21.A man borrowed Rs. 50,000 for 3 years at the rate of 12% simple interest but he could pay only Rs. 25,000 at the end of 3 years and
agreed to clear his debt at the end of next two years at the rate of 10 %
annual compound interest. Find how much should he pay to clear his
debt? Also find the amount of interest he paid altogether.

Answer: 67.5

Step-by-Step:

If Helen has 90 stamps, then 50% of what she has is 45 stamps.  Half of 45 is 22.5 which is 25% of what Helen has. To find out how many stamps Peggy has, we'll have to do 90 - 22.5 which is 67.5.

Answer:

y = -5/4x + 3

Step-by-step explanation:

slope-intercept form is:  y = mx + b

where 'm' represents slope and 'b' represents the y-intercept

basically we have to solve for 'y':

first step,  add -5x to each side to get:

-4y = 5x - 12

last step,  divide each side by -4 to get:

y = -5/4x + 3

slope equals -5/4

y-intercept equals 3

The statements that are true are:

The x-coordinate of the solution is 1.

The y-coordinate of the solution is -1.

The solution to a system of equations that is graphed is the point at which the two lines intersect. The coordinates of the intersection point are the solution to the system of equations.

In other words, if we have two lines represented by two linear equations, the solution to the system of equations is the point where the two lines intersect. This point is unique and it satisfies both equations simultaneously.

Therefore, the graph shows that both lines intercept at (1, -1). Therefore, the statements that will be true are:

The x-coordinate of the solution is 1.

The y-coordinate of the solution is -1.

Learn more about the solution of a system on:

https://brainly.com/question/13729904

#SPJ1

Answer:

120

Step-by-step explanation:

480 total

1/2 = 240 are cows

1/8 = 60 are goats

remaining = 480-240-60 = 180 are chickens & ducks

33.3333% of 180 = chickens  =180/3 = 60 chickens

so ducks = 180-60 =120

Answer:

120

Step-by-step explanation:

given that out of 480 animals 0.5 of the animals are cows . So ,

no. of cows = 0.5*480 = 240

Again, we are given that 1/8 of the animals are goats , so the number of goats would be ,

no. of goats = 1/8*480 = 60

Total no. of goats and cows ,

= 240 + 60 = 300

No. of remaining animals= 480 -300 = 180

Now out of these 180 animals 33⅓ % animals are chickens and remaining are ducks.

Percentage of ducks = (100 - 33⅓ )% = 66.67%

So the number of ducks would be ,

180 * 66.67/100 = 120

And we are done!

Answer:

x/3 + 5 = 10

Move 5 to the side

x/3 = 5

Multiply both sides by 3

2x/3 = 15

Simplify

x = 15

The function that represents the graph which is piecewise function is written as y = -5, x = 0 and y = - 6,  x ≠ 0.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The equation of the line that is parallel to x-axis is given as,

y = c

The equation passes through (1, -6), then we have

-6 = c

Then the equation is given as,

y = -6, x ≠ 0

And the other equation is given as,

y = - 5, x = 0

Then the piecewise function is given as,

y = -5, x = 0

y = - 6,  x ≠ 0

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

X= 5

Step-by-step explanation:

If shape D is a reflection of shape C then the distance between the shape and the y-axis will be the same on both sides; so, if shape C has a 5cm distance between it and the y-axis, shape D will also have 5cm distance between it and the y-axis.

Answer: The interest for the loan for each day is 5000 x 6.9/100 = $345.

For the first installment, the interest will be for 60 - 1 = 59 days. So, the interest for this period will be 59 x $345/365 = $166.55.

The first installment will be $5000 + $166.55 = $5166.55.

For the second installment, the interest will be for 120 - 60 = 60 days. So, the interest for this period will be 60 x $345/365 = $168.76.

The second installment will be $5000 + $168.76 = $5168.76.

For the third installment, the interest will be for 180 - 120 = 60 days. So, the interest for this period will be 60 x $345/365 = $168.76.

The third installment will be $5000 + $168.76 = $5168.76.

Therefore, each installment will be $5166.55, $5168.76, and $5168.76.

