View the attached image to answer.

For this case

P = 10 000

i=0.055

t=120

After you compute the formula you would get

A = 6 170 141

To answer this question, we need to remember the next theorem:The

We have that the hypotenuse is the largest side of a right triangle. In this case, it is equal to (5 + 20) = 25 units.

The leg of the right triangle we need to find is m, and we know that the projection of m on the hypotenuse is 5 units.

Theref

The value of [x] in the figure given is 54.

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.

Given are two parallel lines.

The two lines are parallel and are intersected by a transversal. Assume

that  -

∠1 = (x +3)°

∠2 = (2x - 61)°

Now, the angle at the vertically opposite position with respect to ∠2 will have same measurements. Let's call this ∠3 = (2x - 61)°.

Now, ∠3 and ∠1 are alternate interior angles and their measures will be equal. So, we can write -

∠1 = ∠3

x + 3 = 2x - 61

3 + 61 = 2x - x

x = 64

The value of [x] is 54

Therefore, the value of [x] in the figure given is 54.

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Answer:

I am 80% positive that it is DE but there is still that other 20% so keep in mind I am not entirely sure

Answer:

Step-by-step explanation:

We need to find the volume of the cone with:

First, find the height, using Pythagorean, where hypotenuse of the triangle is 8 cm and base is the radius = 5 cm/2 = 2.5 cm:

Find the volume of the cone:

Answer:

3rd option

Step-by-step explanation:

In the 3rd option, two sides from each triangle in the large triangle are compared.

The equation y = –117.5 x + 31,379.9 gives the population y of a city in x years after 1975 , in real world ,

Rate of Change means The city’s population decreases by about 118 people each year , and Y-intercept means  In 1975, the city’s population was about 31,380 people.

In the question ,

the equation that gives the population y of a city in x years is

y = –117.5 x + 31,379.9

let us find the population for 1976

So , x = 1 ,

we get , y = –117.5(1) + 31,379.9

y = –117.5 + 31,379.9

y = 31262.4

So, the population in the year 1976 is 31262.4

change in population = population in 1976 - population in 1975

= 31262.4 - 31,379.9

= -117.5

≈ -118

to find the population in the year 1977

x = 2 ,

we get , y = –117.5(2) + 31,379.9

= –235 + 31,379.9

= 31144.9

change in population = population in 1977 - population in 1976

= 31144.9 - 31262.4

= -117.5

≈ -118

From above , we can see that the population is decreasing in the year 1976 and 1977 , by  118 people,

hence , we can say that , the city’s population decreases by about 118 people each year

For population in 1975 , we put x=0 ,

So , y = –117.5(0) + 31,379.9

= 31379.9

≈ 31380

Therefore , the equation y = –117.5 x + 31,379.9 gives the population y of a city in x years after 1975 , in real world ,

Rate of Change means The city’s population decreases by about 118 people each year , and Y-intercept means  In 1975, the city’s population was about 31,380 people .

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Answer:

x > 56

Step-by-step explanation:

x/8 - 13 > -6

x/8 > 7

x > 56

The first table represents a linear function.

A linear function is one that changes at a constant rate. Any linear function has an increase or decrease that is constant. The slope of the line, denoted by the letter m in the equation y = mx + b, is this constant rate of change.

Given are the tables with values of x and y.

In a table of linear functions, the ratio of the difference in y values to the difference in x values is consistently constant.

The first table is given as:

x y

1 3

2 7

3 11

4 15

Only table 1 in the provided tables represents a linear function.

This is because the equivalent values of y change by 4 when the value of x changes by 1.

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Answer:

answer to question 1: 24

Explanation: (btw sorry i couldn't answer question 2) multiply 8 times 3 and you get the answer

The required group of number is 24 of 1/8 in 3.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given numbers are 1/8 and 3.

Let there are n number of groups of 1/8 in 3.

To find the value of number of groups n,

Use equation form,

1/8 n = 3

n = 3 x 8

n = 24.

There are 24 groups of 1/8 in 3.

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Answer:

48

hope its right sorryyyy

Answer:

BC ≈ 9.0

Step-by-step explanation:

using the tangent ratio in the right triangle

tan42° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{10}[/tex] ( multiply both sides by 10 )

10 × tan42° = BC , then

BC ≈ 9.0 ( to 1 dec. place )

Answer:

Step-by-step explanation:

Remember that for a given terminal point of an angle, we define those trigonometric functions as following:

This way, we'll have that:

The values are given as:

(a) Approximate the value of e^6 to 4 decimal places:

The value of

The approximate value to 4 decimal places is 403.4288.

(b) Approximate the value of e^(-0.66) to 4 decimal places:

Approximated value to 4 decimal places is 0.5168..

Answer:

1.7^28/1.6^21 the second option.

Step-by-step explanation:

ANSWER

194 grams

EXPLANATION

We have that the half life of the uranium is 2 years.

This means that it will take 2 years for the uranium to decay to half of its original value.

The formula for exponential decay is:

where y = the value after the decay

a = initial value

b = rate of decay.

t = number of years

First, we have to find b.

We have that 776 grams of uranium will decay to half its amount (388 grams) in 2 years. This means that:

Therefore, after 4 years (t = 4), the amount of uranium left will be:

That is the amount of uranium that will be left after 4 years.

The function has no minimum or maximum

The function is given as

f(x) = -2/3x + 5 if x < 0

f(x) = -x^2 + 4x + 5 if x > 4

The above function is a piecewise function

And the type of functions in the piecewise function are

A linear function does not have a minimum or a maximum

This means that the function would have no minimum or maximum

Hence, the minimum or the maximum value of the function does not exist

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Answer:

See below

Step-by-step explanation:

1   note the other angle at d = 62   ( isosceles triangle)

2  x = 180 - 62 - 62 -25

Answer:

x = 31°

Step-by-step explanation:

since AB = BD then Δ ABD is isosceles with base angles congruent, so

∠ ADB = ∠ BAD = 62°

the sum of the 3 angle in Δ ABD = 180° , so

∠ ABD = 180° - 62° - 62° = 180° - 124° = 56°

∠ ABD and ∠ CBD are a linear pair and sum to 180° , so

56° + ∠ CBD = 180° ( subtract 56° from both sides )

∠ CBD = 124°

the 3 angles in Δ CBD sum to 180° , then

x + 124° + 25° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

see image

Step-by-step explanation:

See attached image

Answer:

1575

Step-by-step explanation:

Comment

You are just asked to figure out the commission. The rule is to place 100 underneath what is given as the %. In effect, % = x / 100 in decimal form. In this case x = 2.5

So the % is 2.5/100 = 0.025 as a decimal

So commission is 63000 * 0.025 = $1575 commission

In figure one the value of   ∠2 = 65 °  ∠1 = 115° .

In figure two the value of   ∠2 = 74°  ∠1 = 106°.

In the case of parallel lines, corresponding angles are congruent. Corresponding pairs are all angles that are situated in the same location with respect to the parallel and transversal lines. According to the definition of corresponding angles, when three parallel lines intersect two of them, the angles that are present at each intersection and are in the same relative position are said to be corresponding angles. Alternate angles, co-Interior angles, and matching angles are three facts regarding angles in parallel lines that we use to do this. When a transversal crosses two parallel lines, alternate and matching angle pairs coincide. Only when a transversal crosses two parallel lines perpendicularly are consecutive angles congruent. When a transversal intersects two parallel lines, however, subsequent angles are not necessary.

Figure 1

Given angle = 65°

=  ∠2

Cause they are corresponding angles.

∠1  + ∠2 = 180°

∠1   = 115

Figure 2

Given angle = 74 °

= ∠ 2

Cause they are corresponding angles.

∠1  + ∠2 = 180°

∠1   = 106°

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Answer:

Total moving cost = $2,053.84

Step-by-step explanation:

Let's write down Jay's requirements and costs associated

9 hours of loading/unloading at $95 per hour = 95 x 9 = $855

7 hours of packing/unpacking at $80 per hour = 80 x 7 = $560

200 miles of transportation at $2.50 per mile = 2.50 x 200 = $500

Total before-tax cost of moving = $855 +  $560 + $500 = $1, 915

Sales Tax is additional at 7.25%

Sales Tax amount = 1915 x 7.25%

= 1915 x 7.25/100 = 138.8375 = $138.84

Total cost including sales tax = 1915.00 + 138.84 = $2,053.84

The amount of money that will be in the account after 4 years is $3,583.16

How many times is interest compounded annually?

The fact that the interest rate of 9% in this scenario is compounded daily means that the interest is compounded every day of the year, 365 days in a year, hence, our future value formula needs an adjustment for daily compounding as shown below:

FV=PV*(1+r/m)^(n*m)

FV=the accumulated balance in the account after 4 years=unknown

PV=amount invested or deposited initially=$2500

r=annual interest=9%

m=number of times in a year that interest is compounded=365

n=number of years=4

FV=$2500*(1+9%/365)^(4*365)

FV=$3,583.16

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The function is -|x+3|. The range is (-∞,0].

Given that,

The function is -|x+3|

We must determine the function's range.

A function's domain and range are its constituent parts. The domain of a function is the set of all possible input values, whereas the range of a function is its potential output. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A → B exists that maps every element of A to an element in B.

The function is -|x+3|

The domain is (-∞,∞)

The range is (-∞,0]

Therefore, the range is (-∞,0].

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By evaluating the given linear equation, we will see that the missing values in the table are:

Here we have a table that relates the inputs, x, with the outputs, y, of the linear equation:

y = 2x + 1

To find the missing values we need to evaluate the linear equation in the given inputs, a is the value that we get when x = -2, evaluating in that we get:

a = 2*(-2) + 1

a = -4 + 1

a = -3

The value of b is what we get when x = 0.

b = 2*0 + 1

b = 1

The value of c is what we get when x = 1.

c = 2*1 + 1

c = 3

The value of d is what we get when x = 2.

d = 2*2 + 1

d = 4 + 1

d = 5

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