Answer:
a) interest paid: $1104
b) monthly payment: $374.55
c) total cost: $26,244
d) simple interest: $2136.90
Step-by-step explanation:
a)The loan amount is $24,140 · (1 -15%) = $21,369
The amortization formula tells you the monthly payment.
A = P(r/n)/(1 -(1 +r/n)^(-nt)) . . . . loan amount P at annual rate r compounded n times per year for t years
A = $21,369(0.02/12)/(1 -(1 +0.02/12)^(-12·5)) ≈ $374.55
The total amount paid will be 60 times this, so ...
total of payments = 60·$374.55 = $22,473
The interest paid is the difference between this and the loan amount:
interest paid = $22,473 -21,369 = $1104
__
b)The monthly payments will be $374.55, as found above.
__
c)The total cost of the car will be the original price plus the interest paid:
$25,140 +1,104 = $26,244
__
d)The simple interest on $20,519 for 5 years is ...
I = Prt = $21,369 · 0.02 · 5 = $2136.90 . . . simple interest
Consider the line y=7x-5. Find the equation of the line that is perpendicular to this line and passes through the point (-8, -6). Find the equation of the this line that is parallel to the point (-8, -6).
Answer:
Equation is y = -1/7x - 50/7 or y = -1/7x - 7 1/7
Step-by-step explanation:
Perpendicular lines slopes are negative reciprocals of each other.
y = 7x - 5 This equation slope = 7 because the slope is the coefficient of the x-term.
The line that is perpendicular will have a slope of -1/7 ( the negative reciprocal of 7)
Next to find the value of "b" using y = mx + b and slope of -1/7 and point (-8, -6).
y = mx + b
-6 = -1/7(-8) + b
-6 = 8/7 + b
-6 - 8/7 = b
-50/7 = b
Equation is y = -1/7x - 50/7 or y = -1/7x - 7 1/7
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}~\hspace{10em} y = \stackrel{\stackrel{m}{\downarrow }}{7}x - 5\\\\[-0.35em]~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}{\stackrel{slope}{7\to \cfrac{7}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{7}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{7}}}[/tex]
so we know that it has a slope of -1/7 and passed through (-8,-6)
[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6}) ~\hspace{10em} \stackrel{slope}{m}\implies - \cfrac{1}{7} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{-\cfrac{1}{7}}[x-\stackrel{x_1}{(-8)}] \implies y+6=-\cfrac{1}{7}(x+8) \\\\\\ y+6=-\cfrac{1}{7}x-\cfrac{8}{7}\implies y=-\cfrac{1}{7}x-\cfrac{8}{7}-6\implies ~\hfill y=-\cfrac{1}{7}x-\cfrac{50}{7}[/tex]
rewrite 4x plus 2y equals 6 in slope intercept form.
Answer:y=-2x+3
Step-by-step explanation:
Please helpp!! best answer gets brainliest
Answer:
the answer is B and C, because B equals .57 and C is .666 continuous
Answer:
C
Step-by-step explanation:
Turn everything into a fraction (round if needed)
4/7 = 0.571
A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.
B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.
C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.
Could someone please help me?
Mary mixes 11/12oz of red paint with 1 3/4oz of white paint.
How many ounces of paint does Mary mix?
Answer:
2 8/12 or simplified it is 2 2/3.
please help me outtt
Answer:
2/9
2 to 9
Step-by-step explanation:
30 is 60% of
I need an explanation
Answer:
50
Step-by-step explanation:
x=30/0.6 = 50
Answer:
50
Step-by-step explanation:
30÷60=0.5
0.5×100=50
you can reverse it so
50÷100 is 0.5
so 1 percent of 50 is 0.5
so 60 percent of 50 is 30
0.5×60=30
The box plots shown represent the average mileage of two different types of cars. Use the box plots to compare the data sets. Drag each value to show if it is greater for SUVs, greater for sedans, or if there is not enough information to tell.
Answer:
Parallel box and whisker plots are regular box and whisker plots, but drawn "one-above-the other" on the piece of paper. To enable to do this easily, draw an x-axis which is big enough for the largest value in the data, and small enough for the smallest value in the data (in the entire collection of data). Plot each box-and-whisker diagram below each other.
Step-by-step explanation:
pls mark
Answer:
Parallel box and whisker plots are regular box and whisker plots, but drawn "one-above-the other" on the piece of paper.
