Solve the equation.
5.5-x=-4.5-x

Solution:

Part a; compounded semiannually (n = 2); CI =  $6,390.

Part b: compounded quarterly ( n = 4) ; CI =  $6,425

Part c: compounded monthly (n = 12): CI =  $6,450

Part d: compounded continuously; CI =  $6,467.

The compound interest is calumniated by formula.

A = P(1 + r/100n)∧nt

In which,

A  = amount after compounding

P = principal amount  ($20,000 )

n = number of time principal amount compounded in a year.

t = total time in years (7 years)

r= rate of interest (4%)

Part a; compounded semiannually (n = 2)

A = P(1 + r/100n)∧nt

A = 20,000(1 + 4/200)∧(2x7)

A = 26390

CI = A - P

CI =  26,390 -  20,000

CI =  $6,390.

Part b: compounded quarterly ( n = 4)

A = 20,000(1 + 4/400)∧(4x7)

A = 26425

CI = A - P

CI =  26,425 -  20,000

CI =  $6,425

Part c: compounded monthly (n = 12)

A = 20,000(1 + 4/1200)∧(12x7)

A = 26450

CI = A - P

CI =  26,450-  20,000

CI =  $6,450

Part d: compounded continuously.

P = P₀e∧rt

P = (20,000)(2.72)∧(0.04 x 7)

P = 20,000 x 1.32

P = 26,467

CI =  26,467 - 20, 000

CI =  $6,467.

Thus, the for compounded continuously is $6,467.

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Answer:120

Step-by-step explanation: THIS is because you make sure you say hallo not hello specifically hallo to the flying monsters outside ur bedroom window.

Answer:

13 sips.

Step-by-step explanation:

Divide 22.75 (total) by 1.75 (amount of oz. per sip). You are left with 13, and you can check your answer by multiplying 1.75 (amount of oz. per sip) by 13 (sips). Hope this helped!

the number of students that offer Mathematics is 11

The sum of the fractions of the pie chart should be equal to 1 since it represents the whole class of 80 students.

Let's write the fractions for each subject in terms of x:

Math: 5x/80

French: (16x-24)/80

English: (6x+12)/80

Hausa: (4x+12)/80

Physics: 5x/80

The sum of these fractions must equal 1:

5x/80 + (16x-24)/80 +  (6x+12)/80 + (4x+12)/80 + 5x/80 = 1

Multiplying both sides by the least common multiple (LCM) of the denominators, which is 80, we get:

5x + 16x - 24 + 6x + 12 + 4x + 12 + 5x = 80

Combining like terms, we get:

36x = 80

So, we have

x = 80/36

For maths, we have

Maths = 5 * 80/36

Maths = 11

Therefore, 11 students offer Mathematics.

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Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Answer:

C would be the correct number line

Step-by-step explanation:

5x ≥ - 17 - 3

5x ≥ -20

5x/5 ≥ -20/5

x ≥ 4

Answer:

\(-6,-pi,-0.5,\frac{5}{8} ,\frac{2}{3}\)

Answer:

7 rectangular and 6 round

Step-by-step explanation:

that would use up 8 tables that you can afford however that would only be the answer if you don't need to use exactly 10 tables

9514 1404 393

Answer:

  c.  20 days

Step-by-step explanation:

Divide the total available rice by the rate of its use:

  time = quantity/(rate of use)

  (15 lb)/(0.75 lb/day) = (15/0.75) days = 20 days

Answer:

Step-by-step explanation:

You want to identify the x-intercepts on the graph.

An "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.

The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...

  (-2, 0) and (3, 0)

<95141404393>

Answer:

6  boxes

Step-by-step explanation:

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Answer:

x<= 8  ( Answer  not in the given options)

Step-by-step explanation:

9x <= 9

divide both sides by 9 to get x

9x   <=  72

9           9

x <=  8

Answer:

758, 578, 857, 785, 875, 587

Step-by-step explanation:

–5/6 + 7/5 = –25/30 + 42/30

= 17/30

Answer:

6

Step-by-step explanation:

Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

Answer:

There are 4 or 8 faces glued together.( it depends how you count

Step-by-step explanation:

if you take a look at the figure you see it consis of a rectangle with for cubs stcked up on one of the ends. This means the glue is in between the four cubs in the base and the stacked cubes. this means there are eight faces that have been attached since each cube is glued by one of their faces.

Answer:

17 grams

Step-by-step explanation:

The formula for finding the total measure of all interior angles in a polygon is: (n – 2) x 180. In this case, n is the number of sides the polygon has.

Describe an angle. An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The study of shapes and their measurements falls under the umbrella of geometry, a subfield of mathematics. It also emphasises how the shapes are arranged in relation to one another and their spatial characteristics.

We are aware that geometry is divided into 2D and 3D categories. All geometrical shapes are first created by the intersection of points, lines, rays, and plane surfaces.

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Answer:

Step-by-step explanation:

An equation of a circle with center (3,9)

whose radius is R :

(x-3)²+(y-9)²=R²

Substituting x=8, y=-3, we have :

5²+12²=R²

169=R²

13=R (∵R>0)

So the radius of the given circle is 13.

Just to remind you,

the equation of a circle is originated from Pythagoras theorem,

which represents the distance between

the center and an arbitrary point (of the circle).

Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

Answer:

22

Step-by-step explanation:

To find the rage, you subtract the smallest number from the largest number in the set of numbers.

So...

26 - 4 = 22

Answer:

7/17

Step-by-step explanation: I hope this helps!

Answer:

21/51 simplified to lowest terms is 7/17.

Step-by-step explanation:

Find the GCD of numerator and denominator

Divide both the numerator and denominator by the GCD

21 ÷ 3  = 7

51 ÷ 3 = 17

Reduced fraction = 7/17

Answer:

a) 2.5 pounds of candy

b) 2.5 pounds of candy

    \(\frac{0.5}{1} :\frac{y}{5}\)

    y × 1 = 0.5 × 5

    y = 2.5

Step-by-step explanation:

1 = 5

1/2 = y or 0.5 = y

\(\frac{0.5}{1} :\frac{y}{5}\)

y × 1 = 0.5 × 5

y = 2.5