To calculate the total amount Emilee will pay back under a finance agreement, one needs to know the specifics of the loan. Joanna's example, with a known interest rate and term, shows how to use the present value of an annuity formula to find out the maximum loan and total amount paid over time.
Explanation:The question pertains to calculating the total amount that Emilee will pay back under a finance agreement for her purchase. To determine this amount, one must know the principal amount of the loan, the interest rate, and the term of the loan.
For instance, if Joanna can afford to pay $12,000 a year for a house loan at an annual interest rate of 4.2% for 30 years, one can use the formula for the present value of an annuity to calculate the maximum loan she can afford. The formula is PV = PMT [1 - (1 + i)^(-n)] / i, where PV is the present value (the maximum loan), PMT is the annual payment ($12,000), i is the interest rate per period (4.2% annually), and n is the number of periods (30 years).
By applying this formula, Joanna can afford a maximum loan of approximately $202,556.98. Over 30 years, she will end up paying $12,000 times 30, which equals $360,000 in total. Similarly, to determine the total amount Emilee will repay, the same types of calculations would apply based on the terms of her finance agreement.
Answer: $1308
Step-by-step explanation: APEX
12 monthly payments of $109 = $1308
Solve px+12=17 for X
Answer:
[tex]\large\boxed{B.\ x=\dfrac{5}{p}}[/tex]
Step-by-step explanation:
[tex]px+12=17\qquad\text{subtract 12 from both sides}\\\\px+12-12=17-12\\\\px=5\qquad\text{divide both sides by}\ p\neq0\\\\\dfrac{px}{p}=\dfrac{5}{p}\\\\x=\dfrac{5}{p}[/tex]
Answer:
b x = 5/p
Step-by-step explanation:
px+12=17
Subtract 12 from each side
px+12-12=17-12
px = 5
Divide by p
px/p = 5/p
x = 5/p
y = 2x – 1 and y = x + 3 ?
A.)(4, 7)
B.)(7, 4)
C.)(–7, –4)
D.)infinite solutions
Answer:
A. (4, 7)
Step-by-step explanation:
y = 2x - 1
y = x + 3
y = x + 3
2x - 1 = x + 3
2x = x + 4
x = 4
y = 2x - 1
y = 2(4) - 1
y = 8 - 1
y = 7
i hope this helps !!
For the data set 7,5,10,11,12, the mean,x,is 9. What is the standard deviation
Answer:
It is 2.91547 You could round if you want.
Step-by-step explanation:
Answer: 2.61
Step-by-step explanation:
Given data (x) : 7,5,10,11,12
Mean of the data : [tex]\overline{x}=9[/tex]
Number of data values : n= 5
Now, [tex]\sum (x-\overline{x})^2=(7-9)^2+(5-9)^2+(10-9)^2+(11-9)^2+(12-9)^2[/tex]
i.e. [tex]\sum (x-\overline{x})^2=34[/tex]
Now, the standard deviation for this data is given by :-
[tex]\sigma=\sqrt{\dfrac{\sum (x-\overline{x})^2}{n}}\\\\\sigma=\sqrt{\dfrac{34}{5}}=2.60768096208\approx2.61[/tex]
10×+73=7 solve two step equations by using inverse operations. and use inverse operations to solve the equations
Answer:
x=-67/10
Step-by-step explanation:
What you have to do is first subtract 73 from both sides. that makes it 10x=7-73. That is 10x=-67. Then divide both sides by 10. That is x=-67/10
Can I get brainliest
Answer: x= -67/10 hope it help
Step-by-step explanation:
what is the sum of the interior angle measures of a convex irregular pentagon?
Answer:
540 degrees.
Step-by-step explanation:
The formula for the sum of the interior angles is
S(n) = 180(n - 2) where n = the number of sides.
For a pentagon, with 5 sides it is 180(5 - 2)
= 3*180
= 540 degrees.
Answer:
I think the answer is 540?
Step-by-step explanation:
Fred and Stacey both have books to read over the summer. Fred has read 54 pages and Stacey has read 63 pages. What is the ratio of the number of pages Stacey has read to the number of pages Fred has read?
A.
7:6
B.
54:1
C.
1:54
D.
6:7
The answer is 7:6, meaning that it is A.
Hope this helps!
Answer:
A. 7:6
Explanation:
63:54
both numbers have a gcf and its 9 so,
63:54 simplified is 7:6
Paulo is creating a confidence interval based on sample data for the percentage of Americans that own a dog. His work is shown below.
for some reason it won't let me add in the picture as an attachment or as anything. Basically its like this- E = 1.645 • .452(1-.452)/950
And then all of the .452 etc is in a little square root thing.