Step-by-step explanation:
Need help with these two problems
it takes Cynthia 12 hours to proof a chapter of Hawkes Learning Systems' Intermediate Algebra book and it takes Phillip 3 hours. How long would it take them working together? (Round your answer to two decimal places.)
n = 3:
– 3 and 4 + 2 i are zeros:
f(- 1) = 58
Answer:
de eitcukqrncjakgkciwitjfuqjrjcjwjtjfkwjtkckskrkchakrjfnrjcjdnsnfncdn
The importance of crushing the Whiskey Rebellion was to uphold
Answer:
Federal Authority should be the answer
Find the value of the letters in the photo
Answer:
a = 98
b = 82
c = 58
d = 122
Step-by-step explanation:
Ok so I tried to find b first since that was the easiest.
The other side from b is going to be 98 because of the vertical angles theorem, and adding 98 with b will be 180 because of supplementary angles.
180-98=b
82=b
I looked for letter a next. I used the alternate interior angles with letter a and the other side of b. Alternate interior angles always equal each other so therefore the opposite from letter a is 82. 180-82=98
C is 58 from an interior angles theorem I learned a year ago and forgot (sorry. hmm i think its called corresponding angles theorem)
And letter D is found by taking the vertical angle from C and giving it the value of 58 since C is also 58. Now we know that the other side from d is 58 and adding 58 with d will get us 180 since they are both supplementary angles.
d+58=180
d=122
Sorry for my sketchy explanation I learned this a year ago and I don't remember the names of the explanations well
Answer:
a = 98° , b = 82°, c = 58° , d = 122°
Step-by-step explanation:
a and 98° are corresponding angles and are congruent , so
a = 98°
a and b are same- side interior angles and sum to 180° , that is
b + 98° = 180° ( subtract 98° from both sides )
b = 82°
c and 58° are corresponding angles and are congruent , so
c = 58°
c and d are adjacent angles on a straight line and sum to 180°
d + 58° = 180° ( subtract 58° from both sides )
d = 122°
help pls and ty! i will give brainliest to the correct answer
Answer: 24km
Step-by-step explanation:
given 1cm : 8km
distance between cafe and restaurant upply store= 3cm
Real distance = 3x8 =24 km
Scale: 1cm represents 100km
Answer: 2cm represents 200km
3cm represents 300km
Step-by-step explanation:
I do not see the question
-
I need help please
[tex]x = 7 - p\implies x + p = 7\implies \boxed{p = 7 - x} \\\\[-0.35em] ~\dotfill\\\\ y = 3p+4\implies y = 3(7-x)+4\implies y = 21-3x+4\implies \blacktriangleright y = 25 - 3x\blacktriangleleft[/tex]
−4[−2(7−10)−15]2(−1)
Answer:
-72
Step-by-step explanation:
You first solve what's inside the parenthesis.
(7-10) = -3
(-2(-3)-15)= -9
-4(-9)(2)(-1)= -72
Therefore, the answer is -72.
Hope it helped!
Can you please tell me if this is correct ?
Answer:
(6*3) - 5
Step-by-step explanation:
The product of 6 & 3 = 6*3 = 18
5 less than 18 means the required number is 5 units smaller than 18. so you have to subtract from 18
18 - 5 = 13
13 is 5 less than 18
Record the prime factorization of 720 using exponents
Answer:
20
Step-by-step explanation:Because thats the last two digets
The prime factorization of 720 using exponents is 2⁴×3²×5.
The given number is 720.
Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.
The factors of 720 are
720 = 2×2×2×2×3×3×5
Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
Now, 2×2×2×2×3×3×5 = 2⁴×3²×5
Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.
Learn more about the prime factorisation here:
https://brainly.com/question/27194245.
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no link or bot answer right
Answer:
1/6^8
Step-by-step explanation:
the answer is the one right next to the submit answer
Your weekly paycheck is 15 percent less than your coworker's. Your two paychecks total
$815. Find the amount of each paycheck.
Your coworker's paycheck = $
Your paycheck = $
Answer:
Step-by-step explanation:
100% - 15% = 85% = 0.85
2 × ( 0.85x ) = 815
x = $479.41 ( coworker's paycheck )
479.41 × 0.85 = 407.5
Your paycheck = $407.50
need help with homework plz and thank u :)
Answer:
For part a you need to factor. X to the power of 2 is 2x. when you add it its turns into 2x+10x+16=0
2x+10x=12x
12x+16 will be your final answer
Step-by-step explanation:
what is the order biggest to least.
