URGENT PLEASE HELP ‼️
After investing a sum of money for 10 years a person accumulated $84 200. The simple interest earned from the investment was $24 600.

(a) What was the initial sum of money invested?

(b) What was the percentage rate of return per annum on the investment?

Based on the statement given, the completion of the statement is 7 divided by 1/8 = 56.

The statement is asking for the number that would divide 7 such that the result of this division would be 56.

Assuming the number is x, the formula would be:
7/x = 56

Here, x would be the mystery number that would divide 7 to give 56.

Solving for x is:

7/x = 56

7 = 56x

x = 7/ 56

x = 1/8

In conclusion, when 7 is divided by 1/8, it gives 56.

Find out more on divisions at https://brainly.com/question/28031660

#SPJ1

Answer:

x= 8

Step-by-step explanation:

Vertical lines have undefined slopes, with an equation of x= ____. This is because when using the slope formula, the denominator would be a zero. The coordinates of points that lie on a vertical line have the same y-coordinate, but different x-coordinate value.

Given that the line passes through (8, 6), the line has an equation of x= 8.

To learn more about the equations of vertical and horizontal lines, check out: https://brainly.com/question/28305863

(C) The perimeter of the ΔABC is 9 + √41 units.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.

The vertices of the triangle on the girds are A( - 1, 5 ), B( 4, 5 ), and C( - 1, 1 ).

The distance formula for the length of a line segment is given as:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore,

[tex]AB=\sqrt{(4-(-1))^2+(5-5)^2}=\sqrt{(4+1)^2+0}=5[/tex]

[tex]BC=\sqrt{(-1-4)^2+(1-5)^2}=\sqrt{(-5)^2+(-4)^2}=\sqrt{25+16}\\BC=\sqrt{41}[/tex]

[tex]AC=\sqrt{(-1-(-1))^2+(1-5)^2}=\sqrt{(-1+1)^2+(-4)^2}\\AC=\sqrt{0+16}=4[/tex]

Hence, the length of the sides of the triangle are [tex]5,\sqrt{41},4[/tex] units.

Now, the perimeter of a triangle is the sum of all three sides of the triangle.

Therefore, the perimeter of the triangle ABC is:

P = AB + BC + AC

P = 5 + √41 + 4

P = 9 + √41 units

Therefore, the perimeter of ABC is 9 + √41 units.

Learn more about perimeter here:

https://brainly.com/question/27255543

#SPJ1

The complete question is mentioned below:

Triangle ABC is shown on the grid.

What is the perimeter of triangle ABC?

(A) 9 + √21 units

(B) 9 + √29 units

(C) 9 + √41 units

(D) 9 + √61 units

By definitions of collinearity and line segment, the length of the line segment KL is equal to 25 units.

In this problem we find four points that are collinear, that is, that lie in the same line. Therefore, there are three consecutive line segments: IJ, JK and KL, whose ratios are known. From the statement, we derive the following formula for KL:

KL = (5 / 12) · IL

KL = (5 / 12) · 60

KL = 25

The length of the line segment KL is equal to 25 units.

To learn more on collinear lines: https://brainly.com/question/2108998

#SPJ1

The value of x for a given logarithm is 49.9.

Log10(x²+4)=2+Log10x-Log10 20​=

x = 49.9

2 = log10( 100)

so we have

log10( x [tex]\times[/tex]2 4) = log10( 100) log10( x)- log10( 20).

factor out log10 from RHS.

also log10( [tex]x[/tex] x  2 4) = log10( 100x/ 20).

log10 cancel log10.so, break the quadratic equation after simplification to have x = 49.9 or0.080

That is, the logarithm of a given integer x is the exponent to which another set number, the base b, must be increased in order to produce x. In the most the logarithm counts the number of times the same factor appears in repeated addition; for illustration, since 1000 = 10 10 10 = 103, the" logarithm base 10" of 1000 is 3, or log10( 1000) = 3. When no mistake is conceivable, or when the base does not important, the logarithm of x to base b is expressed as logb( x), without logb x, or indeed without the base, logx.

To learn further about Logarithm from the given link

https//brainly.com/question/28346542

#SPJ9

Answer:

3

Step-by-step explanation:

-4|3| -1 = -13

-12 -1 = -13

-13 = -13

Answer:

3

Step-by-step explanation:

-4|3| -1 = -13

-12 -1 = -13

-13 = -13

[tex]\boxed{\begin{minipage}{5cm}\sf{2(x+3)=-4(x+1)}\\\sf{2x+6=-4x-4}\\\sf{6x+6=-4}\\\sf{6x=-10}\\\sf{x=-10/6}\\\sf{x=-5/3}\end{minipage}}[/tex]

Answer:

3/4 > 3/5 is true.

Hope this helps :)

Explanation and Check below.

