Solve the following variation problem
The interest on an investment varies directly as the rate of interest.
If the interest is $49 when the interest rate is
4%, find the interest when the rate is
7.7%

Answers

Answer 1

Answer:

$94.325

Step-by-step explanation:

Given interest (I) varies directly as rate of interest (R) then the equation relating them is

I = kR ← k is the constant of variation

To find k use the condition I = 49 when R = 4 , then

49 = 4k ( divide both sides by 4 )

12.25 = k

I = 12.25R ← equation of variation

When R = 7.7 , then

I = 12.25 × 7.7 = $94.325


Related Questions

what is -1/6x-9/7 will somebody please help me??

Answers

Answer: -47/42x

Step-by-step explanation:

-1/6x -9/7

LCD:

6(7) =42

x[ 7\7(-1/6) -6\6(9/7)]

x . -61/42

= -61/42x

Divide20/100 pleased indeed the answer now

Answers

Answer:

0.2

Step-by-step explanation:

I hope this helps you

Answer:

0,2

Step-by-step explanation:

You get two zero away and you have the answer

Andrea has a jug containing 1. 5 liters of chocolate milk. She fills one cup with 250 milliliters and another cup with 0. 6 liters. How much chocolate milk is left in the jug in milliliters? 0. 65 milliliters 249. 1 milliliters 450 milliliters 650 milliliters.

Answers

Answer:

650 milimeters

Step-by-step explanation:

A circle has a circumference of 6. It has an arc of length of 1. What is the central angle of the arc, in degrees?

Answers

Answer:

firstly read the length of the arc then

center angle=l/r

=1/6

=6

what is the value of x in the triangle? Enter your answer in the box. round your final answer to the nearest hundredth

Answers

Answer:

answer is below

Step-by-step explanation:

cos 22 = x÷15

x = 13.907

how to do this equation x-2y=12 and y=3x+14

Answers

Answer:

(-8,-10)

Step-by-step explanation:

we have the two equations x-2y=12 and y=3x+14.

I'm going to assume this is a system of equations and we are looking for the solution.

we can use the substitution method as y is "defined".

x-2y= 12

substitute y = 3x + 14

x-2(3x+14)=12

distribute

x - 6x -28 = 12

combine like terms

-5x - 28 = 12

add 28 to both sides

-5x = 40

divide both sides by -5

x = -8

Now we plug in the value of x into one of the equations and solve for y

y = 3x + 14

x = -8

y = 3(-8) + 14

y = -24 + 14

y = 10

the solution is (-8,-10)

Which table represents a linear function?

Answers

Answer:

It’s the last one, D

Cora is building towers of two different sizes using prism- and pyramid-shaped blocks. The diagram shows the ratio of prisms and pyramids in each tower. A tape diagram with 2 tapes of unequal lengths. The first tape has 4 equal parts. A curved bracket above the first tape is labeled Prisms. The second tape has 1 part of the same size as in the first tape. A curved bracket below the second tape is labeled Pyramids. A tape diagram with 2 tapes of unequal lengths. The first tape has 4 equal parts. A curved bracket above the first tape is labeled Prisms. The second tape has 1 part of the same size as in the first tape. A curved bracket below the second tape is labeled Pyramids. The table shows the number of prisms and the number of total blocks that Cora will use on each of her towers. Based on the ratio, complete the missing values in the table. Tower Prisms Total blocks AAA 161616 BBB 353535

Answers

Answer:

total blocks are 20 and prisms are 28

Step-by-step explanation:

There are 20 blocks needed for tower A, and 43.75 blocks needed for tower B

From the tape diagrams, we have the following ratio

Prism : Pyramid = 4 : 1

From the table, we have:

Tower A = 16 prisms

So, the ratio becomes

16 : Pyramid = 4 : 1

Multiply the ratio on the right-side by 4

16 : Pyramid = 16 : 4

By comparison, we have:

Pyramid = 4

This means that, 4 pyramid blocks are needed for tower A

So, the total number of blocks needed is:

