emma deposits $90 into a bank that pays 4% simple interest per year. calculate the value in dollars) of her deposit after 3 years? write the correct answer.
10.80

Answer:

  150°

Step-by-step explanation:

You want to know the measure of an interior angle of a regular polygon that has twice as many sides as one with an interior angle of 120°.

The exterior angle of a regular polygon is the supplement of the interior angle. The polygon with an interior angle of 120° has an exterior angle of ...

  180° -120° = 60°

The sum of exterior angles is 360°, so there must be 360°/60° = 6 of them. In the polygon with twice as many sides, there will be twice as many exterior angles, so each will measure 360°/12 = 30°.

The corresponding interior angle is ...

  180° -30° = 150°

The measure of each interior angle of the second polygon is 150°.

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Answer:

1. B= 6

2. B= 3.333333333

3. B= 12

Step-by-step explanation:

1. 14/ 2 1/3 (two and one third)=6

2. 14/ 4 1/5(four and one fifth)= 3.333333333

3. 14/ 7/6 (seven sixth)= 12

Answer:

The length and width of the roof can be used to calculate the total square footage of the roof. For example, if the roof is 20 feet long and 10 feet wide, the total square footage would be 200 square feet.

Once the total square footage is known, the number of sheets of plywood needed can be calculated. Each sheet of plywood is 4 feet x 8 feet, or 32 square feet. Therefore, 200 square feet of roof would require (200/32 = 6.25) 6.25 sheets of plywood. In order to cover the entire roof, 7 sheets of plywood would need to be used.

Step-by-step explanation:

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

\(y = mx+b\)

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

\(y = mx+b\)

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

Answer: 1 Student

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

To figure out the midpoint, you need to plug the coordinates into the midpoint formula.

M (x1 + x2 / 2, y1 + y2/2)

M [ 2 + (-3)/2,  5 + 9/2]

M ( -1/2, 7)

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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This question is incomplete

Complete Question

The little league team called the Hawks has 7 brunettes, 5 blonds, and 2 red heads.

The entire little league division that The Hawks belong to has the same ratio of redheads to everyone else.

What is the total number of redheads in that division if the total number of players is 126?

Answer:

18 red heads

Step-by-step explanation:

We are told:

The little league team called the Hawks has 7 brunettes, 5 blonds, and 2 red heads.

Hence, we have the ratio

7: 5: 2

Adding up the ratios together

7 + 5 + 2

= 14

The total number of players is 126

Hence, the total number of redheads in that division is

2/14 × 126

= 18 red heads.

The area under the curve of the function from x = 1 to x = 13 is -36 square units for both overestimation and underestimation.

The height of the second rectangle is f(4), the height of the third rectangle is f(7), and the height of the fourth rectangle is f(10). Overestimate using an upper sum: The area under the curve of the function from x = 1 to x = 13 is to be overestimated using an upper sum. An upper sum is the sum of the areas of the rectangles where the height of each rectangle is the maximum value of the function in the interval of the rectangle. The upper sum is given by: `upper sum = f(1)Δx + f(4)Δx + f(7)Δx + f(10)Δx`. The height of the rectangle starting at x = 1 is f(1) = -13 + 14(1) - (1)² = -12. The height of the rectangle starting at x = 4 is f(4) = -13 + 14(4) - (4)² = 3. The height of the rectangle starting at x = 7 is f(7) = -13 + 14(7) - (7)² = -20. The height of the rectangle starting at x = 10 is f(10) = -13 + 14(10) - (10)² = 17. Thus, `upper sum = (-12)(3) + (3)(3) + (-20)(3) + (17)(3) = -36 + 9 - 60 + 51 = -36`. Therefore, the overestimated area under the curve of the function from x = 1 to x = 13 is -36 square units.

Underestimate using a lower sum: The area under the curve of the function from x = 1 to x = 13 is to be underestimated using a lower sum. The minimum value of the function in the interval of the rectangle starting at x = 7 is f(7) = -20. The minimum value of the function in the interval of the rectangle starting at x = 10 is f(10) = 17. Thus, `lower sum = (-12)(3) + (3)(3) + (-20)(3) + (17)(3) = -36 + 9 - 60 + 51 = -36`. Therefore, the underestimated area under the curve of the function from x = 1 to x = 13 is -36 square units.

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The value of the expressions are not equal

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

p = -3²

q = ( -3 )²

On simplifying the equations , we get

The value of p = -9

The value of q = 9

So , the value of p and q are not equal

Hence , the equations are not equal

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The solution is :  the number of sessions that can be sheduled for each student is 3.75.

