Answer:
$864.94
Step-by-step explanation:
So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x where r is the growth rate (interest rate)
So the equation can be written as
[tex]m= P(1.04)^t[/tex] where m represents the amount of money over time, P represents the principle amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount
[tex]I = P(1.04)^t-P[/tex] where I represents the interest paid.
plug the values into the equation
[tex]108 = P(1.04)^3-P\\108 = P(1.124864) - P\\108 = 0.124864P\\\\864.941 = P[/tex]
Help Me. I need to get back on track on common factors and factors.
Answer:
A) 1, 2, 4
Hope this helps you!
Answer:
A. 1, 2, 4
Step-by-step explanation:
32= 1*32, 2*16, 4*8
36* 1*36, 2*18, 3*12, 4*9, 6*6
Common factors: 1, 2, 4
So the Answer is A.
Two candles are light at the same time one burns for 6 hours and the other one lasts 2 hours. The first candles flame is 3 times longer than the other ones. How long do the both candles burn for? (please write with the way you found the answer I will give brainliest.)
At 150 minutes the length of the first candle is 3 times that of the other.
The complete question is
There are two candles of same length and same size. Both of them burn at uniform rate. The first one burns in 5 hours and the second one burns in 2 hours. Both the candles are lit together. After how many minutes the length of the first candle is 3 times that of the other?
What is an Equation ?When two algebraic expression are equated using an equal sign an equation is formed.
First candle burns for 5 hours
Second candle burns for 2 hours
Let the length of candle be l.
After t time (in minutes), length of first candle =l−(lt/300)
Length of second candle =l− (lt/120)
From the data given
l - (lt/120) = 3 * (l−(lt/300))
On simplifying
4t = 600
t = 150 minutes
Therefore after 150 minutes the length of the first candle is 3 times that of the other.
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Is -7=7 an infinite solution or no solutions for a system of equations?
Answer:
no solutions
Step-by-step explanation:
-7 does not equal 7, so there are no solutions.
Infinite solutions would be if it was two equal values, for example, 7 = 7.
Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. a solid right pyramid with a square base has a base edge measuring 6 inches. which is the slant height of the pyramid if helen uses all the clay?
The slant height of the pyramid will be 5 inches.
Given Information and Formula Used
Volume of the clay = 48 cubic inches
Edge of the square base of the pyramid, a= 6 inches
Volume of the pyramid = (1/3) × Base Area × Height
Pythagoras Theorem, l² = x² + h²
Here, l is the hypotenuse, x is the base and [tex]h[/tex] is the height in a right angle triangle.
Calculating the Height, h of the Pyramid
Volume of the pyramid = Volume of the clay
Volume of the pyramid, V= 48 cubic inches
Base Area of the pyramid, B = a²
⇒ B = 6² square inches
⇒ B = 36 square inches
∵ V = (1/3)×B×H
[tex]\frac{1}{3}*36*h = 48[/tex]
∴ [tex]h = \frac{48*3}{36}[/tex]
⇒ h = 4 inches
Calculating the Slant Height, l of the Pyramid
Applying Pythagoras Theorem to determine the slant height,
l² = x² + h²
Here, we have x=a/2
[tex]l^{2} = \frac{a^{2} }{4} + b^{2}[/tex]
[tex]l^{2} = \frac{6^{2} }{4} + 4^{2}[/tex]
[tex]l = \sqrt{9+16}[/tex]
[tex]l=\sqrt{25}[/tex]
l =5 inches
Thus, the slant height of the solid right pyramid with a square base made by Helen is 5 inches.
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a city's monthly precipitation amounts, in inches, for the last two years are recorded in the table. which histogram corresponds to the table?
Based on the given histograms, and the table on the city's monthly precipitation amounts, the histogram that corresponds to the table is Histogram 1.
Which histogram is the appropriate fit?The number of months with 0 - 1.992 inches is 8 months which means that the first bar on the histogram of between 0 to 2 inches should reach the 8 month mark.
6 months had 1.992 - 3.994 inches so the next bar should stop at the 6th month mark. The next bar should stop at the 4 month mark.
The one after that should stop at the 5 month mark. The last bar would stop at the 1 month mark.
The only histogram that has this is histogram 1 which is not shown clearly but it likely the only one with these qualities as the others don't have it.
Rest of the question:
Amount (inches) 0 - 1.992 - 3.99 4 -5.996 - 7.998 - 9.99
Number of Months 8 6 4 5 1
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hich of the following descriptions matches the tree diagram below?
Answer:
B
Step-by-step explanation:
There is 2 options, win and lose, no tie so 3 and 4 get cancelled. there are only 2 roots so 1 gets cancelled leaving 2 (B)
Barry’s Burger Barn opened 25 franchises in its first year of operation. The second year, they opened 30 additional franchises. They opened 35 more in the third year and 40 more in the fourth year. If this pattern holds for all future years, perform the following: a. Determine how many franchises Barry’s will open each year in year 5, year 14, and year 26. Explain how you did this. b. Determine how many total franchises Barry’s will have in operation in year 10, year 22, and in year 50. Explain how you did this. c. How did you determine your answers? (Relate the relevant information in the story problem above to your calculations.)
The number of franchises that Barry will open each year in year 5, year 14, and year 26 will be 45, 90, and 150.
How to compute the value?a = 25
d = 5
The fifth year will be:
= a + (n - 1)d
= 25 + (5 - 1)5
= 25 + (4 × 5)
= 45
The 14th year will be:
= a + 13d
= 25 + 13(5)
= 90
The 26th will be:
= a + 25d
= 25 + 25(5)
= 150
The total franchises Barry’s will have in operation in year 10, year 22, and in year 50 will be:
Year 10 = n/2[2a + (n - 1)d]
= 10/2[5(25) + 45]
= 475
Year 22 = 25[50 + 245]
= 1705
Year 50 = 25(50 + 245)
= 7375
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Which of the following is needed to construct a hexagon?
OA. Six obtuse triangles
OB. Six isosceles triangles
OC. Six right triangles
OD. Six equilateral triangles
The answer choice which represents the what is needed to construct a hexagon is Choice B; Six isosceles triangles.
What is needed to construct a hexagon?
By definition, an hexagon is a closed figure with six equal sides and six congruent interior angles.
On this note, upon assembly of six isosceles triangle s in which cases, the excluded side of the isosceles triangles form the sides of the hexagon and the congruent sides represents lines joining each vertex to the center of the hexagon, an hexagon is formed.
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Answer:
The correct answer is six equilateral triangles.
Step-by-step explanation:
The angle at the center of the hexagon is 360°, which is being divided into 6 equal parts. The value of each angle at the center is equal to 60°. All three angles of the 6 triangles formed in the given hexagon are equal to 60°. This proves that there are 6 equilateral triangles.
Seven times the twice of a number and 6 equals 4
Answer:
7(2a+6) = 4
and the answer is:
19/7
Step-by-step explanation:
7(2a+6) = 4
7*2a + 7*6 = 4
14a + 42 = 4
14a = 4 - 42
14a = -38
a = -38/14
a = -19/7
4. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays
$7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125?
Graph a system of linear inequalities that represents this situation. Using the graph, what are two
possible solutions to the system of inequalities?
Two possible solutions are: (4.5, 8.5) and (8, 6.3)
How to graph the inequality?Let x represents hours dog walking and y represents hours washing cars.
So, we have:
Earnings = Rate of dog walk * x + Rate of car wash * y
This gives
Earnings = 7x + 11y
He wants to earn at least $125.
This means that:
7x + 11y ≥ 125
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)
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Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. chris is playing a card game with his friends. the game uses only the four aces from a standard deck of cards. for each move, a player draws one card, replaces it, and then draws the second card. the probability that a player draws two cards of the same color is . the probability that a red ace is drawn first and then a black ace is
The probability that a red ace is drawn first and then a black ace is mathematically given as
x=1/4
What is the probability that a red ace is drawn first and then a black ace?Where
Sample mean=(x,y)\, x, y \in \{h,d,c,s\}
If we want a player to draw two cards of the same color from their deck, the following combinations of cards are appropriate choices:
[tex](h,h),\ (h,d),\ (d,h),\ (d,d),\ (c,c),\ (c,s),\ (s,c),\ (s,s)[/tex]
Generally, 8 possible pairings above 16. This indicates that the likelihood of a player drawing two cards of the same color is 8/16, which is equivalent to a probability of half.
In conclusion, In a similar vein, the following pairs of cards illustrate the likelihood of obtaining a black ace after having drawn a red ace in the previous round:
[tex](h,c),\ (h,s),\ (d,c),\ (d,s)[/tex]
Giving
x=4/16
x=1/4
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Answer:
1/4
Step-by-step explanation:
100 points, PLEASE HELP MEEE
Answer:
b = 3a
Step-by-step explanation:
a = < - 1, 3 >
b = < - 3, 9 >
Thus
b = 3a
Answer:
b = 3a
Step-by-step explanation:
There are x boys in a class. If the
number of girls are 3x + 1, how many
boys and girls are in the class
altogether.
Answer:
4x+1
Step-by-step explanation:
3x+x+1=4x+1
most everyday purchases at the store are labeled with the piece of the item before sales tax. Which expression could be used to find the amount of tax
Amount of Tax = (Original Cost)(Tax %) , Option C is the right answer.
The complete question is
Most everyday purchases at the store are labeled with the price of the item before sales tax. Which expression could be used to find the amount of tax? Amount of Tax = Original Price + Total Cost Amount of Tax = (Total Cost)(Original Price) Amount of Tax = (Original Cost)(Tax %) Amount of Tax = (Total Cost)(Tax %)
What is Tax ?Tax is the % of the amount taken by the government on the sales or income of a person , There are many kinds of taxes imposed on various sectors.
The amount of tax is taken on the cost of the product ans thus can be represented by
Amount of Tax = (Original Cost)(Tax %) , Option C is the right answer.
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need help asap! Fill in the blank by entering just a number…
Answer:
x = 6
Step-by-step explanation:
CT is a median, which means it divided AB into two equal parts so we can write the following equation:
7x + 9 = 5x + 21 transfer like terms to the same side of the equation
7x - 5x = 21 - 9 do the extraction
2x = 12 divide both sides by 2
x = 6
can someone confirm why it's not? im *pretty* sure it's d?
Answer:
yes it is I'm sure of it ok.
What value of x is in the solution set of 3(x – 4) ≥ 5x 2? –10–5510
3(x-4) ≥ 5x +2
3*x - 3*4 ≥ 5x +2
3x - 12≥ 5x - 2
-12 + 2 ≥ 5x- 3x
-10 ≥ 2x
2x ≤ -10
x ≤ -5
2. Which of the following is true for the relation f(x) = x² + 8
only the equation is the function Only the in inverse is a function Neither the equation nor it’s inverse is a function Both the equation and it’s inverse are function
Answer:
Only the equation is the function
Solve the following system of equations. What is one x-value of a solution? f(x)=x^(2)+7x-24 g(x)=-3x-40
One x- value of the solution is : -2 or -8
What is an equation?An Equation is an algebraic statement that shows that two quantities are equal.
Analysis:
for one x-value of a solution, f(x) = g(x)
[tex]x^{2}[/tex] + 7x -24 = -3x - 40
[tex]x^{2}[/tex] +7x +3x -24 +40 = 0
[tex]x^{2}[/tex] + 10x +16 = 0
[tex]x^{2}[/tex] +8x +2x +16 = 0
x(x+8) +2(x+8) = 0
(x+2)(x+8) = 0
x = -2 or -8
In conclusion, the values of x are -2 or -8
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8+6=?
what is the answer to the question
Answer: 14
Step-by-step explanation:
because 8 +4 is 14
Simplify cubed 5 -10/27
The correct answer for the given expression is 99.22.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The expression will be solved as:-
E = [tex]({5 -\dfrac{10}{27}})^3[/tex]
E = [tex](\dfrac{135-10}{27})^3[/tex]
E =[tex]\dfrac{125}{27}^3[/tex]
E = 99.22
Therefore the correct answer for the given expression is 99.22.
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find the surface area of the prism
The area of a 2D form is the amount of space within its perimeter. The surface area of the prism is 232 in².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area of the prism is,
Surface area = 2 [(2 × 8)+(8 × 10)+(2 × 10)]
= 232 in²
Hence, the surface area of the prism is 232 in².
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Given the functions below, find g(5) + h(2).
g(x) = 2x - 5
h(x) = 4x + 5
Answer:
18
Step-by-step explanation:
substitute x = 5 into g(x) and x = 2 into h(x)
g(5) + h(2)
= 2(5) - 5 + 4(2) + 5
= 10 - 5 + 8 + 5
= 5 + 13
= 18
Convert 15 degree Celsius into Fahrenheit
Answer:
59 ° F
Step-by-step explanation:
F = 9/5 C + 32
= 9/5 (15) + 32 = 59 ° F
. put these numbers in order, from least to greatest. if you get stuck, consider using a number line. 3.5 -1 4.8 -1.5 -0.5 -4.2 0.5 -2.1 -3.5 2. write two numbers that are opposites and each more than 6 units away from 0.
Think of 5 positive integers that have a mode of 3, a median of 5, a mean of 7 and a range of 12.
For the mode to be 6, there has to be at least two 6s.
For the median to be 6, with two 6s, there must be at least one number above 6.
For the mean to be 6, the sum is 30, so the three remaining numbers must total 18.
Which expression is equivalent to
(3²)
Answer:
3 + 6 = 92 + 1 + 4 + 2 = 918 : 2 = 93 + 3 + 3 = 9Step-by-step explanation:
Which expression is equivalent to
(3²)
3² = 9
3 + 6 = 92 + 1 + 4 + 2 = 918 : 2 = 93 + 3 + 3 = 9Give the values of a, b, and c needed to write the equation's general form.
(x - 3)2 = 0
1. a = 1; b = -3; c = 0
2. a = 1; b = -6; c = -3
3. a = 1; b = -6; c = 9
The values of a, b, and c are needed to write the equation's general form will be a = 1; b = -3; c = 0.Option A is corect.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given equation;
x²-3x=0
The quadratic equation in the form is;
ax² + bx + c = 0
On putting the values of the options one by one we will get the answer;
1 x²+(-3)x+0
x²-3x=0
Hence, option A is corect.
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10
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4
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10 8 64-2
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4
6
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618
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ctrich ar Of EICS
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A circle centered at the origin contains the point
(0, -9). Does (8, √17) also lie on the circle? Explain.
O No, the distance from the center to the point
(8, √17) is not the same as the radius.
O No, the radius of 10 units is different from the
distance from the center to the point
(8, √17).
O Yes, the distance from the origin to the point
(8, √17) is 9 units.
O Yes, the distance from the point (0, -9) to the point
(8, √17) is 9 units.
Approximate value of √17
~4+So the point is (8,4)
As we can see in graph the point is contained by the circle
Hence the distance
√(0-8)²+(9-4)²√8²+5²√89Approximately 9 units
Option D
Answer:
Yes, the distance from the origin to the point (8, √17) is 9 units
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where:
(a, b) is the centerr is the radiusGiven:
center = (0, 0)r = 9Substitute the given values into the formula to create the equation of the circle:
[tex]\implies (x-0)^2+(y-0)^2=9^2[/tex]
[tex]\implies x^2+y^2=81[/tex]
To find if point [tex]\sf (8, \sqrt{17})[/tex] lies on the circle, substitute x = 8 into the found equation and solve for y:
[tex]\implies 8^2+y^2=81[/tex]
[tex]\implies 64+y^2=81[/tex]
[tex]\implies y^2=81-64[/tex]
[tex]\implies y^2=17[/tex]
[tex]\implies y=\sqrt{17}[/tex]
As y = √17 when x = 8, this proves that point (8, √17) lies on the circle.
The distance from the origin to any point on the circle is the radius.
Therefore, as the radius is 9 units, the distance from the origin to the point (8, √17) is 9 units.
What is the greatest common factor of 10 and 3? i dont get this i have a math touter that wont really help and i still dont understand. by the way i was not using brainly touter.
if u have the time to help please answer
Answer:
1
Step-by-step explanation:
listing the factors of both numbers
factors of 10 are 1, 2, ,5, 10
factors of 3 are 1, 3
the only common factor to both is 1
the greatest common factor is 1
