What is the value of x in the equation

Answer:

A. 29.1020

Step-by-step explanation:

Rewrite it:

29°6'6"

29° + 6(1/60)° + 6(1/3600)°

Simplify:

29° + 0.1° + 0.002°

= 29.102

So, the correct answer is A, 29.1020

Answer:

Value 2 years from today 4%

Value one year from today5%

Present Value 6%

Step-by-step explanation:

The present value of $4800paid in two years using the following discount rates: 8% in the first year and 7% in the second year will be $4106.88.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

Given the principle amount of $4800

Now, 8% of 4800 ⇒ $384

So amount = 4800 - 384 = $4416

Now, 7% of 4416 ⇒ $309.12

So amount = 4416 - 309.12 = $4106.88

Hence "The present value of $4800paid in two years at a given discount will be $4106.88".

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Step-by-step explanation:

y = -0.25x + 2

The slope is the coefficient of x, which is -0.25.

y-intercept is the constant term, which is 2.

When y = 0, -0.25x + 2 = 0, -0.25x = -2, x = 8.

=> x-intercept = 8.

Answer:

Region D

Step-by-step explanation:

Answer:

D 140 dollars

Step-by-step explanation:

20x7=140

Answer:

D. 140

Step-by-step explanation:

80 ÷ 4 = 20

20 x 7 = 140

Answer:

31. A

32.A

33.B

34.C

Answer:

31. A

32.A

33.B

34.C

Answer:

20 (this is the lowest common denominator)

The calculated measure of m∠PNM is 87 degrees

from the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

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In choosing Fran's company over Shirley's company, the customer saves $160

What is Algebra?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)

As per the given details:

Fran charges f(h) = 25 +135h

Shirley charges s(h) = 65 + 150h

h = number of hedges

Cost in Fran's company for 8 hedges = 25 + 135(8)

= $1105

Cost in Shirley's company for 8 hedges = 65 + 150(8)

= $1265

Cost saved by the customer in choosing Fran's company:

Cost in Shirley's company - Cost in Fran's company

=  $1265 - $1105

=  $160

A customer saves $160 in choosing Fran's company over Shirley's company.

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Answer

x = 5/4

Step-by-step explanation:

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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The correct answers are A) 7cm, C) 9cm and D) 12cm

The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.

If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.

Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:

⇒  \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)

where y is the length of the line in real life. Solving for y, we get:

⇒  \(y = \frac{7 feet} {2cm} *x\)  

⇒  \(y = 3.5 x feet\)

If we put x = 2cm (given) then, y = 7 feet

For y = 21 feet, the value of x = 6cm.

Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.

So, the lines on the drawing that are greater than 21 feet in real life are:

A) 7cm, C) 9cm, D) 12cm

Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm

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Answer:

it is the bottom right answer

Step-by-step explanation:

im  smart

Answer:

Point C

Happy Holidays!

Step-by-step explanation:

ay

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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Answer:

6 ounces is 3/8 pounds. 3/8 * 25 = $9.38

One portion of halibut will cost $9.38

Let understand that 1 pound = 16 ounce

According to the question, 1 pound of halibut cost is at $25

In the same word, 16 ounce of halibut cost also cost $25 because "1 pound = 16 ounce"

It is now stated that one portion of seared halibut requires 6 ounces of halibut.

Now, 6 ounce of halibut will cost: \(($ 25/16) * 6\) = $9.375 ≅ $9.38

So therefore, one portion of halibut will cost $9.38.

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Answer:

P = 9

Step-by-step explanation:

Since \(x\) is approaching 1 from the left/below, we take the part of \(f(x)\) that is defined over \(x<1\), for which we have

\(f(x) = \dfrac{x-1}{\sqrt{x-1}}\)

Since \(x\neq1\), we can simplify this to

\(f(x) = \dfrac{x-1}{(x-1)^{1/2}} = (x-1)^{1/2} = \sqrt{x-1}\)

and this is continuous at \(x=1\), so we can evaluate the limit by directly substituting \(x\).

To summarize:

\(\displaystyle \lim_{x\to1^-} f(x) = \lim_{x\to1} \frac{x-1}{\sqrt{x-1}} = \lim_{x\to1} \sqrt{x-1} = \sqrt{1-1} = \boxed{0}\)

Answer:

Step-by-step explanation:

$100x0.5x1=$5

The current market price for the bond is $870 the yield to maturity is 14.13%

The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)

knowing that:

the formula is:

\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)

Putting the values:

\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)

Using the math we find that the percentage is  approximately 14.13%;

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Answer:

117 units cubed.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

117

Step-by-step explanation:

find all the shown surface area

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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The absolute minimum of the function is f ( -10 ) = -1

Given data ,

Let the function be represented as f ( x )

Now , the function f ( x ) is plotted on the graph

where the minimum of a function is the smallest value that the function takes on over its entire domain.

It is the point on the graph of the function that is the lowest possible point

So , the function has the minimum value of - 1 at the point x = -10

Hence , the minimum of function is f ( -10 ) = -1

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The price per inch of the wrap is $0.01 or 100cent

A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

For example, If the age of Roy is x what will be his age in five years time.

His age five years time will be x+5

9 foot roll cost $1.08

1 foot = 12 inches

9 feet = 9 × 12

= 108 inches

Therefore 108 inches = 1.08

1 inch = 1.08/108

= $0.01

= 100cents

therefore the price of the wrap per inch is $0.01 or 100 cent.

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The value of y is 48

y= kx

let's solve for k which is the constant

y= 8 , x= 4

k= 8/4

k= 2

Next is to calculate the value of y when x is 24

y = 2 × 24

y= 48

Hence the value of y is 48

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Answer:

First choice.

Step-by-step explanation:

The third side cannot be 26 or greater ( as 11 + 15 = 26).

Answer:

it is A i think

Step-by-step explanation:

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

y - 6 = 0 ................ equation 1

x - 4 = 0 ................ equation 2