Based on Paulo’s work, what conclusion can be drawn from the sample data he collected?
Complete the statement to form the conclusion.
It can be said with
90% confidence that between 42.5% and 47.9% of Americans own a dog.
90% confidence that between 45.2% and 54.8% of Americans own a dog.
95% confidence that between 42.5% and 47.9% of Americans own a dog.
95% confidence that between 45.2% and 54.8% of Americans own a dog.
The answer is (A) but if someone wants to explain why it is (A) that would be awesome
Answer:
A. 90% confidence that between 42.5% and 47.9% of Americans own a dog.
Step-by-step explanation:
edgu 2020
23rd term:0.1,0.15,0.2,0.25
the answer to the 23rd term is 1.20
the working out is shown above in the attachment.
hope this helps
The 23rd term of the sequence [0.1,0.15,0.2,0.25...] is 1.2. This sequence is an arithmetic progression with a common difference of 0.05.
Explanation:This question is about finding the 23rd term in the sequence [0.1,0.15,0.2,0.25...]. This sequence represents a simple arithmetic progression where the typical difference between two consecutive terms is 0.05.
To find the 23rd term, you can use the formula for the nth term, an arithmetic progression, which is a+n*d where a is the first term, n is the term number, and d is the common difference. Therefore, the 23rd term is a + (n-1)*d equals 0.1 + (23-1)*0.05 = 1.2.
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The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the area of the rectangle
Answer:
The answer is 6x^2-8x+2
Step-by-step explanation:
To find the area, you have to multiply the length by the width.
You will get the equation of (6x-2)(x-1). Then, you multiply and find the answer, 6x^2-8x+2.
please help 15 points
What is the closed linear form for this sequence given a1 = 27 and an + 1 = an - 2?
A) an = 14 - n
B) an = 30 + 2n
C) an = 27 + 4n
D) an = 29 - 2n
Answer:
C
Hope This Helps! Have A Nice Day!!
Answer:
D) 29-2n
Step-by-step explanation:
Is 1+4(3x-10)-12x equivalent to -9 ?
After distributing the multiplication and combining like terms, the expression 1+4(3x-10)-12x simplifies to -39, which proves it is not equivalent to -9.
To determine if the expression 1+4(3x-10)-12x is equivalent to -9, we need to simplify the expression first. Let's do that step by step:
Distribute the 4 into the parentheses: 1 + 4*3x - 4*10 - 12x.Simplify the multiplication: 1 + 12x - 40 - 12x.Combine like terms: The 12x and -12x cancel each other out, leaving 1 - 40.Simplify the remaining expression: -39.After simplifying the expression, we end up with -39, which is not equivalent to -9. Therefore, the given expression 1+4(3x-10)-12x is not equivalent to -9.
-0.75-(-2/5)+0.4+(-3/4)
-0.75-(-2/5)+0.4+(-3/4) = -0.7 simplified, how I got this answer can be found below in 16 steps.
1 - First thing we want to do is remove the parentheses.
-0.75 - (-2/5) + 0.4 - 3/4
2 - Then we simplify, multiply -1 by -1.
-0.75 + 1 (2/5) + 0.4 - 3/4
3 - Then multiply 2/5 by 1.
-0.75 + 2/5 + 0.4 - 3/4
4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.
-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4
5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.
-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4
6 - Then we multiply 5 by 1.
-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4
7 - Then we combine the numerators over the common denominator.
-0.75*5+2/5+0.4-3/4
8 - We multiply -0.75 by 5.
-3.75 + 2/5 + 0.4 - 3/4
9 - Then we add -3.75 and 2.
-1.75/5+0.4-3/4
10 - And then we divide -1.75 by 5.
-0.35 + 0.4 - 3/4
11 - Then add -0.35 and 0.4.
0.05 - 3/4
12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.
0.05/1 * 4/4 - 3/4
13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.
0.05 * 4/4 - 3/4
14 - We combine the numerators over the common denominator.
0.05 * 4 - 3 / 4
15 - We simplify.
-2.8 / 4
16 - Then we divide -2.8 / 4
The final answer is -0.7
Find the surface area 12cm 15cm 14cm 14cm
Answer:
1288
Step-by-step explanation:
Triangles on the top have surface area 15*14/2 there are four of them so multiply by four to get 420.
The rectangular sections all have area 12*14 except for the base. There are four of these equal sections, so the combined area is 672.
Lastly, the base has area 14*14, which is 196.
