7 apples and 11 bananas cost $1.47. how much do 2 apples and a banana cost?

Answers

Answer 1

Answer:  $0.27

Step-by-step explanation:

7a + 11b = 1.47

        7a = 1.47 - 11b

          [tex]a=\dfrac{1.47-11b}{7}[/tex]

Make a table. Choose values for b starting at $0.01 and solve for "a".

The value of "a" must terminate at the hundredths place since we are working with money.

You will discover that a = 0.10 and b = 0.07

The cost of 2 apples and 1 banana is:

  2a + b

= 2(0.10) + (0.07)

=    0.20 + 0.07

=          0.27


Related Questions

I need help with these 2 problems

Answers

Answer:

Step-by-step explanation:

hello, you know that

[tex]\sqrt[5]{x^5}=x[/tex]

so, I can write

[tex]\sqrt[5]{2^5}=\sqrt[5]{32}=2\\\\\sqrt[5]{3^5}=\sqrt[5]{243}=3\\\\\sqrt[5]{4^5}=\sqrt[5]{1024}=4\\\\\sqrt[5]{5^5}=\sqrt[5]{3125}=5[/tex]

So, the winners are 32, 243, 1024, 3125 !!

You know that [tex]i^2=-1[/tex], right?

[tex]\sqrt{-9}=\sqrt{(3i)^2}=3i[/tex]

So, the answer is 3i

Thank you

Find a sequence of similarity transformations
that maps AABC to ADEF. Provide the
coordinate notation for the each
transformation


Answers

Answer:

Reflect of X-axis -> diolate by a factor of 2

Remember to say thanks and mark brainliest

The sequence of similarity transformations is Reflection of Triangle ABC across the x-axis and a dilation of Triangle ABC by a scale factor of 2

What is Reflection and Dilation?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the triangle be ΔABC

Now , the coordinates of the triangle ABC is given as

A = A ( -4 , 2 )

B = B ( -2 , 4 )

C = C ( 0 , 2 )

And , the triangle be ΔDEF

Now , the coordinates of triangle DEF is given as

D = D ( -8 , -4 )

E = E ( -4 , -8 )

F = F ( 0 , -4 )

Now , on reflecting the triangle ABC along the x-axis , we get

The reflected triangle be A'B'C' will be the reflection of point (x, y) across the x-axis is (x, -y)

So ,

A' = A' ( -4 , -2 )

B' = B' ( -2 , -4 )

C' = C' ( 0 , -2 )

Now , on dilating the triangle A'B'C' with a scale factor of 2 , we get

D = 2 x A'

D = D ( -8 , -4 )

E = 2 x B'

E = E ( -4 , -8 )

F = 2 x C'

F = F ( 0 , -4 )

Therefore , the coordinates of the triangle DEF is

D = D ( -8 , -4 )

E = E ( -4 , -8 )

F = F ( 0 , -4 )

So , the triangle ABC is transformed into triangle DEF by a reflection across x-axis and a dilation by a scale factor of 2.

Hence , The sequence of similarity transformations is Reflection of Triangle ABC across the x-axis and a dilation of Triangle ABC by a scale factor of 2

To learn more about reflection and dilation click :

https://brainly.com/question/4681298

#SPJ6

Can u help me on the mystery sequence hidden in the dominoes

Answers

Answer: 80

Step-by-step explanation:

A) The first domino is 3, the second is 4. Hence 34.

B) The first domino is 5, the second is 1. Hence 51.

C) The first domino is 6, the second is 11. Hence 71.

D) The first domino is 7, the second is 10. Hence 80.

if 2/5x+1/x=35 then x=​

Answers

Answer:

x = 1/25

Step-by-step explanation:

2/5x+1/x=35

[tex]2/5x+1/x=35[/tex]

taking 1/x common

[tex]1/x(2/5+1)=35[/tex]

[tex](2+5)/5=35x\\7/5 = 35x\\x = 7/(5*35) = 1/(5*5) = 1/25[/tex]

Thus, value of x is 1/25

part 9: I need help. please help me​

Answers

Answer:   A) a² = b² - w² + 2wx

Step-by-step explanation:

b² - (w - x)² = a² - x²

b² - (w² - 2wx + x²) = a² - x²

b² - w² + 2wx - x² = a² - x²

b² - w² + 2wx       = a²

What is the length of a rectangle with width 12 in. and area 90 in^2?

