Answer:
Line B - red line
Step-by-step explanation:
submit test
E-Loan, an online lending service, recently offered 48-month auto loans at 5.7% compounded monthly to applicants with good credit ratings. If you have a good credit rating and can
afford monthly payments of $337, how much can you borrow from E-Loan? What is the total interest you will pay for this loan?
You can borrow $. (Round to two decimal places.)
You will pay a total of sin interest. (Round to two decimal places.)
If you have a good credit rating and can afford monthly payments of $337. The amount borrowed is $14,433.95 and the interest is $1,742.05.
How to find the amount borrowed?a. Amount borrowed
Number of installments = 48 months
Rate of interest = 5.7% per annum/12 = 0.475% per month or per period
Affordable monthly payments = $337;
PV =PMT [1 - (1 +i)^-n]/i
PV= $337 [1- (1+0.00475)^-48] /0.00475
PV= $14,433.95
b. Interest = Total amount paid - Loan amount
Interest = ($337 × 48) - $14,433.95
Interest =$16,176 - $14,433.95
Interest = $1,742.05
Therefore the amount borrowed is $14,433.95 and the interest is $1,742.05.
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Determine whether the mapping diagram shown below represents a
function
27 points
Answer:
Not a Function
Step-by-step explanation:
Each y-value has 2 x-values. It is supposed to only have one. hope this helped you!! Give brainliest
Find the surface area of the pyramid. The side lengths of the base are equal.
The surface area of the pyramid is 116.4 sq. ft.
What is surface area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.
For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has.
The surface area of the pyramid is calculated by adding the area of all the faces of the pyramid.
The area of the triangle is given as:
A = 1/2 (b)(h)
For the face of the pyramid:
b = 12 and h = 9
Substituting the values we have:
A = 1/2 (12)(9)
A = 54 sq. ft
The pyramid consists of three faces thus,
A = 3(54) = 162 sq ft
For the base of the pyramid:
b = 12 and h = 10.4 ft
A = 1/2(12)(10.4)
A = (6)(10.4)
A = 62.4 sq ft
The surface area of the pyramid is:
SA = 54 + 62.4
SA = 116.4 sq. ft
Hence, the surface area of the pyramid is 116.4 sq. ft.
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PLS HELP ‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
Answer:
Therefore, the product of 2x+y and 5x-y+3 is 10x^2 + 13x - y^2 + 4xy + 6.
Step-by-step explanation:
Using FOIL (first, outer, inner, last) method, we can multiply the two expressions:
(2x+y)(5x-y+3) = 10x^2 - 2xy + 15x + 3y + 5xy - y^2 + 6x - 3y
Simplifying the terms by combining like terms and rearranging, we get:
10x^2 + 13x - y^2 + 4xy + 6
PLEASE HELP ME ON QUESTION ASAP!!
IF YOU HAVE A TOPIC LIST IN YOUR EXAMS AND IT SAYS AVERAGES AND THE RANGE ARE YOU GOING TO BE HAVING MEAN AND RANGE IN YOUR TEST OR MEAN, RANGE MODE, MIDPOINT BASICALLY ALL OF IT ? IF ANSWERS CORRECT ILL RATE YOU FIVE STARS, GIVE YOU A THANKS AND MAYBE EVEN BRAINLIEST (sorry for caps)
Answer:
Step-by-step explanation:
Typically yes you need to know
Mean
Median
Mode
and Range
Mean = average, add all numbers then divide by how many
Median = midpoint, middle number. Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers
Mode = numbers that occurs the most in the list of numbers
Range = This is the largest number minus the smallest number.
A tabletop in the trapezoled has an area of 8,526 square centimeters it’s linger base measures 127 centimeters and the shorter base is 105 centimeters what is the height
Therefore, the height of the trapezoid is 73.5 centimeters.
What is height?Height is a measurement of how tall someone or something is, usually expressed in units such as feet, inches, meters, or centimeters. It is a physical dimension that describes the distance between the top of an object or person and the ground or a reference point. Height is often used to describe the size of people, animals, buildings, and other objects, and is an important factor in fields such as architecture, engineering, and athletics.
To find the height of the trapezoid, we can use the formula:
Area = (base1 + base2) * height / 2
where base1 and base2 are the longer and shorter bases of the trapezoid, and height is the perpendicular distance between the bases.
We are given that the area of the trapezoid is 8,526 square centimeters, base1 is 127 centimeters, and base2 is 105 centimeters. Let's plug in these values and solve for the height:
8,526 = (127 + 105) * height / 2
8,526 = 232 * height / 2
8,526 = 116 * height
height = 8,526 / 116
height = 73.5
Therefore, the height of the trapezoid is 73.5 centimeters.
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find the value of a in the number 6a subtract 4 a+ 5a=210
The value of "a" will be 30 for the given Algebraic expression.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Given, a algebraic expression 6a -4a +5a = 210
Simplifying the equation in terms of a
6a -4a +5a = 210
adding or subtracting the terms with the same variables
7a = 210
divide by 7 on both sides
a = 30
Therefore, the value of "a" will be 30 for the given Algebraic expression.
