A man borrows birra 800 for 2 years at a simple interest rate of 20 percent. What's the total amount that nyatta be repaid

The number of feet in 1 inch is 15 feet.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, in the scale drawing, the length of the cafeteria is 8 inches. the length of the actual cafeteria is 96 feet.

Here, 8 inches = 96 feet

1 inches = 96/8 feet

1 inches = 15 feet

Therefore, the number of feet in 1 inch is 15 feet.

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Type of sequence: arithmetic progression

Explicit formula: 5n

Recursive formula: \(5_{n-1}\) + 5

A Sequence is a series of numbers in a regular pattern of increment. A sequence can be arithmetic or geometric in nature.

Given that a total value of a collection of nickels can be described by this sequence: 5, 10, 15, 20, 25, 30, .....

The difference in the sequence above is 10 - 5 = 5. There is an increment of 5 in each term.

Therefore, the type of sequence is arithmetic progression

The difference d = 5 and the first term is also 5

An explicit formula will be

a + (n - 1)d

substitute a and d into the formula

5 + (n - 1)5

5 + 5n - 5

5n

Therefore, 5n gives the value of a specific term based on the position

A recursive formula will be

\(a_{n-1}\) + d

substitute a and d into the formula

\(5_{n-1}\) + 5

Therefore, \(5_{n-1}\) + 5 gives the value of a specific term based on the previous term

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Answer:

-8

Step-by-step explanation:

In order to find the answer to this question you need to use the slope formula, substitute, subtract, and simplify if needed.

\((9,5),(4,1) = (x^1,y^1), (x^2,y^2)\)

\(m = \frac{y^2-y^1}{x^2-x^1} = \frac{9-1}{4-5}\)

\(9-1=8\)

\(4-5=-1\)

\(= -8\)

Hope this helps.

Answer:

-78

Step-by-step explanation:

Answer:

to advance from 7th to 21st term of an arithmetic sequence one must add the constant difference 14 times. from 21 to 301 is advancement by 280, in total; thus d = 280/14 = 20. Tenth term is 21 + 3(20) = 81

Step-by-step explanation:

hope this helps

Answer: 7

Step-by-step explanation:

A function composed with its inverse results in an output equal to the original input.

The correct answer for part c is option d: (XA1 XOR XA2). This Boolean expression uses XOR (exclusive OR) which means that either XA1 = 1 and XA2 = 0, or XA1 = 0 and XA2 = 1,

Indicating class A is scheduled during exactly one of the two periods.
For part d, the correct answer is option a: (XA1 XOR XB1)(XA2 XOR XB2). This expression ensures that classes A and B are not scheduled during the same period.

If A is in period 1 and B is not, or vice versa (XA1 XOR XB1 = 1), and if A is in period 2 and B is not, or vice versa (XA2 XOR XB2 = 1), then the overall expression will be true.

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Answer:

$8.50

Step-by-step explanation:

Multiply the cost by the amount of candy she bought, your equation will look like this:

2(0.75) + 3(1) + 5(1.40)

Multiplying everything makes the equation into:

1.5 + 3 + 7

Adding everything makes the total cost 11.50.

Subtract 11.50 from 20, and the answer is 8.50

The most direct way to measure how dispersed a set of scores is, is by using the range. The range is calculated by subtracting the lowest score from the highest score in the dataset, which gives a quick and easy measure of the spread of the scores.

However, the range can be influenced by extreme scores and may not provide a complete picture of the variability. Other measures of variability, such as the standard deviation and variance, take into account the variability of all scores in the dataset and provide a more robust measure of variability.

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Answer:

B

Step-by-step explanation:

Because you have to solve for the variable, making it algebraic.

Answer:

Hey there. Heres ur answer

Fifth degree polynomials are also known as quintic polynomials. Quintics have these characteristics:

One to five roots.

Zero to four extrema.

One to three inflection points.

Answer:

Yes, It is

Step-by-step explanation:

0.005

Divide the numerator by the denominator, to find the answer

Answer:

A number sentence is a mathematical sentence made up of numbers and signs. So for example 15 + 7.

They can use any of the mathematical operations so addition, subtraction, multiplication and division

Number sentences can be true or false. Example, 5 + 7 = 13

good luck, i hope this helps :)

Answer:

48r

Step-by-step explanation:

Answer:

pretty sure its 2 mugs

Step-by-step explanation: i might be wrong

Answer:

4/6

Step-by-step explanation:

Answer:

360 degrees

Step-by-step explanation:

We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as  the exterior angles of the given triangles, their sum will be 360 degrees as well.

Answer:

Step-by-step explanation:

240 | Total

6x10=60 square feet | Bathroom

240-60=180

Square foot of 180 is 16.7225

Length of Anthony's bathroom is 16.7225

The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.

A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.

In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.

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Answer:

A, C, F, G (1 in.^3, 8 in.^3, 27 in.^3, 64 in.^3.)

Step-by-step explanation:

Answer:

A

C

F

G

Step-by-step explanation:

I got it right on the question.

Answer:

40cm is the answer I got

The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

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Answer:

C. 50

Step-by-step explanation:

Range is the highest value minus the lowest value:

Highest value: 93

Lowest value: 43

93 - 43 = 50

The number of different sequences of crabapple recipients that are possible in a week are 14,641.

In Mrs. Crabapple's British literature class, there are 11 students, and she gives out a crabapple at the beginning of each of the 4 class meetings per week.
To determine the number of different sequences of crabapple recipients, we will calculate the number of possibilities for each class meeting and multiply them together. Since she can pick any of the 11 students for each class, there are:
11 possibilities for the first class,
11 possibilities for the second class,
11 possibilities for the third class, and
11 possibilities for the fourth class.
So, the total number of different sequences of crabapple recipients in a week is:
11 * 11 * 11 * 11 = 11^4 = 14,641 different sequences.

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By using the same logic and identity, we can also say that ¬(p∨¬q) is equivalent to q∧¬p.

a. To find the given series i.e.,  5∑n=0(9(2)n)−7(−3)nTo find 5∑n=0(9(2)n)−7(−3)n,

we need to find the first five terms of the series. The given series is,

5∑n=0(9(2)n)−7(−3)n5[(9(2)0)−7(−3)0] + [(9(2)1)−7(−3)1] + [(9(2)2)−7(−3)2] + [(9(2)3)−7(−3)3] + [(9(2)4)−7(−3)4]

After evaluating, we get:

5[(9*1) - 7*1] + [(9*2) - 7*(-3)] + [(9*4) - 7*9] + [(9*8) - 7*(-27)] + [(9*16) - 7*81]15 + 57 + 263 + 1089 + 4131= 5555b.

Given premises: p → q, ¬p → r, r → s.

We are to prove that ¬q → s. i.e.,

Premises: (p → q), (¬p → r), (r → s)

Conclusion: ¬q → s

To prove ¬q → s,

we need to assume ¬q and show that s follows.

Then we use the premises to derive s.

Proof:

1. ¬q        Assumption

2. ¬(¬q)    Double negation

3. p         Modus tollens 2,1 & p → q

4. ¬¬p      Double negation

5. ¬p        Modus ponens 4,3 (Conditional elimination)

6. r         Modus ponens 5,2 (Conditional elimination)

7. s         Modus ponens 6,3 (Conditional elimination)

8. ¬q → s     Conditional introduction (Implication)

Thus, ¬q → s is proven.

c. To show that ¬(p∨¬q) and q∧¬p are equivalent, we need to show that their negation is equivalent. i.e.,

we show that (p ∨ ¬q) ↔ ¬(q ∧ ¬p)Negation of (p ∨ ¬q) = ¬p ∧ q Negation of (q ∧ ¬p) = ¬q ∨ p

Thus, we are to show that (p ∨ ¬q) ↔ ¬(q ∧ ¬p) is equivalent to ¬p ∧ q ↔ ¬q ∨ p

Proof:

¬(q ∧ ¬p)  ≡  ¬q ∨ p       Negation of (q ∧ ¬p)(p ∨ ¬q)   ≡  ¬(q ∧ ¬p)  

De Morgan's laws ∴ (p ∨ ¬q) ≡ ¬q ∨ p

By using the same logic and identity, we can also say that ¬(p∨¬q) is equivalent to q∧¬p.