Answers

Answer: 7.5

Step-by-step explanation:

All you have to do is divide the base/width by area.

Answer:

The answer is

length = 7.5 in

Step-by-step explanation:

Area of a rectangle = length × width

From the question

Area = 90 in²

Width = 12 in

To find the length substitute these values into the formula and solve for the length

We have

90 = 12l

Divide both sides by 12

[tex] \frac{12l}{12} = \frac{90}{12} [/tex]

We have the final answer as

length = 7.5 in

Hope this helps you

Camera shop stocks six different types of batteries, one of which is type A7b. Suppose that the camera shop has only twelve A7b batteries but at least 30 of each of the other types. Now, answer the following question - How many ways can a total inventory of 30 batteries be distributed among the six different types?

Answers

Answer:

The number of ways to distribute 30 batteries among the six different types is 33,649.

Step-by-step explanation:

It is provided that a camera shop stocks six different types of batteries, one of which is type A7b.

Also, the camera shop has only twelve A7b batteries but at least 30 of each of the other types.

Combinations would be used to determine the number of ways to distribute 30 batteries among the six different types. Here repetition is allowed.

[tex]C(n+r-1, r)={n+r-1\choose r}=\frac{(n+r-1)!}{r!(n-1)!}[/tex]

The number of A7b batteries is 12.

Then the number of ways to distribute 30 batteries among the six different types is:

[tex]C(n+(r-k)-1, (r-k))={n+(r-k)-1\choose (r-k)}=\frac{(n+(r-k)-1)!}{(r-k)!(n-1)!}[/tex]

The number of ways is:

[tex]C(n+(r-k)-1, (r-k))={n+(r-k)-1\choose (r-k)}[/tex]

                                          [tex]=\frac{(n+(r-k)-1)!}{(r-k)!(n-1)!}\\\\=\frac{(6+(30-12)-1)!}{(30-12)!\times (6-1)!}\\\\=\frac{23!}{18!\times 5!}\\\\=\frac{23\times 22\times 21\times 20\times 19\times 18!}{18!\times 5!}\\\\=\frac{23\times 22\times 21\times 20\times 19}{ 5!}\\\\=33649[/tex]

Thus, the number of ways to distribute 30 batteries among the six different types is 33,649.

part 8: please assist me with this problem​

Answers

Answer: d) Neither of the answers are correct

Step-by-step explanation:

Law of Cosines: a² = b² + c² - 2bc · cos A

Note: The letters can be swapped but the letters on the outside must be the same.

What is the value of 30-2(7+2)-1

Answers

Answer: 11

Step-by-step explanation:

30 - 2(7+2)- 1        Distribute or  solve parentheses

30 - 14 -4 - 1  

30 - 19 = 11  

It the ratio of boys to girls in 2:5 in the class, how many girls would there be if there are 10 boys?

Answers

First set up the ratio 2/5 = 10/x where x is the number of girls.

Now, we can use cross-products to find the missing value.

So we have (2)(x) = (5)(10).

Simplifying, we have 2x = 50.

Dividing both sides by 2, we find that x = 25.

So there are 25 girls in the class if there are 10 boys.

help please !
m∠1=25°, m∠4=34°, m∠6=146°. Find m∠9
.

Answers

Answer:

Option (B)

Step-by-step explanation:

Since all the four rays A, E, D and F are diverging from a point C in the different directions.

Therefore, sum of all the angles formed at a point C will be equal to 360°

m∠1 + m∠4 + m∠6 + m∠9 = 360°

25° + 34° + 146° + m∠9 = 360°

m∠9 = 360° - 205°

        = 155°

Therefore, measure of angle 9 is 155°.

