Answer:
1) The monthly payment is approximately $292.96
2) The total interest is approximately $2,061.84
Step-by-step explanation:
1) The financing method Nathan Reynolds applied to buy the car is given as follows;
The purchase price of the car = $15,000
The down payment made for the car = $3,000
The
The interest on the loan he took for the balance of the purchase price, R = 8%
The number of years for which he took the loan, n = 4 years = 48 months
We have;
The balance of the purchase price = (The purchase price of the car) - (The down payment made for the car)
∴ The balance of the purchase price = $15,000 - $3,000 = $12,000
The balance of the purchase price = $12,000 = The loan Nathan secured
The monthly payment on a loan is given by the following formula
[tex]A = P \times \dfrac{r \cdot (1 + r)^n}{(1 + r)^n - 1}[/tex]
Where;
A = The payment amount made monthly
P = The principal or loan amount = $12,000
r = The interest rate divided by 12 = R/12 = 8/12 = 2/3
n = The number of months the monthly payment will be made = 48 months
By plugging in the variable values, we get;
[tex]A = 12,000 \times \dfrac{\dfrac{2}{300} \times \left (1 + \dfrac{2}{300} \right ) ^{48}}{ \left (1 + \dfrac{2}{300} \right )^{48} - 1} = 292.955068099 \approx 292.96[/tex]
Therefore, the payment amount made monthly, A ≈ $292.96
2) The total payment made in the 48 months = A × 48 = 292.955068099 × 48 ≈ 14,061.84
The total payment made in the 48 months ≈ $14,061.84
The total interest = (The total payment made in the 48 months) - (The loan amount)
∴ The total interest = $14,061.84 - $12,000 ≈ $2,061.84
Consider the function f(x) =2x+3 Find the average rate of change from the following points x=2 and x= 6
Step-by-step explanation:
step 1. m = 2.
step 2. for a linear equation the average rate of change between any points is the slope m.
What is the area of cross-section ADGF of this right rectangular prism?
A.
20 square units
B.
48 square units
C.
52 square units
D.
65 square units
Answer:
C.52 square units
Step-by-step explanation:
We are given that
Length of cross-section ADGF,l=13units
Length of cross-section ADGF, b=4 units
We have to find the area of cross-section ADGF of this right rectangular prism.
We know that
Area of rectangle=[tex]l\times b[/tex]
Using the formula
Area of cross-section ADGF of this right rectangular prism
=[tex]13\times 4[/tex]
Area of cross-section ADGF of this right rectangular prism=52square units
Option C is correct.
C.52 square units
Answer:
i hope this helps
Step-by-step explanation:
Help.Calculate the area of the trapezoid
Answer:
180 in²
Step-by-step explanation:
[tex]A_{trapezoid}[/tex] = [tex]\frac{b_{1} +b_{2} }{2}[/tex] h
Your class earned $120.00 Saturday afternoon by washing cars to raise money for the class trip. This is 1/4 of the money needed for the trip. What is the total amount needed?
Answer:
$360.00
(I hope this was helpful)
THIS IS GEOMETRY I ONLY ahve 10 MINUTES PLEASE HELP THANK U
Answer:
i need a photo or an equation TvT
Step-by-step explanation:
TvT TvT TvT
Find g. 45° 45° g 3
[tex]3 \sqrt{2} [/tex]
Write your answer in simplest radical form, units
Step-by-step explanation:
sin45=3√2/g
g=3√2/(1÷√2)=3×√2×√2=3×2=6units
Answer:
g = 6 units
Step-by-step explanation:
In the given right angled triangle , rest 2 angles are same i.e. 45° each.
Lets assume the angle opposite to the side whose measure is 3√2 units as α (alpha).
⇒ α = 45°
So ,
[tex]\sin \alpha = \frac{side \: opposite \: to \: \alpha }{hypotenuse}[/tex]
[tex]=> \sin 45 = \frac{3\sqrt{2}}{g}[/tex] ( [tex]\alpha = 45[/tex] )
[tex]=> \frac{1}{\sqrt{2}} = \frac{3\sqrt{2}}{g}[/tex] (∵ [tex]\sin 45 = \frac{1}{\sqrt{2}}[/tex] )
[tex]=> g = 3\sqrt{2} \times \sqrt{2} = 6[/tex]
What is the inequality for -8x>48
Answer: x<−6
Step-by-step explanation:
Find the slope!! Please
Answer:
The slope is -(1/3)
Step-by-step explanation:
For every 3rd step, the y-value decreases by 1 and the line intersects the y-axis in (0,1).
