By answering the given question, we may state that Hence, the interest appropriate response is X = 40 and 8x + 10y = 600
what is interest ?Divide the principal by the interest rate, the length of time, and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing formula. This method makes it easiest to calculate interest. The most typical technique to figure out interest is as a portion of the principal sum. He will only pay his share of the 100% interest, for example, if he borrows $100 from a friend and agrees to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an annual percentage of the loan total. The interest on the loan is this percentage.
Selling x calendars will cost 8x, while selling y mugs will cost 10y. The scenario is therefore represented by the following system of inequalities in order for her to reach her objective of selling at least $600 worth of stuff, including at least 40 calendars:
(Total cost of goods sold must be at least $600; 8x + 10y)
x ≥ 40 (must sell at least 40 calendars) (must sell at least 40 calendars)
In the first inequality, you'll see that we used the symbol "" rather than ">" since Dominique needs to sell at least $600 worth of goods, not just more than $600.
Hence, the appropriate response is
X = 40 and 8x + 10y = 600
To know more about interest visit:
https://brainly.com/question/28792777
#SPJ1
How do you find the inverse of a modulo?
You need to find a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This can be done using the extended Euclidean algorithm, and the resulting inverse is the residue of the coefficient modulo the modulus.
Finding the inverse of a modulo involves finding a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This process is important in modular arithmetic, where calculations are performed with remainders of a fixed integer modulus.
To find the inverse of a modulo, you can use the extended Euclidean algorithm, which is a method for finding the greatest common divisor of two integers.
The steps for finding the inverse of a modulo are as follows:
1. Identify the number you want to find the inverse of (let's call it "a") and the modulus (let's call it "m").
2. Use the extended Euclidean algorithm to find the greatest common divisor of "a" and "m", and the coefficients x and y such that ax + my = gcd(a,m).
3. If gcd(a,m) = 1, then "a" has an inverse modulo "m" and the inverse is given by x mod m.
4. If gcd(a,m) is not equal to 1, then "a" does not have an inverse modulo "m".
In step 3, x mod m represents the residue of x modulo m, which is the unique non-negative integer less than m that is congruent to x modulo m. In other words, it is the remainder when x is divided by m.
For example, to find the inverse of 5 modulo 7, we can use the extended Euclidean algorithm to find that 2(5) + (-1)(7) = 1. Therefore, the inverse of 5 modulo 7 is 2.
Learn more about modulo here: brainly.com/question/29262253
#SPJ4
The base area of a rectangular tank is 300 cm square. The capacity of the tank is 6 litres. Peter fills the tank with water up to 4/5 of its height. What is the height of the water leve?
Answer: 1 liters = 1000 cm^36 liters = 6000 cm^3Height
Step-by-step explanation:
1 liters = 1000 cm^36 liters = 6000 cm^3Height
please help worth 100 points
Two rival dry cleaners both advertise their prices. Store A's prices are modeled by the expression 25x-9 where x is the number of items brought in. Store B's prices are modeled by the expression 5(5x+8), where x is the number of items brought in. When do the two stores charge the same rate? Write the equation and show the work to justify your response.
Answer: never
Step-by-step explanation:
Store A's prices are represented by the expression 25x-9
Store B's prices are represented by the expression 5(5x+8)
To find when the 2 stores charge the same rate , we set the expression equal and solve for x
25x-9 = 5(5x+8)
25x -9 = 25x + 40
Subtract 25x on both sides
-9 = 40
We cannot solve for x
So , the price of two stores never be same
Two stores never charge the same rate
for one weekend each year before school begins, people can buy clothing without paying any sales tax. Nora is shopping for new outfits to wear to school. She also has a coupon that will take 5% off of each item she buys.
Part A: Write an equation for the amount of money (c) that Nora would spend, after the discount is applied, on a shirt that cost (d) dollars.
Part B: Nora can spend a total of $57 on clothes at this store. What is the total value of the clothes that Nora can buy at the store, in dollars, before the discount is taken?
Answer:
Part A:
The equation for the amount of money Nora would spend after the discount is applied on a shirt that costs d dollars is:
c = d - 0.05d
c = 0.95d
Part B:
Let x be the total value of the clothes Nora can buy before the discount is taken.
After the discount is applied, she can spend a total of $57, so we have:
0.95x = 57
x = 60
Therefore, Nora can buy a total of $60 worth of clothes before the discount is taken.
Due to inflation, a fixed quantity of money can buy 5% less every year. If camille has enough in her wallet to buy 86 movie tickets right now, how many movie tickets could the same amount of money buy in 4 years?.
Due to inflation, a fixed quantity of money can buy 5% less every year. If camille has enough in her wallet to buy 86 movie tickets right now, the same amount of money could buy 69 movie tickets in 4 years.
Inflation is the sustained increase in the general price level of goods and services in an economy over a period of time. When inflation occurs, each unit of currency buys fewer goods and services; consequently, inflation reduces the purchasing power of money. Here, inflation reduces the purchasing power of money by 5% every year.
Let's assume that Camille has enough in her wallet to buy 86 movie tickets right now. After 1 year, the same amount of money would be able to buy 86 * (100 - 5) / 100 = 81.7 movie tickets, since the purchasing power of the same amount of money would have decreased by 5%.
After 2 years, the same amount of money would be able to buy 81.7 * (100 - 5) / 100 = 77.6 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.
After 3 years, the same amount of money would be able to buy 77.6 * (100 - 5) / 100 = 73.7 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.
After 4 years, the same amount of money would be able to buy 73.7 * (100 - 5) / 100 = 69.9 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.
However, since movie tickets cannot be bought in fractional amounts, we would round down to the nearest whole number, so the same amount of money could buy 69 movie tickets in 4 years.
To learn more about inflation click on,
https://brainly.com/question/30012435
#SPJ4
Solve for x. Round to the nearest tenth.
Thank you!
The value of the hypotenuse x is 19.1
How to determine the value of the hypotenuse xFrom the question, we have the following parameters that can be used in our computation:
Rise = 17
Angle = 63 degrees
The hypotenuse, x is then calculated using the following laws of sines
sin(63) = 17/x
Make x the subject
So, we have the following representation
x = 17/sin(63)
Evaluate the expression
This gives
x = 19.1
Hence, the value of x is 19.1
Read more about triangles at
https://brainly.com/question/14285697
#SPJ1
what is the value of 1000m in ft?
1000 meters is equal to 3280.84 feet. To convert from meters to feet, you must multiply the number of meters by 3.28084. This is due to the fact that a meter is slightly longer than a foot.
One meter is equivalent to 3.28084 feet. Therefore, to compute 1,000 meters in feet, you must multiply 1,000 meters by 3.28084. Doing this calculation yields a result of 3,280.84 feet. The meter is the primary unit of measurement for length in the International System of Units, or SI. The SI base unit for length is the meter, which is defined as the length of the path travelled by light in a vacuum in 1/299,792,458 seconds. In other words, the meter is the distance light travels in a vacuum in 1/299,792,458 of a second. The meter is also referred to as the "meter of the air," since it is the length of the path travelled by light in the air in the same time.The foot is a unit of length in the British Imperial and US customary systems of measurement, and is equivalent to 1/3 of a yard. One foot is equal to 0.3048 meters.
Learn more about equivalent here:
https://brainly.com/question/14672772
#SPJ4
I need help on this one
Answer:
24
Step-by-step explanation:
2x3=6
6x4=24
Write a function in any form that would match the graph shown
The function which would match the graph shown as in the task content is; y = -1/2 (x - 6) (x + 5).
Which function would match the graph shown?It follows from the task content that; the zeroes of the parabola are; -5 and 6;
Therefore, we have that;
y = a (x - 6) (x + 5).
To determine the value of a; use the y-intercept such that we have; (0, 15).
15 = a (0 - 6) (0 + 5)
15 = -30a
a = -1/2.
Ultimately, the required function to match the graph is; y = -1/2 (x - 6) (x + 5).
Read more on graph of quadratic function;
https://brainly.com/question/29905530
#SPJ1
what is the value of 5(2 x -4) - 2y if x = -2 and y =6
Answer:
-52
Step-by-step explanation:
If x = -2 and y = 6, then we can substitute those values into the expression:
5(2 x - 4) - 2y = 5(2(-2) - 4) - 2(6)
= 5(-4 - 4) - 2(6)
= 5(-8) - 2(6)
= -40 - 12
= -52
So, the value of the expression 5(2 x - 4) - 2y when x = -2 and y = 6 is -52.
Evan runs a circular loop around his neighborhood after he ran a lap he calculated that he had run 744 feet what is the diameter across this loop
The diameter across this loop was 236.6 feet
What is the perimeter?Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.
