Step-by-step explanation:
A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. Rays are always named with two points and the first point in the name must be the endpoint. So, when you name opposite rays, the first letter in the name of both rays must be the same.
Gladys has just purchased a new home. The house was priced at $105,000,
and she chose a 40-year mortgage at 5.2%. What will her total cost be?
A. $24,776
B. $297,312
C. $249,739
D. $249,906
Answer: the answer is C
Step-by-step explanation: AP3X
The total cost is $249,739.
What is Mortgage Rate?A mortgage rate is the interest rate on a mortgage. Mortgage rates are set by the lender and might be fixed, remaining constant during the length of the loan, or variable, varying with a benchmark interest rate. Borrowers' mortgage rates differ depending on their credit profile.
We have,
P = $105, 000
T = 40 year
R = 5.2%
Using
Monthly payment, P = C[i(1+i[tex])^n[/tex]]/[(1+i[tex])^n[/tex]-1]
P = 105,000 [ 0.052/12(1+0.052/12[tex])^{480[/tex]]/[(1+0.052/12[tex])^{480\\[/tex]-1]
P = 105,000 [ 0.00433 (7.8426)] / [7.8426 -1]
P = 105,000 [ 0.03372318] / (6.8426)
P = $249,739
Learn more about Mortgage Rate here:
https://brainly.com/question/10104170
#SPJ5
Urgent!!! A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $44,376. The variable costs will be $8.25 per book. The publisher will sell the finished product to bookstores at a price of 19 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
4,128 books
Step-by-step explanation:
Let
x = number of books
Fixed cost = $44,376
Variable cost = $8.25 per book
Total cost = fixed cost + variable cost
Total cost = 44,376 + 8.25x
Selling price of book = $19 per book
Total revenue = 19x
How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Total cost = Total revenue
44,376 + 8.25x = 19x
44,376 = 19x - 8.25x
44,376 = 10.75x
x =44,376/10.75
x = 4,128 books
The publisher must produce and sell 4,128 books so that the production costs will equal the money from sales
At a certain fire station, false alarms are received at a mean rate of .2 per day. In a year, what is the probability that fewer than 60 false alarms are received?
Answer:
0.064
Step-by-step explanation:
Number of days in a year = 365
Mean rate of false alarm in a year = λ = 365 * 0.2 = 73
Standard deviation, σ = sqrt(λ) = sqrt(73) = 8.54 (for large λ value)
Using the relation :
P(x < 60): (60 - 73) / 8.54
P(x < 60) = - 1.52
P(Z < - 1.52) = 0.06426 (Z probability calculator
= 0.064
A painter can paint 120 square feet with 4 gallons of paint. Which statement about the unit rate is true?
Answer:
30 (ft^2/gal)
Step-by-step explanation:
The "unit rate" in this problem is (number of square feet covered) / (1 gallon paint).
Here we have the unit rate
120 ft^2
---------------- = (30 ft^2)/gal or 30 (ft^2/gal)
4 gallons
In the example, what is the relationship between the perimeter and the side length of an equilateral triangle
Answer:
P = 3s
Step-by-step explanation:
To start with, let's assume that
The perimeter of a triangle is called P
The side of a triangle is called s
Now, by formulae, the perimeter of an equilateral triangle is given as P = 3s. Which is the same as adding up the 3 sides together.
Succinctly put, we can then conclude that if P = 3s, then the perimeter of an equilateral triangle is equal to the lengths of its 3 sides.
To find the height of a pole, a surveyor moves 121 feet away from the base of the pole and then, with a transit 3.6 feet tall, measures the angle of elevation to the top of the pole to be 39. To the nearest foot, what is the height of the pole? Round your final answer to the nearest tenth of a foot.
Answer: 139 feet
Step-by-step explanation:I used tan. Tan(44) = x/140
x = 140(Tan 44)
x = 135.196
The transit is 4, so we add that to 135.
This makes 139 feet.
