Answer:
$1020.00
Step-by-step explanation:
15% means 15/100 divide by 100 and you get .15
.15 x 1200 gives us the rebate. The rebate is 180. We subtract that from 1200. 1200 -180 = 1020
Another way to think about this, is that we are taking 15% off we are leaving on 85%
.85 x 1200 = 1020
if the nth term of a number sequence is n squared-3, find the first 3 terms and the 10th term
The first three terms of the number sequence are 1, 1/8, and 1/27. And the tenth term of this sequence is 1/1000.
We have been given the nth value of a number sequence that is,
aₙ = n⁻³
We can find the terms by replacing n with required values.
Thus the first term , a₁ = (1)⁻³
= 1
Second term, a₂ = (2)⁻³
= 1/8
Third term, a₃ = (3)⁻³
= 1/27
Tenth term, a₁₀ = (10)⁻³
= 1/1000
Hence the first three terms of the number sequence are 1, 1/8, and 1/27. And the tenth term is 1/1000.
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What is the answer for this question
The values for the net change and average change is given as-
7. Net change = 2 , Average change = 2/3.
8. Net change = -2, Average change = -1/2.
9. Net change = -4, Average change = 4/5.
10. Net change = 4, Average change = 2/3.
What is defined as the net change and the average change?Given two points on the graph of f(x), (a,f(a)) and (b,f(b)), the net change would be the contrast between the different f(x) values.
So, net change is estimated by f(b)−f(a).The ratio of the net change to a change between the 2 input values is equal to the average net change and average rate of change. Taking the same two points, the following formula can be used to calculate the average rate of change: [f(b)−f(a)]/(b - a)In other words, the average rate of change is the slope of the line connecting any two points.Part 7:
The points on x axis are;
a = 1 and b = 4
f(b) = f(4) = 5
f(a) = f(1) = 3
Thus, net change is; f(b)−f(a)
= f(4) - f(1)
= 5 - 3
net change = 2
The average change;
= [f(b)−f(a)]/(b - a)
= [f(4) - f(1)]/(4 - 1)
net change = 2/3.
Part 8:
The points on x axis are;
a = 1 and b = 5
f(b) = f(5) = 2
f(a) = f(1) = 4
Thus, net change is; f(b)−f(a)
= f(5) - f(1)
= 2 - 4
net change = -2
The average change;
= [f(b)−f(a)]/(b - a)
= [f(5) - f(1)]/(5 - 1)
net change = -2/4 = -1/2
Part 9:
The points on x axis are;
a = 0 and b = 5
f(b) = f(5) = 2
f(a) = f(0) = 6
Thus, net change is; f(b)−f(a)
= f(5) - f(0)
= 2 - 6
net change = -4
The average change;
= [f(b)−f(a)]/(b - a)
= [f(5) - f(0)]/(0 - 5)
net change = -4/-5 = 4/5
Part 10:
The points on x axis are;
a = -1 and b = 5
f(b) = f(5) = 4
f(a) = f(-1) = 0
Thus, net change is; f(b)−f(a)
= f(5) - f(-1)
= 4 - 0
net change = 4
The average change;
= [f(b)−f(a)]/(b - a)
= [f(5) - f(-1)]/(5 + 1)
net change = 4/6 = 2/3
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I need help fast please and thank you
Answer:
its the second option
Step-by-step explanation:
u can search for the formula for a right trapezoid and then solve it
If the odds against debroah's winning first prize are 3 to 5, what is the probability that she will win 1st prize?
Answer:
See below
Step-by-step explanation:
Odds AGAINST are 3 to5 then odds FOR are 2 to 5
2/5 = .4 = 40% chance of winning
Cindy and Richard leave their dorm in Charleston
at the same time. Cindy rides her bicycle north at a
speed of 18 miles per hour. Richard rides his bicycle
south at a speed of 14 miles per hour. How long will it
take them to be 96 miles apart?
Answer:
Hello,
Step-by-step explanation:
Let's suppose
t the time of the travel
d1 the distance rided by Cindy in miles
d2 the distance rided by Richard in miles
d1+d2=96
18*t+14*t=96
32*t=96
t=3 (hours)
Solve the system of inequalities by graphing.
3x + 4y ≥ 16
-4x+6y < 30
x= -0.706, y= 4.529
The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.
