Answers
26) -8
27) 0
28) -7
29)6
Related Questions
Write an equation to match the situation below. Then, use your equation to solve for the variable.
Haley received $278.25 in her paycheck for working h hours this week. She makes $13.25 per hour.
I
Answers
13.25h = 278.25
Solve for h in this case by dividing 278.25 by the 13.25 dollars per hour.
The answer will be:
21 hours
Karl is purchasing a $205,000 home with a 30-year mortgage at 5.5%. Because he is not making a down payment, PMI in the amount of $97.50/month is required for the first 2 years of the loan. Based on this information, what is the total cost of this loan? A. $421,369.20 B. $444,923.03 C. $423,042.96 D.$452,092.10
Answers
The total loan payment is $1,024,050.
What is Mortgage Loan?Another name for mortgage loans is "loans against property." A mortgage loan can be used to refinance real estate or to buy, build, or remodel a home. Getting a new loan for a piece of property while the old one is still being paid off is referred to as refinancing. Typically, it is done to obtain a loan with better terms.
We have,
The 30-year mortgage loan of $205,000 at 5.5% interest rate
We know, the total cost of this loan can be calculated as
L=LM+PMI
So, LM=$205,000 x (1+0.055[tex])^{30[/tex]
LM=$205,000 x 4.984
LM = $1,021,710
Now, the PMI over 24 months
= $97.5 x 24
= $2,340
So, the total loan payment is:
= $1,021,710 + $2,340
= $1,024,050
Learn more about mortgage loan here:
https://brainly.com/question/29538161
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POR is a right-angled triangle.
13 cm
5 cm
12 cm
Work out the size of angle POR.
Give your answer correct to 1 decimal place.
+ +
1
Total marks: 3
Answers
Answer:
As 3-4-5 5-12-13 is a right triangle
5^2 + 12^2 = 25 * 144 = 169 = 13^2
Not sure how POR is designated, but
cos theta = 12/13 = .923 theta = 22.6 deg
sin theta = 5/13 = .385 theta = 22.6 deg
A woman is trying to remove holiday decorations from the roof of her house by climbing a ladder. The height of her house is 24 feet, and the distance she has to travel on the ladder is 30 ft. How far away is the ladder from the house?
Answers
Answer:
18 ft
Step-by-step explanation:
We are to determine the base given the hypotenuse and length.
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
30² = 24² + b²
900 = 576 + b²
b² = 900 - 576
b² = 324
square root = 18
What is the length of b?
Answers
Given that ABCD is a rhombus, what is the value of x?
Answers
Keep learning : )
Answer:20.75
Step-by-step explanation:
Trust me gangsta
For consumers making purchases online, 60% have devices made by Apple, 85% own a smartphone, and 75% use Venmo. Also, out of the smartphone users, 80% use Venmo. Assume that having a device made by Apple and owning a smartphone are independent. A consumer who makes purchases online is selected at random, what is the probability they have an Apple device or own a smartphone (or both)? Enter your answer as a decimal to two places, and include the leading zero. For example, 0.12 would be a valid format.
Answers
Answer:
The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94
Step-by-step explanation:
The percentage of costumers that have a device made by Apple = 60%
The percentage of customers that own a smartphone = 85%
The percentage of customers that use Venmo = 80%
The percentage out of the smartphone users that use Venmo = 80%
The probability both independent events A and B occurring = P(A) × P(B)
The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)
Therefore, the probability of A or B or both occurring is given as follows;
P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)
Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;
P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94
Therefore, the probability that a customer selected at random has an Apple device or own a smartphone (or both), P(A or B or Both) = 0.94
Simplify fully: 8(x+3)^2/2(x+3)
Answers
Answer:
4(x+3)
Step-by-step explanation:
8(x+3)^2/2(x+3)
Rewriting
8(x+3)*(x+3)
------------------
2(x+3)
Canceling like terms
4(x+3)
----------
1
Answer :-
4( x+3)
step-by-step explanation :-
8 ( x + 3 )² /2 ( x + 3 )
Rewrite the equation
[tex] \small \sf \: \frac{8 ( x + 3 )² × ( 2 ( x + 3 )}{2(x + 3)} \\ [/tex]
cancelling like terms
4( x + 3) / 1
4 ( x + 3)
At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
Answers
Answer:
8d + 6b = 55
2d + 9b = 32.50
Step-by-step explanation:
let 'd' = # dog bowls
let 'b' + # bones
Rhonda: 8d + 6b = 55
Kelly: 2d + 9b = 32.50
we can multiply Kelly's equation by -4 to eliminate the 'd' terms:
Kelly: -4(2d + 9b) = 32.5(-4)
-8d - 36b = -130
now add the above equation to Rhonda's equation:
-8d - 36b = -130
+ 8d + 6b = 55
-30b = -75
b = 2.50
now we can use either equation and substitute 2.5 for 'b' to find 'd'
2d + 9(2.5) = 32.5
2d + 22.5 = 32.5
2d = 10
d = 5
On a unit circle, the terminal point of 0 is (sqrt3/2,1/2)
What is 0?