Step-by-step explanation:

1. To compare fractions with the same numerators, look at the denominators and the greater one is the smaller number.

2. To compare fractions with the same denominator, look at the numerator and the answer will be the bigger number.

3. To compare fractions with different denominators, find the Least Common Multiple (LCM).

3/4 > 3/5 ✓

3/7 > 3/5 ✘

12/25 > 3/5 = 12/25 > 15/25 ✘

30/100 > 3/5 = 30/100 > 60 ✘

For the given data-set, we have that:

1. The mean is of 1199.3, the median is of 1198 and the distribution is bimodal, with 1197 and 1198 as modes.

2. The Pearson coefficient is of 0.24, and since it is positive, the data is positively skewed.

3. The range is of 82.

4. The standard deviation is of 16.47.

Using a calculator, which just applies the concepts explained above, as the data-set is too large, the measures are given as follows:

The Pearson Skewness Coefficient is given by:

P = 3(Mean - Mode)/Standard Deviation

The meaning of the coefficient is:

For this problem, the coefficient is given by:

P = 3(1199.3 - 1198)/16.48 = 0.24.

The Pearson coefficient is of 0.24, and since it is positive, the data is positively skewed.

More can be learned about the statistical measures of a data-set at https://brainly.com/question/24732674

#SPJ1

The result function of  (fog)(x) in the given functions is 3x² - 1.

Given the functions in the questions;

Set up the composite result function and simplify.

(fog)(x) = f(g(x) = f(x²)

Evaluate f(x²) by substituting in the value of g into f

fx(x) = 3x - 1

f(x²) = 3(x²) - 1

Now, simplify

f(x²) = 3(x²) - 1

f(x²) = 3x² - 1

Therefore the result function of  (fog)(x) in the given functions is 3x² - 1.

Learn more about composite function here: https://brainly.com/question/20379727

#SPJ1

Answer:

21 yards

Step-by-step explanation:

1 3/4 * 12 = (12 + (3/4 of 12)) = 12 + 9 = 21

Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

7x−3=18

Step 1: Add 3 to both sides.

7x−3+3=18+3

7x=21

Step 2: Divide both sides by 7.

7x/7 = 21/7

x=3

The change in rainfall between the rainfall last year and the average (or mean) annual rainfall is 22 inches

The given parameters are

Average annual rainfall = 51 inches

Last year = 29 inches

The change in rainfall between the rainfall last year and the average (or mean) annual rainfall is calculated as

Change = |Annual rainfall - Last year|

This gives

Change = |51 - 29|

Evaluate

Change = 22

Hence, the change in rainfall between the rainfall last year and the average (or mean) annual rainfall is 22 inches

Read more about net change at:

https://brainly.com/question/1153322

#SPJ1

Answer: 7x=9

because x is 2 and 7+2= 9

The standard price night cost at Night-Time Rest Days is $ 26.30 .

Average = Sum of all the observations/Number of observations

Substituting the values in the formula, we get that:

⇒ $ 20.60 = $( 22.45 + 18.55 + 24.50 + 11.20 + x )/5

⇒ $ 20.60 = $ (76.7 + x)/5

⇒ 20.60 × 5 = 76.7 + x

Solving to find the value of x, we get that

⇒ 103 = 76.7 + x

⇒ x = 103 - 76.7

⇒ x = 26.3

Therefore, the standard price night cost at Night-Time Rest Days is $ 26.30 .

"Learn more about average here-

https://brainly.com/question/1136789 "

#SPJ9

Answer:

CD=2

BC=3

A1B1=2.4

D1E1=3.2

For the boxes on the bottom:

BC=B1C1     CD=C1D1

A1B1=AB      D1E1=DE      

Answer:

BC = 3

CD = 2

A1 B1 = 2.4

D1 E1 = 3.2

Answer:

3-x

Step-by-step explanation:

The equation used to determine how many cookies Noah sold is 317 = 13n + 5 where number of cookies Noah sold is 24

Total = Noah + Lin + Jada + Elena + Diego + Andre

317 = n + 3n + (5 + 3n) + {7 + (5 + 3n)} + (n - 4) + {2(n - 4)}

317 = n + 3n + 5 + 3n + 7 + 5 + 3n + n - 4 + 2n - 8

317 = 13n + 5

317 - 5 = 13n

312 = 13n

n = 312 / 13

n = 24 cookies

Learn more about equation:

https://brainly.com/question/4344214

#SPJ1

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{8}~,~\stackrel{y_1}{14})\qquad P(\stackrel{x_2}{-21}~,~\stackrel{y_2}{-39})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ NP=\sqrt{(~~-21 - 8~~)^2 + (~~-39 - 14~~)^2} \implies NP=\sqrt{( -29 )^2 + ( -53 )^2} \\\\\\ NP=\sqrt{ 841 + 2809 } \implies NP=\sqrt{ 3650 }\implies NP\approx 60.42[/tex]

The four sides of the quadrilateral are 9 m,10 m, 11 m and 12 m.

What is a quadrilateral?

A quadrilateral is a four-sided polygon with four angles and four vertices. The term "quadrilateral" comes from the Latin words "quadri," which means "four," and "latus," which means "side."

Let the four sides of the quadrilateral be (x-2), (x-1), x, (x+1).

