Answers
Starting from the bottom point, you go up 7 and go to the right 2, which makes the slop 7/2
Related Questions
A fisherman borrowed 85,000 over 25 years at 13.5% p.a. interest compounded monthly. At the end of the seventh year, interest rate climbed to 15% p.a. compound and fisherman's repayments were increased to allow him to complete the repayments by the end of 25 years term.
a. how much did the fisherman owe at the end of the first 7 years?
b. what were his monthly repayments for remaining 18 years?
c. how much interests in total did the fisherman pay at the end of the 25 years long.
Answers
Rate, i, for the first 7 years = 13.5% = 0.135
Rate, i, for the remaining 18 years = 15% = 0.15
Part (a): Amount owed after 7 years
Without interest rate, monthly payment, Po= 85,000/(12*25) = 283.33
After 7 years, principal amount remaining = 85,000 - (283.33*7*12) = 61,200.
Therefore, the amount owed after 7 years, A2 = 61,200
Part (b): Monthly repayment for the rest of 18 years
Rate, i = 15% = 0.15
Monthly payment, P(18) = A1*D2
D2 = {0.15/12}/{1-(1+0.15/12)^-12*25} = 0.01281
Then,
P(18) = 85,000*0.01281 = 1088.71
Part (c): Total interest paid
I =[ I(7) + I(18)] - A1
I(7) = P(7)*7*12 + P(18)*18*12
Now, P(7) = A1*D1
D1 = {0.135/12}/{1-(1+0.115/12)^-12*25} = 0.01165
Then,
P(7) = 85,000*0.01165 = 990.25
Therefore,
I = [990.25*7*12 + 1088.71*18*12] -85,000 = 318,341.50 -85,000 = 233,341.50
There are 24 students 8 of the students are boys write the amount of boys in the class as a fraction in its simplest form
Answers
1/3 is your answer
So the answer is 1/3.
Hope this helps!
Identifying the Factored Form of a Trinomial Which expression is the factored form of x2 – 7x + 10?
Answers
So what I do in this case:
when the number squared does not have a coefficient in front, I ask myself, what does A times C equal
the answer is 10 --> now what factors of ten, add up to -7 (the factors can be negative and/or positive)
the answer is -2 and -5
so with this, you do: (x-2)(x-5)
there's your answer, i hope that makes sense
A rectangle with opposite sides that are not congruent
Answers
When and why does order matter
Answers
Example:
20 - 6 • 2 = ?
The answer is 8, because you go start with multiplication then you subtract.
But, if you just went straight across without order you would get 24.
Order is necessary for organized and accurate equations that could affect your answer.
P- parenthesis
E- exponents
M- multiplication
D- division
A- addition
S- subtraction
Which is the simplified form of the expression (2^-2) (3^4)^-3 x (2^-3) (3^2) ^2?
A: 1/ 2^36 3^48
B: 1/ 3^8
C: 3^8
D:2^36 3^48
Answers
The answer is D
Just took the test
The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2. Find: Surface area of the pyramid
Answers
Base Area = 36cm^2
Lateral Face Area = 48cm^2
*If this is a quadrilateral pyramid, then it has 4 lateral faces, so just multiply the "one" lateral face by 4.
Lateral Area (AL) = 4 x Lateral Face Area
-> AL = 4 x 48 = 192 cm^2
So:
SA = Ab + AL
-> SA = 36 + 192
-> Surface Area = 228 cm^2
Answer:
228
Step-by-step explanation:
Hannah made 0.7 of her free throws in a basketball game.Abra made 8/10 of her free throws.Dena made 3/4 of her free throws.Who was the best shooter?
Answers
Hope this helps!
0.7 = [tex] \frac{7}{10} [/tex]
Now, let's get them all to a common denominator. 20 is the best choice.
You can use proportions to work this out.
[tex] \frac{7}{10} = \frac{14}{20} [/tex]
We just doubled the bottom; what you do to the bottom, you must do to the top.
[tex] \frac{8}{10} = \frac{16}{20}[/tex]
Once again we doubled the bottom, so we doubled the top as well.
[tex] \frac{3}{4} = \frac{15}{20} [/tex]
We multiplied the denominator by 5 to get it to 20. In order to keep it the same fraction, you must multiply the numerator by 5 as well.
Abra was the best shooter with [tex] \frac{8}{10} [/tex] of her free throws made.
what is the radius of a circle with a circumference 31 m?
Answers
Answer: 62 pi m.