3x+4y z 16
-4x+6y< 30
Solving the two equations we get,
x=-0.706, Y= 4.529
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find the midpoint of the line segment with the given points.
Answer:
[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]
Step-by-step explanation:
We will use the midpoint formula to solve.
[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]
[tex]\displaystyle (\frac{0+-5 }{2}, \frac{3+5}{2} )[/tex]
[tex]\displaystyle (\frac{-5 }{2}, \frac{8}{2} )[/tex]
[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]
What are the missing numbers in the following pattern ?
1, 9 , 25, 49 , -------- , 121 , 169 , ------- , 289 , ----------.
Answer:
81, 225, 361
Step-by-step explanation:
Use substitution to solve the system.
y = 2x+14
3x+2y = -7
Answer: x=-5, y=4 (-5,4)
Step-by-step explanation:
To pay for a home improvement project that totals $9,000, Genesis is choosing between taking out a simple interest bank loan at 9% for 3 years or paying with a credit card that compounds monthly at an annual rate of 18% for 7 years. Which plan would give Genesis the lowest monthly payment? The monthly credit card payment would be $295, which is lower than the monthly payment on the bank loan. The monthly payment on a bank loan would be $272.50, which is lower than the monthly credit card payment. The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment. The monthly credit card payment would be $374.21, which is lower than the monthly payment on the bank loan.
A plan which would give Genesis the lowest monthly payment is: C. The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
How to determine the plan with the lowest monthly payment?In order to determine the plan which would give Genesis the lowest monthly payment, we would calculate the simple interest earned over each of the time period.
Mathematically, the simple interest earned can be calculated by using this formula:
A = P(1 + rt)
Where:
A represents the future value.P represents the principal or original value.r represents the interest rate.t represents the time.Substituting the given parameters into the formula, we have;
A = 9000[1 + (0.09 × 3)]
A = 9000[1 + 0.27]
A = 9000 × 1.27
Future value, A = $11,430.
Next, we would calculate the monthly payment over a period of 36 months as follows:
Monthly payment = Future value/Time
Monthly payment = 11,430/36
Monthly payment = $317.50.
Similarly, we would calculate the compound interest earned on the credit card by using this formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
A = 9000[1 + (0.18/12)]⁽¹² ˣ ⁷⁾
A = 9000[1 + 0.015]⁸⁴
A = 9000 × 1.015⁸⁴
A = 9000 × 3.49258954
Future value, A = $31,433.31.
Next, we would calculate the monthly payment over a period of 84 months as follows:
Monthly payment = Future value/Time
Monthly payment = 31,433.31/84
Monthly payment = $372.21.
In this context, we can reasonably infer and logically deduce that the plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan.
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Answer:
C
Step-by-step explanation:
got 100% on exam
A cylindrical can has a radius of 4 centimeters. Write the volume V of the can as a function of the height h.
The volume of cylinder V as a function of the height h is: V = 50.24h
In this question, we have been given the radius of the cylinder which is 4 centimeters.
We need to write the volume V of the can as a function of the height h.
We know that, the formula of volume of the cylinder of radius r and height h is, V = π × r² × h
In this question, r = 4 centimeters
Substitute r = 4 in above formula of volume of cylinder.
⇒ V = π × r² × h
⇒ V = π × 4² × h
⇒ V = 3.14 × 16 × h
⇒ V = 50.24 × h
⇒ V = 50.24h
Therefore, the volume of cylinder V as a function of the height h is:
V = 50.24h
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Help please
15 points
need by the end of today
Answer:
16. G
17. C
Step-by-step explanation:
Correlational research results depicting a correlation coefficient of 0. 5 means that the associated variables demonstrate a __________ relationship.
Results of correlational analysis showing a correlation coefficient of 0.5 indicate that the related variables show a moderately positive relationship.
The correct option is B.
Briefing:The strength of the relationship can be quantified by researchers using this coefficient, which is frequently used to determine the relationship between two or more objects.
The coefficient value will range from -1 to +1, where a value of 0.5 indicates that the variables show a moderately positive relationship.
What exactly does it mean to have a moderate correlation?Variables that are thought to be highly correlated have correlation coefficients with magnitudes between 0.7 and 0.9. Variables that are moderately correlated are indicated by correlation coefficients with magnitudes between 0.5 and 0.7.
