Quentin is filling a glass that holds cups of water. He is using a cup measuring cup. How many times will he have to fill the smaller measuring cup to equal cups

As per the given simple interest, the principal amount is $165.35.

The term simple interest in math is defined as  the interest charge on borrowing that's calculated using an original principal amount only and an interest rate that never changes.

Here we have given that If the simple interest on a sum of a money invested at 3. 5% per annum for 44 years is birr 420.

Therefore, through the given question we have identified the value of

interest rate = 3.5%

time period = 44

sum amount = 420.

Then the principal amount is calculated by using the formula of simple interest as,

P = A / (1 + rt)

Here first we have to convert R percent to r a decimal, then we get

r = R/100 = 3.5%/100 = 0.035 per year.

Now, we have to apply the values on the equation and then we have to solve our equation, then we get

P = 420 / ( 1 + (0.035 × 44)) = 165.35433070866

P = $165.35

Therefore, the principal investment required to get a total amount, principal plus interest, of $420.00 from simple interest at a rate of 3.5% per year for 44 years is $165.35.

To know more about simple interest here.

https://brainly.com/question/22621039

#SPJ4

Answer:

s

[tex]4x {}^{2} + 3x - 11 = 0[/tex]

Step-by-step explanation:

Hope it helps :)

Answer:

6 tubes of lip balm

Step-by-step explanation:

We can start solving this problem by isolating the variable x.

Given the equation 1.5x + 2.5y = 9, and we know that y = 0 (because we're not buying any bottles of hand sanitizer), we can substitute this into the equation:

1.5x + 2.5(0) = 9

Simplifying this, we get:

1.5x = 9

To solve for x, we can divide both sides of the equation by 1.5:

x = 9/1.5

x = 6

So we can buy 6 tubes of lip balm if we do not buy any bottles of hand sanitizer

The values of x and y, given the angles, can be found to be :

The parallel line is drawn such that ( 7 y - 12 ) degrees and ( 6 y + 8 ) degrees are equal to each other.

In the same vein, 4x degrees and 6x - 26 degrees are the same as well. This is because they are vertical angles.

The value of x is:

4x = 6x - 26

6x - 4 x = 26

2x = 26

x = 26 / 2

x = 13

The value of y is :
7 y - 12 = 6 y + 8

7y - 6 y = 8 + 12

y = 20

Find out more on the value of x and y at https://brainly.com/question/11484953

#SPJ1

Answer:

Hey you can login in Spain Server if you find difficulty here

Answer:

im not sure about this, but ithink i know how to solve it!

Step-by-step explanation:

you have to take the 10and multiply its self by 70 (10 x 10 x 10 x 10 x10 x 10 x10)

and then take what you got by multiplying that, and multipy by 4.457. then you do they same for the other two, then add them all together :)

The time for it take the investment to triple will be 8 years.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

The principal amount = $5,000

The interest rate = 15%

The total amount after x years = 3 x $5,000

                                               = $15,000

Now,

We know that, the formulate for total amount is,

⇒ [tex]A = P (1 + r)^x[/tex]

Substitute all the values we get;

⇒ [tex]A = P (1 + r)^x[/tex]

⇒ 15,000 = 5,000 (1 + 0.15)ˣ

⇒ 3 = (1.15)ˣ

Take log,

⇒ log 3 = x log 1.15

⇒ 0.47 = x × 0.06

⇒ x = 8 years

Thus, The time for it take the investment to triple will be 8 years.

Learn more about the simple interest visit:

https://brainly.com/question/20690803

#SPJ5

Answer: This is a horizontal translation so, the equation is f(x) = (x + 5). Whenever you translate to the right it is negative

Step-by-step explanation:

Answer:

247.75

Step-by-step explanation:

The area for 2 pounds of fertilizer is 400 square feet

How to determine the amount of fertilizer for 2 pounds?

From the question, we have the following parameters that can be used in our computation:

seven pounds of fertilizer can cover 1400 square feet

This means that

7 pounds of fertilizer = 1400 square feet

Divide both sides of the equation by 7

So, we have the following representation

1 pounds of fertilizer = 200 square feet

Multiply both sides of the equation by 2

So, we have the following representation

2 pounds of fertilizer = 400 square feet

Hence, the area is 400 square feet

Read more about unit rates at

https://brainly.com/question/19493296

#SPJ1

So Amy needs to use 2 pounds of Colombia beans and 32 pounds of Kenya beans to create her blend.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

We are aware that an inverse variation or indirect variation occurs when two values are coupled in a way that a rise in one generates a corresponding reduction in the other, and vice versa.

Let x be the number of pounds of Kenya beans and y be the number of pounds of Colombia beans. We know that:

x + y = 30 (since the blend is 30 pounds)

We also know that the blend sells for $8.50 per pound, so the total cost of the blend is:

8.50(x + y) = 8.50(30) = $255

We know that the cost of the Kenya beans is $9.00 per pound and the cost of the Colombia beans is $7.50 per pound, so the total cost of the Kenya beans is:

9.00x and the total cost of the Colombia beans is 7.50y

We can set up the following equation:

9x + 7.5y = 255

We have 2 equations and 2 variables, we can solve this system of equation by different methods, one of them is substitution:

x + y = 30

9x + 7.5y = 255

We can substitute the first equation into the second equation

9(x + y) + 7.5y = 255

9(30) + 7.5y = 255

270 + 7.5y = 255

7.5y = -15

y = -2

So Amy needs to use 2 pounds of Colombia beans. We can substitute that value into the first equation to find the amount of Kenya beans:

x + (-2) = 30

x = 32

So Amy needs to use 32 pounds of Kenya beans.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ4

Answer:

1 3/16

Step-by-step explanation:

1/8 = 2/16

Answer:

1 3/16

Step-by-step explanation:

Answer:

[tex]opposite \approx 147[/tex]

Step-by-step explanation:

To solve this problem one can use the trigonometric ratios, these ratios are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

In this problem, one is given the adjacent side, and is asked to find the opposite side, thus use the function ([tex]tan[/tex]). Substitute in the given value and solve,

[tex]tan(52)=\frac{opposite}{115}[/tex]

Inverse operations,

[tex]115(tan(52))=opposite[/tex]

Solve,

[tex]147 \approx opposite[/tex]

The frequency table for the given data is shown above.