Option (B) will be the correct option.

what is 3 divided 162

Answers

Answer:

0.185185185185185185.........

Step-by-step explanation:

i used a  calculator, to the nearst tenth is 0.18 to the nearest 100th is 0.185 also the 185 is repeating so u put a line over the numbers 185

Answer:

3 ÷ 162 = 0.01851851851

If you meant 162 ÷ 3 it is 54

If niether of the two answers above didnt answer your question, then sorry

combine the like terms to create an equivalent expression : -12-6p-(-2)

Answers

Answer;

=-6p-10

Step-by-step explanation:

Lesson: It's about the using properties to simplify expression.

First, you apply by the rule.

-12-6p+2

Then, subtract by the numbers.

-12-6=-6

-6p-12+2← (group like terms)

And finally, add or subtract by the numbers.

-12+2 =-10

12-2=10

Answer:  -6p-10

Hope this helps!

The volume of a rectangular prism with a length of x meters, a width of x − 1 meters, and a height of x + 11 meters is no more than 180 cubic meters. What are the possible values of the length?

Answers

Answer:

Length of the rectangular prism = 4 meters

But other possible values = (-5meters or - 9 meters)

Step-by-step explanation:

The volume of a rectangular prism = Length × Width × Height

From the question above,

Length = x meters

Width = x - 1 meters

Height = x + 11 meters

Volume of the Rectangular prism = 180 cubic meters

Hence,

(x) × (x - 1) × (x + 11) = 180

We expand the brackets

(x)(x - 1) (x + 11) = 180

x² - x(x + 11) = 180

x² (x + 11) - x(x + 11) = 180

x³ + 11x² - x² + 11x =180

x³ +10x² - 11x = 180

x³ + 10x² - 11x -180 = 0

The above is a polynomial

We solve this polynomial to find x

x³ + 10x² - 11x -180 = 0

(x - 4)(x + 5) (x + 9) = 0

x - 4 = 0

x = 4

x + 5 = 0

x = -5

x + 9 = 0

x = -9

We are asked to find the various values for the length hence,

From the above question, we are told that

Length = x meters

Therefore, the length of this rectangular prism = 4 meters or -5 meters or -9 meters.

Answer:

(1, 4)

Step-by-step explanation:

Does anyone know how to do this ?

Answers

Answer:

Part A: The student forgot to distribute the subtraction across the entire polynomial.

Part B: 8[tex]x^{2}[/tex]-6[tex]x^{2}[/tex]-7x+x-2-3 = 2[tex]x^{2}[/tex]-6x-5

Part C: The terms are 2[tex]x^{2}[/tex], -6x, and -5. The coefficient of [tex]x^{2}[/tex] is 2. The coefficient of x is -6.  

Step-by-step explanation:

Part A: When subtracting polynomials you have to make sure the subtraction is distributed to every term in the second polynomial.

Part B: Distributing the subtraction across the entire term we see that we need to subtract 6[tex]x^{2}[/tex], add x, and subtract 3. Then we just do the math and we get the answer.

Part C: Since they're asking for the simplified polynomial, they want the answer to the subtraction problem.  The terms are separated by + and - signs and the coefficients  are the numbers being multiplied against variables.

You are considering a certain telephone company. They charge S0.18 per minute of talking, plus a fixed base monthly fee of S70.If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C? Select the correct answer below
a) C = 0.18M + 70
b) M = 0.70C + 18
c) C = 0.70M + 18
d) M = 0.18C + 70

Answers

Answer:

a is the right answer

Step-by-step explanation:

please give 5 star i need it

Given the following probability distribution, what is the expected value of the random variable X? X P(X) 100 .10 150 .20 200 .30 250 .30 300 .10 Sum1.00 Multiple Choice 175 150 200 205

Answers

Answer:

d) 205

Step-by-step explanation:

Step(i):-

x             :   100      150      200      250      300

p(X=x)    :   0.10     0.20    0.30     0.30      0.10

Step(ii):-

Let 'X' be the discrete random variable

Expected value of the random variable

   E(X) = ∑ x P(X=x)

           =  100 X 0.10 + 150 X 0.20 + 200 X 0.30 +250 X 0.30 + 300 X 0.10

          =   205

Final answer:-

The expected value     E(X) = 205

A 0.01 significance level is being used to test a correlation between two variables. If the linear correlation coefficient r is found to be 0.591 and the critical values are r ​0.590, what can you​ conclude?

Answers

Answer:

There is sufficient evidence that there is linear  correlation between two variable

Step-by-step explanation:

From the question we are told

   The significance level is  [tex]\alpha = 0.01[/tex]

   The critical value  is  [tex]a = 0.590[/tex]

   The  test statistics is  [tex]r = 0.591[/tex](linear correlation coefficient )

Now  from the data given in the value we see that

     [tex]r > a[/tex] so  the null hypothesis is rejected

Hence the conclusion is that there is  sufficient evidence that there is linear   correlation between two variable  


Original population
500
Current population
2,000
Find the percent of increase,
[?]%

Answers

300 % increased by the difference of 1500
Hope your problem is solved

Answer: 300%

Step-by-step explanation:

percent of increase: new/old×100%-100%

Since it is percent of increase, you need to subtract the original percent (100%) from the current percent.

------------------

new (current)=2000

old (original)=500

 new/old×100%-100%

=2000/500×100%-100%

=4×100%-100%

=400%-100%

=300%

Hope this helps!! :)

Please let me know if you have any question or need further explanation

2/3 x − 9 − 2x + 2 = 1 Which is an equivalent equation after combining like terms?

Answers

Answer:

Any equation shown in the explanation

Step-by-step explanation:

Hello!

Combining like terms means combining terms with the same variables.

So combing all x's, all y's, all numbers, etc.

2/3x - 9 - 2x + 2 = 1

combine the x's

-1 1/3 x - 9 + 2 = 1

combine normal numbers

-1 1/3 x - 7 = 1

Add 7 to both sides

-1 1/3x = 8

Make mixed number into improper fraction

-4/3x = 8

Multiply both sides by 3

-4x = 24

Divide both sides by -4

x = -6

The answer would be any of the equation I showed above

Hope this helps!

a. Is the a discrete random variable, a continuous random variable, or not a random variable? amount of rain in City B during April A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable.

Answers

Answer:

The correct answer is:

It is a continuous random variable. (B)

Step-by-step explanation:

Continuous random variables are variables that take on infinite possibility of values, hence the number of possible outcomes of a random variable cannot be counted. For instance, in this example, the amount of rainfall measured using a rain guage or a pluviometer has infinite possibilities of outcomes. it can either be 22.3 Liters, 20.1 Liters etc, up to infinity, in fact between 20 and 21 litres, there is an infinite possibility of outcomes.

Discrete random variables are variables that have a finite possibility of outcomes. the possibilities of occurrences can be counted. For example, if a coin is tossed, the coin can either land on its head or tail, hence there are two possibilities, making the variables discrete

The correct answer is:

It is a continuous random variable (B)

Step-by-step explanation:

Continuous Random Variables are variables that take on a number of possibilities of values that cannot be counted. The values have infinite possibilities. In this example, the height of a Giraffe measured in meters can be an unlimited possibility if values say, 10.5m, 15.22m 12.0m etc. The possibilities are endless.

Discrete Random variables are variables that take on a number of possibility of occurrences that can be counted. For instance, if a dice is rolled, the possibilities can either be a 1, 2, 3, 4, 5 or 6. There are six values that can be gotten, nothing in-between.

THANKS

0

0.0

(0 votes)

-3=9(5-2k)/5 Show your work

Answers

Answer:

K=3.333

Step-by-step explanation:

-3=9(5-2k)/5

-3=45-18k/5

-15=45-18k

18k=60

K=60/18

K=3.3333

What is the domain in the equation y=x+1?