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a. The formula given is, ∑n=0(9(2)n)−7(−3)n. Let’s find out the first five terms of the given formula as follows:

First term at n = \(0:9(2)^0-7(-3)^0= 9 + 7= 16\)

Second term at n = \(1:9(2)^1-7(-3)^1= 18 + 21= 39\)

Third term at n = \(2:9(2)^2-7(-3)^2= 36 + 63= 99\)

Fourth term at n = \(3:9(2)^3-7(-3)^3= 72 + 189= 261\)

Fifth term at n = \(4:9(2)^4-7(-3)^4= 144 + 567= 711\)

Therefore, the first five terms of the given formula are: 16, 39, 99, 261, 711.

b. To prove that ¬q→s from p→q, ¬p→r, and r→s,

we need to use the law of contrapositive for p→q as follows:

¬q→¬p       (Contrapositive of p→q)¬p→r         (Given)

∴ ¬q→r        (Using transitivity of implication) r→s           (Given)

∴ ¬q→s        (Using transitivity of implication)

Therefore, ¬q→s is proved.

c. To show that ¬(p∨¬q) and q∧¬p are equivalent,

we need to use the De Morgan’s laws as follows:

¬(p∨¬q) ≡ ¬p∧q     (Using De Morgan’s law)      

≡ q∧¬p     (Commutative property of ∧)

Therefore, ¬(p∨¬q) and q∧¬p are equivalent.

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Answer:

1.3

Step-by-step explanation:

1. .65 = .5c ---> .65/.5

2. 1.3 = c

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

40.3°

Step-by-step explanation:

sin x/ (5.3) = sin 90/ (8.2)

sin x = (5.3 sin 90) / 8.2

= 5.3/8.2

x = arcsin (5.3/8.2)

= 40.3° to 1 dp

The measure of angle x using Trigonometry is 40.263215° or 40.3.

Trigonometry is a branch of mathematics that deals with the study of relationships involving the angles and sides of triangles. It is especially useful in understanding the properties and behavior of right-angled triangles.

Sine ratio is defined as the ratio of the length of the side opposite an angle to the length of the triangle's hypotenuse.

From the figure,

Perpendicular = 5.3 m

Hypotenuse = 8.2 m

Using Trigonometry

sin x = P / H

sin x = 5.3/ 8.2

sin x = 0.6463

Using Inverse Trigonometry

x = \(sin^{-1}\)(0.6463)

x= 40.263215°

Thus, the measure of angle x is 40.3.

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Answer:

b = -12

Step-by-step explanation:

In order to find the slope intercept you must first find the slope of the given points.

\(-4,2 = 12,6\)

\(S=\frac{y2-y1}{x2-x1}\)

Substitute:

\(\frac{12--4}{6-2}\)

\(12--4=12+4=16\)

\(6-2=4\)

\(S=\frac{16}{4}\)

Now find the slope intercept

\(16\div4=4\)

\(SI=y=mx+b\)

Substitute:

\(12=4\times6+b\)

Solve:

\(4\times6=24\)

\(12=24+b\)

Subtract 24 on both sides:

\(12-24=-12\)

\(x=-12\)

\(y=-12\)

Hope this helps.

Answer:

C and D

Step-by-step explanation:

exponent of an exponent means

they got multiplied

x^m/n = nth root of x^m

x^8/5 means

(x^8)^1/5 or

5th root of x to the 8th power

x^1/5 is the

5th root of x^8

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