Step-by-step explanation: To find the area of the circle shown, let’s start by writing down the formula for a circle.
A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles: An oval is formed by a rectangle with semicircles at each end. The length of the rectangle is 54 inches. The width of the rectangle is 27 inches. Which of the following is the perimeter of the inner edge of the frame? (π = 3.14) 192.78 inches 246.78 inches 277.56 inches 331.56 inches
Answers
Answer:
The answer is 192.78 inches
Step-by-step explanation:
An oval is formed by a rectangle with semicircles at each end. We can visualize this easily.
The length of the rectangle is 54 inches.
The width of the rectangle is 27 inches.
The perimeter of rectangle is = [tex]2(L+W)[/tex]
= [tex]2(54+27)[/tex]
= 162 inches
And because there are two semicircles, we can combine them to form a circle. So, perimeter of a circle is called a circumference.
The width of the rectangle forms the diameter, so its half will be the radius.
r = [tex]\frac{27}{2}=13.5[/tex]
The circumference is given by : [tex]2\pi r[/tex]
= [tex]2\times3.14\times13.5=84.78[/tex] inches
Now as the described oval shape is a complete figure without lines inside, we will subtract the width of both sides of the rectangle from the complete perimeter.
The complete perimeter is = [tex]162+84.78=246.78[/tex] inches
The inner edge perimeter will be = [tex]246.68-2(27)[/tex] = 192.78 inches
BRAINLIEST if correct
Does the median or mean better represent the data? And why? {20,28,35,40,132}
Answers
20,28,35,40,132
So 35 is the median
and the mean is 20 + 28 + 35 + 132 + 40 = 255 / 5 = 51
the mean is a better way to represent the data because it does not just pick a number from the set of numbers it calculates the average
use the graph of y=sin0 to find the value of sin 0 for each value of 0 270°. answers -0.4, -0.8, -0.6, -1 please help ASAP
Answers
y=sin O
for O=270°
find the value of sin O
we know that
270 degrees --------> convert to radians-------> is equal to 3pi/2
using a graph tool
see the attached figure
the value of sin O for O=3pi/2 is -1
the answer is
-1
Based on the graph, the value of sin(270) is -1.
So, the answer is -1.
Ellie is a 45-year-old woman who has not yet planned for retirement. She would like to retire at age 67. Answer each question using complete sentences.
Part I: In what type of investments should Ellie deposit her money? Why?
Part II: At what age, or point in your life, would you like to start saving for retirement?
Part III: In what type of investments would you like to deposit your money into when you start saving for retirement? Why?
Answers
ii.The perfect time to start saving is as soon as you have a full-time job. If the employer has a tax deferred investment plan, and if the employer matches some of your investment then you'll be ready to get extra benefits.
iii. I'd put my investments in ETFs equally distributed among a US stock fund, an international fund, a US bond fund and an international bond fund. This reduces expenses through diversification.
what is (3x-4)^2 in expanded form
Answers
The expanded form of the given mathematical expression is [tex]3x^2 -24 +16[/tex].
Given the following expression:
[tex](3x-4)^2[/tex]To write this mathematical expression in an expanded form:
In this exercise, you're required to write the given mathematical expression in an expanded form. Thus, we would expand the expression by applying the perfect-square trinomial.
The perfect-square trinomial.Mathematically, the perfect-square trinomial is given by this mathematical expression:
[tex](a+b)^2=a^2+2ab +b^2[/tex]
Comparing the expressions, we have:
a = 3xb = -4Substituting the values, we have:
[tex](3x-4)^2=3x^2+2(3)(-4) +(-4)^2\\\\(3x-4)^2=3x^2-24 +16[/tex]
Read more on mathematical expressions here: https://brainly.com/question/13170908
Which of the following situations most likely result in a negative correlation when the data is displayed on a scatterplot?
Answers
Hope this kinda helps.
Kamila has two number cubes each labeled 1 to 6. She is going to conduct an experiment by tossing both cubes a total of 150 times. She will find the sum of the two numbers in each role
a. Possible outcomes? __________
b. Probability of tossing a sum of six? _________
c. How many times should Kamila toss a sum of 7? _________
d. How many times should Kamila toss a sum of 10 or greater? _______
Answers
b) The probability of a sum of 6 is 5/36.
c) She should roll a sum of 7 45 times.
d) She should roll a sum of 10 45 times.