Perimeter = Sum of length of the all the sides
However, if we assume that Evan ran around the loop's outer edge and not inside the loop,
we can use the formula for the circumference of a circle,
which is C = πd,
where C is the circumference, d is the diameter, and π is approximately 3.14.
We can rearrange the formula to solve for the diameter,
which is d = C/π.
Plugging in the given value for the circumference, we get:
d = 744/π ≈ 236.6 feet
Therefore, if Evan ran around the outer edge of the loop, the diameter of the circle is approximately 236.6 feet.
To know more about Perimeter check:
https://brainly.com/question/6465134
#SPJ9
Mmusi borrows an amount of money from Aggie. After two years, Mmusi pays back money, plus 18% simple interest per year. He has to pay back an amount of R4080 much money did he borrow from Aggie?
The required, Mmusi borrowed R3000 from Aggie as per the given conditions.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.
Amount = Principal [1 + rate×time]
Let's call the amount Mmusi borrowed from Aggie "P".
After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P
So if he has to pay back R4080, we can set up an equation to solve for P:
1.36P = 4080
To find P, we can divide both sides by 1.36:
P = 4080 / 1.36 = 3000
So Mmusi borrowed R3000 from Aggie.
Learn more about simple interests here:
https://brainly.com/question/26457073
#SPJ9
Find x. Round your answer to the nearest tenth of a degree
7. Mr. and Mrs. Quigley just moved into a new home with a lot of land. They need to plant grass seed The problem is that they are not sure how to figure the new amount that they need. At their old house they knew that the lawn was 10 ft by 20 ft. and needed 5 pounds of seed. Their new lawn is 100 # by 50 ft. How will knowing the amount of seed needed from their old house help them with Buying seed for the new lawn? How much will they need? Show all work
Answer: Seed needed for the new lawn = 125 pounds
Step-by-step explanation:
Knowing the amount of seed needed for their old lawn will help Mr. and Mrs. Quigley calculate the amount of seed needed for their new lawn based on the size of the area.
First, let's calculate the area of the old lawn:
Area = length × width
Area = 10 ft × 20 ft
Area = 200 square feet
Next, we can determine the seed requirement per square foot for the old lawn:
Seed requirement per square foot = total seed needed ÷ area of the lawn
Seed requirement per square foot = 5 pounds ÷ 200 square feet
Seed requirement per square foot = 0.025 pounds per square foot
Now, let's calculate the area of the new lawn:
Area = length × width
Area = 100 ft × 50 ft
Area = 5000 square feet
To find the amount of seed needed for the new lawn, we can multiply the seed requirement per square foot by the area of the new lawn:
Seed needed for the new lawn = Seed requirement per square foot × area of the new lawn
Seed needed for the new lawn = 0.025 pounds per square foot × 5000 square feet
Therefore, Mr. and Mrs. Quigley will need 125 pounds of grass seed for their new lawn based on the calculations using the information from their old lawn.
Una mujer de negocios desea invertir $30,000 en fondos diferentes que producen ganancias anuales del
13% y 15% respectivamente.
¿Cuánto debe invertir en cada fondo para obtener ganancias de $4,350 después de un año?
The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
We can use substitution or elimination method to solve when there are more than one equation.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's denote,
The amount invested in the 13% fund = x
The amount invested in the 15% fund = y.
Now,
The total amount invested = $30,000,
i.e
x + y = 30000 _____(1)
The total return after one year = $4,350.
Which can be expressed as,
0.13x + 0.15y = 4350 _____(2)
Use the substitution method.
From (1),
x + y = 30000
y = 30000 - x _____(3)
Substituting y in (2)
0.13x + 0.15(30000 - x) = 4350
Solving for x.
0.13x + 4500 - 0.15x = 4350
-0.02x = -150
x = 7500
And,
y = 30000 - x
y = 30000 - 7500
y = 22500
Thus,
The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ9
The complete question.
A businesswoman wants to invest $30,000 in different funds that produce annual returns of 13% and 15% respectively. How much must she invest in each fund to earn a return of $4,350 after one year?
Julieta has 58 m of fencing to build a four-sided fence around a rectangular plot of land. The area of the land is 204 square meters. Solve for the dimensions (length and width) of the field.
The dimensions of the field are length is 12 m and width is 17m or length is 17m and width is 17m.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that Julieta has 58 m of fencing to build a four-sided fence around a rectangular plot of land.