Total = Pyramid + Prism

This gives

Total = 4 + 16

Evaluate the sum

Total = 20

Hence, there are 20 blocks needed for tower A

For table B, we have:

Tower A = 35 prisms

So, the ratio becomes

35 : Pyramid = 4 : 1

Express as fractions

[tex]\frac{Pyramid}{35} = \frac 14[/tex]

Multiply through by 35

Pyramid = 8.75

This means that, 8.75 pyramid blocks are needed for tower B

So, the total number of blocks needed is:

Total = 8.75 + 35

Evaluate the sum

Total = 43.75

Hence, there are 43.75 blocks needed for tower B

Read more about ratios at:

https://brainly.com/question/16981404

HELP ME PLEASEE IM NOT UNDERSTANDING THIS

Answers

Answer:

  (10, 1), (15, 1), (20, 13), (25, 7)

  IS a function

Step-by-step explanation:

The ordered pairs are (input, output). Essentially, the numbers in each ordered pair are the numbers at each end of an arrow. There are as many ordered pairs as there are arrows.

Working top-down on input values, the ordered pairs of this relation are ...

  (10, 1), (15, 1), (20, 13), (25, 7)

None of the input values is repeated, so the relation is a function.

can you simplify -212+(-102)

Answers

Answer:

-314

Step-by-step explanation:

Heya !

Your answer will be is :

-314

EXPLANATION :

Well, all you do is pretty much is add the numbers. And, you will get the answer from it.

-212 + (-102) = -314.

Hope It Helps ! ~

#LearnWithBrainly

Answer :

Jācè ~

6 gallons to 15 quarts ratio

Answers

Answer:

if my math correct it 1 = 0.4 that the ratio

Step-by-step explanation:

Find the value of the power.
93 =

Answers

The answer is 1.171 x 10^183

Hey there!

Assuming you meant:


9^3

IF SO, LETS SOLVE FOR IT!


9^3

= 9 * 9 * 9

= 81 * 9

= 729


Therefore, your answer is most likely:

[729] So, the base number is probably 5 and the exponent is probably 3


Random note:

Your base number is always that number that will be repeated by what the exponent is telling it!


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

please help solve this problem

Answers

Answer:

y = 15

Step-by-step explanation:

The triangles follow a scale factor. This scale factor can enlarge or make a triangle smaller, using this factor, like a ratio. We can do 22/10 to get this scale factor for the set, which is 2.2. Finally, divide 33 by 2.2 to get 15 for the missing side length y.

what is x/6=25 please help me know what it is :)

Answers

Answer:

150

Step-by-step explanation:

We multiply both sides by 6 to get x as the subject:
x/6×6=25×6

x=25×6

x=150

If we substitute this into the original question we get:
x/6=25

150/6=25

Identify the graph of y>−4

Answers

Answer:

This basically

Step-by-step explanation:

what expressions are equivalent to 4-x

Answers

Answer:

-x+4, 8-2x e.t.c

Step-by-step explanation:

To be able to do this:

You simply rearrange or you do the same to top and bottom.

So for the first one , if we substitute x we get:

4-1=3

The rearranged one I made which is my first answer would give:

-1+4=3

I need help on this ​

Answers

Answer:

B

Step-by-step explanation:

I'll say it is b not sure I hope this helps and if it is correct

Answer:

  B.

Step-by-step explanation:

I would write the first equation to better match the wording: three times d is 3d, and 290 less is (3d -290). That is said to be equal to t:

  t = 3d -290

If 3d is subtracted from both sides of this equation, you get an equation that matches some of the answer choices:

  t -3d = -290

The other equation is a straightforward expression of the difference in prices:

  t -d = 240

These equation match choice B.

How do I find the value of x?

Answers

Answer:

Step-by-step explanation:Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

X=8

Step-by-step explanation:

5x

2x+24

5x and 2x+24 are equal to each other

5x=2x+24

-2x  -2x

3x=24

x= 8

Twice b is at least 30.