Summing all of these we get 1288
im really really really confusedddd please help uwu
Answer:
17
Step-by-step explanation:
cm/year
cm=34
year=2
34/2=17
97) If the average of 3a and 4b is less than 50 and a is twice b, what
is the largest integer value of a?
a) 8
b) 9
c)10
d)11
The average of [tex]3a[/tex] and [tex]2b[/tex] satisfies
[tex]\dfrac{3a+4b}2<50[/tex]
Then
[tex]a=2b\implies\dfrac{3(2b)+4b}2=5b<50\implies b<10[/tex]
[tex]a=2b[/tex], so if [tex]a[/tex] must be an integer, then the largest integer value it can take on is 19 if [tex]b[/tex] can be a rational number (in which case [tex]b=9.5[/tex]) or 18 if [tex]b[/tex] must also be an integer.
Given that none of the provided answer choices lists 18 or 19, I'd bet there's a typo and you're supposed to find the maximum integer value of [tex]b[/tex], in which case the answer would be B as the largest integer value would be 9.
11yd and 3yd and 3yd
Answer:
if you are multiplying it would be 99
Step-by-step explanation:
multiply 11x3 then musliply that by three
Answer:
if you are multiplying it would be 99
Step-by-step explanation:
multiply 11x3 then musliply that by three
Step-by-step explanation:
find the slope ..................
My work is shown up above.
I think this is the answer.
We can use the points (-2, 3) and (0, 4) to solve.
Slope formula: y2-y1/x2-x1
= 4-3/0-(-2)
= 1/2 (Answer)
Hope This Helped! Good Luck!
Express 120% as a fraction in simplest form
Answer:
6/5
Step-by-step explanation:
120% turns into 120/100 and from there you simply
To convert 120% to a fraction in its simplest form, write it as 120/100 and then simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 20. This results in 6/5.
Explanation:To express 120% as a fraction in simplest form, you first write the value of the percent as a fraction with a denominator of 100. This is essentially how you convert percentages into fractions. This means that 120% becomes 120/100.
Next, you need to simplify this fraction. To simplify a fraction, you find the greatest common factor of both the numerator and the denominator and then divide each by that number. In this case, the greatest common factor is 20, so you divide both 120 and 100 by 20.
Doing so, the fraction becomes 6/5. Therefore, 120% can be expressed as the fraction 6/5 in simplest form.
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PLEASE HELP!!!!
Solve for when f(x)=g(x)
f(x)=5x
g(x)=x^2-10x+1
Answer:
[tex]\large\boxed{x=\dfrac{15-\sqrt{221}}{2}\ or\ x=\dfrac{15+\sqrt{221}}{2}}[/tex]
Step-by-step explanation:
[tex]f(x)=5x\\\\g(x)=x^2-10x+1\\\\f(x)=g(x)\to5x=x^2-10x+1\qquad\text{subtract 5x from both sides}\\\\x^2-15x+1=0\\\\\text{Use the quadratic formula}:\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=-15,\ c=1\\\\b^2-4ac=(-15)^2-4(1)(1)=225-4=221\\\\x=\dfrac{-(-15)\pm\sqrt{221}}{2(1)}=\dfrac{15\pm\sqrt{221}}{2}[/tex]
i am a solution. My number cubed is equal to -64. What number am i?
Answer:
the answer is 4. 4*4 is 16 16*4 is 64
Step-by-step explanation:
How many 1/3 cups servings are in 4 cups
A 1/12
B 3/4
C 4
D 12
Help with 17, 18,34,35 Please
Only one that would make sense is 1/12
A. 1/12 i guess if not than D. 12
in the figure AB is parallel to CD. BC is parallel to AE. angle ABD measures (3x+4). angle BCD measures (6x-8). angle EDF measures (7x-20). what is the degree measure of angle BCD?
Guys I really need ur help. my test is tomorrow and I've been stuck on this question since yesterday. I literally am about to have a mental breakdown
Answer:
The measure of angle BCD is [tex]68.5\°[/tex]
Step-by-step explanation:
step 1
Find the value of x
we know that
[tex]m<ABD+m<BCD+m<EDF=180\°[/tex] -----> form a straight line
substitute the values
[tex](3x+4)\°+(6x-8)\°+(7x-20)\°=180\°[/tex]
[tex](16x-24)\°=180\°[/tex]
[tex]16x=180\°+24\°[/tex]
[tex]16x=204\°[/tex]
[tex]x=12.75\°[/tex]
step 2
Find the measure of angle BCD
[tex]m<BCD=(6x-8)[/tex]
substitute the value of x
[tex]m<BCD=6(12.75)-8=68.5\°[/tex]
Answer:
Step-by-step explanation:
great job!