The following can be gotten from the question:

Time taken for each session = 4/5 hours

Total time set aside by principal = 3 hours

The number of sessions that can be sheduled for each student will be:

= Total time set aside by principal / time taken for each session

= 3 hours / 4/5 hours

= 3 × 5/4

= 3.75

Hence, The solution is :  the number of sessions that can be sheduled for each student is 3.75.

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complete question:

At cultutral arts day each session lasts 4/5 hours. The principal has set aside 3 hours for the sessions. Determine the number of sessions that can be sheduled for each student

Answer:

10

Step-by-step explanation:

Correct me if I’m wrong it’s been a while but I think u add 3 + 3 + 2+ 2

Answer:

It is 10

Step-by-step explanation:

In order to do perimeter you need to add each corners value, in this case a to B is one side and A to D is another, in order to get from A to B you have to walk 3 units, so their is our first part, now for the second you need to walk from point a to point D which if you do it will be 4 units.

Now we have 2 numbers, 4 and 3, We still have the other side but it will be the same, so you will do 4+4 and 3+3, in this case it will be 8+6 so the answer should be 14. I might be wrong.

Answer:

the answer is D (27 + 4.5 ) + 1.5

Hope that helps

Answer:

Amswer is A

Step-by-step explanation:

Answer:

T=10 B=14

Step-by-step explanation:

t + b = 24

2.5t + 8b = 137

b = 24 - t

2.5t + 8(24 - t) = 137

2.5t +192 - 8t =137

5.5t = 55

t = 10

b = 24 - 10 = 14

b= 14

hope this helps :))

Answer: the answer is C

Step-by-step explanation:

Which operators are commutative?

The operators which are commutative (choose all that apply) are: Average of pairs of real numbersMultiplication of real numbers.

The commutative operator states that the order in which the numbers are computed does not affect the result. Thus, the operators which are commutative (choose all that apply) are the average of pairs of real numbers and the multiplication of real numbers. The commutative property applies to binary operations and is one of the fundamental properties of mathematics. It states that changing the order of the operands does not alter the result of the operation. The addition and multiplication of real numbers are commutative properties. It implies that if we add or multiply two numbers, the result will be the same whether we begin with the first or second number.

Thus, the operators which are commutative (choose all that apply) are: Average of pairs of real numbers and the Multiplication of real numbers.

Therefore, the subtraction of integers and composition of bijective functions from the set {1,2,3} to itself are not commutative operators.

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The ratios for the similar triangles are given as follows:

Similar triangles are triangles that share these two features listed as follows:

The length of one side of one triangle is 4 times that of the corresponding side of the other, hence the constant of the proportional relationship for the side lengths is given as follows:

k = 4.

The perimeter is measured in units, just like the side lengths, while the area is measured in units squared, hence the ratios are given as follows:

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The above expression in terms of 8n can be written as 8(0).

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression.

We are given a an expression (8-8)(8³)

Now the first bracket after simplifying we get an answer is 0.

Hence the expression can be given in the form of 8(n) as 8(0)

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Answer:

ooouuhhggg

Step-by-step explanation:

iiiiijhhhjjjhhjjjnnnnnnjjj

Answer:

0

Step-by-step explanation:

-11p + 11p

=> 0

Answer:

12:15

Step-by-step explanation:

23:15

Add 10 hours

08:15

Add 4 more hours because it's ahead by 4

So 12:15

The time at which they reaches Hong Kong :

And since Hong Kong is 4 hours ahead of Mauritius, the time at which reach at Hong Kong will show up as :

The plane lands at 13 : 15 PM on Wednesday.

The 95% confidence interval is 0.4046 < p < 0.4063.

Given,

The sample size is 1127.

The number that America is getting roughly correctly is k = 457.