A table drawn up to show the distribution of the frequency of occurrence of a given characteristic according to some specified set of class intervals.

Given is the age of people waiting in line for a movie as -

12, 27, 15, 31, 6, 45, 65, 55, 10, 49, 6, 8

Arrange the data in ascending order -

6, 6, 8, 10, 12, 15, 27, 31, 45, 49, 55, 65

INTERVALS                      FREQUENCY

0 - 10                                       4  

11 - 20                                      2  

21 - 30                                     1

31 - 40                                     1

41 - 50                                     2

51 - 60                                     1

61 - 70                                      1

Therefore, the frequency table for the given data is shown above.

To solve more questions on frequency table, visit the link below -

https://brainly.com/question/28931302

#SPJ1

Answer:

1: 105 degrees

2: 75 degrees

Step-by-step explanation:

2 is a corresponding angle with 75.

1 is supplementary so  x+75 = 180

x=105

Answer:

You are in fact correct

Step-by-step explanation:

mark brainliest plss

Answer:

yes

Step-by-step explanation:

Answer: 5.474 m

Step-by-step explanation:

first jump = 4.25

best jump = first jump * 1.12

winning jump = best jump *1.15

Answer:

144

Step-by-step explanation:

Answer:

I think it is 9 cm

Step-by-step explanation:

Answer:

19 ( i think)

Step-by-step explanation:

1/8*(5/5)= 5/40

2/5*(8/8)= 16/40

16/40 + 5/40 =21/40

40-21= 19

Answer:

19 houses

Step-by-step explanation:

No, 1 gram is not equal to 1 mole. The numerical values of mole and gram are different for an object.

What is 1 gram?

Avogadro number of atoms makes up one mole. It is possible to convert a mole into grams if you know the mole quantity.

Mole: The International System of Units uses the mole (symbol: mol) as the unit of material quantity. How many elementary entities of a particular substance are present in an object or sample is determined by the quantity of that material. It is specified that the mole contains exactly 6.02214076×10²³ elementary entities.

The relation between  gram  and mole is

1 gram = Mole × atomic weight.

To learn more about mole and gram, click on the below link:

https://brainly.com/question/29061471

#SPJ4

a. The system of equations is given as follows:

35x = 15 + 32x.

The solution is given as follows:

x = 5.

b. The meaning of the solution is that the cost to purchase 5 jackets in each company is the same.

c. Gabriela should choose Anastasia's Monogram, as the function has a lower numeric value when x = 10.

The cost per jacket for each company is constant, hence a linear function is used to model the situation.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

Hence the functions for each company are given as follows:

The system of equations is used to find when both will have the same cost, as follows:

35x = 32x + 15

3x = 15

x = 5 jackets.

For 10 jackets, the costs are given as follows:

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

AC = PF

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: B: the length of the wooden sides of the garden box

Step-by-step explanation:

because if she is going to plant flowers she will need to know how big the box she would need for her plants

Therefore . the solution of the given problem of equation comes out to be x-intercept(s): (9,0) and y-intercept(s): (0,−6).

A depiction of two equal variables, one on either side of a "equals" sign, is what constitutes an equation in mathematics. To solve common issues, one can use equations. We frequently look for help with pre algebra to overcome obstacles in real life. Basic mathematical concepts are covered in pre-algebra lessons.

Here,

the x-intercepts,

In order to determine the x-intercept(s), put in for y and calculate 4x6y=36.

Make the equation work.

x=9 point form x-intercepts.

x-intercept(s): \s(9,0) (9,0)

the y-intercepts, please.

In order to determine the y-intercept(s), replace with and solve for y=.4(0-)6y=36.

Make the equation work.

To continue, tap.

Point shape y=6 y-intercept(s).

The y-intercept is (0, 6).

Write down the junctions.

x-intercept(s): (9,0)

The y-intercept is (0, 6).

Therefore . the solution of the given problem of equation comes out to be x-intercept(s): (9,0) and y-intercept(s): (0,−6).

To know more about equation visit:

brainly.com/question/649785

#SPJ1

Answer:

The point, (0.0). is the ordered pair at the origin.

Step-by-step explanation:

Answer:

148

Step-by-step explanation:

180 is the whole thing and if the inner of one is 16 then the other one is also 16 so u add this and subtract 180-32=148

(16+16=32)

Answer:

C. x=42

Step-by-step explanation:

First find the measurement of missing angles. 126+16=142

180-142=38

Now, 16, 3x and 38 should add up to 180 because it is a line.

16+38+3x=180

54+3x=180

Solve for x.

3x=126

3 = 3

x=42. Hope this helps.

Answer:

11.1 feet

Step-by-step explanation:

person = B  cat = C

                                          C

                                      /    |

                   /                       |     x

B /_48]________ ______|

              |____10ft____|

since we know the adjacent side but want the opposite side, we can use tan(angle)=opp/adj to solve.  (make sure to be in degrees lol)

tangent ( 48) = x/10

10 * tan(48) = x

11.1 = x

The cat is 11.1 feet high.