6/40 -4 3/4 -9/20
Answer:
.15, -.45, -4.75
Step-by-step explanation:
put all of them into a ti84 calculator and convert to decimals and then you get your answer.
Answer:
6/40, > -9/20, > -4 3/4
because positive numbers are greater, and the smaller the negative number, the greater it is.
When you need to convert from one system of measurement to another, you should convert to the a) system that will have the highest number. b) system that will have the smallest number. c) system used on the medication label. d) metric system.
Which ordered pairs represent points on the graph of this equation? Select all that apply.
3x + 2y = -12
(-6, 7)
(76)
(-4,0)
(0,7)
(3,-3)
(6,0)
The point (-4,0) will be the ordered pair of the equation 3x + 2y = -12. The correct option is B.
What is an equation of a line?An equation of the line is defined as the linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line is y = mx + c, where m is the slope and c is the intercept cut by the y.
To calculate the ordered pair by satisfying the equation with each pair of points.
3(-6)+2(7)= -4
3(-4)+2(0)=-12 YES
3(0)+2(7)=14
3(3)+3(-3)=0
3(6)+2(0)=18
Therefore, the point (-4,0) will be the ordered pair of the equation 3x + 2y = -12. The correct option is B.
To know more about an equation of the line follow
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A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.
Answer:
6
Step-by-step explanation:
h = 8
Surface area = 66π
2πr(r +h) = 66π
2πr(r + 8) = 66π
[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]
r² + 8r = 33
r² + 8r - 33 = 0
r² + 11r - 3r - 33 = 0
r(r + 11) - 3(r + 11) = 0
(r +11 ) (r - 3) = 0
r - 3 = 0 {Ignore r = -11 as radius will not have negative value}
r = 3
Diameter = 3*2 = 6 units
Part A
Suppose a rocket is being launched into outer space. On its way up, several different forces act on the rocket. One of these forces, thrust, is
applied by the rocket's engines.
The rocket's engines apply a constant upward force to a rocket on its way to outer space. In the absence of other forces, the upward force on the
rocket would cause it to accelerate up at a constant rate of a meters/second.
Still ignoring any other forces, the height of the rocket can be expressed as a function of the time elapsed in seconds after the launch, t. This
function, ft), is equal to half the product of the rocket's acceleration and the square of the time after launch. Write the equation for ft).
The speed of the rocket is able to increase with time in the upward
direction because the rocket has an upward acceleration.
[tex]\displaystyle \mathrm{The \ function \ that \ gives \ the \ height \ of \ the rocket \ is \ }\underline{f(t) = \frac{1}{2} \cdot a \cdot t^2}[/tex]Reasons:
The acceleration of the rocket = a
According to Newton's Law of motion, the height reached by the rocket with time can be found by the formula;
[tex]\displaystyle f(t) = u \cdot t - \frac{1}{2} \cdot a \cdot t^2[/tex]
Where;
u = The initial velocity of the rocket = 0
Which gives;
[tex]\displaystyle f(t) = 0 \times t - \frac{1}{2} \cdot a \cdot t^2 = \mathbf{ \frac{1}{2} \cdot a \cdot t^2}[/tex]
[tex]\displaystyle \underline{The \ height \ of \ the \ rocket, \ f(t) = \frac{1}{2} \cdot a \cdot t^2}[/tex]Learn more here:
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PLEASE HELP ITS DUE NOW!!!!!!
WILL MARK BRAINLIEST!!!!!
Answer:
answer is in the image
Step-by-step explanation:
hope you have a great day i hope its the answer
I will Make Brainliest ! Plz solve those 5 Question on the Picture.
Answer:
[tex]y = {x}^{2} - 2x \\ (i) y= {3}^{2} - 2(3) = 9 - 6 = 3 \\ (ii)see \: the \: attached \: graph \\ (iv) {( \times - 1)}^{2} - 1 = 0 \\ (iii)x = 1 \rightarrow \: y = - 1\rightarrow(1,-1)[/tex]
[tex](v) \: the \: interval \: 3 - 1[/tex]
Convert 0.86 into a fraction and reduce the answer to lowest terms
Answer:
43/50
Step-by-step explanation:
Answer:
43\50
Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal point over 100. Reduce the fraction