Then, perimeter = (x-2) + (x-1) + x + (x+1)

i.e., x - 2 + x - 1 + x + x + 1 = 42

i.e., 4x - 2 = 42

i.e., 4x = 42 + 2

i.e., 4x = 44

i.e., x = 11

Hence, the four sides of the quadrilateral are 9 meters, 10 meters, 11 meters and 12 meters.

To know more about quadrilaterals, click on the link

https://brainly.com/question/12672291

#SPJ1

Zach is supposed to pay $1000 for this surgery. The other $4000 is to be covered by his insurance.

Responsibility of insurance carriers:-

A primary function of an insurance agent is that of a communicator, counselor, and facilitator. The insurance agent can provide the best products and services for the prospective customer's various needs, such as life, property, health, and burglary insurance. When purchasing an insurance product, let the insurance agent know ahead of time how much money they have set aside for insurance coverage. In turn, the insurance agent will assist their clients in obtaining the lowest or best insurance product costs.

:- The insurance agent has a variety of responsibilities in the insurance industry, as noted below:

1) An insurance agent assists customers in promoting and selling insurance products and services.

2) Providing consumers with solid financial advice and personal service

3) Desires to work with individuals and their families and businesses.

#SPJ9

Answer:

Approximately 3 bottles

Step-by-step explanation:

28*4 = 112 tablets in a month

122/55 = 2.218 bottles

Basically, you will need to buy 3 bottles.

Answer:

8 students

c>=A+B

b=2a

24<=C

Answer: 1296

Step-by-step explanation:

(6^2)^2=

(6^(2*2))=

6^4=1296

Answer:3

Step-by-step explanation:bc

Accordingly the Venn diagram The required values of x = 12 , y = 13 , z = 24 and t = 13.

A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items.

In Venn diagram, if two sets A and B do not intersect, then n(A∩B)=0 and n(A∪B) = n(A) + n(B).

Given: n(U) = 50, n(A) = 25, n(B) = 13 and n(A'∩B')=12

We have to determine the values of x, y, z, and t.

According to the given figure,

n(A') = n(U) - n(A)

n(A')=  50 - 25

n(A') = 25

n(B') = n(U) - n(B)

n(B') = 50 - 13

n(B') = 37

n(A∩B) = n(A') - n(A'∩B')

n(A∩B) = 25 - 12

n(A∩B) = 13

So, y = n(A∩B) = 13

As  in the Venn diagram, we know that,

x + y = n(A')

x = n(A') - y

x = 25 - 13

x = 12

y + z = n(B')

13 + z = 37

z = 37 - 13

z = 24

t = n(U) - [n(A) + n(B)]

t = 50 - [25+13]

t = 50 - 37

t = 13

Therefore, the values of x, y, z and t are 12, 13, 24, and 13.

To learn more about the Venn diagram here:

brainly.com/question/16859507

#SPJ1

There is a difference of actual and approximations 9.46 dollars.

Unitary method is a mathematical way of first deriving the value of a single unit then multiplying the given unit to obtain the required result.

According to the given question we have to compare the results where in first case we put actual values and on the second case we round the values.

In the first case

You're going on a 1211 mile trip, and your car gets about 29 miles per gallon.

So, the total fuel consumption will be (1211/29) gallons which is

= 41.76 gallons.

Given 1 gallon of gas costs 3.10 dollars.

∴ 41.76 gallons of gas will cost ( 41.76×3.10) dollars which is

= 129.456 dollars.

= 129.46 dollars.

In the second case

It is a 1200 mile trip and the fuel economy of the car is 30 miles per gallon.

So, the total fuel consumption will be

= 1200/30

= 40 gallons.

Given 1 gallon of gas costs 3 dollars.

∴ 40 gallons of gas costs (40×3) dollars which is

= 120 dollars.

learn more about unitary method here :

https://brainly.com/question/14793162

#SPJ1

Answer:

[-10, 2]

Step-by-step explanation:

The domain is the set of x values.

The Retained Earnings Balance as of the Ending of the Year, December 31, 20XX is $23,900

What is net income?

The net income is the excess of fees earned by Adventure Travel  in the year ended  over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense

total expenses=32,800+16,800+3960+4000+2800

total expenses=60,360

fees earned=75,000

net income =fees earned-total expenses

net income=75,000-60,360

net income=$14,640

Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid

Retained earnings=$14,640+$ 10,260-$1,000

Retained earnings=$23,900

Find out  more about net income on:brainly.com/question/1347024

#SPJ1

Answer:

133

Step-by-step explanation:

SP is part of a line and line is 180°

so:

m∠PQR + m∠RQS= 180°

(3x-5)  + ( x+1) = 4x-4=180

4x = 184

x= 46

m∠PQR = 3X-5 = 3(46)-5 =133

Answer:

133

Step-by-step explanation:

Supplementary angles are angles that sum to 180°, meaning they form a straight line.

Solving for x

Since we know that these 2 angles will sum to 180 (remember they are supplementary) we can add their expression together and set it equal to 180.

Next, combine like terms.

Add 4 to both sides

Divide by 4

Solve for m∠PQR

Now that we know the value of x, we can find the measure of PQR. Simply plug 46 in for x and solve.

This means that m∠PQR = 133°.