Based on the provided information, the APR is 71.4%.
Annual Percentage Rate (APR) is defined as the interest rate which is charged by a lender on an annual basis, expressed in the form of a percentage. The formula for APR is given by
APR = (((Interest Charge+Fees)/(Loan Principal))/(Number of days in loan term)) * 365 * 100
The finance terms in the given case is $29.99 per week for 73week. Hence,
Total amount paid = 29.99*73 = $2,189.27
Loan principal = $1,095
Interest charged = Total amount paid – Loan principal amount = 2,189.27 – 1,095 = $1,094.27
Fees = 0 (as it not mentioned in the question)
Number of days in loan terms = 73*7 = 511 days
Substituting the values in the formula,
APR = ((1094.27/1095)/511) * 365 * 100
APR = 71.4%
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Pls help me with math
The correct expression to represent the similarity of these two triangles is,
21/35 = x/30.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know two triangles are similar if the ratio of their corresponding sides is equal.
Therefore, The correct way to represent the similarity is,
21/35 = x/30.
We can solve for x here,
35x = 21×30.
5x = 3×30.
x = 3×6.
x = 18.
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PLEASE HELP ME!! Will give branliest!! Pleaseee
Answer:
X:6.7
Y:17
Z:33
Step-by-step explanation:
Because their similar to each other, the corresponding angles are equal.
5y-3=82
5y=85
y=17
Angle J=angle M=z=180-82-65=33
3x-2=18.1
3x=20.1
x=6.7
Answer:
x = 6.7
y = 17
z = 33°
Step-by-step explanation:
To find x:
Because IJK≅LMN, you know that 3x-2 = 18.1
3x-2 = 18.1
Add 2 to both sides:
3x-2+2 = 18.1+2
3x = 20.1
Divide both sides by 3:
3x/3 = 20.1/3
x = 6.7
To find y:
5y-3 = 82
Add 3 to both sides:
5y-3+3 = 82+3
5y = 85
Divide both sides by 5:
5y/5 = 85/5
y = 17
To find z:
Because all triangles angles must add up to 180, find 180-82-65:
180-82-65 = 33 degrees
Because IJK≅LMN, z = 33 degrees
simplify the following algebraic expression 5x– 4у + 3y+8y – 7х
Answer:
-2x + 7yStep-by-step explanation:
Given,
5x– 4у + 3y+8y – 7х
[Bringing like terms together]
= 5x - 7x - 4y + 3y + 8y
[Adding and subtracting the like terms]
= - 2x + 7y (Ans)
Click on the assignment icon to receive a printout of this construction assignment. Do the assignment and be ready to give it to your teacher for grading if it is requested.
The Construction is shown below.
What is Perpendicular line?Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Given:
a) Steps for perpendicular line:
To cross the line segment, draw two arcs.Create two more intersecting arcs.Connect the initial point to the intersection of the arcs.b) Perpendicular Bisector for triangle
Draw arcs with the same radius that are centered at X and Y by opening the compass more than halfway.These two arcs come together at two locations. They will be referred to as points P and Q.The line segment M, which is the perpendicular bisector of the line segment S, should be drawn by placing the ruler where the arcs meet (that is, by connecting points P and Q).we are going to proceed in the same way on all three sides of the triangle to draw its three perpendicular bisectors (Ma, Mb and Mc)So, if we extend the bisector they can meet inside, at center and outside the triangle.
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how many times bigger is b than c
HELP
Answers available are on the picture
Answer:
[tex]360 = 2\pi \\\\90 = \frac{2\pi }{4} =\frac{\pi }{2} \\\\180 = \pi \\\\270 = \frac{6\pi }{4} = \frac{3\pi }{2}[/tex]
can someone help me?
Answer:
Step-by-step explanation:
The solution is the point where the 2 lines intersect.
If they intersect where x = 1 and y = 2 the solution is (1, 2).
Salma has 4/5 kg of the flour . She wants to bake some cake. She uses 1/8kg of flour for each cake. What is the most number of cakes she can bake?
Answer:
Step-by-step explanation:
Salma has 4/5 kg of the flour . She wants to bake some cake. She uses 1/8kg of flour for each cake. What is the most number of cakes she can bake?
Pls help me with solving systems of linear equations by elimination
Answer:
Step-by-step explanation:
A. 2x = -6
x = -3
3 + y = 5
y = 2
(-3, 2)
-9 - 2 = -11
-11 = -11
3 + 2 = 5
5 = 5
B. 4x + 2y = 1
6x + 4y = 1
-8x - 4y = -2
6x + 4y = 1
-2x = -1
x = 1/2
4(1/2) + 2y = 1
2 + 2y = 1
2y = -1
y = -1/2
-2(-1/2) + 3 = 4(1/2) + 2
1 + 3 = 2 + 2
4 = 4
6(1/2) + 4(-1/2) = 1
3 - 2 = 1
1 = 1
C.
-x + 32y = -25
4x + 8y = 100
-4x + 128y = -100
136y = 0
y = 0
-x = -25
x = 25
(25, 0)
32(0) - 25= -25
-25= -25
5(25) = 100 + 25 - 8(0)
125 = 125
D.
3x + 2y = 6
4x + 5y = -20
-12x - 8y = -24
12x + 15y = -60
7y = -84
y = -12
2(-12) + 3x = 6
-24 + 3x = 6
3x = 30
x = 10
(10, -12)
2(-12) + 3(10) = 6
-24 + 30 = 6
6 = 6
4(10) + 5(-12) + 20 = 0
40 - 60 + 20 = 0
-20 + 20 = 0
0 = 0
Vanessa is building a storage chest in the shape of a rectangular prism. The chest will be 59 cm long, 47 cm deep, and 27 cm high.
What will the surface area of the chest be?
Surface Area Enter your next step here
cm2
Answer:
11270 cm2
Step-by-step explanation:
A = 2(wl+hl+hw)
= 2(47•59+27•59+27•47)
= 11270
How do you find the longest angle?
The longest angle is the straight line, or 180 degrees. To find it, draw two lines so that they form a straight line. Then measure the angle between the two lines using a protractor.
What is angle?Angle is a figure formed by two lines or rays intersecting each other. It is measured in degrees, and is generally represented by the symbol ∠. The lines or rays that form the angle can be extended indefinitely, and the angle can be either acute, obtuse, right, reflex, or full. An acute angle is one that is less than 90°, an obtuse angle is one that is greater than 90°, a right angle is one that is exactly 90°, a reflex angle is one that is greater than 180°, and a full angle is one that is 360°.
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Find the total surface area of a cone with a base diameter of 7cm and height of 8cm
Answer: The formula for the surface area of a cone is S = π * r * s + π * r², where r is the radius of the base and s is the slant height of the cone.
To find the surface area of a cone, you first need to find the radius of the base. Since the base diameter is given as 7cm, you can divide this by 2 to find the radius of the base:
r = 7cm / 2 = 3.5cm
Next, you need to find the slant height of the cone. You can use the Pythagorean theorem to do this.
slant height = sqrt(r^2 + h^2) = sqrt(3.5² + 8²) = sqrt(12.25 + 64) = sqrt(76.25) = 8.766cm
Now you can substitute these values into the formula for the surface area of a cone and find the surface area of the cone.
S = π * r * s + π * r² = π * 3.5cm * 8.766cm + π * 3.5² cm² = 12.571 cm² + 38.485 cm² = 51.056 cm²
So the surface area of a cone with a base diameter of 7cm and height of 8cm is 51.056 cm²
Step-by-step explanation:
can somebody please tell me what is 2,880 as a percentage
Answer:
28.8 thats what i got
Step-by-step explanation
The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases. What does the 10 represent?
A)
The interest the savings account earned for the first year.
B)
The annual interest rate of the savings account.
C)
The number of years the savings account has earned interest.
D)
The starting balance of the savings account.
The 10 represent in the function f(x) = 10(1. 015)* shows the balance in a savings account as time increases is the starting balance of the savings account.
Therefore the answer is D) The starting balance of the savings account.
The compound interest formula is used to calculate the total interest earned on a principal amount over a period of time, where the interest is compounded at regular intervals. The formula is:
A = P(1 + r)^(t)
Where:
A is the final amount (principal + interest)
P is the principal (initial) amount
r is the annual interest rate (expressed as a decimal)
t is the number of years the money is invested or borrowed
The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases.
So 10 represents the principal (initial) amount
0.014 represents the annual interest rate (expressed as a decimal)
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Giving 30 points to who answers
Answer:
46
Step-by-step explanation:
A car travels at an average speed of 68 miles per hour. How long does it take to travel 357 miles?
Is 4x² 3x 7 a polynomial?
As all the exponents of x are whole numbers, the expression 4x² – 3x + 7 is a polynomial in one variable.
What is exponents?The exponent of a number shows how many times the original value of the number has been multiplied. For example, the number 34 indicates that we have multiplied three by four. 3 × 3 × 3 × 3 × 3 is its expanded form. Exponent is another term for a number's power. It might be a decimal, a fraction, a negative number, or a whole number.
Exponents are important because without them, writing the product when a number was repeated many times on its own would be very difficult. For example, it is much easier to write 57 than it is to write 5 × 5 × 5 × 5 × 5.
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simplify 3a - 2(8 +4a)
help pleaseeeeee
Answer:
-5a - 16
Step-by-step explanation:
Mark as Brainllest
Find the product using any method. (Need some help!!)
Answer:
2n^2-8n-24
Step-by-step explanation:
Uhm i just did this one with one of my classmates like 2-3 months ago so it just came to mind.
Hope this helped tho! :)
a plant normally sells $6.50. today all plants are discounted by 25%. What is the sale price of the plant ?
Answer:
100% -> 6.50
100 - 25 = 75
75% -> 6.50/100 x 75
= 4.875
≈ 4.88
Answer:
$4.875 or if rounded $4.88
Step-by-step explanation:
Hope this helped
also u just have to subtract 6.50 by 25%
Kenneth opened a savings account and deposited $300.00 as principal. The account earns
14% interest, compounded annually. What is the balance after 8 years?
Use the formula A = P1+
P(1 + r/n)", where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
$855.78
Step-by-step explanation:Interest, in this context, is the amount of money a saving account can earn over time.
Compound Interest Formula
There are 2 types of interest: simple and compound. For this question, we are going to use the compound interest formula. This formula is [tex]A = P(1+\frac{r}{n})^{nt}[/tex]. As stated in the question, A is the total balance, P is the principal, r is the interest rate, n is how often the interest is compounded, and t is time.
Variables
The values of these variables for this question are as follows:
P = 300.00The principal is the initial amount, and the question states that the account starts at 300 dollars.
r = 0.14The question says the interest rate is 14%, so we can convert this to the decimal 0.14.
n = 1If something is compounded annually, it is compounded once a year, so n must be 1.
t = 8If we want to find the balance after 8 years, we should set t equal to 8.
Solving for A
To find A, all we have to do is plug the variables into the formula.
[tex]A = 300(1+\frac{0.14}{1})^{1*8}[/tex]This can be rewritten as:
[tex]A=300(1.14)^8[/tex]Solve this to find that A ≈ 855.78. After 8 years, the balance will be $855.78.
you are running a marathon along a straight path. you are approaching mile marker 12 at a speed of 300 feet per minute. you are currently 1500 feet from mile marker 12. write an absolute value equation that models your distance in feet from mile marker 12 after x minutes
Therefore , the solution of the given problem of linear equation comes out to be 1200 = 400x.
What exactly is a linear equation?A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Given:
300 feet per minute
where x is the number of minutes,
The Y is 1200.
Thus,
Taking account of all the above information
We get,
This will give us an equation of 1200 = 400x
Therefore , the solution of the given problem of linear equation comes out to be 1200 = 400x.
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PLEASE ANSWER ITS IMPORTANT
Find the total surface area of a cone of base diameter 7cm and height 8cm
The total surface area of a cone which has a base diameter of 7 cm and height of 8 cm is 126.5 cm ²
How to find the total surface area of a cone ?The total surface area of a cone can be found by the formula :
= (π x radius ²) + (π x radius x height )
Radius is half of diameter so :
= 7 / 2
= 3. 5 cm
The total surface area of the cone is;
= ( π x 3. 5 ²) + ( π x 3. 5 x 8)
= 38 . 5 + 88
= 126.5 cm ²
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A glass fish tank in the shape of a rectangular prism has a bace that measures 22 inches by 12 inches. Find the surface area if the height = 15 inches
Answer:
Surface Area = 2(22 x 15) + 2(12 x 15) + 2(22 x 12)
Surface Area = 660 + 360 + 528
Surface Area = 1,548 inches²
Step-by-step explanation:
which of these decimal numbers is equivalent to 87?
0.87
8.70
87.00
870.0
Answer: if its 87% then its 0.87, but if its 87 then its 87.00
Step-by-step explanation: I'm doing these questions for a challenge :D
cant find the anwer help
Answer:
Wouldn't it be 68,844? Because 12 divided by 3 = 4 and 17,211 x 4 is 68,844. I could be wrong but im sure that im right?
Answer in explanation:
I went over it and your answer seems correct, but the problem says 'how much money, in dollars'
There are 12 months in a year
3 x 4 = 12
17,211 x 4 = 68,844
you wrote 67.844 so possibly changing to a comma would help!
I hope this helps!
g(n)=-3n-4; Find g(-8)
Answer:
g(- 8) = 20
Step-by-step explanation:
substitute x = - 8 into g(x) , that is
g(- 8) = - 3(- 8) - 4 = 24 - 4 = 20
Solve 9x + 3 = -33 . PLEASE HELP ME IT WILL MAKE MY DAY
[tex] : \implies \sf 9x + 3 = - 33[/tex]
[tex] : \implies \sf 9x = - 33 - 3[/tex]
[tex] : \implies \sf 9x = - 36[/tex]
[tex] : \implies \sf x = \dfrac{ - 36}{9} = - 4[/tex]
[tex] \therefore \sf x = -4 [/tex]
What is the area of the quadrilateral below?
15 m
4 m
O A. 30 square meters
OB. 45 square meters
C. 60 square meters
OD. 75 square meters
Answer:
C
Step-by-step explanation:
A = Base x height
Base = 15
height = 4
= 60 square meter
Answer:
it is c because all I did was algarithims so yes it would be c