Answers

B is at least 15

Explanation:
If 2b = at least 30, the b is at least 15, because 15 • 2 = 30

Hope this helps!
Also consider giving me brainliest, thanks.

A junior baseball team plays 16 games each summer. last summer the team scored an average of 3.25 runs per game during the first half of the season. The team scored a total of 29 runs during the second half of the season. how many runs were scored by the team last season?

Answers

Answer:

928/65

Step-by-step explanation:

They played 16 games each summer. 16 divided by 3.25 is 32/65. 29 runs is 928/65. Sorry I couldn't help you with much.

It might be wrong.

HELPP ME PLEASE I NEED HELP

Answers

Answer:

See below.

Step-by-step explanation:

The equation is this

A= 1/2bh

We plug in the equation and we get this

A= 1/2 (14)(24)

Let's do the math.

A= 1/2 (336)

A= 168

That's your answer. ✌️

I hope this helps!

Which of the following represents the solution
to the inequality 2|5-2x|-3<15


Answers

Answer:

it's C!!!!!!!!!!!!

Step-by-step explanation:

Answer:

C: (-2,7)

Step-by-step explanation:

Took the test on edge

Convert: There are 1,000 meters in a kilometer, and 3,600 seconds in an hour. You can convert units of meters per second (m/s) into kilometers per hour (km/h) by multiplying by 3,600 and dividing by 1,000. (Hint: That is the same thing as multiplying by 3.6.)

A. What is the speed of a cheetah in kilometers per hour?



B. What is the speed of a person in kilometers per hour? ​

Answers

The required speed in km/hr are 108km/hr and 25.704km/hr

How to calculate the distance and speed of an object

Given the following conversion rate

1 km = 1000m1 hr = 3600seconds

Given that the speed of cheetah is 30meters per second. Converting to m/s will give:

30m/s = [tex]\frac{30m}{1s} \times \frac{1km}{1000m} \times \frac{3600s}{1hr} \\[/tex]

30m/s = 30 * 3.6

30m/s = 108km/hr

For the person with speed of 7.14m/s, the value in km/hr is expresssed as:

7.14m/s = 7.14 * 3.6

7.14m/s = 25.704km/hr

Hence the required speed in km/hr are 108km/hr and 25.704km/hr

Learn more on speed conversion here: https://brainly.com/question/2681210

help me help me help me

Answers

Answer:

Step-by-step explanation:

The angles are vertically opposite

Vertically opposite angles are always equal

? = 53 degrees.

The next model of a sports car will cost 14.6% more than the current model. The current model costs $31,000. How much will the price increase in dollars? What will be the price of the next model?

Answers

Answer:

$35526 is the cost of the model

Step-by-step explanation:

We can multiply 31,000 by 14.6 percent, and then add that to 31,000 to get our answer.

Step 1:

Convert 14.6% into a decimal. 0.146

Step 2:

Multiply 31,000 by 0.146

[tex]31000*0.146=4526[/tex]

Step 3:

Add 4526 and 31,000.

This equals 35526.

Susie is going on a run for 32 minutes she can run 1 mile in five minutes and she cools off for seven minutes how many miles can she run in her time limit

Answers

32 - 7 = 25 minutes without the break, 25/5 mins = 5 miles

1/6(16f-64)=64 solve for f

Answers

Answer:

I believe that the answer is x=24

What value of x is needed to prove the triangles
are similar?

Answers

Check the picture below.

A Komodo dragon can grow to be 120 inches long. One
Komodo dragon is 92 inches long. Write and solve an equation to find
the number of inches x the Komodo dragon still needs to grow to be
120 inches long. State what strategy and tool you will use to answer the
question, explain your choice, and then find the answer.

Answers

Answer:

120-x=90

120-90=x

30=x

he can someone help me with this hurry please

Answers

Answer:

Your answer is [tex]6x^{2}yz^{3}[/tex]

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