Explanation
a) There are 6 outcomes for the first die and 6 outcomes for the second one. By the fundamental counting principle, there are 6*6 = 36 outcomes for both dice together.
b) The ways to get a sum of 6 are:
1&5; 2&4; 3&3; 4&2; 5&1. There are 5 possibilities out of a total of 36, or 5/36.
c) The ways to get a sum of 7 are:
1&6; 2&5; 3&4; 4&3; 5&2; 6&1. There are 6 out of 36, or 6/36=1/6. Since she is rolling the dice 150 times, she should get a sum of 6
1/6(150) = 150/6 = 45 times.
d) The ways to get a sum of 10 or more are:
4&6; 5&5; 6&4; 5&6; 6&5; 6&6
There are 6 ways out of 36, or 6/36 = 1/6. Since she is rolling the dice 150 times, she should get a sum of 10 or more
1/6(150) = 150/6 = 45 times.
Answer:
Step-by-step explanation:
a) When two number cubes are thrown possible outcomes are
[tex]6x6 =36[/tex]
b) Probability of tossing a sum of 6
Favourable outcomes = (1,5)(5,1)(2,4) (4,2) (3,3)
Hence probability =[tex]\frac{5}{36}[/tex]
c) For getting 7 favourable outcomes are
(1,6)(2,5)(3,4)(4,3)(5,2)(6,1)
i.e one out of 6 chances.
Hence in 150 times Kamala should toss a sum of 7 --- [tex]\frac{1}{6} *150 =25[/tex]
d) Favourable outcomes for sum of 10 or greater
= (4,6) (6,4) (5,5) (5,6)(6,5)(6,6)
Probability for getting sum of 10 or greater = [tex]\frac{6}{36} =\frac{1}{6}[/tex]
No of times Kamila should toss 10 or greater
= [tex]\frac{150}{6} =25[/tex]
Which measurement would Rachel need to know when ordering wallpaper for the kitchen?
A.
the total perimeter of wall space to be covered
B.
the total area of wall space to be covered
C.
the thickness of the wallpaper
D.
the perimeter of the wallpaper
Answers
Perimeter is like fencing, that won't tell us how much wall there is to paint.
What is the distance between -10 and 25 on a number line?
A) -35
B) -15
C) 15
D) 35
Answers
= 10 + 25
= 35 distance
ANSWER: The distance between -10 and 25 is (D) 35.
Hope this helps! :)
Write the fractional equivalent (in reduced form) to each number.
0.3
0.125
0.16
0.1
0.6
0.2
0.75
Answers
Answer:
0.3=1/3
0.125=1/8
0.16=1/6
0.1=1/10
0.6=2/3
0.2=1/5
0.75=3/5
hope this helps sorry if it dont please give me brainlest im new
The fractional equivalent 3/10, 1/8, 4/25, 1/10, 3/5, 1/5 and 3/4 which will Rational Number.
What is Rational Number?
Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.
So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that numerator or denominator doesn't have common divisible.
.3 = 3/10
.125 = 125/1000 = 1/8
.16 = 16/100 = 4/25
.1 = 1/10
.6 = 6/10 = 3/5
.2 = 2/10 = 1/5
.75 = 75/100 = 3/4
Hence the answers will be 3/10, 1/8, 4/25, 1/10, 3/5, 1/5 and 3/4 in the rational p/q form.
Learn more about Rational Number , by the following link
https://brainly.com/question/19079438
#SPJ2
Find the unknown. = (65 × 3) + 9
Answers
65 x 3 = 193 add 9
202 should be your answer
simplify the imaginary number (square root symbol) -8
Answers
= i *sqrt(4)*sqrt(2)
= i * 2*sqrt(2) (answer)
I need these all questions is for a grade
Answers
2. by multiplying by 10
3. 13.41
4. A. 10+9+.90+.08
B. nineteen point Ninety Six
2. by multiplying by 10
3. 13.41
4. a: 10+9+.90+.08
b: 19.96
The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6
Answers
y=2(2)+2
finally solve for y
4+2
6=y
6 is your answer
T + 7 = 25
Y - 8 = -8
16 + x = 21
21 = 4 + p
Show your work ! .
Answers
25-7=18
T=18
0-8=-8
Y=0
21-16=5
x=5
21-4=17
p=17
A pet store had 4 cats to feed. If they only had one fifth of a bag of cat food and each cat got the same amount, what fraction of the bag would each cat get?