Answers

Answer:

  all real numbers

Step-by-step explanation:

The domain of any polynomial function is "all real numbers." There is no value of x for which y is undefined.

Find an equation of the line containing the centers of the two circles whose equations are given below.
x2+y2−2x+4y+1
=0
x2+y2+4x+2y+4
=0

Answers

Answer:

3y+x = -5

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles, we will compare both equations with the general form of the equation above as shown;

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

Hence the equation of the line containing the centers of the two circles is 3y+x = -5

A building company claims that 70% of all new houses they build are finished within 3 weeks. A study show that, over 45 new houses, only 20 have been done in 3 weeks. Does the company claim valid at a level of significance of 0.05 and 0.01

Answers

Answer:

Calculated z= 3.515

The Z∝/2 = ±1.96  for ∝= 0.05

The Z∝/2 = ± 2.58  for ∝= 0.01

Yes the company claims valid at a level of significance of 0.05 and 0.01

Step-by-step explanation:

Here p1= 70% = 0.7

p2= 20/45= 0.444   q= 1-p= 1-.444= 0.56

The level of significance is 0.05 and 0.01

The null and alternative hypotheses are

H0; p1= p2                Ha: p1≠p2

The test statistic used here is

Z= p1-p2/ √pq/n

Z= 0.7-0.44/ √ 0.44*0.56/45

z= 0.26/ √0.2464/45

z= 3.515

The Z∝/2 = ±1.96  for ∝= 0.05

The Z∝/2 = ± 2.58  for ∝= 0.01

For the significance level 0.05 reject null hypothesis

For the significance level 0.01 reject null hypothesis

Yes the company claims valid at a level of significance of 0.05 and 0.01

Can some please Simplify 2(4x + 3)

Answers

Answer:

[tex] \boxed{ \bold{ \sf{8x + 6}}}[/tex]

Step-by-step explanation:

[tex] \sf{2(4x + 3)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{2 \times 4x + 2 \times 3}[/tex]

⇒[tex] \sf{8x + 6}[/tex]

Hope I helped!

Best regards!!

Answer:

your answer is 8x + 16

............

What is the value of x that makes the given equation true? ​x−3x=2(4+x)

Answers

Answer:

x = -2

Step-by-step explanation:

​x−3x=2(4+x)

Distribute

x - 3x = 8 +2x

Combine like terms

-2x = 8+2x

Subtract 2x from each side

-2x-2x = 8+2x-2x

-4x = 8

Divide by -4

-4x/-4 = 8/-4

x = -2

Answer:

x-3x=2(4+x)

-2x=8+2x

-2x-2x=8

-4x=8

x=8/-4

x=-2

hope it helps budy x=2

mark me brainliest

Convert 9 days into weeks

Answers

Answer:

1 week= 7 days

number of days= 9

number of weeks= 1 week and 2 days

hope it helps :)

please mark it the brainliest!

Answer:

1 week and 2 days

Step-by-step explanation:

What do you know to be true about the values of a and b?
60"
75"
O A. a b
O B. a = b
O c. a> b
O D. Can't be determined

Answers

Answer: B. a = b .

First of all, let's think that a is equal to b.

Then, let's link up these two triangles.

Now, we have a parallelogram.

x+y = a+60

and 75 = b . So, a = b. Then, a is also = 75.

Now apply the basic triangle rule.

75+75+x=180 .. x = 30 degree.

and for the other triangle....

y+75+60=180 .. y= 45 degree...

Now, let's consider that we want to write a as b.

So, x+b+75=180 ...x+b=105

and..

y+b+60=180...y+b = 120..

Then, let's exit the b from these two equations.

-1/  x+b=105

    y+b=120

Finally, we found this: y-x =15

and we have already found y and x values.

y was 45 and x was 30 degree.

So when we put these two numbers into that equation y-x=15

we found the value of 15.

So, our answer is a=b.