2(L+W)=58
2L+2W=58
Now area of the land is 204 square meters.
LW=204
L=204/W
Now plug in this L in above equation.
2(204/W)+2W=58
408/W+2W=58
2W²+408-58W=0
2(W²-29W+204)=0
(W-17)(W-12)=0
W=17
Now plug in W as 17 in L
L=204/17=12
Hence, the dimensions of the field are length is 12 m and width is 17m or length is 17m and width is 17m.
To learn more on Rectangle click:
https://brainly.com/question/20693059
#SPJ9
To learn more on Equation:
https://brainly.com/question/10413253
A new helium tank holds 14.9 ft3 of helium. 0.5 ft3 of helium is needed to fill a foil balloon. This function can be used to find the amount of helium left in the tank (h) after each balloon (b) is filled
The table is
Balloon Helium in the tank
1 14.4
2 13.9
3 13.4
4 12.9
What is a function?
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.
Given function is h = 14.9 - 0.5b .....(i)
Where b is the number of ballon.
Putting b = 1 in equation (i)
h(1) = 14.9 - 0.5×1
h(1) = 14.4
Putting b =2 in equation (i)
h(2) = 14.9 - 0.5×2
h(2) = 13.9
Putting b = 3 in equation (i)
h(3) = 14.9 - 0.5×3
h(3) = 13.4
Putting b = 4 in equation (i)
h(4) = 14.9 - 0.5×4
h(4) = 12.9
To learn more about initial value of a function, click on the below link:
https://brainly.com/question/19560940
#SPJ1
30 Point for some help!!
Answer:
The second option!
Step-by-step explanation:
Sorry if i was wrong... :(
An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 24 degrees. The shadow is determined to be 60 feet long. How tall is the building?
Answer:
36
Step-by-step explanation:
Carmen is a contestant on the kids' game show, Spend or Switch! When she makes it up on
stage, host Guy Granger takes out a stack of one hundred-dollar bills. He divides the bills
evenly among all 5 contestants on stage. Each contestant receives 4 one hundred-dollar bills.
Which equation can you use to find the number of bills b in Guy Granger's stack?
b-5=4
5b= 4
bills
5
= 4
b + 5 = 4
olve this equation for b to find the number of bills in Guy Granger's stack.
The equation we need to use to find the number of bills in Guy Granger's stack is 5b = 4, where b is the number of bills.
What is an Equation ?
An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
This equation represents the fact that each of the 5 contestants received 4 one hundred-dollar bills, so the total number of bills is
= 4 x 5
= 20
To solve for b, we need to divide both sides of the equation by 5:
5b / 5 = 4 / 5
b = 4 / 5
So, the number of bills in Guy Granger's stack is 4 / 5 * 100 = 80.
To know more about Equation check:
https://brainly.com/question/1529522
#SPJ9
Find the 8th term of the geometric sequence 10, -20, 40, ...
Answer:
-1280
Step-by-step explanation:
10×(-2)= -20
-20×(-2)= 40
4th term: 40×(-2)= -80
5th term: -80×(-2)= 160
6th term: 160×(-2)= -320
7th term: -320×(-2)= 640
8th term: 640×(-2)= -1280
how to count to 20 in spanish?
Counting to 20 in Spanish is a relatively straightforward process. The first step is to learn the numbers from 1 to 10, which are:
1 - uno
2 - dos
3 - tres
4 - cuatro
5 - cinco
6 - seis
7 - siete
8 - ocho
9 - nueve
10 - diez
Once you have these numbers memorized, it's easy to continue counting up to 20. Simply add the numbers from 11 to 19 to the base number, diez.
11 - once (diez + uno)
12 - doce (diez + dos)
13 - trece (diez + tres)
14 - catorce (diez + cuatro)
15 - quince (diez + cinco)
16 - dieciséis (diez + seis)
17 - diecisiete (diez + siete)
18 - dieciocho (diez + ocho)
19 - diecinueve (diez + nueve)
20 - veinte
As you can see, the only exception is the number 15, which has its own unique word, "quince." Other than that, all of the numbers from 11 to 19 follow the same pattern of adding "diez" to the appropriate digit. And once you reach 20, you're done! It's important to note that Spanish has gendered nouns, so when counting objects, you will need to use the appropriate article and adjective to match the gender of the noun. For example, if you are counting "dogs," you would say "uno perro," but if you were counting "cats," you would say "una gata."