Does this seem right to you?
can you help me solve this
4x + 33 / 9 = -9
Answer:
4x + 33 / 9 = -9
multiply both side by 9;
9x(4x + 33 / 9 )= -9 x(9)
36x + 33 =-81
36x = -81-33
36x = -114
x = (-114)/36
Step-by-step explanation:
Answer:
4x+33/9= -9 (reduce the fraction)
4x+11/9= -9 (move the constant to the.
right)
4x = -9- 11/9
4x = -38/3 (divide both sides by 4)
x = -19/6
find a line that is parallel to y=-2x+7 and passes through a point of (1,-1)
Answer:
y=-2x +1
Step-by-step explanation:
hope this helps
I need help fast thank you
Answer:
RO = 39.5
Step-by-step explanation:
RO/9 = 57/13
13RO = 513
RO = 513/13
RO = 39.46
Answer:
39.5
Step-by-step explanation:
[tex]\frac{KN}{NM} =\frac{RO}{RQ} \\\\\frac{9}{13} =\frac{x}{57} \\\\13x=513\\x=39.5[/tex]
In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates units of the hypotenuse of this triangle
Given:
The vertices of a right triangle are:
[tex](-3,4),(3,4),(3,-4)[/tex]
To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]
[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]
[tex]AB=\sqrt{(6)^2+0}[/tex]
[tex]AB=\sqrt{36}[/tex]
[tex]AB=6[/tex]
Similarly,
[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]
[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]BC=\sqrt{64}[/tex]
[tex]BC=8[/tex]
And,
[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]
[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]
[tex]AC=\sqrt{36+64}[/tex]
[tex]AC=\sqrt{100}[/tex]
[tex]AC=10[/tex]
Now, taking sum of squares of two smaller sides, we get
[tex]AB^2+BC^2=6^2+8^2[/tex]
[tex]AB^2+BC^2=36+64[/tex]
[tex]AB^2+BC^2=100[/tex]
[tex]AB^2+BC^2=AC^2[/tex]
By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
Expand and simplify
2(m - 3) + 3(m + 4)
Answer:
5m+6
Step-by-step explanation:
Hello There!
We can simplify the given expression using distributive property
We can distribute the 2 to the m and - 3
2 * m = 2m
2 * -3 = -6
Now lets distribute the 3 to the m and the 4
3 * m = 3m
3 * 4 = 12
we´re left with
2m - 6 + 3m +12
our final step would be to combine like terms
2m + 3m = 5m
-6 + 12 = 6
so the simplified version would be
5m+6
What is the percent of change from 800,000 to 80,000?
Solution for 80000 is what percent of 800000:
80000:800000*100 =
(80000*100):800000 =
8000000:800000 = 10
Now we have: 80000 is what percent of 800000 = 10
Find m ∠ B if mAB = 120° and m ∠ A= 42º.
A)78°
B)80
C)18
D)156
Answer:
∠B = 78°
Step-by-step explanation:
∠C = 1/2 arc AB = 1/2(120°) = 60° because it is an inscribed angle
∠B = 180° - 42° - 60° = 78°
The measure of ∠ B is 78°.
What is inscribed angle?An inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
What is inscribed angle theorem?The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
According to the question
m ∠ A= 42º.
mAB = 120°
By inscribed angle theorem :
mAB = 2 m∠C
120° = 2 m∠C
m∠C = 60°
now,
according to the sum of angle of triangle
m ∠ B + m∠C + m ∠ A = 180°
m ∠ B +60° + 42º= 180°
m ∠ B = 78°
Hence, the measure of ∠ B is 78°.
To know more about inscribed angle theorem here:
https://brainly.com/question/5436956
#SPJ2
1) Asma works for 32 hours in a week and is paid £15.20 for each hour worked.
James works 30 hours in a week and is paid £11.50 for each hour worked.
What is the difference in their total weekly pay?
For a snack, mrs graham gives her student graham crackers. She has a package of 20 graham crackers to share equally to 8 students. How many graham crackers does each student receive
Answer:
2.5
Step-by-step explanation:
graham crackers each student receive = total number of crackers / total number of students
20 / 8 = 2.5
14 - 2(11 - 5) + [tex]7^{2}[/tex]=
Answer:
51
Step-by-step explanation:
I NEED HELP PLEASE
are 12 cups greater than or less then 4liters
?????
