The following loan is discounted. Fine (a) the discount, (b) The amount of money received and(c) the true interest rate

Answer: 2/90 = 1/45

Step-by-step explanation:

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer: The Lions scored 41 points.

53 - 12 = 41

Answer: 41

Step-by-step explanation: if the Lions scored Less than the Tigers. Then you would subtract the points the from the Tigers to the Lions. Therefor they scored 41.

The statements that are listed above that are not propositions include the following:

A proposition statement is defined as the statement that is either a true statement or false statement but can not be both.

From the given statements,the statement that is a true proposition include the following:

The statement that is a false proposition include the following:

The statement will you be my valentine? is not a proposition but a declarative question that needs to be answered.

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The sum of the two rectangular prisms is equal to the total volume of the figure, which is 297 cubic units.

Sure, I can definitely help you with that question!

First, let's define what a rectangular prism is. A rectangular prism is a three-dimensional shape that has six faces, all of which are rectangles. It is also known as a cuboid.

Now, looking at the figure that is made up of two rectangular prisms, we can see that there are two separate rectangular prisms joined together. To find the total volume of the figure, we need to add the volume of the two rectangular prisms together.

The formula to find the volume of a rectangular prism is V = l x w x h, where l is the length, w is the width, and h is the height.

Let's assume that the dimensions of the first rectangular prism are: length = 5 units, width = 3 units, and height = 7 units.

Using the formula, we can find the volume of the first rectangular prism:

V1 = l x w x h = 5 x 3 x 7 = 105 cubic units

Now, let's assume that the dimensions of the second rectangular prism are: length = 8 units, width = 4 units, and height = 6 units.

Using the formula, we can find the volume of the second rectangular prism:

V2 = l x w x h = 8 x 4 x 6 = 192 cubic units

To find the total volume of the figure, we need to add the volumes of the two rectangular prisms together:

Total Volume = V1 + V2 = 105 + 192 = 297 cubic units
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Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

Meaning of probability :

Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.

The analysis of events governed by probability is called statistics.

According to the given information :

Red section = \(\frac{2}{5}\)

multiply numerator and denominator by \(2\) we get

Red section = \(\frac{4}{10}\)

 Blue section = \(\frac{1}{2}\)

 multiply numerator and denominator by \(5\) we get

 Blue section = \(\frac{5}{10}\)

 Green section = \(1\)- Red section - Blue section

 Green section =\(1-\frac{4}{10} -\frac{5}{10}\)

  Green section = \(\frac{1}{10}\)

Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

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Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

x=1

Step-by-step explanation:

Measure of angle ABC = (3x)°

Measure of angle CBD = (15x+18)°

Since angle ABC and angle CBD are a linear pair their sum will be equal to 180°¿

Which means :

\( =\tt 3x + 15x + 18 = 180\)

\( =\tt 18x + 18 = 180\)

\( = \tt18x = 162\)

\( =\tt x = \frac{162}{18} \)

\(\color{plum} \tt= x = 9\)

Thus, the value of x = 9.

From that equation, we know that the value of x = 9.

Which means :

Measure of angle ABC :

\( =\tt 3x\)

\( =\tt 3 \times 9\)

\(\tt\color{plum} \: angle \: ABC = \tt27°\)

Measure of angle ABC = 27°

Therefore, the measure of angle ABC = 27°

We know that x = 9

Which means :

Measure of angle CBD :

\( =\tt 15x + 18\)

\( = \tt15 \times 9 + 18\)

\( = \tt135 + 18\)

\(\color{plum} \tt \: angle \: CBD = 153°\)

Thus, angle CBD = 153°

Since the measure of angle ABC and angle CBD equals 180°[27+153=180°], we can conclude that we have found out the correct value of each angle.

Therefore, the measure of angle CBD = 153°

Answer:

1=6

7=42

2.5=15

5=30

Step-by-step explanation:

Multiply each original value by the scale factor

1×6=6

7×6=42

2.5×6=15 (2×6 + 6×0.5)

5×6=30

Answer:

Original: 5 cm = Enlarged: 30 cm

Original: 7 cm = Enlarged: 42 cm

Original: 2.5 cm = Enlarged: 15 cm

Original: 1 cm = Enlarged: 6 cm

Step-by-step explanation:

Edg Warm-up answer 2021

Answer:

57.99 °

Step-by-step explanation:

\(tan( x ) = \frac{16}{10} \\ x = arctan( \frac{16}{10} ) \\ x = 57.99 \: degrees\)

Answer:

3) 57.99°

Step-by-step explanation:

16 is opposite of x° and 10 is adjacent to x°. Therefore, you use tangent because of SOHCAHTOA.

tan(x°)=opposite/adjacent

tan(x°)=16/10

tan⁻¹(tan(x°))=tan⁻¹(16/10)

x°=57.99461679°=58°

So the closest choice is 3) 57.99°

a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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Answer:

angle B is 45 degree.

Step-by-step explanation:

since both radius are equal in a circle the triangle formed is ann isosceles triangle.

base angle of an isosceles triangle are equal

angle B be x

angle A = angle B (being base angles of a triangle)

then angle A is also x

angle A + angle B + angle C =180 degree (sum of interior angles of a triangle)

x + x + 90=180

2x =180-90

x=90/2

x=45 degree

Answer:

uno

Step-by-step explanation:

don't speak Spanish sorry I don't understand you

Answer:

The answer is 7

Step-by-step explanation:

Answer:

3x^2+5x-2

Step-by-step explanation:

(3x-1)(x+2)

3x^2-x+6x-2

3x^2+5x-2

Answer:

The formula for calculating the future value of an investment with compound interest is: FV = PV × (1 + r/n)^(n*t)

Where FV is the future value, PV is the present value, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

Using this formula, we can calculate the future value of Pete's loan:

PV = $58,000

r = 8% = 0.08

n = 2 (compounded semiannually)

t = 6 years

FV = $58,000 × (1 + 0.08/2)^(2*6)

FV = $58,000 × 1.593848

FV = $92,410.64

Therefore, Lynn will receive $92,410.64 at the end of 6 years

\(zeros \begin{cases} x=0\implies &x=0\\ x=9\implies &x-9=0\\ x=9\implies &x-9=0 \end{cases}\qquad \implies a(x)(x-9)(x-9)=\stackrel{y}{0} \\\\\\ \stackrel{\textit{with a coefficient of 1}}{1(x)(x-9)(x-9)=y}\implies x(x-9)^2=y\implies x(x^2-18x+81)=y \\\\\\ ~\hfill {\Large \begin{array}{llll} x^3-18x^2+81x=y \end{array}}~\hfill\)

Answer:

second option

Answer:

Step-by-step explanation:

40 x 1 = 40

20 x 2 = 40

10 x 4 = 40

8 x 5 = 40

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

Answer:

y=-x-2

Step-by-step explanation:

slope-intercept form is y = mx+b

slope is change in y over change in x, which is -5-(-3)/(3-1) = -1

y = -x+b

plugging in a point, like (1,-3), we have -3 = -1+b. b = -3+1 = -2

y = -x-2

Slope

Equation in point slope form

The angle θ measures 53.13⁰ with the east direction.

The tangent of an angle is a trigonometric function that is defined as the ratio of the side opposite the angle to the side adjacent to the angle in a right triangle. In other words, it is a measure of the steepness of a line that is tangent to a point on a function's graph and is represented by the symbol tan. It is one of the three main trigonometric functions, along with sine and cosine. The value of tangent is always positive in the first and fourth quadrants.

let the angle made be θ degree to the north of east from the post office to the grocery shop

so tan θ = p/b

where p is perpendicular , b is base of the triangle

so tan θ = 3/4

=> θ = 53.13 degree

so the angle θ measures 53.13⁰ with the east direction.

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Complete question :

what is the angle (in degrees) north of east from the post office to the grocery store in centralburg? express your answer in degrees to two significant figures.

When looking east, the angle is 53.\(13^{0}\) degrees.

What does a tangent to any angle mean?

The ratio of a right triangle's side opposite to its side next to the angle is known as the tangent of an angle, which is a trigonometric function. It is a measurement of the steepness of a line that is tangent to a point on the graph of a function, and it is denoted by the symbol tan. One of the three primary trigonometric functions, together with sine and cosine, is it. In the first and fourth quadrants, tangent's value is always positive.

Let the angle formed between the post office and the grocery store be degrees to the north of east.

so tan θ = p/b

where p is perpendicular , b is base of the triangle

so tan θ = 3/4

=> θ = 53.13 degree

so the angle θ measures 53.13⁰ with the east direction.

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Complete question :

What is the angle (in degrees) north of east from the post office to the grocery store in centralburg? express your answer in degrees to two significant figures.

Answer:

1+1=2

Step-by-step explanation:

if you have 1 apple and then your friend gave you another apple now you have 2 apples

Answer:

smile mean laugh.

thank u

Answer:

I think that is 8 im not too sure

Step-by-step explanation:

The equation for the transformed function g(x) is: g(x) = 2.323 (4) raise to the power x-0.872/2

How to solve a function?

If the function f(x) is vertically compressed by a factor of 1/2, the equation for the new function g(x) is given by:

g(x) = a(4) raise to the power x-k/2

where "a" and "k" are constants that need to be determined. To find these constants, we can use the fact that the original function f(x) is equal to g(x) when the compression is applied:

f(x) = g(x)/2

Substituting the expression for g(x) into this equation and simplifying, we get:

4raise to the power x - 6 = a(4)raise to the power x-k/2

To solve for "a" and "k", we need to find two equations involving these variables. One way to do this is to evaluate the expression for f(x) at two different values of x, and then set those equal to the corresponding values of g(x)/2. For example, we can choose x = 0 and x = 1:

f(0) = 4 - 6 = -5

f(1) = 4- 6 = -2

Using the equation g(x)/2 = f(x), we can write:

g(0)/2 = -5

g(1)/2 = -2

Substituting the expression for g(x) into these equations, we get:

a(4) raise to the power -k/2 = -10

a(4) raise to the power 1-k/2 = -4

Taking the ratio of these two equations, we can eliminate the variable "a" and solve for "k":

(4)raise to the power -k/2 / (4)  raise to the power 1-k/2 = -10 / -4

Simplifying this equation, we get:

4.raise to the power(1-k/2) = 5

Taking the logarithm of both sides (with base 4), we get:

1-k/2 = log4(5)

Solving for "k", we get:

k = 2 - 2 log4(5)

Substituting this value of "k" back into one of the equations we derived earlier, we can solve for "a":

a = -10 / (4)   raise to the power  -k/2

Substituting the numerical value of "k", we get:

k = 2 - 2 log4(5) ≈ 0.872

a = -10 / (4) raise ti the power  -k/2 ≈ 2.323

Therefore, the equation for the transformed function g(x) is:

g(x) = 2.323 (4)raise to the power x-0.872/2

or equivalently:

g(x) = 1.1615 (4) raise to the power -x0.872

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Answer:

g(x) = 1/2 (4)^x - 3

Step-by-step explanation:

A vertical compression by a factor of 1/2

means that the entire function f is multiplied by 1/2:

1/2 f (x) = 1/2 (4^x - 6)

= 1/2 (4)^x - 3