Evaluate the expression for the given variable. 7-y÷5/8;y=1/4

Answer:

$26,986.29

Step-by-step explanation:

We can use the formula for calculating the depreciation of an asset over time:

wor

\(\bold{D = P(1 - \frac{r}{100} )^t}\)

where:

D= the current value of the asset

P = the initial purchase price of the asset

r = the annual depreciation rate as a decimal

t = the number of years the asset has been in use

In this case, we have:

P = $39,600

r = 12% = 0.12

t = 3 years

Substituting these values into the formula, we get:

\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)

Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.

Answer:

$26,986.29

Step-by-step explanation:

As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.

\(\boxed{f(t)=a(1-r)^t}\)

where:

In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:

\(f(t)=39600(1-0.12)^t\)

\(f(t)=39600(0.88)^t\)

To calculate the value of the car after 3 years, substitute t = 3 into the function:

\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)

Therefore, the car is worth $26,986.29 after 3 years.

Answer:

1.) .399

2.) {.369, .429}

Step-by-step explanation:

The proportion of criminals in this sample that were caught was \(\frac{286}{716}\)=.39944, .399 rounded to three decimal places.

To construct the confidence interval, you need three pieces of information: the statistic, the critical value, and the standard error.

The statistic is given in the first part of the problem with the proportion of criminals in the sample that were caught was .399.

The critical value, we are told, is the z equivalent of 90%, or 1.645. You can find this value using a z table or with the inverse normal function on a calculator.

Finally, we need the standard error. The formula for standard error for a proportion with a single population is \(\sqrt{\frac{(proportion)(1-proportion)}{sample size} }\)so in this situation it would be \(\sqrt{\frac{(.399)(.601)}{716} }\)=.0183.

The confidence interval would be .399±.018×1.645 or .399±.030 {.369, .429}

Answer:

a) B=65, c=20, a=18

b) A=55, B=35, c=12.5

c) b=4.95, a=7.2, B=55

Step-by-step explanation:

The sine of an angle is the ratio of the opposite side to the hypotenuse.

The cosine of an angle is the ratio of the adjacent side to the hypotenuse.

For a:

sin25=8/c

From the table sin25=.40

So .40=8/c and so c=8/.4=20

Similarly, cosine can be used to find a.

For the angles, the acute angles of a right triangle will add up to 90.

Based on the time it takes to patrol one neighborhood, the number of neighborhoods that the sheriff can patrol in 5/8 of an hour is 3.125 neighborhoods

The number of neighborhoods that the sheriff can patrol in 5/8 hours depends on the number of hours that it takes the sheriff to patrol one neighborhood.

The number of neighborhoods she can patrol can therefore be found by the formula:

= Number of hours sheriff has / Number of hours required to patrol one neighborhood

= 5/8 ÷ 3/15

= 5/8 x 15/ 3

= 75 / 24

= 3.125 neighborhoods

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Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

\( \underline{ \underline{ \text{To \: find}}} : \)

\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)

\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)

⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)

⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)

⤑ \( \sf{ \sqrt{100 - 64}} \)

⤑ \( \sf{ \sqrt{36}} \)

⤑ \( \boxed{ \sf{6\: units}}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

4700 ft

Step-by-step explanation:

Find the area (l x w)

94 x 50 = 4700 feet

DON'T FORGET UNITS

Answer:

simple ans in 90

Step-by-step explanation:

because 40 + 50 = 90

Answer:

A

Step-by-step explanation:

thanks for branliest :)

Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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Answer:

it’s SAA

Step-by-step explanation:

ur wlcm, i am sure of my answer

brainliest please?

If R(x, y) is a point that needs to be rotated about the origin, then coordinates of this point after the 90° rotation will be R'= (y, -x)

When rotated through 90° about the origin in the clockwise direction, the new position of point P (2, 3) will become P' (3, -2)  

So, each point has to be rotated and new coordinates have to be found. Then we can join the points and find the new positioned figure.