To know more about straightforward process. click here:
brainly.com/question/27992756
#SPJ4
Answer:
1 uno
2 dos
3 tres
4 cuatro
5 cinco
6 seis
7 siete
8 ocho
9 nueve
10 diez
11 once
12 doce
13 trece
14 catorce
15 quince
16 dieciséis
17 diecisiete
18 dieciocho
19 diecinueve
20 veinte
Step-by-step explanation:
Give three solutions to the equation
y
=
1
2
x
+
1
. Give your solutions as ordered pairs, using reduced fractions or integers for coordinates.
The three solutions to the equation are (0, 1), (1, 12) and (2, 25)
How to determine the three solutions to the equationFrom the question, we have the following parameters that can be used in our computation:
y = 12x + 1
Next, we set x to 0, 1 and 2
Substitute the known values in the above equation, so, we have the following representation
y = 12 * 0 + 1
y = 1
y = 12 * 1 + 1
y = 13
y = 12 * 2 + 1
y = 25
As an ordered pair, we have
(0, 1), (1, 12) and (2, 25)
Read more about equation at
https://brainly.com/question/2030026
#SPJ1
In parallelogram QRST,m/R=63.7.what is m/S?
The measure of m∠S is 116.3.
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
Parallelogram QRST.
m∠R = 63.7
Now,
We see that,
m∠R and m∠T are opposite angles.
So,
m∠T = 63.7 _____(1)
And,
m∠Q and m∠S are opposite angles.
So,
m∠Q = m∠S ______(2)
Now,
The sum of the four angles is 360.
So,
m∠R + m∠T + m∠Q + m∠S = 360
From (1) and (2),
63.7 + 63.7 + 2m∠S = 360
127.4 + 2m∠S = 360
2m∠S = 360 - 127.4
2m∠S = 232.6
m∠S = 232.6/2
m∠S = 116.3
Thus,
The measure of m∠S is 116.3.
Learn more about parallelograms here:
https://brainly.com/question/1563728
#SPJ1
4x(3+5)-10=4x3+5-10=??
Answer:
x = 17/32
Step-by-step explanation:
Firstly, you want to simplify by combining like terms:
4x(3+5)—10 = 4 · 3 + 5 – 10
32x—10 = 7
Add ten to both sides:
32x - 10 = 7
+10 +10
32x = 17
Divide both sides by 32:
32x = 17
/32 /32
32 divided by 32x makes x
so we get x = 17/32
(we dont divide 17/32 since we would get an irrational number (0.53125))
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?
1 mile = 5,280 feet
45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour
Answer:
48 miles per hour
Step-by-step explanation:
To convert Aneesha's speed from miles per hour to feet per second, we can use the formula:
speed in feet per second = speed in miles per hour * feet per mile / seconds per hour
So, Aneesha's speed in feet per second is:
50 miles per hour * 5,280 feet per mile / 3600 seconds per hour = 792 feet per second
Morris is traveling 3 feet per second less than Aneesha, so his speed in feet per second is:
792 feet per second - 3 feet per second = 789 feet per second
To convert Morris's speed back to miles per hour, we can use the formula:
speed in miles per hour = speed in feet per second * seconds per hour / feet per mile
So, Morris's speed in miles per hour is:
789 feet per second * 3600 seconds per hour / 5,280 feet per mile = approximately 48 miles per hour.
secx - 2 = 0
Please solve the problem and show the work.
Answer:
x = 60 degrees (if x < 90 degrees).
Step-by-step explanation:
secx - 2 = 0
secx = 2
Now sec x = 1/cos x
So,
1/cosx = 2
cos x = 1/2
x = 60 degrees.
In linear regression, one variable, called a __________ variable, is related to one or more ____________ variables by a linear equation.
A. dependent; response
B. independent; dependent
C. response; dependent
D. dependent; independent
In linear regression, one variable, called a dependent variable, is related to one or more independent variables by a linear equation.
What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).
In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
That is, the input of the function is the independent variable and the output is the dependent variable.
In the case of multiple inputs, all the inputs are independent variables.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Find the measure of missing angle
How long does it take for $250 to grow to $600 at 4% annual percentage rate compounded continuously? Round to
the nearest year.
Answer:
22yrs
Step-by-step explanation:
So, the money will grow to $600 in about$$ 22 years.