Answer:
12 cups are less than 4 liters
Answer:
4 litres is greater.
A litre is worth about 4.23 cups. This means 4 liters is worth around 16.9 cups, whereas cups are worth 2.83 litres.
150p + 200 + 10p= 1200 SHOW ALL STEPS
150+10=160
160p+200=1200
-200 -200
160p= 1000
1000/160= 6.25
What is parallel to what?
Answer:
LS is parallel to MN
Step-by-step explanation:
LS and MN are the only lines to have the parallel symbol (the 2 arrows)
I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The school swim team has 12 freshmen, 10 sophomores, 15 juniors and 5 seniors. The team is headed by 4 coaches
Answer:
simplified its 5:4 for juniors to freshmen's
Step-by-step explanation:
Answer:
5 : 4
Step-by-step explanation:
Ratio of juniors to freshmen = 15 : 12
15 = 3 * 5
12 = 3 * 4
GCF = 3
15 : 12 = 15÷3 : 12÷ 3
= 5 : 4
A bakery used 37% more chocolate chips this month than last month. If the bakery used 320 pounds of chocolate chips last month, how much did it use this month?
Answer:
438.4
Step-by-step explanation:
100% + 37% = 137% = 1.37
320 x 1.37 = 438.4
so the answer that I got is 438.4
I really hope this helps
When Ranim started karate, her highest kick went 110^\circ110 ∘ 110, degrees from the ground. Her instructor asked her to practice until her highest kick goes 155^\circ155 ∘ 155, degrees from the ground. Which equation will tell us the measure of the additional angle, aaa, that Ranim's kick needs to go to reach 155^\circ155 ∘ 155, degrees from the ground?
Answer:
Step-by-step explanation:
155° - 110° = 45°
Answer:
A
Step-by-step explanation:
Because i literally just did it on khan academy plus 155-110=45
SOMEONE ANSWER FASTT!!
*create an equation for this situation. Use the equation to solve the problem. (Algebra)
Some Girl Guides are raising money for their jamboree. Their goal is to raise $1000, They already have $232 from the bake sales. To raise the remainder, they are planning a walk-a-thon. if each person walking raises $24, how many walkers will the Girl Guides need to reach their goal?
John runs 6.5 miles in 30 minutes. If he continues at this rate for 1 hours, determine his rate of change .
Answer: 13 miles
Step-by-step explanation:
30 min plue 30 min is 1 hour
if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13
What is the same as 7/3
Answer:
3.5/1.5 or 14/6
Step-by-step explanation:
equivalent
On a local swim team 6 members each swam 1,685 meters during the season. How many total kilometers did the 6 members swim during the season
Answer:6 members swam 10.11Km during the season
Step-by-step explanation:
Number of members = 6
meters swam by each of the 6 members = 1,685 meters
Total meters swam by the 6 members during the season
= 1,685 meters X 6
=10,110 meters
But 1000m =1km
10,110 m =10.11Km
Question below fr this time
Answer:
An object's initial position
The initial velocity of an object
The time an object was in motion
The acceleration of an object
Step-by-step explanation:
That equation is used to solve for an object's final position.
Grapes cost $3.25 per pound. Darius paid a total of $26 for grapes.
How many pounds of grapes did Darius buy?
Answer:He buys 8 pounds
Step-by-step explanation:
You can either just add up the $3.25 until you get to the end-price, but that wont always work for every problem. The best way is to divide the 26 with the 3.25 in a written devision.
Answer:
he buys 8 pounds
Step-by-step explanation:
you add up until you get to 26 and then count how many times you added :)
The elevations, in miles, of three museums are marked on the number line below. Point O on the number line represents sea level. Which of the following statements is true? *
A. Museum A is at sea level and both museums B and C are above sea level.
B. Museum A is above sea level and Museum B is at sea level.
C. Both museums B and C are below sea level.
D. Museums A and B are below sea level.
Answer:
I would say C.
Step-by-step explanation:
Point A would be exactly at sea level while B and C are both under A
(sea level).