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Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
Who is most affected by a discrepancy in dosage
When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.
What is the discrepancy in dosageInsufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.
It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.
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At the local Theatre of the Arts, tickets cost $4 for children and $5 for adults. In the opening Saturday night of a play, the theater made $540. The second day was a matinee and the prices were lower for children at $3 and the same price as Saturday for adults. They made $440 at the matinee.
A) Write a system of equations in standard form that represents the prices at the Theatre on Saturday and the second day.
B) Rewrite the system of equations in slope-intercept form. What are the y-intercepts of both equations?
A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.
B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.
A) Let's define the variables:
Let x represent the number of children attending.
Let y represent the number of adults attending.
On Saturday night:
The equation for the revenue generated on Saturday night is:
4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).
Matinee on the second day:
The equation for the revenue generated at the matinee is:
3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).
Therefore, the system of equations in standard form is:
4x + 5y = 540
3x + 5y = 440
B) Let's rewrite the system of equations in slope-intercept form:
On Saturday night:
4x + 5y = 540
Rearranging the equation, we get:
5y = -4x + 540
Dividing both sides by 5, we get:
y = (-4/5)x + 108
The y-intercept of this equation is 108.
Matinee on the second day:
3x + 5y = 440
Rearranging the equation, we get:
5y = -3x + 440
Dividing both sides by 5, we get:
y = (-3/5)x + 88
The y-intercept of this equation is 88.
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Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
3. Lamar's hybrid car gets 45 miles per gallon. Please list 2 equivalent ratios that
are based on this relationship. Explain why they are equivalent.
Your arrswer
Answer:
im sooo sorry
Step-by-step explanation:
What is the equation of this line?
y=1/2x−3
y=−1/2x−3
y=−2x−3
y=2x−3
Answer:
y=1/2x-3
Step-by-step explanation:
starting at the origin, you go down 3 to reach the line/point, hence the -3. Then you go up 1 over the right 2 to get reach the point, hence the 1/2.
It would not be negative 1/2 because we didn't go down 1 to the right.
List five numbers with eight in the ones place
Answer: 18, 28, 38, 48, 58
Step-by-step explanation:
Answer:
18, 28, 38, 48, 58
Step-by-step explanation:
I think this is pretty self explanatory.
PLEASE HELP QUICKLY(25 points)!!
Match the description with the correct answer.
(questions)
———————
y-intercept -
slope-
domain-
range-
is this graph increasing, decreasing or both-
x-intercept-
———————
(answer choices)
(4,0), (0,4), (-2,0), (0,-2), +2, -4,
input values, increasing, decreasing,
both increasing and decreasing, output values
———————
please help quickly its worth 10.34 points on my test
Answer: In that picture the slope is increasing
Step-by-step explanation: positive rise and positive run (uphill from left to right)
What triangle is similar to the given one?
Answer:
D
Step-by-step explanation:
In 2001, a rare baseball card was worth $11.00. This year the card is worth $8.00. What percent
of the value of the card has been lost?
A 72.7%
B 27.3%
C 11.0%
D 8.0%
Problem 1
1.a. Use addition or subtraction to rewrite the equation.
13 POINTS
Enter the new equation as your answer.
7x - 3 = -17
Enter your answer
2.b. Use multiplication or division to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer. *
(1 Point)
Enter your math answer
Answer:
7x = -14x = -2Step-by-step explanation:
1. Using the addition property of equality, we can add 3 to both sides of the equation. Then it can be rewritten as ...
7x -3 +3 = -17 +3
7x = -14
__
2. Using the division property of equality, we can divide both sides of the equation by 7. Then it can be rewritten as ...
7x/7 = -14/7
x = -2
_____
Additional comment
Note that we have used these steps to solve the equation, find the value of x that makes it true. We could use different steps to rewrite the equation to almost anything you want:
7x -3 -95 = -17 -95 ⇒ 7x -98 = -112 . . . . . subtract 95 from both sides
12(7x -98) = 12(-112) ⇒ 84x -1176 = -1344 . . . . multiply both sides by 12
The resulting equation is not helpful for finding a solution, but it is an accurate rewrite of the original equation.
Use implicit differentiation to find dy/dx and d^2y/dx^2.
Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.
Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.
Given the equation x² + xy + y² = 5,
we can differentiate both sides with respect to x using the chain rule as follows:
2x + (x(dy/dx) + y) + 2y(dy/dx) = 0
Simplifying this equation yields:
(x + 2y)dy/dx = -(2x + y)
Hence, dy/dx = -(2x + y)/(x + 2y)
Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.
That is:
d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))
= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))
Simplifying this equation yields:
d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³
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what is six hundred eighty and fourteen thousandths written in standard form?
Answer:618.014
Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.