Step-by-step explanation:

The solution of the inequalities y > −3x + 3 and y > x + 2 will be (2, 5). Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The system of inequalities is given below.

y > −3x + 3

The region above the line is considered.

y > x + 2

The region above the line is considered.

The overlap portion of the region is the solution. Point (2, 5) lies in that region.

The solution of the inequalities y > −3x + 3 and y > x + 2 will be (2, 5). Then the correct option is C.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

The probability of drawing a 1 or an even number from the set {1, 2, 3, 4} is 75%.

There are four cards in the set {1, 2, 3, 4}, of which two are even (2 and 4) and one is odd (1). To find the probability of drawing a 1 or an even number, we can add the probabilities of each event occurring:

P(1 or even) = P(1) + P(even)

Since each card is equally likely to be drawn, each of these probabilities is equal to the number of cards that satisfy the condition divided by the total number of cards:

P(1) = 1/4 (there is one card with a 1)

P(even) = 2/4 = 1/2 (there are two cards with even numbers out of four)

Therefore,

P(1 or even) = P(1) + P(even)

= 1/4 + 1/2

= 3/4

To express the answer as a percentage, we can multiply by 100:

P(1 or even) = 3/4 * 100%

=> 75%

To learn more about Probability :

https://brainly.com/question/24756209

#SPJ4

The number with a subscript of 12 or number base 12 that is equal to 888₉ + 555₆ + 222₂ is 689.

Using the number base conversion system,  the sum of the given numbers in base ten is determined as follows:

888₉ + 555₆ + 222₂ = X₁₂

888₉ = 8 * 9² + 8 * 9¹ + 8 * 9⁰

888₉ = 728

555₆ = 5 * 6² + 5 * 6¹+ 5 * 6⁰

555₆ = 215

222₃ = 2 * 3² + 2 * 3¹ + 2 * 3⁰

222₃ = 26

888₉ + 555₆ + 222₂ = 728 + 215 + 26

888₉ + 555₆ + 222₂ = 969

969 = X₁₂

969 = 689₁₂

Hence, X = 689

Learn more about number bases at: https://brainly.com/question/21757274

#SPJ1

The area of the composite figure is equal to 216 square inches

The composite figure can be observed to be made up of six identical squares, so we shall calculate for the area of one square and then multiply the result by six to get the total area of the composite figure as follows:

area of a square = length²

area of the one square = 6 in × 6 in

area of the one square = 36 in²

total area of the composite figure = 36 in² × 6

total area of the composite figure = 216 in²

Therefore, the area of the composite figure is equal to 216 square inches.

Know more about area here:https://brainly.com/question/21135654

#SPJ1

ok so to find the opposite of something like this you gotta simplify it first

a negative times a negative is a positive

-(-3) = 3

the opposite of 3 is... drumroll please...   -3

Hope this helps,

- Jeron :- )

Answer:

-3

Step-by-step explanation:

-(-3) is just positive 3

the probability of that there will be 2 defective items among them is 0.476 or 47.6%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Calculating the possibility of an event occurring is the focus of the math discipline of probability. Probability gauges the likelihood of an event occurring.

there are 4 defective items in a lot consisting of 10 items.

from this lot we select 5 items at random.

The number of ways in which 55 items can be selected 10 C 5 = 252.

Number of ways in which 2 defective systems and 3 non-defective systems can be selected

4C2 * 6C3 = 6*20=120

The probability = 120 / 252 = 0.476

Hence the probability of that there will be 2 defective items among them is 0.476 or 47.6%.

Learn more about probability, by the following link.

brainly.com/question/24756209

#SPJ4

x = original price for the jacket

now, let's reduce it by 20%, so hmmm that means the new price is really 100% - 20% = 80% of the original price, how much is that?