Answers
Answer:
The measure of [tex]\theta[/tex] is 30°.
Step-by-step explanation:
In the statement, the angle has been misrepresented. The corrected statement is described below:
"On a unit circle, the terminal point of [tex]\theta[/tex] is [tex]\left(\frac{\sqrt{3}}{2}, \frac{1}{2} \right)[/tex]. What is [tex]\theta[/tex]?"
The measure of the angle ([tex]\theta[/tex]), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form [tex](x,y)[/tex] is determined by the following inverse trigonometric function:
[tex]\theta = \tan^{-1}\left(\frac{y}{x} \right)[/tex] (1)
If we know that [tex]x = \frac{\sqrt{3}}{2}[/tex] and [tex]y = \frac{1}{2}[/tex], then the measure of [tex]\theta[/tex] is:
[tex]\theta = \tan^{-1} \frac{\sqrt{3}}{3}[/tex]
[tex]\theta = 30^{\circ}[/tex]
The measure of [tex]\theta[/tex] is 30°.
Answer:
its 60 degrees
Step-by-step explanation:
a p e x 2021
the expression (x^2-1)^-2/3 is equivalent to
Answers
Answer:it’s x
Step-by-step explanation:
Sry if I’m wrong
Enriques bathroom measures 6 ft. Long by 5 ft. Wide His shower is 3 feet square The title he wants to buy for the floor is sold in square feet. What is the area of the floor that he has to title
Answers
Answer:
Area of the floor is 30 square ft.
Step-by-step explanation:
Length of the floor, L = 6 ft
width of the floor, W = 5 ft
The floor is in the shape of rectangle.
The area of the rectangle is
A = Length x width
So, the area of the floor is
A = L x W
A = 6 x 5
A = 30 ft^2
PLEASE HELP ME PLEASE AS SOON AS YOU CAN
EXPLAINATION = BRAINLIEST
THANK YOU SO MUCH
Answers
Answer:
35.18576
Step-by-step explanation:
use eqation E
Answer:
If the angle is in radians...
Area of sector =½r²¢
Where ¢ is theta.
Since Our angle is degree
We use
Area of Sector = ¢/360 x πr²
¢=theta
radius = Diameter/2
radius = 16/2 = 8m
Area = 126/360 x π x 8²
= 112π/5
=70.37
what does Δy and Δx stand for
Answers
Δy just means triangle y and Δx means triangle x.
Write the following number in standard decimal form
seven and fifty-two thousandths
Please help
Answers
Answer:
seven and fifty-two thousandths as a decimal
Step-by-step explanation:
7.52
Your answer should be 7.052
The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:
tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you
Tatiana is playing a video game. She earns 25 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.
How many points will Tatiana earn when she completes Level 7?
Answers
Answer:
18,225
Step-by-step explanation:
L1=25
L2=75
L3=225
the pattern is (25)* 3^(n-1)
L1=3^0*25 = 25
L2=3^1*25 = 3* 25 = 75
L3=3^2*25 = 9* 25 = 225
.
.
L7=3^6*25 = 729* 25 = 18,225
Find the interest rate if £6400 has a final value of £8334 in 3 years. Give your answer to 1 d.p
Answers
Answer:
Step-by-step explanation:
6400(1+i)³=8334
(1+i)³=1.3021875
∛(1+i)³=∛(1.3021875)
1+i= 1.092
i= .092
I guess if you were to round to 1 decimal point it'd be .1
Please help? I really need it
Answers
Answer:
216 in²
Step-by-step explanation:
a = bh
a = 18 * 12
a = 216
The following are the ages (years) of 5 people in a room:
22, 23, 25, 17, 18
A person enters the room.
The mean age of the 6 people is now 24.
What is the age of the person who entered the room?
Answers
Step-by-step explanation:
Mean=sum of terms/ number of terms
22+23+25+17+18/5
105/5
21
Finding the age of the sixth person
105+x/6=24
105+x=24x6
105+x=144
x=144-105
x=39
A surveyor leaves her base camp and drives 42km on a bearing of 032degree she then drives 28km on a bearing of 154degree,how far is she from her camp base and what is her bearing from it
Answers
Answer:
The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).
Step-by-step explanation:
The final position of the surveyor is represented by the following vectorial sum:
[tex]\vec r = \vec r_{1} + \vec r_{2} + \vec r_{3}[/tex] (1)
And this formula is expanded by definition of vectors in rectangular and polar form:
[tex](x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2})[/tex] (1b)
Where:
[tex]x, y[/tex] - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.