In general, the sample fraction of the number that indicates America is doing approximately the proper amount is expressed mathematically as

p = k ÷ n

p = 457 ÷ 1127

p = 0.4055

According to the question, the confidence level is 95%, hence the degree of importance is,

\(\alpha\) = (100 - 95)%

\(\alpha\) = 5%

\(\alpha\) = 0.05

According to the normal distribution table, the critical value of is \(\alpha\) ÷ 2 is,

Z(\(\alpha\)/2) = 1.96

In general, the margin of error is expressed numerically as

E = Z × √(p(1 - p)) ÷ n

E = 1.96 × √(0.4055(1 - 0.4055)) ÷ 1127

E = (1.96 × √(0.4055(1 - 0.4055))) ÷ 1127

E = 0.000853

A 95% confidence interval is typically expressed mathematically as

p - E < p < p + E

0.4055 - 0.000853 < p < 0.4055 + 0.000853

0.4046 < p < 0.4063

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The question is -

In 2015 as part of the General Social Survey, 1127 randomly selected American adults responded to this question: “Some countries are doing more to protect the environment than other countries. In general, do you think that America is doing more than enough, about the right amount, or too little?” Of the respondents, 457 replied that America is doing about the right amount. What is the 95 % confidence interval for the proportion of all American adults who feel that America is doing about the right amount to protect the environment?

Answer:

Divisor:D

Divedend: A

Quotient:C

Step-by-step explanation:

The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

Synthetic division is a method for manually performing Euclidean division of polynomials.

Given that polynomial divisor, dividend and quotient ;

The correct divisor, dividend and quotient are (x+3), (2x³+11x²+18x+9) and (2x²+5x+3) respectively

Hence, The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

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Answer:

the answer is 350

Step-by-step explanation:

if it increased by 200% that means it doubled

so when x is doubled we get 700

so: 2x=700

       x=700/2

       x=350

Answer:

It is zero

Step-by-step explanation:

The attatched should help you understand discriminants:

Answer:C

Step-by-step explanation:

If the discriminant is negative you will have no real roots, if it is positive it will have 2 real roots, only with a discriminant of 0 will you get only one real root. Also, for undefined discriminant that is the same as a negative answer.

The process involves finding the complementary solution x_c(t) by solving the homogeneous equation, determining the particular solution x_p(t) using the method of variation of parameters, and combining them to obtain the general solution x(t).

1. The method of variation of parameters can be used to solve the initial value problem x' = axf(t), x(a) = xa, where a and f(t) are given functions. In this case, we have the values a = 4 - 2t and f(t) = 16t^2. We need to find the solution x(t) using the initial condition x(0) = 2.

2. To solve the initial value problem using the method of variation of parameters, we first find the complementary solution x_c(t) by solving the homogeneous equation x' = ax.

3. For the given a = 4 - 2t, the homogeneous equation becomes x' = (4 - 2t)x. By separation of variables and integration, we find the complementary solution x_c(t) = Ce^(2t - t^2).

4. Next, we find the particular solution x_p(t) by assuming a particular solution of the form x_p(t) = u(t)e^(2t - t^2), where u(t) is a function to be determined.

5. Differentiating x_p(t) and substituting it into the original differential equation, we can solve for u'(t) and determine the form of u(t). After finding u(t), we substitute it back into x_p(t).

6. Finally, the general solution is given by x(t) = x_c(t) + x_p(t). By substituting the values and integrating, we can obtain the specific solution x(t) for the given initial condition.

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Given the congruent angles ∠CAD ≅ ∠CBD and ∠CAB ≅ ∠CBA, we need to prove that the line segment AD is congruent to DB.

By the given information, we have two pairs of congruent angles in triangles CAD and CBD: ∠CAD ≅ ∠CBD and ∠CAB ≅ ∠CBA. This suggests that the two triangles are similar.

Since the angles are congruent, we can apply the Angle-Angle (AA) similarity criterion. According to this criterion, if two pairs of corresponding angles in two triangles are congruent, then the triangles are similar.

Now, since triangles CAD and CBD are similar, we can establish the following ratios of corresponding sides:

\(\frac{CA}{CB} = \frac{AD}{DB}\)

By the properties of similar triangles, the corresponding sides are proportional. Given that ∠CAB ≅ ∠CBA, we can also assume that CA = CB. Thus, we have:

\(\frac{CA}{CB} = \frac{AD}{DB} = \frac{CA}{CA} = 1\)

This implies that AD = DB, proving that the line segment AD is congruent to DB.

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Answer:

Step-by-step explanation:

the 3rd

Answer:

5.

Step-by-step explanation:

The mode is the number that occurs the most in a data set.

Here, the number 5 appears the most.

Answer:

The answer is 5

Step-by-step explanation:

The mode is the value that appears most frequently in a data set.

Hope this helps! Have a nice day!

Answer:

you go from left to right

like this

2.34 + 5.43= 7.77

or do u mean this? (if u mean this then its right to left)

 2.34

+5.43

 7.77

Step-by-step explanation: