Write the mixed number as an improper fraction 2 3/10

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)

No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

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Answer:

38 inches

Step-by-step explanation:

We can use the Law of Sines to solve for the length of side g:

sin(66°)/67 = sin(30°)/g

Cross-multiplying, we get:

g*sin(66°) = 67*sin(30°)

Dividing both sides by sin(66°), we get:

g = 67*sin(30°)/sin(66°) ≈ 38 inches (rounded to the nearest inch)

Therefore, the length of side g is approximately 38 inches.

To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.

A relation represents a function when each input value is mapped to a single output value.

In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.

The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.

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The slope of Function A is less than the slope of Function B.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

given two function A and B

For Function A:

General formula of Slope:

Slope = (y₂ -y₁)/(x₂ - x₁)

in our case,

at x₂ = 4 , y₂= 2

at x₁ = 0 , y₁=0

Thus,

Slope = (2-0)/(4-0)

Slope = 1/2

For Function B:

General formula of Slope:

Slope = (y₂ -y₁)/(x₂ - x₁)

in our case,

at x₂ =-1  , y₂= -1

at x₁ = 3 , y₁=11

Thus,

Slope = (11+1)/(3+1)

Slope = 12/4

Slope = 3

Therefore, The slope of Function A is less than the slope of Function B.

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Answer:

38%

Step-by-step explanation:

First determine her savings

560-347.49

212.51

Then divide by the total amount

212.51/560

.379482143

Change to percent form

37.948%

Answer:

38%

Step-by-step explanation:

\(560.00-347.49=212.51\\212.51\div560.00==38\)

Answer:

57327392393629324

Step-by-step explanation:

Answer:

Step-by-step explanation:

8-7=1

7-6=1

The real part of the complex numbers is following an arithmetic progression with first term 8 and common difference 1.

………………………………………

-6+2=-4

-4+2=-2

THe Imaginary part of the complex numbers is following an arithmetic progression with first term -6 and common difference 2.

………………………………………

Then the term she of the sequence can be written:

(8 - n) + i(-6 + 2n)

………………………………………

We get a purely imaginary term when its real part is nul :

⇒ 8 - n = 0

⇒ 8 = n

………………………………………

If we take n = 8

⇒ -6 + 2n = -6 + 2×8 = -6 + 16 = 10

Therefore,

The term of the arithmetic progression 8 - 6i, 7 – 4i, 6 — 2i, ... which is purely imaginary is :

10i

The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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Answer:

INFINITE SLOPE.

Step-by-step explanation:

The 2 x-coordinates are equal so the line is vertical.

Answer:

a. $1.40

b. $8.40

c. 15 lbs

that's all i know but i hope this helps!

Answer:

Amount received per brother based on number of children plus debt is given as

Roberto, S/ 55,333.33

Luis, S/ 46,000

Armando, S/ 74,666.67

Step-by-step explanation:

English Translation

A prestigious businessman decides to distribute his inheritance of S / 176,000 among his three brothers Roberto, Luis and Armando, DP to the number of his children and IP to the amount of his debts. How much corresponds to each brother?

Roberto: No of children 4, Amount of debts (S /): 2 000

Luis: No. of children 3, Amount of debts (S /): 6,000

Armando: No of children 5, Amount of debts (S /): 8,000

Solution

The man shares the inheritance according to the number of children per person and according to each brother's debts.

Assuming the debts are first settled,

The total debts = 2000 + 6000 + 8000 = S/ 16,000

We assume that each brother receives the respective debt amounts first, then the remaining cash is divided amongst the 3 brothers according to the number of their children.

Total amount available = S/ 176,000

total debt = S/ 16,000

Amount available less debts = 176,000 - 16,000 = S/ 160,000

There are 4, 3 and 5 children respectively for the 3 brothers.

Total number of children = 4+3+5 = 12.

Amount corresponding based on a per child basis =( S/ 160,000/12) = S/ 13,333.33

Meaning that each brother receives the following amount based on their children's sake

Roberto, 4 × S/ 13,333 = S/ 53,333.33

Luis, 3 × S/ 13,333.33 = S/ 40,000

Armando, 5 × S/ 13,333 = S/ 66,666.67

Total amount each brother then receives when the amount received due to debts are added

Roberto, 53,333.33 + 2,000 = S/ 55,333.33

Luis, 40,000 + 6,000 = S/ 46,000

Armando, 66,666.67 + 8,000 = S/ 74,666.67

To check, 55,333.33 + 46,000 + 74,666.67 = 176,000 (total inheritance!)

Hope this Helps!!!

Queremos ver como se reparte una dada suma entre 3 hermanos, siendo que tenemos unas dadas restricciones, donde debemos trabajar con relaciones directamente proporcionales e inversamente proporcionales.

Veremos que:

Roberto recibe: $112,640

Luis recibe: $28,160

Armando recibe: $35,200

Sabemos que lo que se reparte es directamente proporcional al número de hijos de cada hermano, e inversamente proporcional a las deudas de cada hijo.

Entonces, definamos las variables:

R = lo que recibe Roberto.

L = Lo que recibe Luis

A = lo que recibe Armando.

Tendremos que:

R + L + A = $176,000

Entonces como lo que recibe cada hermano es directamente proporcional al número de hijos (x) e inversamente proporcional a la deuda (z) lo que cada hermano recibe será:

Entonces podemos escribir:

R + L + A = $176,000

k*4/2,000 +  k*3/6,000 + k*5/8,000 = $176,000

k*(4/2,000 + 3/6,000 + 5/8,000) = $176,000

k*(0.003125) =  $176,000

k = $176,000/(0.003125) = $56,320,000

Ahora que conocemos el valor de k, podemos calcular lo que cada hermano recibe:

R = $56,320,000*(4/2,000) = $112,640

L = $56,320,000*(3/6,000) = $28,160

A = $56,320,000*(5/8,000) = $35,200

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Answer:

Yes, they are equivalent.

Step-by-step explanation:

18 + 3.1m + 4.21m - 2

Combine like terms.

7.31m + 18 - 2

7.31m + 16 = 16 + 7.31m

Answer:

1500

Step-by-step explanation:

Number of boxes = 12

Number of pencils in each box = 125

Total number of pencils

= 12 × 125

= 1500 pencils

9514 1404 393

Answer:

  f⁻¹(x) = log(x)/log(16)

  g⁻¹(x) = (2^x -1)/3

Step-by-step explanation:

In each case, you want to solve ...

  x = f(y)

__

a. x = 4^(2y)

  log(x) = 2y·log(4) . . . . . . . . take logs

  y = log(x)/(2·log(4)) . . . . . . .divide by the coefficient of y

  f⁻¹(x) = log(x)/log(16) . . . . simplify (4^2 = 16)

__

b. x = g(y)

  x = log(3y +1)/log(2) . . . . use the change of base relation

  x·log(2) = log(3y +1) . . . . multiply by log(2)

  2^x = 3y +1 . . . . . . . . . . . take antilogs

  2^x -1 = 3y . . . . . . . . . . . subtract 1

  y = (2^x -1)/3 . . . . . . . . . . divide by the coefficient of y

  g⁻¹(x) = (2^x -1)/3 . . . . . . . . note that "-1" is not part of the exponent of 2

Answer:

21

Step-by-step explanation:

15-(-6)=21

Answer:

21

Step-by-step explanation:

Since (-6) is a negative number, we will have to cancel it out with positive 6 to get to 0. Then you add 6 and 15 to get 21.

Answer:

The slope of a line is a measure of the steepness of the line. It is calculated as the rise (the change in the y-coordinate) divided by the run (the change in the x-coordinate).

To find the slope of a line given two points on that line, you can use the following formula:

slope = (y2 - y1) / (x2 - x1)

If we plug in the coordinates (-4,2) and (2,-5) into this formula, we get:

slope = (-5 - 2) / (2 - (-4))

Simplifying this fraction, we get:

slope = -7 / 6

Simplifying further, we get:

slope = -7/6

So the slope of the line through the points (-4,2) and (2,-5) is -7/6.

Step-by-step explanation:

The interest rate needed to double the investment in 18 years is  6%.

Interest earned is a function of the amount invested, interest rate and time. The future value of the investment is to be $6000 (3000 x 2). Interest earned would be $3000 (6000 - 3000)

Interest rate = interest earned / (amount invested x time )

$3000 / ($3000 x 18) = 6%

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Step-by-step explanation:

(5-i)(3-2i)=(5-3)((-i-(-2i))=(2+i)

no, the subtraction wasnt done correctly

Answer:

C. (2,4)

Step-by-step explanation:

Answer:

The image is larger..........

Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

\(x = \frac{7 \sqrt{3} }{2} \\ \)

.

\( \frac{7}{x} = \frac{2}{ \sqrt{3} } \\ \)

\(7 \times \sqrt{3} = 2 \times x\)

\(7 \sqrt{3} = 2x\)

\( \frac{7 \sqrt{3} }{2} = x \\ \)

\(x = \frac{7 \sqrt{3} }{2} \\ \)

.

.

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Answer:

7.7 * 10^10

Step-by-step explanation:

Given

7.0 * 10³ * 1.1 * 10^7

= 7.7 * 10^ ( 3 + 7)

= 7.7 * 10^10

Hope it will help :)

The solution of the given expression is 7.7x10¹⁰.

Scientific notation, also known as standard form or exponential notation, is a way of expressing very large or very small numbers using powers of 10.

In scientific notation, a number is written as the product of a coefficient and a power of 10. A coefficient is a decimal number greater than or equal to 1 and less than 10, and the power of 10 is an integer.

To perform this multiplication, we need to multiply the two numbers together and then express the result in scientific notation.

7.0x10³ x 1.1x10⁷ = 7.7x10³⁺⁷) = 7.7x10¹⁰

Therefore, the answer is 7.7x10¹⁰ in scientific notation.

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Answer:

3x=105

x=35

Step-by-step explanation:

40+3x+x = 180 (Angle sum property)

40 +4x=180

4x = 180-40

          140

x = 140/4

       =35

 3x = 35 x 3

          105

x = 35

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p-(-8) =-15

subtracting a negative number is the same as adding that number, so:

p+8 =-15

Subtract 8 to both sides of the equation:

p+8-8 = -15-8

p= -23

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

The reciprocal of the divisor: Reciprocal and division of fractions are two different methods. When the numerator and denominator of a fraction are interchanged, then it is said to be its reciprocal. Suppose a fraction is a/b, then its reciprocal will be b/a. A fraction is a numerical quantity that is not a whole number.

The reciprocal of the divisor 5 1/5 divided by 1/10

To the reciprocal of the divisor.

Equation: 5 1/5 divided by 1/10

1st: Flip the 1/10 to become 10/1

2nd: Change division to multiplication

New equation: 5.1/5.10/1

⇒ 50/5

       ⇒ 10.

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

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Answer:

33.94 years

Step-by-step explanation:

m = 115

y = mx + b

Since the buffalo starts at 115 kg, the y intercept of the line would start at 115.

y = mx + 115

Each year the buffalo is increasing 85kg, so that is the slope.

y = 85x+115

You are looking for when the buffalo is equal to 3 tonnes, 3000kg.

3000kg = 85x +115

x = 33.94 years