This observation yields the following equation for your line:
f(x) = y = -(1/3)x + 1
Therefore, the slope is -(1/3).
car covers x plus 2 kilometre in 1 litre how much distance it will covers in Y litres
Answer:
y km = (x+2)y km
Step-by-step explanation:
Given that,
A car covers (x+2) kilometre in 1 litre.
We need to find the distance it will cover in y litres.
1 litre = (x+2) km
y km = (x+2)y km
Hence, it will cover (x+2)y km in y litres.
The equation below shows the total volume (V), in cubic units, of 9 identical boxes with each side equal to s units:
V = 9s3
If s = 1.6 units, what is the value of V?
23.040 cubic units
36.864 cubic units
58.980 cubic units
129.60 cubic units
36.864 cubic units is what the answer is
verify the segments are parallel
Step-by-step explanation:
I don't have a answer but try photo math app it might help you a lil
Select the correct answer. What is the value of a in the function’s equation?
Answer:
[tex]a = -2[/tex]
Step-by-step explanation:
Given
The attached function (graph)
Required
Find a
The given function is quadratic and will be solved using:
[tex]y = ax^2 + bx + c[/tex]
From the attachment:
[tex](x,y) = (-3,4)[/tex]
[tex](x,y) = (-2,2)[/tex]
[tex](x,y) = (-4,2)[/tex]
Substitute these values in [tex]y = ax^2 + bx + c[/tex]
For: [tex](x,y) = (-3,4)[/tex]
[tex]4 = a(-3)^2 + b(-3) + c[/tex]
[tex]4 = 9a -3b + c[/tex]
For: [tex](x,y) = (-2,2)[/tex]
[tex]2 = a(-2)^2 + b(-2) + c[/tex]
[tex]2 = 4a -2b + c[/tex]
For: [tex](x,y) = (-4,2)[/tex]
[tex]2 = a(-4)^2 + b(-4) + c[/tex]
[tex]2 = 16a -4b + c[/tex]
So, we have:
[tex]4 = 9a -3b + c[/tex] --- (1)
[tex]2 = 4a -2b + c[/tex] ---- (2)
[tex]2 = 16a -4b + c[/tex] --- (3)
Make c the subject in (1)
[tex]c = 4 - 9a + 3b[/tex]
Substitute [tex]c = 4 - 9a + 3b[/tex] in (2) and (3)
[tex]2 = 4a -2b + c[/tex]
[tex]2 = 4a -2b + 4 - 9a + 3b[/tex]
Collect Like Terms
[tex]-4 + 2 = 4a - 9a-2b + 3b[/tex]
[tex]-2 = - 5a+b[/tex] --- (4)
[tex]2 = 16a -4b + c[/tex]
[tex]2 = 16a - 4b + 4 - 9a + 3b[/tex]
Collect Like Terms
[tex]2 -4 = 16a - 9a + 3b- 4b[/tex]
[tex]-2 = 7a -b[/tex] --- (5)
Add 4 and 5
[tex]-2 = - 5a+b[/tex]
[tex]-2 = 7a -b[/tex]
--------------------------
[tex]-2 - 2 = -5a + 7a +b - b[/tex]
[tex]-4 = 2a[/tex]
Divide through by 2
[tex]-2 = a[/tex]
[tex]a = -2[/tex]
Convert the following quadratic equation to vertex form. 2) 3x2 - 12x - 5
Answer:
2*12x-5
Step-by-step explanation:
In geometry, a vertex form is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. For example, a square has four corners, each is called a vertex.
PLS SHOW HOW YOU SOLVED THE PROBLEM
15. The perimeter of an isosceles triangle is 34 inches. When you add the base of the
triangle to one of the equal sides the sum is 18. What is the length of the base of the
triangle?
a)
2 inches
go to card 3
b) 14 inches
go to card 6
c) 9 inches
go to card 9
d) 16 inches
go to card 11
e) 4 inches
go to card 13
Answer:
D
Step-by-step explanation:
just the 11b. due in 12 hrs. Need this very soon. :) thx
Answer:
28 litres of mango juice will be required
Step-by-step explanation:
11). b. Internal dimensions of the rectangular prism are,
Length = 40 cm
Width = 20 cm
Height = 35 cm
Volume of the rectangular prism = Length × Width × Height
= 40 × 20 × 35
= 28000 cm³
Since, 1 cm³ = 1 mL
Therefore, 28000 cm³ = 28000 mL
Since, 1000 mL = 1 L
28000 mL = 28 L
Therefore, to fill this jar 28 L of orange juice will be required.
2 x 5 x 10 helppppppp
Answer: 100
Step-by-step explanation:2*5 =10 then 10*10 is 100
Answer:
100
Step-by-step explanation:
so, here is how to work this problem out
2*5 = 10
10*10 = 100
Write the vertex form of the quadratic equation.
y=x – 6x + 5
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
y= (x-3)^2 -4
Step-by-step explanation:
Solve for n:
1-5|n-9|=-74
I need answer by 12:10, please help!!!
Answer:
[tex]n=-6, 24[/tex]
Step-by-step explanation:
We are given:
[tex]1-5|n-9|=-74[/tex]
Subtract 1 from both sides:
[tex]-5|n-9|=-75[/tex]
Divide both sides by -5:
[tex]|n-9|=15[/tex]
By definition of absolute value:
[tex](n-9)=15\text{ or } -(n-9)=15[/tex]
Solve for each case:
[tex]n=24\text{ or } n=-15+9=-6[/tex]
Therefore, our two solutions are:
[tex]n=-6, 24[/tex]
Which is greater 2.6 or 2.65 ?
Answer:
2.65 is greater than 2.6
Step-by-step explanation:
if 65 is greater than 60 than 2.65 is greater than 2.60
Answer:
2.6 > 2.65
Step-by-step explanation:
por liquidación,toda la ropa de invierno está en oferta,te descuentan 50 pesos por cada 100 pesos que compres ¿cuanto se deberá pagar por una chamarra cuyo precio y otal es de 850 pesos?
Answer:
no comprendo
Step-by-step explanation:
subtract (2y + 3x-x²) from (5x²-y2-2x)
Answer:
6x² - 5x - y² - 2y
Step-by-step explanation:
We have
5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1
= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms
= 6x² - 5x - y² - 2y
Please help!!!
What is the missing value and why?
Answer:
11
Step-by-step explanation:
MATH PLS HELP
(7h+9)+(4h+4)
Answer:
11h+13
Step-by-step explanation:
7h+4h=11h
9+4=13
Answer:
11h+13
Step-by-step explanation:
Combine like terms.
Okay lets get one thing straight Tsukki is not a nerd he is shmexy ! And Kyo is not just "okay" he is mega hot!
Answer:
Nope. Icy-hot, you've got it all wrong, Tsukkishima is a godda.mn nerd like Deku, and Kyo is meh.
Solve the system of linear equations
Answer:
There are infinite answers. it is the same line
Answer:
Infinite solutions
Step-by-step explanation:
10.
Write a rule for the linear function in the graph.
A. y = 4/5x + 2
B. y = -5x - 2
C. y = 5/4x - 2
D. y = -4/5x + 2
Answer:
D. y = -4/5x + 2
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
4
5
y-intercept:
(
0
,
2
)
x
y
0
2
5
2
0
solve the problem: -10 + +10 =
Answer:
0
Step-by-step explanation:
-10+ + 10
-10+10
0
WORLD PEACE EVERY WHERE
love,
compassion,
kindness,
responsibility,
humbleness,
reborn,
greatness,
success,
hopeful
, joy
Answer:
yes Amen and we also need Jesus
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
That would solve so many problems
1. Use the distributive property to factor out the greatest common factor (GCF) and rewrite the
expression 36 minus 96.
a. 2(18-48)
B.6(6-16)
c 12 (3-8)
D. 12(6-2)
Solve the equation, and choose the type of solution you
found.
2x + 8 = 2(x + 4)
Answer:
All real numbers are solutions
Step-by-step explanation:
2x + 8 = 2(x + 4)
~Simplify right side
2x + 8 = 2x + 8
~Subtract 8 to both sides
2x = 2x
~Divide 2 to both sides
0 = 0
Best of Luck!
Answer: the answer is infinite
Step-by-step explanation: so first you need to distribute the 2 into the () and you would get 2x+8 and since it is the same on both sides it cancles eachother out therefore there is infinite answers