For every increase one on the ritcher scale an earthquake is 10 times more powerful which of the following models the situation
A.Linear function with a negative rate of change
B. Linear function with a positive rate of change
C. Exponential decay function
D.Exponential growth function
Answer:
D. Exponential Growth.
Step-by-step explanation:
Suppose the equation is y = 10^x which is an exponential function.
When x = 1 , y = 10, when x = 2, y = 10^2 = 100, when x = 3, y = 10^3 = 1000 which is 10 times more powerful for each unit increase of x.
The answer is Exponential growth.
There are many cylinders with a height of 18 meters. Let r represent the radius in meters and V represent the volume in cubic meters.
a. Write an simplified equation (plugging in all know quantities) in terms of (meaning do not
multiply by 3.14 when you simplify) that represents the volume as a function of the radius.
The equation would be: [tex]V(r)=2\pi r \cdot 18[/tex]
Volume V is represented as a function of radius r. Height of a cylinder h is multiplied by the circumference of the cylinder 2πr to result in volume.
Answer:
18pir^2
Step-by-step explanation:
Ruben worked in a union motorcycle factory for 20 years before returning to school to become a paramedic instead. He is 45 now. He has a pension from his previous employer, which would pay him $1500/month after his retirement at 65. Assuming he will live to 80 (which is slightly higher than the life expectancy for an American man) he would earn $270000 over 15 years. The company has stopped offering pensions and wants to buy out his pension today. Should Ruben accept a buyout offer of $125,000? Assume that he could invest the money at an interest rate of 3% with a monthly compounding.
Answer:
Ruben needs a new job
Step-by-step explanation:
the system without any solutions set is called a/an
Answer:
it's called an Expression I believe.
find the area of the parallelogram
28 square units
14 square units
24 square units
48 square units
the answer is to your question is 48
Answer:
48 square units
Step-by-step explanation:
to find areas of unusual figures, we divide the section into more easy figures to find its area, in this case we can divide the parallelogram into two triangles, drawing a line from point D to point B
then we will have two triangles whose area is easier to find,let´s see the AB-BD-DA triangle
[tex]A=\frac{b*h}{2}[/tex]
b= 6 units (from -6 to zero)
h=8 units ( from -4 to 4)
[tex]A=\frac{6*8}{2} =24[/tex] square units
the area of the triangle DC-CB-BD is the same,
it's the same triangle but turned up, so we have a total area
At=24 square units* 2= 48 square units
Have a great day
Please Help!
The base of a triangle is 3 inches shorter than its height. The area of the triangle is 77 square inches. Find the base and the height
Explain Step-by-step please
I need the work
Answer:
The base is [tex]11\ in[/tex] and the height is [tex]14\ in[/tex]
Step-by-step explanation:
we know that
The area of the triangle is equal to
[tex]A=\frac{1}{2}(b)(h)[/tex]
where
b is the base of triangle
h is the height of triangle
In this problem
[tex]b=h-3[/tex] ----> equation A
[tex]A=77\ in^{2}[/tex]
so
[tex]77=\frac{1}{2}(b)(h)[/tex]
[tex]154=(b)(h)[/tex] -----> equation B
Substitute equation A in equation B
[tex]154=(h-3)(h)[/tex]
[tex]h^{2}-3h-154=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]h=14\ in[/tex]
see the attached figure
Find the base b
[tex]b=14-3=11\ in[/tex]
Circle Y has a center at (2,3) and a radius of 4. Circle Z has a center at (2,−3) and a radius of 10. What is the scale factor of all radii of circle Y to all radii of circle Z?
Final answer:
The scale factor of all radii of circle Y to all radii of circle Z is 0.4.
Explanation:
To find the scale factor of all radii of circle Y to all radii of circle Z, we can compare their radii.
Circle Y:
Center: (2,3)
Radius: 4
Circle Z:
Center: (2,-3)
Radius: 10
The scale factor is determined by comparing the radii of the two circles. The radius of circle Y is 4 and the radius of circle Z is 10. To find the scale factor, we divide the radius of circle Y by the radius of circle Z: 4/10 = 0.4.
Therefore, the scale factor of all radii of circle Y to all radii of circle Z is 0.4.
1. The circumference of a circle with diameter of 8 feet is ____?
2. The circumference of a circle with a diameter of 13 centimeters is ____?
3. The circumference of a circle with a radius of 3.5 miles is ____?