Thus, if R(x, y) is a point, then the coordinates of this point after the 90° rotation will be R'= (y, -x).

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The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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Answer:   D is correct

Step-by-step explanation:

everything under the X side can be multiplied by 5 and equal Y

Answer:

C

Step-by-step explanation:

This question is incomplete, the complete question is;

Based on historical data, your team knows what proportion of the company's number of orders come from Indiana residents. However, your team would like to expand its orders beyond the state of Indiana. By the end of this year, you think you would like your total proportion of orders from Indiana to be between 0.66 and 0.73. If you took a simple random sample of 99 current orders, what is the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73

Note: You should carefully round any intermediate calculations to 4 decimal places to match wamap's approach and calculations. After you round to 4 places, use THAT rounded value in later steps. You may need an appropriate population proportion (which you actually found in a previous problem).

Some data:

Total population: 2327

Indiana residents: 1845

Other: 482

Frequency table results for Total Sales:

Count = 2327

Total Sales                          Frequency

0 to 200                                1960

200 to 400                           303

400 to 600                            53

600 to 800                             9

800 to 1000                            2

Answer:

The probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612

Step-by-step explanation:

Given the data in the question;

p" = Indiana residents / Total population

p" =  1845 / 2327

p" = 0.7929

Now, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 will be;

P( 0.66 < p < 0.73 ) = P{ [x1 - p" / √( p"(1-p")/n )] < p < [x2 - p" / √( p"(1-p")/n )] }

we substitute

= P{ [0.66 - 0.7929 / √( 0.7929(1-0.7929)/99 )] < p < [0.73 - 0.7929 / √( 0.7929(1-0.7929)/99 )] }

=  P{ [-0.1329 / 0.0407] < p < [-0.0629 / 0.0407] }

= P{ -3.2654 < z < -1.5455 }

= ⊕( -1.5455) - ⊕(-3.2654)

from the standard normal table;

= 0.0618 - 0.0006

P( 0.66 < p < 0.73 ) = 0.0612

Therefore, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612

Answer:

$7/lb

Step-by-step explanation:

$70 / 10 lb = $7/lb

Answer:

$7 per pound of letuce

Step-by-step explanation:

We know

10 pounds = $70

1 pounds = ?

We cross multiply and get:

$7 per pound of letuce

So, the answer is $7 per pound of letuce

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

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Answer:

x=12 Proportion should be 1 2/3

Step-by-step explanation:

To find PT, subtract 26 from 65= 39

26/39 is equal to 2/3, so 30/(4x-3) should also be equal to 2/3

30/(4x-3)=2/3 (Cross Multiply)

30*3=90

2(4x-3)=8x-6

8x-6=90 (Add 6 to both sides)

8x=96 (Divide 8 from both sides)

x=12

QT is equal to 4(12)-3=45

RT is 75

Proportion: 65/39=1 2/3

75/45=1 2/3

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

Solution:

Given the image;

The hypotenuse side of the right angle is given. Then, the opposite side to the angle is z and the adjacent side is y.

We would use the cosine ratio where;

Then;

Also, we would use sine ratio where;

Then;

FINAL ANSWERS:

Sasha buys 5 boxes crackers for 12.25 if each box cost the same amount  one box of crackers costs $2.45.

To find the cost of one box of crackers, we can use the concept of unit rate, which is the cost per one unit. In this case, we want to find the cost per one box of crackers.

If Sasha bought 5 boxes of crackers for a total of $12.25, we can set up a proportion to find the cost of one box of crackers:

5 boxes / $12.25 = 1 box / x

Here, "x" represents the cost of one box of crackers. We can solve for "x" by cross-multiplying the proportion:

5 boxes * x = $12.25 * 1 box

5x = $12.25

x = $12.25 / 5

x = $2.45

To check our answer, we can multiply the cost of one box by the number of boxes Sasha bought:

$2.45 * 5 boxes = $12.25

This confirms that our answer is correct.

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Complete question is:

Sasha buys 5 boxes crackers for 12.25, if each box cost the same amount, then how much does 1 box of the crackers cost?

Answer:

k= 13

Step-by-step explanation:

If principal is $2,658 and rate of interest 9% then the value of  the account balance is approximately $10,253 by using continuous compound interest formula.

Recurring interest is interest calculated on principal plus all interest and other interest. The idea is that lenders always receive interest, not individually at specific times.

The formula for continuous compound interest :

  A=    Peˣⁿ                          

Where,

A =Amount of money  after a certain amount of time

P= principal or the amount of money you start with

e =Napier's number, which is approximately 2.7183

x =Interest rate

n =Amount of time in years.

Use the continuous compound interest formula :

Given  P= 2658

x =9% =   = 0.09

n = 15

e = 2.7183

By using

A=    Peˣⁿ  

A= (2658)(2.7183)⁰°⁰⁹¹⁵

A =10,253 (approximately)

Hence, the value of account balance after 15 years is approximately $10,253

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An equation of a line parallel to that passes y = 4/3x + 4 through the point (3, -7) include the following: A. y + 7 = 4/3(x - 3).

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

Since y = 4x/3 + 4, the slope is equal to 4/3.

At data point (3, -7) and a slope of 4/3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-7) = 4/3(x - 3)  

y + 7 = 4/3(x - 3)  

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x^2 + y^2 + 2x – 10y + 10 = 0

x^2 + 2x + y^2 - 10y = 0

We must complete the square in x and y.

(x^2 + 2x + 1) + (y^2 -10y + 25) = 4 + 25

(x + 1)^2 + (y - 5)^2 = 29

The radius r is found solving r^2 = 29 for y.

(x + 1)^2 + (y - 5)^2 = sqrt{29}

See picture for the center and radius.

Step-by-step explanation:

In the figure,

145° and 3x - 5 are vertically opposite angles which are equal, so

=> 3x - 5 = 145°

=> 3x = 145 + 5

=> 3x = 150°

=> x = 150°/3

=> x = 50°

Answer:

x = 50

explanation:

vertically opposite angles are of equal measure.

solve:

3x - 5 = 145

3x = 145 + 5

3x = 150

x = 50

Answer:

7x6-2=40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

7k -2 =

7(6) - 2

42 -2

40

You are welcome!

Kayden Kohl

8th Grade Student

Answer:

Area = length * width

112 = (2w+2)*w

112 = 2w^2 + 2w

0 =2w^2 + 2w - 112

0 = w^2 + w - 56

0 = (  w  +  8  )( w  -    7  )

w+8=0  results in negative measures

w-7=0 --> w = 7

width is 7

length is 16

Answer:

Step-by-step explanation:

The vertices of the already rotated triangle are:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Answer:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Step-by-step explanation:

The calculated measure of t from the given equation is 15 degrees

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

10

to

25°

When expressed properly, we have

10° + t° = 25°

Evaluate the like terms

So, we have

t° = 15°

Hence, the value of t° is 25°

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Step-by-step explanation:

12p = £0.12

to answer how many elastic bands are in the bag we need to find out how often £0.12 fits into £6.

and that we do by division :

6 ÷ 0.12 = 50

so, there are 50 elastic bands in the bag.

if you cannot use a calculator, this is how you solve this by hand relatively easily :

6 / 0.12 = 6 / 12/100 = 6 × 100/12 = 1 × 100/2 = 50

The surface area of given triangular prism = 24 ft².

For the given triangular prism

Base = 2 ft

height = 3 ft

side = 3ft

We know that,

Surface area of triangular prism

= side x base + 3x base x height

=  3 x 2  + 3x2x3

= 6 + 18

= 24 ft²

Thus,

Surface area = 24 ft²

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