[tex]\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{80\% of x}}{\left( \cfrac{80}{100} \right)x}\implies 0.8x[/tex]

now, from that new price, let's reduce it by 10%, that means the newer price will be 100% - 10% = 90% of this new price of 0.8x, so

[tex]\stackrel{\textit{90\% of 0.8x}}{\left( \cfrac{90}{100} \right)0.8x}\implies 0.72x\hspace{5em}\stackrel{\textit{72\% of the orignal price}}{\textit{a reduction of 28\%}}[/tex]

Answer:

18 and A i think

Step-by-step explanation:

i don t really know if this is right but since it only asks the area of E and not the whole cuboid

9 × 2 = 18

A also equals to 18 because it has the the same width and length as E.

hope this helps

Answer:

0.543 or 54.3%

Step-by-step explanation:

This is an example of a binomial distribution, where the probability of success (playing the particular song) is 0.42, and the number of trials is 6.

To find the probability that the song will be played on at least 3 days out of 6, we need to calculate the probability of the song being played on 3, 4, 5, or 6 days.

Using a binomial probability calculator or formula, we can calculate these individual probabilities:

Probability of the song being played on 3 days out of 6: 0.308

Probability of the song being played on 4 days out of 6: 0.177

Probability of the song being played on 5 days out of 6: 0.052

Probability of the song being played on all 6 days: 0.006

To get the probability of the song being played on at least 3 days out of 6, we add these individual probabilities together:

0.308 + 0.177 + 0.052 + 0.006 = 0.543

Therefore, the probability that the song will be played on at least 3 days out of 6 is 0.543 or 54.3% (rounded to the nearest thousandth).

The first graph represents [tex]f(x)=2(3) ^x[/tex].

Graph of a function:

All of the plane's points having the form (x, f(x)) that make up a function f's graph are gathered together. The graph of f is also referred as the graph of y = f. (x).

The given function is,

[tex]f(x)=2(3)^x[/tex]

Putting x = 1,

[tex]f(x)= 2(3)^1=6[/tex]

The point (1, 6) that is (x, f(x)) must therefore satisfy the condition or be on the curve of the function.

Only in case of the first graph, the point (1, 6) lies on the curve.

As a result, the first graph accurately depicts the function.

To learn more about a function's graph, go to:

https://brainly.com/question/12635801

#SPJ1

The prove of BC || AD is shown in below.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

⇒ ΔABE ≅ ΔCDE

Now, Prove of BC || AD is shown in below as;

⇒ ΔABE ≅ ΔCDE    ( Given )

Hence, We get;

⇒ AB ≈ DC

Now, In triangle ΔBEC and ΔDEA;

⇒ ∠BEC = ∠AED   (Vertically opposite angle)

⇒ BE = ED

⇒ AE = EC

Hence, By SAS congruency;

Triangle ΔBEC and ΔDEA are congruent.

Hence, We get;

⇒ BC = AD

Since, In a parallelogram ABCD;

⇒ AB = CD

⇒ AD = BC

Hence, We get;

⇒ BC || AD

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer: 108 cm. (Squared)

Step-by-step explanation:

Top/Bottom: 7 x 3 = 21 / 2 = 10.5 x 2 = 21

Small Side: 3 x 5 = 15

Medium/Back Side: 5 x 7 = 35

Large Side: 7.6 x 5 = 38

21 + 15 + 35 + 38 = 108

Check the picture below.

so from the provided information, we can say that the parabola has a vertex at (3 , 45) and it has a zero at (6 , 0) or we can say is just another point at (6 , 0)

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=3\\ k=45\\ \end{cases}\implies y=a(~~x-3~~)^2 + 45\hspace{4em}\textit{we also know that} \begin{cases} x=6\\ y=0 \end{cases} \\\\\\ 0=a(6-3)^2+45\implies -45=9a\implies \cfrac{-45}{9}=a\implies -5=a \\\\\\ ~\hfill {\Large \begin{array}{llll} y=-5(x-3)^2 + 45 \end{array}} ~\hfill[/tex]

The ordered pair that lies on the inverse of the function is (-1, -3)

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

g(x)=^3√x+2

Rewrite as

g(x) = ∛(x + 2)

Next, we test the options

Set x = -3

So, we have the following representation

g(-3) = ∛(-3 + 2)

Evaluate the expression

g(-3) = -1

As an ordered pair, we have (-1, -3)

So, the ordered pair of teh inverse is (-1, -3)

Read more about inverse functions at

https://brainly.com/question/3831584

#SPJ1

Answer: -1,-3

Step-by-step explanation:

The correct descriptions of the given numbers are as follows:

A rational number is one that can be written as P/Q, where P and Q are both integers and Q is greater than zero. An illustration of a rational number is 2/3.

