the principal P is borrow ar the simple interest rate R for a period of time T. Find the simple interest owed for the use of the money. Assume 360 days in a year and round answer in the nearest cent.1. P=$2000R=7%T=1 year2. P=$110R=5%T=2 year3. P=400R=7%T=2 months 4. P=$15500R=7%T=120 days

Answer:

Step-by-step explanation:

Let's begin by using the definition of complementary angles: two angles are complementary if their sum is 90 degrees. We can express the two angles as x and y, and we know that:

x + y = 90 (equation 1)

We also know that the difference between the angles is 11 degrees, which we can express as:

x - y = 11 (equation 2)

We now have two equations with two unknowns, so we can solve for x and y by adding equation 1 and equation 2, which eliminates the y term:

(x + y) + (x - y) = 90 + 11

2x = 101

x = 50.5

Now we can use equation 1 to solve for y:

x + y = 90

50.5 + y = 90

y = 39.5

Therefore, the measures of the two complementary angles are 50.5 degrees and 39.5 degrees.

The pair of numbers that solves the system is (15.25, 164.5).

The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:

y = 6x + 71 (for Farmer Elentire)

y = 10x + 10 (for Farmer Hopt)

To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.

We can do this by setting the equations equal to each other:

6x + 71 = 10x + 10

Solving for x, we get:

4x = 61

x = 15.25

Now that we know x = 15.25, we can plug this value into either equation to find y.

71 + 6x = 10 + 10x

Subtracting 6x and 10 from both sides, we get:

61 = 4x

Dividing both sides by 4, we get:

x = 15.25

Now we can use either of the original equations to find y. Let's use the first equation:

y = 71 + 6x = 71 + 6(15.25) ≈ 164.5

Using the first equation, we get:

y = 6(15.25) + 71

y = 163.5

Therefore,

The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.

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Answer:

neither

Step-by-step explanation:

First we must determine if both x and -x are in the domain of the function

since it is a polynomial function our first condition is satisfied

Then we should calculate the image of -x :

2x(-x)^3 + 3*(-x)² = -2x^3+3x²

it is not equal to f(x) nor -f(x)

Answer:

\(f(a) = 2a + 8\)

\(f(x + h) = 2x + 2h + 8\)

\(\frac{f(x + h) - f(x)}{h} = 2\)

Step-by-step explanation:

Given

\(f(x) = 2x + 8\)

Required

\(f(a)\)

\(f(x + h)\)

\(\frac{f(x + h) - f(x)}{h}\)

Solving for f(a)

Substitute a for x in the given parameter

\(f(x) = 2x + 8\) becomes

\(f(a) = 2a + 8\)

Solving for f(x+h)

Substitute x + h for x in the given parameter

\(f(x + h) = 2(x + h) + 8\)

Open Bracket

\(f(x + h) = 2x + 2h + 8\)

Solving for \(\frac{f(x + h) - f(x)}{h}\)

Substitute 2x + 2h + 8 for f(x + h), 2x + 8 fof f(x)

\(\frac{f(x + h) - f(x)}{h}\) becomes

\(\frac{2x + 2h + 8 - (2x + 8)}{h}\)

Open Bracket

\(\frac{2x + 2h + 8 - 2x - 8}{h}\)

Collect Like Terms

\(\frac{2x - 2x+ 2h + 8 - 8}{h}\)

Evaluate the numerator

\(\frac{2h}{h}\)

\(2\)

Hence;

\(\frac{f(x + h) - f(x)}{h} = 2\)

Answer:

10 feet

Step-by-step explanation:

20x6= 120

120/12=10

=10 ft

8x=

8-0.25=

7.75

Heart this if it helped!

Answer:

15,659,568

Step-by-step explanation:

To calculate the expression 2308208 * 12 - 12038928, we can follow the order of operations (PEMDAS/BODMAS):

1. Multiply: 2308208 * 12 = 27698496

2. Subtract: 27698496 - 12038928 = 15659568

Therefore, 2308208 * 12 - 12038928 equals 15,659,568.

Answer:

2nd one.

Step-by-step explanation:

Answer:

1014 cm^2

Step-by-step explanation:

A cube has 6 congruent square faces. To find the total surface area, find the surface area of one face,a nd multiply it by 6.

SA = 6s^2

SA = 6(13 cm)^2

SA = 6(169 cm^2)

SA = 1014 cm^2

Answer:

No, it is not a good test point to choose since it's on the boundary.

(0,0) is a better choice

See graph below.

=======================================================

Further Explanation:

The given point (-3,3) has x = -3 and y = 3 pair up together.

Plug those coordinates into the boundary line equation.

y = (4/3)*x + 7

3 = (4/3)*(-3) + 7

3 = -4 + 7

3 = 3

The fact we get a true statement at the end proves that (-3,3) is on the boundary line y = (-4/3)x+7

So the question is: which side of the boundary do we shade? The test point (-3,3) is literally on the fence, and it's indecisive on which side to pick. This is exactly why (-3,3) is a bad choice.

A better choice would be to use (0,0) since 0 is an easy number to work with and because the origin is not on the boundary line. See note below.

Let's plug x = 0 and y = 0 into the inequality.

y < (4/3)x + 7

0 < (4/3)*0 + 7

0 < 0 + 7

0 < 7

The last inequality is true, so (0,0) is in the shaded region. This means we shade everything below the dashed boundary line of y = (4/3)x+7 since (0,0) is below the boundary line.

The graph is shown below.

Side note: The origin is the first choice I'd go for as long as the origin point is not on the boundary. If it is on the boundary, then pick something else on the y axis such as (0,1) as a test point.

a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

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Answer:

See below.

Step-by-step explanation:

A proportion is setting two ratios equal to each other.

Look at the info you are given for price in $ and area in sq ft:

$385 for 70 sq ft

That allows you to write a ratio. The ratio of dollars to square feet is

385/70    (notice it's dollars divided by sq ft)

Now you look at the part of the problem that has an unknown, and you set up the same type of ratio (dollars to sq ft) using x for the unknown.

x dollars to 200 sq ft

The ratio is

x/200     (notice that, again, it's dollars divided by sq ft)

In both cases the ratios are dollars to sq ft.

To set up a proportion, you just set the ratios equal to each other.

385/70 = x/200

Now we solve the proportion. We can cross multiply.

385/70 = x/200

70x = 385 * 200

70x = 77,000

x = 1100

They would charge $1100 to install 200 sq ft of tile.

The unit price is obtained by dividing a cost by the corresponding area in sq ft. you can use either ratio.

unit price = ($385)/(70 sq ft) = $5.5/sq ft

($1100/200 sq ft also works since it is also equal to $5.5/sq ft)

1.2297528e+18

There ya go

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

Answer:

403π/9 or 140.67

Step-by-step explanation:

First, you have to find the circumference of the circle

Circle circumference equation:

Circumference = dπ (Circumference = diameter x pi)

You have a radius of 31 which is equal to 62 diameter (diameter is double the radius)

So:

C = 62π

Now, you need to know that a full circle is 360 degrees and we want only 200 degrees of that,

So in other words, you want 200/360 of the circle's circumference.

You can find the measure of the 200 degree arc by doing

62π x \(\frac{200}{360}\) = \(\frac{403pi}{9}\) or 140.67

To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.

To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.

Let's consider some factors that could affect the amount they would need to purchase:

Perimeter of the pool:

The length of the fence required would depend on the perimeter of the pool.

If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.

Fence height:

The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.

This would determine the length of fencing material they need to purchase.

Fence type and style:

Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.

The choice of fence material and style will impact the amount they would have to buy.

Gates and openings:

If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.

The number and size of gates would affect the total amount of fencing material needed.

With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.

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Answer:

-5

Step-by-step explanation:

5-(-5)/3-5=10/-2=-5

(can I get brainliest please)

Answer:

Both the girls have 62 lollipops

Step-by-step explanation:

25+25=50

50+12=62

Answer:

62 lollipops

Step-by-step explanation:

If Angie has 12 more lollipops than Crystal...

25 + 12 = 37 lollipops

Angie has 37 lollipops and Crystal has 25 lollipops. In total, that is...

37 + 25 = 62 lollipops

A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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Answer:

wioajfcskaljfcksjhnfkmdesdn,k  obviously

Step-by-step explanation:

Answer:

1+1

=2

Step-by-step explanation:

you may consult your nursery class teacher for explanation

haha

Answer:

1+1 = 2

Step-by-step explanation:

For example;

I sell apples. Your mum bought you one. I also dashed you one. Add them and count. Now you have two apples.

Hope it helps.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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The predicted population in the year 2030 is 10 people

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

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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The Correl function is the easiest way to for calculating correlation between two variables.

What is correlation ?

correlation can be defined as the measure of relation between two variables.

In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.

To find correlation using data points are as follows  :

Determine your data sets.

Calculate the standardized value for your x variables.

Calculate the standardized value for your y variables.

Multiply and find the sum.

Divide the sum and determine the correlation coefficient.

Hence, The Correl function is the easiest way to for calculating correlation between two variables.

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The correct statement:

The slope is positive because as the age increases, the value increases.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The table:

x → y

5 →  0.75

10 → 5.75

15 →  10.75

20 → 15.75

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = 15.75 - 10.75 / 20 - 15

m = 1

Therefore, the slope is positive because as the age increases, the value increases.

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First, calculate the average of the salaries from the last three years:

Next, calculate the percentage that Mrs. Brown will get, multiplying 1.8% times the amount of years that she worked:

Finally, calculate what is 50.4% of the average income equal to:

Therefore, the pension is equal to $19,016

Answer:

7x3=21 ... i think

Step-by-step explanation:

the factor of 35 is 1,5,7 and 35 but 7 is the largest prime number like the factors of 15 is 1,3,5 and 15 but 3 is the smallest prime number according to the question the answer is 7x3+21