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I understand that the question you are looking for is:
Correlational research results depicting a correlation coefficient of 0.5 means that the associated variables demonstrate a __________ relationship.
a. weak negative
b. moderately positive
c. weak positive
d. strong positive
Solve the simultaneous equation
-4x+3y=1
6x-y=2
Step-by-step explanation:
multiply 6x - y = 2 by 3 and subtract the first equation from the second
18x-3y=6 - (-4x+3y=2
3y is cancelled and after the others are subtracted the equation becomes
22x = 4
x = 2/11
Answer:
The value of x = 1/2
The value of y = 1
Step-by-step explanation:
Let's change the equation,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
A rate is a type of ratio. It uses quantities that are not measured the same way,
like miles and hours. In a unit rate, the number in the denominator is 1. For
example, a speed of 60 miles per hour is written as number of miles traveled
thr
Express 55 miles per hour as a unit rate.
ог
55
55
60 mi
1 hr??
The 55 miles can be written as 24.4m/s.
A Rate is a special kind of ratio that is used to show the comparison of two different units of measurments. a ratio compares the same units
A rate is a ratio because it compares two numbers yet a ratio cannot be a rate because it only compares the same unit.
one common type of rate is per unit time
1 mile has 1600 meters.
distance= 55×1600= 88000m
Time= 1 hour= 3600 second.
speed is euqal to distance upon time.
88000÷ 3600 = 24.4m/s
so the 55 miles can be written as 24.4m/s.
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meaning of primary school
Answer:
primary school is a primary school
Answer:the meaning of primary school is elementary school basically grades Kinder-5th grade
Step-by-step explanation:
the ratio of wins to losses to ties for yan's soccer team at was 3:2:1. if the team played 18 games, how many games did they win? Show your work.
Answer:
9
Step-by-step explanation:
Let the ratio's unit be x. We have:
3x:2x:x. We add these up to get 6x. 6x=18, so x=3. 3*3 (since the wins is 3 in the ratio 3:2:1) is 9, so there's your answer! We can double check because 3*2 = 6 losses, and 3*1 = 3 draws, and 9:6:3=3:2:1, and 9+6+3=18!
Geometry -Triangle
Screenie attached
Answer:102
Step-by-step explanation:
The interior angles of a triangle have to measure 180 degrees, which is an isosceles triangle, and 39+39=78.
180-78=102.Therefore the answer is 102
Find the equation of the line shown.
Answer:
y = -2x + 9
Step-by-step explanation:
The standard form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
The line intersects the y-axis at 9, thus b = 9.
The slope formula is rise/run. The line falls 2 and runs 1, thus m = -2/1, or -2.
y = -2x + 9
Please help :(
Use PEMDAS to find the surface area.
81 + 72(4) =
157 km²
369 km²
612 km²
What is the difference quotient of the function, g (x) = startroot x endroot, x greater-than-or-equal-to 0?
The difference quotient of the function g(x) = √x is [√(x+h) -√x]/h
Difference quotient of the function:
Difference quotient of the function means a measure of the average rate of change of the function over an interval.
The difference quotient formula of a function y = f(x) is,
[ f(x + h) - f(x) ] / h
where
f (x + h) is obtained by replacing x by x + h in f(x)
f(x) is the actual function
Given,
Function g(x) = √x where x≥0.
Here we need to find the difference of the quotient of the function.
For that,
First we have to calculate the value of g(x + h),
By simply replacing the value of x as x + h,
So,
g(x + h) = √(x+h)
Now apply the values on the formula in order to solve it,
=> [√(x+h) -√x]/h
We can't simplify it further.
So, the difference quotient of function is,
=> [√(x+h) -√x]/h
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Answer: D
Step-by-step explanation:
took one for the team
Any tips for doing complicated order of operation problems. Algebra 2
I need Help please :(
Step-by-step explanation: See attached step by step
13. Which function includes the data set below?
{(2, -2), (6, 10), (13, 31)) (Lesson 2-1)
A. f(x)=2x-3
B. f(x) = -2x + 2
C. f(x) = 3x8
D. f(x) = 4x 10.
-
Answer:
C. 3x-8
Step-by-step explanation:
To solve this, we put the x values into the functions and calculate the y values.
