The monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660
It is given that the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, is compounded monthly.
It is required to find the monthly payment.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A=P(1+ \frac{r}{n})^n^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have P = $23,570
r = 10.43% = 10.43/100 = 0.1043
n = 12
t = 5 years
Putting all the values in the formula, we get:
[tex]\rm A=23,570(1+\frac{0.1043}{12})^1^2^\times^5[/tex]
[tex]\rm A = 23,570\times1.680\\\rm A = 39597.6[/tex]
The monthly payment will be:
=[tex]\rm \frac{A}{t(in \ months)}[/tex]
[tex]\rm = \frac{39597.6}{60} \\\rm = 659.96\\\rm \approx 660[/tex]
Thus, the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660.
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Answer:
D. 505.79
Step-by-step explanation:
edge 2022
Which mapping diagram represent a function from X to Y
Answer:
choice D
a function is loosely defined as having one output for each input. in real people words, the x value can't repeat
Need the answers ASAP please
Answer:
Find the HCF of 72 and 180
Some answer this for me pls
Answer:
120 -xx +12Step-by-step explanation:
The absolute value function multiplies its argument by -1 if and only if that argument is negative.
a)[tex]|x-120|=\begin{cases}-(x-120)&\text{for }(x-120) < 0\\(x-120&\text{for }(x-120)\ge0\end{cases}[/tex]
The first condition resolves to ...
x -120 < 0 ⇒ x < 120 . . . . . matches the given condition x < -120
So, we can simplify the expression to ...
-(x -120) = 120 -x . . . when x < -120
__
b)[tex]|x-(-12)|=\begin{cases}-(x+12)&\text{for }(x+12) < 0\\(x+12)&\text{for }(x+12)\ge0\end{cases}[/tex]
The second condition resolves to ...
x+12 ≥ 0 ⇒ x ≥ -12 . . . . . matches the given condition x > -12
So, we can simplify the expression to ...
x +12 . . . when x > -12
_____
Additional comment
You may have noticed that the function |x -120| translates the absolute value function 120 units to the right. The condition x < -120 puts the boundary at 120 unit to the left of 0, well within the area to the left of the vertex. This is illustrated by the attached graph.
Metal cylinders are made by bending rectangular sheets of metal, measuring 15 cm
by 6 cm, until the sides meet.
How many cylinders can be made from a sheet of metal that is 2 m long and
1 m wide?
m
Answer:
1m wide it means in cm area of sheet = 200 cm × 100 cm=20000 cm2total number of cylinder making through sheet= area of sheet / curved surface area of a cylinder= 20000/90=222.2222 (approx)
Step-by-step explanation:
mark me brainliest!!
Which equation represents this number sentence?
The quotient of 7 and a number is 10 less than 3 times the number
7/n=3(n-10)
7/n =10-3n
N/7=10-3n
7/n3n-10
Answer:
7n=3(n-(10)
Answer= n= -15
2
Answer:
7/n = 10-3n
Step-by-step explanation:
Quotient: 7
Variable (#): N
7/n
Is: Equal sign
7/n=
Number: 10
7/n=10
Less than: -
7/n= 10-
3 times the number: 3n
7/n = 10 - 3n
Find the area of a triangle if base is 45 and height is 10
Answer:
225 units squared
Step-by-step explanation:
The area of a triangle is 1/2*base*height.
A = 1/2*b*h
base = 45
height = 10
Just plug into formula.
A = 1/2*(45)*(10) = 225
Florida has a population of about 2 X 10'. The Earth has a population of about 8 X 109. About how many times more populated is the Earth than Florida?
Please Help!
Answer:
852
Step-by-step explanation:
2 times 10 is 20
8 times 109 is 872
You subtract the two values, 872-20=852
If Florida has a population of about 2 X 10'. The Earth has a population of about 8 X 109. Then 852 times more populated is the Earth than Florida.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that
Florida has a population of about 2 X 10'.
The Earth has a population of about 8 X 109.
We need to find how many times more populated is the Earth than Florida.
We know that
2 times 10 is 20
and 8 times 109 is 872
To calculate how many times more populated is the Earth than Florida. we just required to subtract 872 and 20.
You subtract the two values, 872-20=852
Hence About 852 times more populated is the Earth than Florida.
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50 POINTS!
What form is the equation
2x + 3y = 4
given in?
A. Point-Slope Form
B. Slope-Intercept Form
C. Standard Form
D. General Form
Answer:
The answer is C.Standard Form. The rest are used when graphing. Hope this helps!
Let's verify all options to see which is correct.
A. Point slope form:This equation is not in point-slope form because if we compare the given equation with the formula, they both will be in different forms.
=> 2x + 3y = 4 and y - y₁ = m(x - x₁)Henceforth, this equation is not in point-slope form.
B. Slope intercept form:This equation is not in slope intercept form because if we compare the given equation with the formula, they both will be in different forms.
=> 2x + 3y = 4 and y = mx + bHenceforth, this equation is not in slope intercept form.
C. Standard form:This equation is in standard form because if we compare the given equation with the formula, they both will be in similar forms.
=> 2x + 3y = 4 and (a)x + b(y) = cHenceforth, this equation is in standard form.
D. General form:This equation is not in general form because if we compare the given equation with the formula, they both will be in different forms.
=> 2x + 3y = 4 and (a)x + (b)y + c = 0Henceforth, this equation is not in slope intercept form.
Conclusion:Option C is correct.
HELP IT IS DUE IN 20 MIN
Greg has a spotify playlist. The playlist had 5 classical
songs, 7 rock songs, and 9 rap songs on it.
What is the probability that, when Greg presses shuffle,
he gets a rap song? Explain.
Answer:
3/7
Step-by-step explanation:
9 + 7 + 5 = 21
9/21 divided by 3/3
= 3/7
The points (-8, -4) and (0, 2) are endpoints of a diameter of a circle. Identify the standard equation of the circle.
Answer:
the first one i think im not 100% sure havent worked on this much
Step-by-step explanation:
If GF = 10, GE = 12 and EF = 9, what is the length of CD?
The length of CD is the number of units on segment CD
Using the assumed parameters, the length of segment CD is 3 units
How to determine length of segment CDThe question is incomplete, as the length of segment CD cannot be explicitly calculated from the given parameters.
Using a general explanation, a possible way to calculate the length of segment CD is if triangles EFG and CDE are similar triangles where segment CD and EF are similar sides.
So, we have:
CD = k * EF
Where k is the scale factor.
Assume the scale factor is 1/3, the equation becomes
CD = 1/3 * 9
CD =3
Using the assumed parameters, the length of segment CD is 3 units
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A bus takes takes 4 hours to reach its destination, travelling at a speed of 60 miles per hour. How many hours would it take to reach the same destination travelling at 80 miles per hour?
Answer:
he took 4hpurs to reach him at a destination of 60miles if he drove for additional 2hours that will be 80miles
find the value of x
Answer:
55°
Step-by-step explanation:
[tex]m\angle X = m\angle Z[/tex] (Opposite angles of a parallelogram)
[tex]\implies m\angle X = 70\degree[/tex]
In [tex]\triangle WXY[/tex]
WX = XY (given)
[tex]\implies m\angle XWY = m\angle XYW[/tex]
(Angles opposite to equal sides are equal)
[tex]m\angle XWY = x [/tex] (Given)
[tex]\implies m\angle XYW=x[/tex]
[tex]\implies x + x + 70\degree=180\degree[/tex]
(By angle sum postulate of a triangle)
[tex]\implies 2x =180\degree-70\degree[/tex]
[tex]\implies 2x= 110\degree[/tex]
[tex]\implies x= \frac{110\degree}{2}[/tex]
[tex]\implies\huge{\orange {\boxed{ x=55\degree}}}[/tex]
Find the measure of the numbered angles
Hello!
This is a parallelogram. It is a quadrilateral with two pairs of parallel sides. Here, the opposite angles are alternate, that is, they have togheter 180°.
Rhombus
This is a rhombus. It is a quadrilateral whose four sides all have the same length. Here, the diagonals of a rhombus intersect at equal angles.
A rhombus has opposite angles equal and the figure formed by joining the midpoints of the sides of a rhombus is a rectangle, and vice versa. It has an inscribed circle.
Good luck:)
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Step-by-step explanation:
The first box goes with the graph on the very right top.
The second box goes to the bottom box in the middle.
The third one is the very left top graph.
The fourth one is the middle top row one.
Answer:
1=3
2=4
3=1
4=2
Step-by-step explanation:
option 1 is the 3rd graph
option 2 is the last graph
option 3 is the 1st graph
option 4 is the 2nd graph
Which number is a rational number?
13/16sqrt
9/2sqrt
49sqrt
34sqrt
Answer:
[tex]\sqrt49[/tex]
Step-by-step explanation:
Knowing that: A rational number is a number that is in the form of p/q, which p and q are integers, and q whom is not equal to 0. Any number that can be written as a ratio (or fraction) of two integers is a rational number.49 is a rational number because it can be expressed as the quotient of two integers: 49 ÷ 1.
Hence, the answer is [tex]\sqrt 49[/tex]
`Lenvy~
please help me find x alecks is hard
Answer:
x=48
Step-by-step explanation:
check the picture
find the values of P for which the quadratic equation 4x²+px+3=0?
Find the values of P for which the quadratic equation 4x²+px+3=0 , provided that roots are equal or discriminant is zero .
Solution:-Let us Consider a quadratic equation αx² + βx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.
For equal roots
D = 0[tex]\quad\green{ \underline { \boxed{ \sf{Discriminant, D = β² - 4αc}}}} [/tex]
So,
[tex]\sf{ β² - 4αc = 0}[/tex]
Here,
α = 4β = pc = 3Now,
[tex]\begin{gathered}\implies\quad \sf p²- 4 \times 4 \times 3 =0 \end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf p²- 48 =0 \end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf p²=48\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf p=±\sqrt{48}\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf p=±\sqrt{2 \times 2 \times 2 \times 2 \times 3} \end{gathered}[/tex]
[tex]\begin{gathered}\implies\quad \sf p=± 2\times 2\sqrt{ 3 }\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \boxed{\sf{p=±4\sqrt{ 3 }}}\end{gathered} [/tex]
Thus, the values of P for which the quadratic equation 4x²+px+3=0 are-
4√3 and -4√3.
help pls!
Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school Take the bus
Walk
2
25
Sophomore
3
Junior
13
2
N
2
Senior
25
5
5
P( Take the bus | Junior) = [?]
Round to the nearest hundredth.
===================================================
Explanation:
The notation
P( Take the bus | Junior)
is the same as writing
P( Take the bus given Junior)
I replaced the vertical bar with the word "given".
Since we're given that the person is a Junior, this means we only focus on the Juniors. There are 13+20+2 = 35 Juniors and 20 of them take the bus.
20/35 = 0.5714 approximately which rounds to 0.57
This says about 57% of the Juniors take the bus.
The probability of P(take the bus/Juniors) is 0.57 or in percentage is 57%.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
We have to find the probability of who take the bus and they are juniors
P(take the bus/Juniors)
From the table, let us find the total number of juniors
Among juniors 13 students drive to school, 20 takes the bus and 2 come by walk
Total Juniors = 13+20+2
=35
P(take the bus/Juniors) = 20/35
Divide twenty by thirty five
=0.57
Hence, the probability of P(take the bus/Juniors) is 0.57 or 57%.
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1. Maximum is cleaning shrimp. He cleans 4 shrimp every minute. Use time in minutes as the independent quantity and the number of shrimp as the dependent quality.
A= Is the relationship proportional or non-proportional? Explain how you can determine this using a graph and the equation.
B= Identity the unit rate of this relationship. Explain what the unit rate means in terms of the situation.
C= Create a graph of the relationship.
Answer:
Step-by-step explanation:
Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4
Given : 4 Shrimps cleaned every minute.
So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T
The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.
It is directly proportional, as both variables (shrimps & time) move in same direction. One variable increase or decrease, other variable same respectively.
Graph in this case is upward sloping curve from origin, because of direct proportional relationship respectively.
Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.
10 POINTS HELP!!! a function is shown in the table:
well, let's take a look at the table
is g(x) increasing from -2 to -1? hmmm from when x = -2 g(x) = 2, then when x = -1, g(x) = -3, hold the mayo!! it went from 2 to -3, that's just going down, so, nope is not.
is itdecreasing from -1 to 0? hmmm x = -1, g(x) = -3, as x = 0, g(x) = 2, wait a second!!! it went from -3 to 2, it really went up, so nope, is not decreasing on that interval.
is it increasing from 0 to 1? let's see, as x = 0, g(x) = 2, as x = 1, g(x) = 17, woahhh!!, it went from 2 and rocketted to 17, yeap, it is increasing as x = 0 to x = 1.
Answer:
B
Step-by-step explanation:
7
DOK 2
Convert the logarithm below to exponential form. Show your work. (A [3-4]) *
(2 Points)
log, 125 = x
Answer:
125 = [tex]5^{x}[/tex]
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]
given
[tex]log_{5}[/tex] 125 = x , then
125 = [tex]5^{x}[/tex] ← in exponential form
note 125 = 5³ , then
5³ = [tex]5^{x}[/tex] ⇒ x = 3
I need help please I was stuck here
Answer:
1) Point A is located at 1, -3
2) T is at -2, 4, so T
Hope this helps
A cone has a height of 13 millimeters. Its base has a radius of 4
millimeters. Find its volume, in cubic millimeters, to the nearest tenth.
Use 3.14 or the calculator value for pi.
Answer:
Step-by-step explanation:radius r = 4 m
height h = 13 m
slant height s = 13.6014705 m
volume V = 217.817091 m3
lateral surface area L = 170.921119 m2
base surface area B = 50.2654825 m2
total surface area A = 221.186602 m2
2p^-4 x 3p^2 x 2p^0
or
2p^(-4)*3p^(2)*2p^(0)
↬ Multíplícαtíσn prσpєrtч σf thє tєrmѕ wíth ѕαmє вαѕє -
[tex] \qquad \sf \Rightarrow {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]
[tex]\rule{7cm}{1 mm}[/tex]
❑ Nσw lєtѕ αpplч thє prσpєrtч ín gívєn quєѕtíσn
[tex] \qquad ➫ \: \sf2p {}^{ - 4} \times 3 {p}^{2} \times 2 {p}^{0} [/tex]
[tex] \qquad ➫ \: \sf (2 \times 3 \times 2)(p {}^{ - 4} \times {p}^{2} \times 1)[/tex]
[ p⁰ = 1 ; exponent 0 on any numвєr has value 1 ]
[tex] \qquad ➫ \: \sf 12(p {}^{ - 4 + 2} )[/tex]
[tex] \qquad ➫ \: \sf 12p {}^{ - 2} [/tex]
I hσpє чσu undєrѕtσσd thє prσcєdurє, lєt mє knσw ɪf чσu hαvє αnч dσuвtѕ ~
[tex]\rule{7cm}{1 mm}[/tex]
[tex]\qquad \qquad\huge \dag \: \normalsize \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]
if x=15 and y= x+27 what is y
Answer:
y equals to 42
Step-by-step explanation:
since x=15, y will equal to 15+27
therefore, y=42
pls help asap i need this done
Answer:
10,293
Step-by-step explanation:
Solve this so you get coordinates as ur answer
Answer: What topic is this again??
Answer:
[tex]\begin{bmatrix}x+5y=-4\\ 2x+10y=-8\end{bmatrix}[/tex]
First, Isolate "x" for x+5y=-4= x=-4-5y
[tex]\begin{bmatrix}2\left(-4-5y\right)+10y=-8\end{bmatrix}[/tex]
Simplify
[tex]\begin{bmatrix}-8=-8\end{bmatrix}[/tex]
Therefore, the solutions are x=-4-5y
~
find x pls and explain pls
Similar triangles: The corresponding angles are equal
x = 180-(38+24) = 118°