence!?!? i think the CORRECT answer is apple bobbing. i think this because when you apple bob for 9 apples it like subtracts it from the apple water!! currently crying because your question doesnt make sence like its obv apple bobing

Let the monthly allowance = x

Sean puts half of his monthly allowance in savings

So, saving = 1/2 x

he spends 2/5 of his allowance on game rentals

So, game rental = 2/5 * x

The rest will be for buy snacks

Rest = 3.75

So,

solve for x:

So, the answer will be:

Monthly allowance = $37.5

The teacher can thus use social sciences as a vehicle to develop mathematical skills by facilitating the development of skills such as data interpretation and analysis.

As an instructor, I would use social sciences to develop mathematical skills in the following manner:Consider a social science topic like demography. In this case, a teacher could use mathematics to assist students in interpreting population statistics.

Teachers might guide students to gather information about population size, growth rate, and geographical distribution from various countries and then use statistics to analyze the data.

For example, a teacher could give students graphs or charts to help them understand population growth rates. They can be asked to make comparisons and identify trends.

In this way, students' understanding of the population is improved, as is their mathematical reasoning.Aside from using mathematics to interpret population statistics,

the teacher can also incorporate mathematical skills development in social sciences by using methods that involve understanding and analysis of data. In other words, students learn how to use data to reach conclusions and make decisions.

They learn how to interpret data and how to extract information from it.This method of teaching creates opportunities for the use of the same skills in different contexts and areas of learning.

It enables students to see connections between subjects and fosters an integrated approach to learning.

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The complete order of the inverse function of the function f(x) = x + 5 is:

1. y = x + 5

2. x = y + 5

3. x - 5 = y

4. y = x - 5

The function is given as:

f(x) = x + 5

The opposite of the function f(x) = x + 5 is the inverse of the function.

So, we have:

f(x) = x + 5

Express f(x) as y

y = x + 5

Swap the positions of x and y

x = y + 5

Make x the subject of the formula

x - 5 = y

Rewrite as:

y = x - 5

Hence, the inverse function of the function f(x) = x + 5 is y = x - 5

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Answer:

384 cm²

Step-by-step explanation:

Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.

\(\boxed{area \: of \: triangle = \frac{1}{2} \times base \times height }\)

Area of a triangular face

= ½ ×12 ×10

= 60 cm²

\(\boxed{area \: of \: square = side \times side}\)

Base area of pyramid

= 12 ×12

= 144 cm²

∴ Surface area of pyramid

= 4(60) +144

= 240 +144

= 384 cm²

Answer:

1. 2L^2 then on the top of the second part it will be the same. then you divide by the 2L other the other side so the top two boxes are 2L^2 and the last box is 2L

The answer of the given question based on the  various values, including select minimums and maximums, of a particular cosine function f (x) the answer is "4π".

Distance is measure of how far apart two objects or points are from each other. It is scalar quantity that is always positive, representing length of shortest path between two points in Euclidean space. Distance is typically measured in units like meters (m), kilometers (km), feet (ft), or miles (mi).

We can determine the period of the function by finding the distance between two consecutive peaks or troughs. In this case, the maximum value of the function is 4 and it occurs at x = -2π and x = 2π. The minimum value of the function is -2 and it occurs at x = -π and x = π. Therefore, the distance between two consecutive peaks or troughs is:

2π - (-2π) = 4π

So, the period of the function is 4π. Therefore, the answer is "4π".

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The x-intercepts are (4,0)(5,0) of the following graph.

In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.

To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.

In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.

To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.

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Answer:

5/8

Step-by-step explanation: Keep, Change and Flip so you do 1/2 times 5/4

Answer:

5/8

Step-by-step explanation:

To divide by a fraction. multiply by the reciprocal of that fraction.

1/2 * 5/4

Multiply the fractions across.

so 1*5=5, then do 2*4= 8

5/8

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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Step-by-step explanation:

In order to find the answer, we need to, find the denominator. The least common denominator would be 6 for 1 1/2 + 2 1/3, so if you would do it on paper, the equation would look like this, 1 3/6 + 2 2/6. Now that we have the same common denominator, we can add the fractions together. First we add the wholes, 1+2 = 3, and then, 3/6 + 2/6 which would be 5/6. Then combine you're answer together, and you would get 3 5/6 as your final answer.

Cheers!

Answer:

3 ⅚

Step-by-step explanation:

1 ½ + 2 ⅓

(1 + 2) + (½ + ⅓)

3 + ⅚

= 3 ⅚

Answer:

90

Step-by-step explanation:

AnswerAnswerAnswer:90

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

it has 8 sides so:

total interior angle degrees = (180° x 8 sides) - 360° = 1080°

11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°

combine like terms:

32x + 760° = 1080°

subtract 760° from both sides of the equation:

32x = 320°

divide both sides by 32:

x = 10

Answer:

2 9/20

Step-by-step explanation:

\(9\frac{3}{4}-7\frac{3}{10}\\\frac{39}{4} -\frac{73}{10}\\\frac{39x5}{4x5}-\frac{73x2}{10x2}\\\frac{195}{20}-\frac{146}{20}\\\frac{49}{20}\\2\frac{9}{20}\)

*I used an x for the multiplication symbol...there's no variable involved in this.  

The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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Answer:228m

Step-by-step explanation: 19m x 12m = 228m

Answer: 228m

Step-by-step explanation: Just multiply 19m by 12m. That's how you find area.

Answer:

ig this is free pionts, sry whats the question???

Step-by-step explanation:

Answer:

See image

depending on what is in the numerator of your question:

24 OR 15 SEE IMAGE!

Step-by-step explanation:

f(48) just means to use 48 in place of x in your work.

f(x) = 12 + x/4

f(48) = 12 + 48/4

Hopefully, your text/worksheet/screen is clear on which problem you are doing.



The probability that the cupcake picked at random contains walnuts is given as follows:

0.4 = 40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:

30.

The number of cupcakes with walnuts is given as follows:

Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:

p = (3 + 9)/30

p = 12/30

p = 0.4.

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Answer:

10

Step-by-step explanation:

The accurate statement about the graph is: Point D is a y-intercept of the graph.

Based on the given graph of y = -x + 1, the following statements about the graph are accurate:

Point A is a relative minimum of the graph:

False.

Point A is located at (-2, 3), and it is not the lowest point on the graph. Moving to the left or right of point A, the graph continues to decrease.

Point B is a turning point of the graph:

False.

Point B is not a turning point.

It is located at (-1, 2), and the graph does not change its direction or slope at this point.

Point C is a maximum of the graph:

False.

Point C is located at (2, -2), and it is not the highest point on the graph. Moving to the left or right of point C, the graph continues to increase.

Point D is a y-intercept of the graph:

True.

Point D is located at (0, 1), and it lies on the y-axis.

This point represents the y-intercept of the graph, where the value of x is zero.

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Answer:

1,2,4,8

Step-by-step explanation:

The area of the rectangle will be 4.5 square units and the length and width are x=3 and y=1.5.

The equation for the line is y = -.5x + 3 (slope/intercept form).

Draw a random rectangle with the y-axis, x-axis, and the point (x,y) on the line y = -.5x + 3 as its corners.

This point's height from the x-axis (the length of the rec) will be equal to -.5x + 3 and its length from the y-axis will be x (the width of the rec).

Knowing that A = L*W equals the area of a rectangle

A(x) = (-.5x + 3) * x = -.5x^2 + 3x

In search of A'(x) = -x + 3. And we desire that A'(x) be 0.

As a result, y = -.5(3) + 3 = 1.5 and -x + 3 = 0 imply that x = 3.

So the maximum area of this rectangle is L*W = 1.5 * 3 = 4.5 square units. (We know this is a max and not a min since A’’(x) = -1 which makes the graph concave down)

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Answer:

13.6 units (to 3 significant figures)

Step-by-step explanation:

C ( -4,6) and D (-4,-5)

the formula for distance is : √(x2 - x1)² + (y2-y1)²

in this case x1= -4 , x2= -4 and y1 =6 , y2 = -5

so substitute the values and you will get the answers

Answer:

170t+D=8500

D=170t−6460

Step-by-step explanation:

Mathematical models are used to explain real life situations.

We can see from the question that the total debt is $8500  while there is  interest rate of 0% for 24 months. We are also told that after 12 months, the remaining debt was $6460.

Now, the equations that correctly model the situation are;

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Answer:

the green line

Step-by-step explanation:

its closest to the point

Hi there! The answer would be the green line and the dark blue line which is f(x)=2x+3 and h(x)=-2x+2.

Step By Step:

So you need to figure out the line for (2,-2).

This means that you would have to find a line that is between them which is the correct answer.

Well it can’t be orange since that it didn’t touch it and so can it not be red. So we have two answers left to choose from.

The last two pairs we have left would be the answer since they’re nothing touching the point for (2,-2).

This means that it would be D, dark blue and orange, or we can say f(x)=2x+3 and h(x)=-2x+2.

Using the normal distribution, it is found that the z-scores are:

a) z = -1.5

b) z = 1.9

c) z = 0

In normal distribution with mean 'μ' and the standard deviation 'σ', the z-score of a measure X is given by:

z = x-μ/σ

It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).

For first blank: 1.5 standard deviations below the mean, hence z = -1.5.

For second blank: 1.9 standard deviations below the mean, hence z = 1.9.

For third blank: The mean is 0 standard deviations from itself, hence z = 0.

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