Answer:

[tex]\huge \boxed{\mathrm{B.} \ a=b}[/tex]

Step-by-step explanation:

The two triangles form a parallelogram.

A parallelogram has opposite angles equal.

75 = b

Adjacent angles in a parallelogram are supplementary to one another.

They add up to 180 degrees.

a + 60 + 75 = 180

a + 135 = 180

Subtract 135 from both sides.

a = 75

Therefore, a = b.

Which number produces an irrational number when added to? 3\4

Answers

Answer:

π

Step-by-step explanation:

Any other irrational number, actually, so √2 would also do the trick.

Answer:

Pi, since pi is irrational

Step-by-step explanation:

Any irrational number, such as √2

Other Questions
Hi Brainly users! My question is what are the remaining communist countries in the world? Thanks! Fati What information about a chemical solution can be inferred from knowing its pH value? In what stage do stars spend the large majority of their life cycles? Why In the Keynesian-cross model with a given MPC >0, the government-expenditure multiplier ______ the tax multiplier. 5) Name a feature for which thecathedral of Chartres is known. Put the following numbers in order from least to greatest: 24.4, 24.54, 24.304, 24.24 Fungi, plants, algae, mold, and humans are all located in theCated in theDomain Eukarya. What do they all have in common?They are all eukaryoticThey are all unicellularThey are all prokaryotic WILL MAKE BRAINLY One factor that could account for a drop in the water table is:A. more clouds.B. more wind.C. less porous soil.D. less rain and snow. I WILL GIVE YOU LOTS OF Points Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000. Which function calculates his monthly earnings (E) as a function of m, his monthly sales? A) E(m) = 2,000 + 0.15(m 20,000) B) E(m) = 2,000 + 0.15(m + 20,000)C) E(m) = 2,000 + 15(m - 20,000)D) E(m) = 2,000 + 15(m+ 20,000) what were the areas called where homeless people lived in small shacks? 10 synonyms for looks I hate somebody waking me up when Im fast asleep. Change this sentence to passive. What does regular participation in sports do?A. It helps control caloric intake.B. It helps control body weight.C. It decreases energy levels.D. It decreases oxygen delivery to muscles. Solve for r 28=4r+28 Hybrid cars are touted as a "green" alternative; however,the financial aspects of hybrid ownership are not as clear. Consider the 2018 Edsel 550h, which had a list price of $5200 (including tax consequences) more than the comparable Edsel550. Additionally, the annual ownership costs ( other than fuel) for the hybrid were expected to be $330 more than the traditional sedan. The EPA mileage estimates was 27 mpg for the hybris and 19mpg for the hybrid and 19 mpg for the traditional sedan.A. Assume that gasoline costs $3.60 per gallon and you plan to keep either car for six years. How many miles per year would you need to drive to make the decision to buy the hybrid worthwhile, ignoring the time value of money? B. If you drive 15,500 miles per year and keep either car for six years, what price per gallon would make the decision to buy the hybrid worthwhile, ignoring the time value of money? C. Gasoline costs $3.60 per gallon and you plan to keep either car for six years. How many miles per year would you need to drive to make the decision to buy the hybrid worthwhile? Assume the appropriate interest rate is 10 percent and all cash flows occur at the end of the year. D. If you drive 15,500 miles per year and keep either car for six years, what price per gallon would make the decision to buy the hybrid worthwhile? Assume the appropriate interest rate is 10 percent and all cash flows occur at the end of the year. A non living thing such as a bicycle does not grow.However, a crystal immersed in a saturated solutionmay increase in size. How is this change differentfrom that of a living organism? A coupon bond that pays semiannual interest is reported in the Wall Street Journal as having an ask price of 116% of its $1,000 par value. If the last interest payment was made 3 months ago and the coupon rate is 5.90%, the invoice price of the bond will be _________. Multiple Choice $1,160.00 $1,189.50 $1,174.75 $1,130.50\ A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 1200 in3, what were the original dimensions of the piece of metal? Any one duty of Human Resource Manager