Answers
When dividing fractions you could turn the fraction into a decimal or Keep Change Flip
Decimal: .2 divided by 4 = .05
KCF: 1/5 x 1/4 = 1/20
The answer is 1/20 or .05
Ana helped her mom this weekend. She earned $25. On Monday she purchased snacks for herself and her friends and spent $6.50. On Tuesday she purchased comic books and a flashlight at Target for $15.25. She then purchased a drink for $3.25.
How much money does she have left? Explain.
Answers
In order to figure out how much Ana has left, let's first figure out how much she spend. We'll add together 6.50 + 15.25 + 3.25, which equals 25. Then, we'll subtract the amount she spent from the amount she earned. 25 - 25 = 0 Therefore, Ana has no money left.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
hope this helps
plz help 1:There are 15 people in a book club. Ten people read for an average of 65 minutes each day. The remaining people read for an average of 35 minutes each day.
What was the average reading time for the entire book club each day?
Enter your answer in the box.
2:At the karate school, Class A has 8 students with an average age of 6 years. Class B has 12 students with an average age of 9 years. The classes combine for a group workout.
What is the average age of the combined classes?
Enter your answer as a decimal in the box.
3:Last year the sales at a bookstore were 75% fiction books, and 25% nonfiction books.
The average cost of a fiction book was $15. The average cost of a nonfiction book was $16.
What was the average cost of all fiction and non-fiction books sold at the bookstore last year?
Enter your answer as a decimal in the box.
4: At a tennis event, 10% of
Answers
#2) 7.8
#3) $15.25
For #1,
(65(10)+35(5))/15 = 825/15 = 55
For #2,
(8(6)+12(9))/20 = 156/20 = 7.8
For #3,
0.75(15)+0.25(16) = 15.25
Find the area of a triangle bounded by the y-axis, the line
f(x) = 34 − 4 x,
and the line perpendicular to "f" that passes through the origin.
Answers
A drawing of the triangle is attached.
We first plot the y-intercept of the line given to us, f(x)=34-4x. This is in the form f(x)=mx+b, so the y-intercept, b, is 34.
Next we use the slope to find the next points of the line. The slope is -4, which can be written as -4/1 (rise/run). This means from the y-intercept, we go down 4 and over 1 to plot the next point, and continue in this manner. We now have the y-axis and this line drawn.
Next we use the slope of the line to find the slope of the perpendicular line described. Two lines are perpendicular if their slopes are negative reciprocals of each other. The slope of the first line was -4/1; this means the slope of this line must be 1/4. We also know this point goes through the origin, so 0 is the y-intercept, and we have the equation f(x)=1/4x+0.
To graph this, plot a point at 0, the y-intercept. The slope is 1/4, so we go up 1 and over 4 to the next point. This happens to be on the line we previously drew.
To find the area of this triangle, we need to identify the base and height. The height will be perpendicular to the base. The two sides that form a right angle are the bottom and the right hand side, so the bottom is the base and the right hand side is the height.
Now we find the length of each of these sides using the distance formula. For the height:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(34-1)^2+(0-4)^2} \\ \\=\sqrt{33^2+(-4)^2}=\sqrt{1089+16}=\sqrt{1105}\approx33.24[/tex]
To find the length of the base:
[tex]d=\sqrt{(0-1)^2+(0-4)^2}=\sqrt{(-1)^2+(-4)^2}=\sqrt{1+16}=\sqrt{17} \\ \\\approx4.12[/tex]
The area of a triangle is given by A=1/2bh:
A=1/2(33.24)(4.12) = 68.4744 ≈ 68.47
How do you find the area of this compound shape?
Answers
the radius of the circle is 3 yards, so the diameter would be 6 yards diameter = 2 x radius)
the diameter of the circle is also the base of the triangle.
the height f the triangle is 5 yards formula for area of a triangle is 1/2 x b x h
so you have 1/2 x 6 x 5 = 15 square yards
the area for a circle is PI x r^2
so you have 3.14 x 3^2 = 28.26 for the full circle so divide this by 2 for the half circle:
area of half circle = 28.26 / 2 = 14.13 square yards
now add the area of the triangle and half circle together:
14.13 + 15 = 29.13 square yards
Lori is buying a roll of wrapping paper. There are 10 birthday designs, 6 holiday designs, 3 wedding designs, and 5 baby designs. How many ways can Lori choose a roll of wrapping paper? A. 900 B. 300 C. 34 D. 24
Answers
Answer:
D. 24
Step-by-step explanation:
10 + 6 + 3 + 5 = 24
Answer:
24
Step-by-step explanation: