Monthly Payments:1) A new car is purchased and a $20,000 loan is taken. The loan is for 5 years (60 months) and the interest rate is 7,9%compounded monthly. What is the monthly payment?
Answers
The monthly payment is $160.82
Explanation:Parameters:
Principal, P = $20,000
Time, T = 5 years
Interest Rate, R = 7.9% = 0.079
Number of times compounded per year, n = 12
We have:
\(\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \\ =20000(1+\frac{0.079}{12})^{12\times5} \\ \\ =29649.2771 \\ \\ Next,\text{ we calculate monthly payment as:} \\ \\ \frac{A-P}{12t} \\ \\ =\frac{29649.2771-20000}{12*5} \\ \\ =160.82 \end{gathered}\)Related Questions
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST
Answers
Answer: 5.50
Step-by-step explanation:
in the figure below, m ABD=95 degrees, and m 1 is 35 degrees
Answers
Answer:
<2 = 30°
Step-by-step explanation:
Let angle 1 = x
Let angle 2 = y
x + y = 95
x = 35 + y Substitute 35 + y for x in x + y = 95
x + y = 95
35 + y + y = 95 Subtract 35 from both sides
y + y = 60 Combine like terms
2y = 60 Divide both sides by 2
y = 30
Helping in the name of Jesus.
Where does the pendulum have the most potential energy
Answers
Answer:
1 because its the most high up.
Step-by-step explanation:
The higher a ball is, it has mor e potential energy plz mark brainliest if correct
Fill in the blanks to solve this equation
Answers
Answer:
Step-by-step explanation:
Evaluate 25-4x when x=2 and when x =3
Answers
Answer:
the answer is 17
Step-by-step explanation:
substitute x = 2 into the expression
25 - 4 x 2
multiply the numbers 4 x 2
25 - 8
subtract the numbers 25 - 8
17
Tammy owns a laptop computer she paid $1,200 for about two years ago. Today, she
thinks she could sell it for about $700. She also has a car worth $2,900 on which she still
owes $800 and that will be paid off next year. How much is her net worth?
Answers
Answer:
\(Net\ Worth = \$2800\)
Step-by-step explanation:
Net worth is calculated using;
\(Net\ Worth = Assets - Debts\)
In this question, we have:
\(Laptop = \$1200\) --- 2 years ago
\(Laptop = \$700\) --- presently
\(Car = \$2900\)
\(Debt = \$800\)
Only the current worth of the laptop will be considered;
So, we have:
\(Assets = Laptop + Car\)
\(Assets = \$700 + \$2900\)
\(Assets = \$3600\)
\(Net\ Worth = Assets - Debts\)
\(Net\ Worth = \$3600 - \$800\)
\(Net\ Worth = \$2800\)
Tammy's net worth from the laptop computer and car is $2600
Cost of the laptop computer two years ago = $1200
Worth of the laptop computer today = $700
Laptop Asset = $1200 - $700
Laptop Asset = $500
Car worth = $2900
Tammy still owes $800 on the car
Debt = $800
Car Asset = $2900 - $800
Car Asset = $2100
Tammy's net worth = Laptop Asset + Car Asset
Tammy's net worth = $500 + $2100
Tammy's net worth = $2600
Tammy's net worth is $2600
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For what values of x does the graph of f(x) have a horizontal tangent? (Enter your answers as a comma-separated list.)
f(x) = x³ + 7x² + x + 1
X=
Answers
The point in which f(x) have a horizontal tangent are (-7 + √46)/3, (-7 - √46)/3
What values of x does f(x) have a horizontal tangentTo find the values of x where the graph of f(x) has a horizontal tangent, we need to find where the derivative of f(x) is equal to zero (since the derivative gives the slope of the tangent line).
First, we find the derivative of f(x):
f'(x) = 3x² + 14x + 1
Next, we set f'(x) equal to zero and solve for x:
3x² + 14x + 1 = 0
Using the quadratic formula, we get:
x = (-14 ± √(14² - 431)) / (2*3)
x = (-14 ± √(184)) / 6
x = (-14 ± 2√46) / 6
Simplifying:
x = (-7 ± √46) / 3
Therefore, the values of x where the graph of f(x) has a horizontal tangent are (-7 + √46)/3 and (-7 - √46)/3.
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Triangles WILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
Which of the following sides are congruent?
Answers
Answer:
In these two parallelograms, the sides that are same are:
ST = WX
TU = XY
UV = YZ
SV = ZW
Therefore according to the question, the correct option is
d) ST = WX
If my answer helped, please mark me as the brainliest!!
Thank You!
Write the quadratic function in the form y = a(x - h)^2+ k. (10Points)
Answers
Answer:
D is the correct option.
Step-by-step explanation:
y = x^2 -14x + 39
take 1/2 of the x coefficient (-14) square it then add it and subtract it :
x^2 - 14x + 49 - 49 + 39 Now reduce the three Left terms
(x-7)^2 - 49 +39 simplify the R portion
y = (x-7)^2 - 10 This process is called 'completing the square'
I will give 40 points to the person who has the awnser and work solved to all 5 questions
Answers
Answer:
4w+6h-h
4w+5h
7y+4y
11y
6x+3y+5x
11x+3y
5x+12d-2x+4d
3x+16d
3x^2+6y+5x^2+2x
8x^2+6y+2x
Let me know if this helps!
Answer:
A, D,and E
Step-by-step explanation:
Help fast
Line d is parallel to line c in the figure below.
Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.
Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.
Answers
The correct statements about the figure are:
(B) In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
(C) Vertical angles prove that Angle 3 is congruent to Angle 6.
(D) The triangles are similar because alternate interior angles are congruent.
How to explain the informationVertical angles are formed when two lines intersect, and they are always congruent.In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Similarly, vertical angles are formed when two lines intersect, and they are always congruent. Here, vertical angles are Angle 3 and Angle 6, which means they are equal.
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a salesman earns 25% commission he sells amount to 2450 shillings after giving a buyers 2% discount . calculate his commission. Suppose all the goods were sold at marked price , what would be is earnings?
Answers
Answer:
Step-by-step explanation:
A) Commission = 2450 shillings * 25 % = 2450 shillings * (25/100) = 2450 shillings * (0.25) = 612.50 shillings
Commission = 612.50 shillings
B) If the total sale is 2,450.00 shillings, after the seller gives buyers a 2% discount. We must re-enter the discount:
2,450.00 shillings = X - X * 2% = X - 0.02 X --->
------> 0.98 X = 2,450.00 shillings
------>X= 2,450.00 / 0.98
------> X = 2,500.00 shillings
NEW COMMISSION = 2,500.00 shillings * 25 % = 2,500.00 shillings *(25/100) =2,500.00 shillings * (0.25) = 625 shillings
NEW COMMISSION = 625 shillings
Need this soon please - Select the correct answer.What is the inverse of functionf(x)=√x + 7
Answers
GIVEN:
We are given the following function;
\(f(x)=\sqrt{x}+7\)Required;
To find the inverse of the function.
Step-by-step solution;
To solve for the inverse of a function f, we begin by re-writing the function as an equation in terms of y. We now have;
\(\begin{gathered} f(x)=\sqrt{x}+7 \\ \\ Becomes: \\ \\ y=\sqrt{x}+7 \end{gathered}\)Next step we switch sides for x and y variables and then solve for the y variable as shown below;
\(\begin{gathered} y=\sqrt{x}+7 \\ \\ Becomes: \\ \\ x=\sqrt{y}+7 \\ \\ Solve\text{ }for\text{ }y; \\ \\ Subtract\text{ }7\text{ }from\text{ }both\text{ }sides: \\ \\ x-7=\sqrt{y} \\ \\ Square\text{ }both\text{ }sides: \\ \\ (x-7)^2=(\sqrt{y})^2 \\ \\ (x-7)^2=y \end{gathered}\)We now re-write in function notation. Take note however that this is the inverse;
\(\begin{gathered} Where\text{ }y=(x-7)^2 \\ \\ f^{-1}(x)=(x-7)^2 \end{gathered}\)Therefore,
ANSWER
\(f^{-1}(x)=(x-7)^2\text{ };for\text{ }x\ge7\)The correct answer is option A.
A grocery store charges $3.25 per gallon of fruit juice. The total cost c of g gallons of fruit punch is equal to 3.25 times g. The rule is
3.25g.
Fill in the table below using the rule to find the total cost of buying 2, 3, or 4 gallons of juice.
Answers
Step-by-step explanation:
To find the total cost of buying 2, 3, or 4 gallons of juice, we can use the given rule:
c = 3.25g
Plugging in g = 2, 3, or 4, we get:
c(2) = 3.25(2) = 6.50
c(3) = 3.25(3) = 9.75
c(4) = 3.25(4) = 13.00
So the total cost of buying 2 gallons of fruit punch is $6.50, the total cost of buying 3 gallons is $9.75, and the total cost of buying 4 gallons is $13.00.
The table can be filled as follows:
| Gallons of juice (g) | Total cost (c) |
|---------------------|----------------|
| 2 | $6.50 |
| 3 | $9.75 |
| 4 | $13.00 |
Question 5 of 10
When a scientific calculator shows the quantity below, what does it mean?
1.5E8
OA. 1.5x 10°
OB. 1x5¹
O C. 5x1¹
D.
8¹⁰
SUBMIT
L
Answers
Which of the following represents the opposite of -|-8|?
Answers
Answer:8
Step-by-step explanation:
If I remember correctly, if the numbers are inside the lines like these || that means absolute value. So the negative sign would cancel out and the one on the outside would carry over, making it a -8. The opposite of -8 is 8.
There are 44 students in the band . If eleven of them own their own instrument, what percent do NOT own their own instrument?
Answers
Answer:
75%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
You can tell since it is 11/44 as a fraction and if there are 4 11's, it will be 44 and a percent that is equal to 100 but has four "places" is 25%
The graph represents the piecewise function: f (x) ={ , if -3
Answers
The domain and the range of the function are
Domain = (-∝, ∝)Range = (0, ∝)How to determine the domain and range of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph is a piecewise function
When combined gives an absolute function
The rule of a function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is greater than the constant term
In this case, it is 0
So, the range is y > 0
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Question
The graph represents the piecewise function:
f(x) =
What is the domain and range of the function
Please help!!!
The purple shape is a dilation of the black shape. What is the scale factor or the dial action?
Answers
Answer:
I belive it would be 1/5. ;;;
Evaluate each expression given that a =-5, b=2 and c=1
b) b-a+c
c) 2b+6c
d)abc
e) -2ab/c
Answers
Answer:
Given
a=-5
b=2
c=1
i) b - a + c
= 2 -(-5) + 1
=2 + 5 + 1
=8.
ii)2b + 6c
= 2(2) + 6(1)
=4 + 6
=10.
iii) abc = (-5)(2)(1)
= -10.
iv) -2ab/c
= -2(-5)(2)/1
= 20.
At 50 minutes how far is the winning runner use ur equations
Answers
Answer:
3.5 km
Step-by-step explanation:
pls help me
Decide whether it is possible for a triangle to have the three angle measures or three side lengths given.
If it is possible, then decide whether all such triangles are congruent.
Answers
Answer:
no
no
no
yes yes
Step-by-step explanation:
not 100% but it should be right
Find the product of ¾ and 1⅓ a)0 (b)1 (c)12 (d)1⁵/7
Answers
The value of the product of the number as given in the task content is; Choice B; 1.
What is the value big the product of the values; ¾ and 1⅓?It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.
To effectively multiply, we must convert the mixed number to a fraction as follows;
1⅓ = 4/3.
Hence, the product is; 4/3 × 3/4 = 12/12 = 1.
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Enter the ratio as a fraction in lowest terms.
5 ft to 70 in.
Answers
Answer:
1/14
Step-by-step explanation:
The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14
find midpoint of the segment (−8,7) and (0,1)
Answers
Answer:
(-4,4)
Step-by-step explanation:
Max and Leah each have a lemonade stand . Max sold 12 glasses the first hour and 10 glasses each hour after that . Leah sold 8 glasses the first hour and 10 glasses each hour after that . How many glasses will each person have sold after 5 hours?
Answers
Answer:
max wil sell 52 because the first hour he sold 12 5hours -1 hour = 4 hour
4 hour × 10 p/h= 40
max sold 12+40 =52
leah will sell 58 because the first hour she sold 8
5hours - 1hour = 4 hours
4hours× 10 glasses p/h = 40
leah sold 40+8 =48 glasses
If Max and Leach sold 10 glasses each hour then after Max sold 52 glasses after 5 hours and Leach sold 48 glasses after 5 hours because it forms arithmetic progression.
What is an arithmetic progression?It is a type of sequence in which each number have a common difference from the other number. The nth term of an arithmetic progression can be calculated as a+(n-1)d.
How to calculate nth term of an A.P.?For Max we have been given that the first term is 12 and the common difference is 10.
After 10 hours the glasses which Max will sell as 12+(5-1)*10
=12+40=52 glasses
For Leach we have been given that the first term is 8 and the common difference is 10.
After 5 hours the glasses which Leach will sell as 8+(5-1)*10
=48 glasses.
Hence the number of glasses will be 52 and 48 glasses for Max and Leach.
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A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
Answers
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
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A garden is to designed with a rectangular part in the middle with two semi-circles on the ends.
The dimensions of the rectangular portion are 18.4 feet long and 8.6 feet wide.
a) What is the area of one semi-circle at one end?
b) What is the area of the garden?
c) Find the area in square metres.
Answers
Given statement solution is :- a) The area of one semi-circle at one end is 58.09 square feet.
b) The area of the garden is 274.42 square feet.
c) The area in square metres is approximately 58.09 square feet.
The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.
a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.
Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.
Now we can calculate the area of the semi-circle:
A = (π * 4.3²) / 2
A ≈ 58.09 square feet
b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.
Area of the rectangular portion = length * width
Area of the rectangular portion = 18.4 feet * 8.6 feet
Area of the rectangular portion ≈ 158.24 square feet
Area of the two semi-circles = 2 * (area of one semi-circle)
Area of the two semi-circles ≈ 2 * 58.09 square feet
Area of the two semi-circles ≈ 116.18 square feet
Total area of the garden = area of the rectangular portion + area of the two semi-circles
Total area of the garden ≈ 158.24 square feet + 116.18 square feet
Total area of the garden ≈ 274.42 square feet
c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.
Area in square meters = Total area of the garden * (0.3048)²
Area in square meters ≈ 274.42 square feet * 0.3048²
Area in square meters ≈ 25.49 square meters
Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.
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Which list of fractions is in order from smallest to largest
A. 3/10, 3/5, 3/4, 3/12
B. 3/4, 3/5, 3/10, 3/12
C. 3/5, 3/4, 3/12, 3/10
D. 3/12, 3/10, 3/5, 3/4
Answers
Answer: D. 3/12, 3/10, 3/5, 3/4
Step-by-step explanation:
The denomination decreases every time making the fraction bigger