the monthly payment for a 2-year lease at 7.9% interest with a final car value of $19,785 would be $773.76.
How to calculate payment?
To calculate the payment for a 2-year lease at 7.9% interest with a final car value of $19,785, we can use a formula called the present value of an annuity due.
The present value of an annuity due formula is:
PMT x (1 - (1 + r/n) raise to the power (-n*t)) / (r/n)
where PMT is the payment amount, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
First, we need to calculate the present value of the final car value of $19,785 at the end of the lease term. We can do this using the formula:
PV = FV / (1 + r/n)raise to the power (n*t)
where PV is the present value, FV is the future value, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
PV = $19,785 / (1 + 0.079/12) raise to the power (12*2)
PV = $17,138.48
Next, we can use the present value of the final car value to calculate the payment amount. We'll assume a 12-month payment period.
PMT = PV x (r/n) / (1 - (1 + r/n) raise to the power (-nt))
PMT = $17,138.48 x (0.079/12) / (1 - (1 + 0.079/12) raise to the power (-122))
PMT = $773.76
Therefore, the monthly payment for a 2-year lease at 7.9% interest with a final car value of $19,785 would be $773.76.
To know more about interest visit :-
https://brainly.com/question/25793394
#SPJ1
HELP ILL GIVE BRAINLY (put number whatever is… then give the answer ) THANKSSS
Answer:
19)$33
20)1/3 or if u make like denominators 1/6 because they already did 3/6 and 2/6 leaving 1/6
21)0.40
22)0.6
23)0.80
24)0.70
Functions
Question 22 of 25
True or false: f(x) is a function.
8
12
O A. False
OB. True
SUBMIT
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
Read more on graphs:
https://brainly.com/question/19040584
#SPJ1
Please help its vocab matching
Answer:
1. S
2. G
3. I
4. O
5. P
6. D
7. C
8. F
9. J
10. Q
11. E
12. K
13. R
14. A
15. B
16. N
17. M
18. L
19. H
Step-by-step explanation:
4. O
→ 3 is a coefficient of 3x
5. P
→ 3 is a common factor in the expression 3x+9
6. D
→example of a constant term is 1,3,10
7. C
→ \(cosx=\frac{adjacent}{hypotenuse} =\frac{A}{H}\)
8. F
→\(x^{2} -4\) will be factorised as (x-2)(x+2)
9. J
→ example of an expression is \(2x+9\)
10. Q
→ factors of 3 are 3×1.
11. E
→ example of factoring is \((x+2)(3x+4)\)
12. K
→ example of a factored completely is \(2x(x+y)\)
14. A
→example of a polynomial is \(3yx^{3} +xy^{2} -2x+9\).
15. B
→ example of a quadratic expression is \(x^{2} +6x-9\).
17. M
→ \(sinx=\frac{opposite}{hypotenuse} =\frac{O}{H}\)
18. L
→ \(tanx=\frac{opposite}{adjacent} =\frac{O}{A}\)
19. H
→ example of a term is 2x,3,40
Write three dollars and 65 cents
as an improper fraction (and then reduce).
Answer:
300/65
Step-by-step explanation:
Answer:
3 65/100 then the simplified version is 13/20
Step-by-step explanation:
WILL GIVE BRAINLIEST (URGENT)
Answer:
C
Step-by-step explanation:
Answer:
C 1/5 is the coorect answer
Step-by-step explanation:
What is the factorization of the polynomial below ? 16x2 -9
Answer:
(4x + 3)(4x - 3)
Step-by-step explanation:
I am going to assume by 16x2 -9 you mean 16x² - 9
The factorization means the factors are "broken" up. If you multiply them together, we will reach 16x² - 9 again.
First, we can look at factors of 9. This gives us 1, 3, and 9. We will use 3. Since the nine is negative, one will be + 3 and one will be - 3 since a negative times a positive is a negative.
( + 3)( - 3)
Last we can factor the 16x² portion. I know that 4 times 4 is 16, and 4x times 4x is 16x².
(4x + 3)(4x - 3)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
The image of B translated using (x + 2, y + 3) would have what coordinates?
Answer:
(5, 4)
Step-by-step explanation:
(x + 2, y + 3)
Substitute x and y for that of B's position.(3 + 2, 1 + 3)
(5, 4)
Answer:
B' (5, 4 )
Step-by-step explanation:
the translation rule (x, y ) → (x + 2, y + 3 )
means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then
B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )
A coach of a baseball team orders hats for
the players on his team. Each hat costs
$9.95. The shipping charge for the entire
order is $5.00. There is no tax on the order.
The total cost of the coach's order is less
than $125.00. Which inequality can be
used to determine the greatest number of
hats, h, the coach orders?
Answer:
9.95h + 5 ≤ 125
Step-by-step explanation:
let 'h' = number of hats
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
Learn more about mean absolute deviation at: https://brainly.com/question/447169
#SPJ1
PLEASE ANSWER - PLEASE ANSWER
The diagram shows triangle ABC. ABC and BED are straight lines. AB = 12.2cm, CD = 5.8cm, BE:ED = 3:1, Angle ADB = 90°, Angle ABD = 38°.
Work out the size of angle DCE, correct to 1 decimal place. SHOW ALL WORKING IN TEXT FORM, NO IMAGES.
The measure of angle DCE in this problem is given as follows:
m < DCE = 22.5º.
How to obtain the measure of angle DCE?The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.
The three trigonometric ratios are given as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:
cos(38º) = DB/12.2
DB = 12.2 x cosine of 38 degrees
DB = 9.6 cm.
BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:
DE = 1/4 x 9.6
DE = 2.4 cm.
Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:
tan(x) = 2.4/5.8
x = arctan(2.4/5.8)
x = 22.5º
m < DCE = 22.5º.
More can be learned about trigonometric ratios at brainly.com/question/24349828
#SPJ1
Answer:
x = 22.5°
Step-by-step explanation:
BD = cos(38)*12.2 = 9.61DE = 9.61*¼ = 2.4∠DCE = tan(2.4/5.8) = 22.5°Use the Distributive Property and simplify the expression.
6 + 4(3x– 2) +5
a 3x + 13
b 12x + 3
c 7x + 9
d 12x + 9
Answer:
12x+3
Step-by-step explanation:
Find the value of x
8,
9,
7,
10
The value of x in this problem, considering the intersecting chords, is given as follows:
x = 10.
How to obtain the value of x?A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
Hence the value of x is obtained as follows:
12x = 15 x 8
12x = 120
x = 10.
More can be learned about the chords of a circle at brainly.com/question/16636441
#SPJ1
15. The solutions to (x+4)2 - 2 = 7 are
1) -4+ 5
3) -1 and -7
2) 4+ 5
4) 1 and 7
I
Answer:
Step-by-step explanation:
(x + 4)^2 - 2 = 7 simplifies to
(x + 4)^2 = 5
We must isolate x. To do this, take the square root of both sides, obtaining:
x + 4 = ±√5
There are two roots/solutions. They are:
x = -4 + √5 and x = -4 - √5
You must include the square root operator (√). Use " ^ " to denote exponentiation.
The solutions to the given equation (x + 4)² - 2 = 7 when calculated are; 1 and 7
How to Solve Algebra Problems?We are given the equation as;
(x + 4)² - 2 = 7
Add 2 to both sides to get;
(x + 4)² = 9
Find the square root of both sides to get;
x + 4 = ±3
Thus;
x = 3 + 4 and x = -3 + 4
x = 1 and 7
Read more about Algebra at; https://brainly.com/question/4344214
#SPJ2
A cold water pipe can fill a swimming pool in 4 hours, and a hot water pipe in 6 hours. If cold water pipe is turned on and hot water pipe is turned on 3 hours later then how long will it take them to fill the pool together?
answer = 5
Step-by-step explanation:
A cold water pipe can fill a swimming pool in 4 hours
And a hot water pipe in 6 hours.
If cold water pipe is turned on and hot water pipe is turned on 3 hours later
6-4 = 2
2+3 = 5
5 answer
Answer:
0.6 of an hour
Step-by-step explanation:
A cold pipe takes 4h hours so we can assume ¼ of our job is done in one hour.
After 3 hours go by with the cold pipe on, we have ¼ of the job left.
Now we have our hot pipe, which takes 6 hours for the entire pool, so we can assume that it has a rate of ⅙ per hour. Now since these two pipes are working together we can add them.
⅙ + ¼ = ⁵/₁₂
Now we divide.
Since at the start 3 hours had gone by with the cold pipe that would have been ¾ of our time so, 1 - ¾ = ¼
¼ ÷ ⁵/₁₂ = ⅗ or 0.6 of an hour
calculate an estimate for 491/52.1
Answer: 9
Step-by-step explanation: 9, bcause the answer is 9.424184261. So i took nine and thought 9 or 9.1? the net number is 4 so we keep 9.
The estimate of 491/52.1 is 9
How to estimate the valueNote that there is a division sign
Find the value by dividing 491 by 52. 1
= 491 ÷ 52. 1
= 9. 4241
Only number greater or equal to 5 can add up as 1 in approximation and 4 is less than 5
The approximate value of 9. 4241 is 9
Thus, the estimate of 491/ 52.1 is 9
Learn more about approximation here:
https://brainly.com/question/10171109
#SPJ9
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
Assume that adults have IQ scores that are normally distributed with a mean 105 of and a standard deviation 20 . Find the probability that a randomly selected adult has an IQ between 88 and 122 .
Answer:
0.6048
Step-by-step explanation:
Given the following :
Assume a normal distribution :
Mean (m) = 105
Standard deviation (sd) = 20
Find the probability that a randomly selected adult has an IQ between 88 and 122 .
Z = (x - m) / sd
For IQ score of 88:
Z = (88 - 105) / 20
Z = (-17) / 20
Z = - 0.85
For IQ score of 122:
Z = (122 - 105) / 20
Z = (17) / 20
Z = 0.85
P(-0.85<Z<0.85) = P(Z < 0.85) - P(Z < - 0.85)
P(-0.85<Z<0.85) = (0.8023 - 0.1977)
P(-0.85<Z<0.85) = 0.6048
Choose and answer and tell me why you chose that !!
Answer:
A
Step-by-step explanation
I chose this answer because Y and B have the same angle degree and because Y and B are the same angle on both triangles. To me it seems as though ABC and XYZ are the same triangles.
how do I type in greater than in my computer
Answer:
hold shift then press the lil right arrow next to the question mark
Step-by-step explanation:
Answer:
shift + >
Step-by-step explanation:
Hope this helps
David cut a board 20 foot long into four equal pieces. Which expression does NOT equal the length of one of the pieces in feet? Responses
The expression that does not equal the length of one of the pieces in feet is C) 4/20
How to find the expression ?The expression that show the length of one of the pieces of feet would be the expressions that lead to the solution:
= Length of board cut by David / Number of equal pieces
= 20 / 4
= 5 ft each
Option A mirrors the equation above and so is equal to the length of one of the pieces. Option B also equals the equation above as the signs ÷ and / are both for division.
Option C does not equal the length of one of the pieces as it gives:
= 4 / 20
= 1 / 5 ft
Find out more on expressions at https://brainly.com/question/14655835
#SPJ1
Options for this question are:
A)20/4
B)20 ÷ 4
C)4/20
Skylar went shopping for a new video game. To find the total plus tax, she multiplied the price of the video game by 1.0775. What percent tax did she pay?
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
Help please show your work please
Using Subtraction, At least 15 more people are required to register for the swimming class to held.
What does math subtraction mean?To remove anything from a set or a group of items in mathematics is to take that item away. The total number of elements in the group decreases or decreases when we subtract from it.
What different types of subtraction are there?There are actually three methods to understand subtraction: taking away. Part-whole. Comparison.
Given:
No. of people required to start the class = 24
no. of people registered = 9
Therefore no. of people required = 24 - 9
= 15 people
To learn more about subtraction click on the link below:
https://brainly.com/question/25421984
#SPJ13
Solve the system of equations
1/2x+6y=12
y=x+15
Please I need help. Also if you know the answer could you help me learn how to solve it?
Answer:
x=-12,y=3
Step-by-step explanation:
1/2x+6y=12
y=x+15
since y=x+15
substitute y in first equation, we have
1/2x+6(x+15)=12
open the bracket
1/2x+6x+90=12
1/2x+6x=12-90
x/2+6x= -78
13x/2=-78
13x=2×-78
x=-12
Now x=-12, put x=-12 in the second equation, we have
y=x+15
y=-12+15
y=3
hope it helps
Answer:
x=-8, y=2
Step-by-step explanation:
if 1/2x+6y=12 then 1/2x+y=2 and x+y=1 and y=1-x..if y=1-x then 1-x=x=15 and 2x=16 so x=8 if x=8 then 1/2(8) +6y=12 or 4=6y=12.. then 2y=4 and y=2
A couple ordered 50 ounces of pate for their engagement party of 36 people. The pate was such a hit that the couple has decided to serve it again at their wedding reception. How many ounces of pate should they order for 296 people?
The quantity of ounce of pate they should order for the 296 people which will be present for their wedding reception would be = 411.1 ounce.
How to calculate the quantity of ounce of pate?The quantity of ounce ordered for 36 people = 50 ounce.
Therefore the quantity of ounce that will be enough for 296 people = X ounce.
Make X ounce the subject of formula;
X ounce = 296 × 50 /36
= 14800/36
= 411.1 ounce.
Learn more about division here:
https://brainly.com/question/25289437
#SPJ1
write and solve an inequality to find the possible values of x
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
Read more about inequality at
https://brainly.com/question/32124899
#SPJ1
[PHOTO] Please help me need this done by tomorrow thank you!
9514 1404 393
Answer:
x = 28
Step-by-step explanation:
The marked angles are supplementary, so you have ...
(3x +10) +(3x +2) = 180
6x +12 = 180 . . . . . . . . . . simplify
x +2 = 30 . . . . . . . . divide by 6
x = 28 . . . . . . . subtract 2
__
Additional comment
You might generally solve a 2-step linear equation by doing the subtraction first, then the division by the coefficient of the variable. If all of the numbers are a multiple of that coefficient, I like to do the division as soon as I can. That way, the numbers I'm working with are as small as possible, and once I isolate the variable term, I have the answer.
The obtuse angle (on the left) is 94°; the acute angle is 86°.
Factor 24m6−30m4−45m3.
Answer:
3m³(8m³-10m-15)
Step-by-step explanation:
Assuming the question isn't asking for factoring over the complexes,
24m⁶−30m⁴−45m³
3m³(8m³-10m-15)
A triangle has one 30° angle, an unknown angle, and an angle with a measure that is twice the measure of the unknown angle. Find the measures of the triangle's unknown angles and explain how you found the answer.
The measures of the triangle's unknown angles will be 50° and 100°.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
A triangle has one 30° angle, an unknown angle, and an angle with a measure that is twice the measure of the unknown angle.
Let 'a' and 'b' be the unknown angles of the triangle. Then the equation will be
∠a = 2 ∠b
We know that the angle sum of the triangle is 180°. Then the equation will be
∠a + ∠b + 30° = 180°
2∠b + ∠b = 150°
3∠b = 150°
∠b = 50°
Then the measure of the angle 'a' will be
∠a = 2 ∠b
∠a = 2 x 50°
∠a = 100°
The measures of the triangle's unknown angles will be 50° and 100°.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ1
can someone help plsss ??
Using congruent angles theorem, we can find that the angles that are adjacent to ∠LSP are ∠4 and ∠6.
What are congruent angles?Angles with an equal measure are considered congruent angles. They appear everywhere, including in isosceles and equilateral triangles, as well as when a transversal connects two parallel lines.
The term "adjacent angles" refers to angles that do not overlap but share a common arm (side). When two rays intersect at a shared endpoint, an angle is created. Angles that are always located next to one another are called neighbouring angles. Two neighbouring angles are referred to as a linear pair of angles when their sum is 180 degrees.
Now, according to the question,
The angles that are adjacent to ∠LSP must share a common vertex and a common arm.
Now, the common arm between ∠4 and ∠LSP is line LM.
The common arm between ∠6 and ∠LSP is line NP.
And all have a common vertex.
Hence, the angles that are adjacent to ∠LSP are ∠4 and ∠6.
To know more about congruent angles, visit:
https://brainly.com/question/16448127
#SPJ1