Joe makes tomato sauce to sell at a craft fair. He makes it in 5 gallon batches. How many pint jars does he need to hold 5 gallons of sauce?
By doing a change of units, we know that he will need 40 pint jars to hold the whole volume of sauce.
How many pint jars does he need?
We know that Joe makes tomato sauce to sell at a craft fair, and we know that he did make that sauce in 5-gallon batches.
We want to see how many jars do he need to hold these 5 gallons, so we need to perform a change of units.
Remember the relation:
1 gallon = 8 pints.
So, for each gallon, he will need 8 pint jars, then for the 5 gallons, he will need:
5*8 pint jars = 40 pint jars.
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Ariana invested $7500 in an account paying in interest rate of 2.9% compounded continuously assuming no deposits or withdrawals are made how much money to the nearest $10 would be in the account after 14 years
Answer:
11,260
Step-by-step explanation:
im pretty sure that the formula were were using was
A=Pe^rt.
That means, we have to plug it in the formula.
P= 7500
r= 0.029
t= 14
you calculate it and then to the nearest ten dollars, your answer will be
$11,260. :)
Using Exponential Function, the amount of money to the nearest $10 would be in the account after 14 years is $11,260.
What is Exponential function?Exponential function is "a function whose value is constant raised to the power of an argument, especially the function whose constant is e".
According to the question,
Ariana invested $7500 in an account paying interest rate 2.9% compounded continuously assuming no deposits or withdrawals are made.
In order to find amount of money after 14 years only if we use exponential function.
Formula to find amount of money after 14 years = P .\(e^(rt)\) where 'r' is the rate of interest and 't' is time period and 'P' is the Principal.
Amount of money after 14 years = P .\(e^(rt)\)
= (7500)\(e^(0.029)(14)\) [2.9% = \(\frac{2.9}{100}\) = 0.029]
= 7500\(e^(0.406)\)
= 7500 (1.5008) [The value of \(e^(0.406)\) = 1.5008]
= 11,256.
Hence, using Exponential Function, the amount of money to the nearest $10 would be in the account after 14 years is $11,260.
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Y=24-4x fill in the table using this function rule
X Y
1 ?
4 ?
5 ?
6 ?
X = 1 4 5 6
Y = 20 8 4 0
Mathematical FunctionsFrom the function: Y = 24 - 4X
If X = 1, then Y = 24 - 4(1) = 20
If X = 4, then Y = 24 - 4(4) = 8
If X = 5, then Y = 24 - 4(5) = 4
If X = 6, then Y = 24 - 4(6) = 0
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Solve the inequality 3x + 4 < 22
Answer:
3х<18
х<6
хє(-infinity ;6);
Answer:
x<6
Step-by-step explanation:
3x+4<22
First, subtract 4 from both sides of the inequality.
3x-4<22-4
This cancels out the 4, so the 3x is isolated
3x/3<18/3
Finally, simplify to get the answer.
x<6
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How many terms are in the expression 5 - 3c + 21?
A
one
B
two
C
three
D
four
Answer:
B. two
Hope this helps you!
\( \qquad \qquad\huge \underline{\boxed{\sf Answer}}\)
The given expression is :
\(\qquad \sf \dashrightarrow \: 5 - 3c + 21\)
Now, first simplify the expression ~
\(\qquad \sf \dashrightarrow \: 5 + 21 - 3c\)
\(\qquad \sf \dashrightarrow \: 26 - 3c\)
Count the number of terms ~
Hence, we get the two terms in the given expression.
Find X using the Angle Sum Theorem
Answer:
Step-by-step explanation:
x + 30 + 25 = 180
x + 55 = 180
x = 125
y + 125 = 180
y = 55
What is an equation for the line that passes that passes through the points (1, 1) and (3, 5)
Answer:
(6,9)
Step-by-step explanation:
10 points
The range is the difference between the greatest and least number in a
data set. What is the range of the given data set? Data Set: 33, 18, 15. 35.18*
Answer:
20.18
Step-by-step explanation:
Greatest number= 35.18
Least number=15
Difference between the twain=20.18
Answer:
The range is 2.18.
Step-by-step explanation:
35.18 - 33 = 2.18
Which ordered pairs to the equation 5x+12y=15 (5,-5/6) (-3,5/2) ( -6,15/4) (-5,10/3)
Answer:
All of them
Step-by-step explanation:
All we have to do is replace the x and y with their following coordinates
A.(5, -5/6) - - > 5(5) + 12(-5/6) = 25 + (-10) = 15
15 = 15
Yes
B. ( -3, 5/2) - - > 5(-3) + 12(5/2) = -15 + 30 = 15
15 = 15
Yes
C. (-6, 15/4) - - > 5(-6) + 12(15/4) = -30 + 45 = 15
15 = 15
Yes
D. (-5, 10/3) - - > 5(-5) + 12(10/3) = -25 + 40 = 15
15 = 15
Yes
a2=11, a12 = 51
can someone please help me ??
could you specify your question a bit more?