However, an irrational number cannot be expressed using straightforward fractions. An example of an irrational number is √2.

Learn more about rational and irrational numbers at: https://brainly.com/question/20400557

#SPJ1

Answer:

shown below

Explanation:

so first you can graph a dot at (2,-1), since it must go through that line. Then you can use the slope, 3, to figure out the next dot. The slope 3 can be put into a fraction, liking like 3/1. Then you use rise/run from your point (2,-1). You go up 3, and right 1. Using that, your next point is (3,2). Plot that dot, and then use a straight edge to draw your line. It looks like how it is in the picture.

Answer: look at the image for the answer, and give me brainliest

Step-by-step explanation:

Answer:

(a) 3/7

(b) 2/7

(c) 0 or Impossible

Step-by-step explanation:

(a) There are seven letters in total. Three of the letters are s. Therefore out of the seven cards, three are the letter s. - 3/7

(b) Again there are seven letters in total. Two of the letters are vowels. Therefore out of the seven cards, two are vowels. - 2/7

(c) Yet again there are seven letters in total. None of the letters are a. Therefore out of the seven cards, none are the letter a. It is impossible to get the letter a - 0/7

Hope this helps :)

By evaluating an equation we will see that the value of the coins is $5.

Each nickel is whorth $0.10 and each quarter is whorth $0.25, so the value for n nickels and q quarters is given by the equation below:

v = q*0.25 + n*0.10

Here we know thathe has 10 nickels and 8 quarters, replacing that we will get:

v = 8*0.25 + 10*0.10

v = 4 + 1

v = 5

The value is 5 dollars.

Laern more about equations at:

https://brainly.com/question/13729904

#SPJ1

Richard can expect the population to be 4,100 people 4 years after he moved there.

To model the population growth, we can use an exponential equation in the form y = a * b^x, where a is the starting population (3,650), b is the growth factor, and x is the number of years after Richard moved there.

To find the value of b, we can use the population growth between the first year (x = 1) and the second year (x = 2). Let's call the population at x = 2 as P.

P = a * b^2

P = 3,869

Substituting the values, we get:

3,869 = 3,650 * b^2

Dividing both sides by 3,650, we get:

b^2 = 1.06

Taking the square root of both sides, we get:

b = 1.03

So, the exponential equation that models the Clover Hills population is:

y = 3,650 * 1.03^x

To find the population 4 years after Richard moved there (x = 4), we can substitute x = 4 into the equation:

y = 3,650 * 1.03^4

y = 3,650 * 1.129

y = 4,123.738

Rounding to the nearest hundred people, we get:

y = 4,100 people

Learn more about functions on:

https://brainly.com/question/10439235

#SPJ1

Destiny makes $(x - y) more than Stephanie.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are the hourly wages of destiny make and Stephanie.

Assume that the hourly wages of Destiny are ${x} and than of Stephanie are ${y}. Let Stephanie make ${z} more than Destiny. So we can write -

z = x - y

Therefore, Destiny makes $(x - y) more than Stephanie.

To solve more questions on functions, visit the link below-

brainly.com/question/17613163

#SPJ1

The estimated deer population live in the region is calculated as:

N = (2 * 220 * 50) / x

One method to estimate the deer population is by using the Lincoln-Petersen index, which is calculated as:

N = (2 * tagged deer count * sample size) / (number of tagged deer in the sample).

Using the data you provided, the number of tagged deer in the 8 samples is the sum of all the tagged deer counted in each sample, let's call this sum "x". Then, the estimated deer population in the region is calculated as:

N = (2 * 220 * 50) / x

Since the actual value of x is unknown, we cannot calculate the exact population. But, this formula gives us a method to estimate the population based on the number of tagged deer found in future samples.

Learn more about Estimate Deer Population here:

https://brainly.com/question/12560069

#SPJ4