A
y = (1/2)x - 3
test for (2, -2)
-2 = 1/2 × 2 - 3 = 1 - 3 = -2 correct
test for (6, 10)
10 = 1/2 × 6 - 3 = 3 - 3 = 0 wrong
so, A cannot be right.
B
y = -2x + 2
test for (2, -2)
-2 = -2×2 + 2 = -4 + 2 = -2 correct
test for (6, 10)
10 = -2×6 + 2 = -12 + 2 = -10 wrong
so, B cannot be right.
C
y = 3x - 8
test for (2, -2)
-2 = 3×2 - 8 = 6 - 8 = -2 correct
test for (6, 10)
10 = 3×6 - 8 = 18 - 8 = 10 correct
test for (13, 31)
31 = 3×13 - 8 = 39 - 8 = 31 correct
so, C is a right answer.
D
y = 4x - 10
test for (2, -2)
-2 = 4×2 - 10 = 8 - 10 = -2 correct
test for (6, 10)
10 = 4×6 - 10 = 24 - 10 = 14 wrong
so, D cannot be right.
I hope this helped! Have a good day! :D
I need some help please
Step-by-step explanation:
[tex] = \frac{ {2}^{4} }{ {2}^{7} } [/tex]
[tex] = {2}^{4 - 7} [/tex]
[tex] = {2}^{ - 3} [/tex]
[tex] = \frac{1}{ {2}^{3} } [/tex]
[tex] = \frac{1}{2 \times 2 \times 2} [/tex]
[tex] = \frac{1}{8} [/tex]
The answer is not 8, but 1/8.
what is the reference angle for 202 degrees
Answer: 22 degrees
Step-by-step explanation:
Since the angle 180° is in the third quadrant, subtract 180° from 202°.
HELP!!!! i need a mathematician!!!
Your friend eats 25 strawberries less than 5 times the
amount of strawberries you do. If you eat 10 strawberries,
find out how much your friend eats?
Answer:
25
Step-by-step explanation:
The required amount of strawberries eaten by the friend is given as 25 strawberries.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number of strawberries he eat be x,
According to the question,
Strawberries that his friend eat = 5x - 25
Put x = 10
Strawberries that his friend eat = 50 - 25 = 25
Thus, the required amount of strawberries eaten by the friend is given as 25 strawberries.
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Create a polynomial that has 4 term, a degree of 6, a leading coefficient of -1 and a
Constant term of -5.5
Answer: Theorems About Roots of Polynomial Equations
Step-by-step explanation:
Theorems About Roots of Polynomial Equations
In the given case we can conclude that the polynomial is [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5.[/tex]
To create a polynomial with 4 terms, a degree of 6, a leading coefficient of -1, and a constant term of -5.5, we can use the general form of a polynomial:
A "polynomial" is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers, combined using addition and multiplication. Polynomials are fundamental objects in algebra and are used to represent a wide range of mathematical relationships, including functions, curves, and various mathematical concepts.
P(x) = [tex]ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g[/tex]
Plugging in the given values, we have:
P(x) = [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5[/tex]
Remember that the degree of a polynomial is determined by the highest exponent of x.
In this case, the degree is 6.
The leading coefficient is the coefficient of the term with the highest degree, which is -1. The constant term is -5.5.
So, the polynomial is [tex]-x^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx - 5.5.[/tex]
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B. locate and plot (square root of)15 on a number line. find a better approximation using decimals.
The number line for √15 is shown in the figure and the value of √15 is approximately 3.87298.
Number line:
Number line used for visual representation of numbers on a straight line.
Given:
Here we need to locate and plot √15 on a number line.
Steps for the construction:
Step 1) Draw a line AB that is 15 in length, and then add 1 to C so that the distance from A to C is 16.
Step 2) From the midpoint of A C on the line, use your compass and make a half circle from A to C.
Step 3) Draw a vertical line up from B until it touches the red half circle you made in Step 2.
Step 4) From B on the number line, use your compass and make a quarter circle from D to E.
The square root of 15 is the distance from B to E. To make things clearer, we have also created the illustration below showing where B, E, and the square root of 15 are located on the number line, labeled with numbers instead of the half circle, quarter circle and vertical line.
Based on the steps the number line is looks like,
Therefore, The square root of 15 (√15) is approximately 3.87298.
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