[tex]r_{1}, r_{2}[/tex] - Length of each vector, in kilometers.
[tex]\theta_{1}, \theta_{2}[/tex] - Bearing of each vector in standard position, in sexagesimal degrees.
If we know that [tex]r_{1} = 42\,km[/tex], [tex]r_{2} = 28\,km[/tex], [tex]\theta_{1} = 32^{\circ}[/tex] and [tex]\theta_{2} = 154^{\circ}[/tex], then the resulting coordinates of the final position of the surveyor is:
[tex](x,y) = (42\,km)\cdot (\cos 32^{\circ}, \sin 32^{\circ}) + (28\,km)\cdot (\cos 154^{\circ}, \sin 154^{\circ})[/tex]
[tex](x,y) = (35.618, 22.257) + (-25.166, 12.274)\,[km][/tex]
[tex](x,y) = (10.452, 34.531)\,[km][/tex]
According to this, the resulting vector is locating in the first quadrant. The bearing of the vector is determined by the following definition:
[tex]\theta = \tan^{-1} \frac{10.452\,km}{34.531\,km}[/tex]
[tex]\theta \approx 16.840^{\circ}[/tex]
And the distance from the camp is calculated by the Pythagorean Theorem:
[tex]r = \sqrt{(10.452\,km)^{2}+(34.531\,km)^{2}}[/tex]
[tex]r = 36.078\,km[/tex]
The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).
Find mAC.
Pls help me
Answers
Answer:
Measure of Arc AC is 30 degrees
Step-by-step explanation:
To find the value of the marked arc, we are going to use the arc-angle relationship
from the type of given diagram, we can figure out the relationship to use
Mathematically, we have this as;
Measure of Arc AC = 2 * angle ABC
So we have arc AC as 2 * 15
Arc AC = 30 degrees
write the set of natural numbers that is less than or equal to 6 in both the notations
Answers
Answer:
Step-by-step explanation:
Builder :
X = { x ∈ N : x ≤ 6}
Roster :
X = { 1, 2 , 3 , 4 , 5 , 6}
Answer the question pleaseeeee
Answers
After studying the growing population of a certain species of fish, Dr. Goldthwait has determined that the population will grow
in such a way that the population each year will be 27 less than the square of the previous year's population. If he introduces
this species of fish to a new environment by placing a population of 15 fish, and the population grows according to his results
which of the following recursive formulas can be used to determine the number of fish that will be in the environment in the
future? Assume that the space for the population to grow is unlimited.
OA
NEXT = Now2 - 27 starting at 15
OB. NEXT = (NOW + 27) starting at 15
OC. NEXT = now? + 27 starting at 15
OD. NEXT =
(NOW - 27) starting at 15
Answers
Answer:
OB. NEXT
Step-by-step explanation:
*BRAINLIEST**
Would anyone be willing to give a quick sketch of what this should look like?
Answers
Answer:
There is your answer. Hope this helps
What is the median for this set of data?
28, 32, 15, 19, 24, 26, 22, 32, 30
Answers
Step-by-step explanation:
according order 15 , 19,22, 24,26,28,30,32,32. answer is 26
Answer:
Hello There!!
Step-by-step explanation:
26 is the median as you order the numbers smallest to largest.Therefore,it is 15,19,22, 24, 26,28,30,32,32 and the amount of numbers are odd so the median is the middle number.If it was even the two middle numbers would be added together and then divided by 2.
hope this helps,have a great day!!
~Pinky~
Find the measure of the largest angle.
Answers
Answer:
4x-7
Step-by-step explanation:
Solve for x:
180 = 44 + 3x - 11 + 4x - 7
Combine like terms: 180 = 26 + 7x
Simplify: 154 = 7x
Simplify: 22 = x
Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81
Create inequality: 44 < 55 < 81
Hope this help!!!
Have a nice day!!!
Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.
On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?
(2, –8)
(–8, –2)
(–2, 8)
(8, 2)
Answers
Answer:
(-8 , -2)
Step-by-step explanation:
the coordinates of B’ are (-8 , 2)
then
Since B also is the image of B’ through the reflection across the x-axis
then the coordinates of B are (-8 , -2)
Answer:
(-8, -2)
Step-by-step explanation:
Select the number line model that matches the expression
|8 - 1|
Answers
Answer:
B
Step-by-step explanation:
Trust
what is
0.05
+0.82
——————-
Answers
Answer:
0.87
Step-by-step explanation:
Answer:
0.87
Step-by-step explanation:
0.05
+0.82
—0—.8—7———-
just add like regularly but i think you have to line up the decimals
