Answer:
Step-by-step explanation:
How much would the mortgage payment be on a $500K house? Assuming you have a 20% down payment ($100,000), your total mortgage on a $500,000 home would be $400,000. For a 30-year fixed mortgage with a 3.5% interest rate, you would be looking at a $1,796 monthly payment.
Given f(x) = 13x - 9, find (f(x + h) - f(x))/h and simplify the result.
Answer:
13
Step-by-step explanation:
Given
f(x) = 13x - 9 , then
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
= [tex]\frac{13(x+h)-9-(13x-9)}{h}[/tex]
= [tex]\frac{13x+13h-9-13x+9}{h}[/tex]
= [tex]\frac{13h}{h}[/tex]
= 13
Determine without converting the form and leave your answer in the form a+bi, where a,b ∈R
[tex]i^2^1(i+2)(i-3)\\\\\\\frac{(1+2i)(3+i)}{-2+i}[/tex]
The expression is in the form of a+bi where a,b ∈R. where, a = [tex]\frac{29}{5}[/tex]and b = [tex]\frac{-41}{5}[/tex] therefore, The complex number is [tex]\frac{29}{5}[/tex] [tex]-\frac{41i}{5}[/tex].
Given expression is:[tex]\frac{(i+2)(i-3)((1+2i)(3+i))}{(-2+i)}[/tex]
To simplify the above expression, first, we need to expand all the terms in the brackets which are given above.
We get,= [tex]\frac{(i^{2} - i*3 + 2i - 6) * (3 + i + 2i + 2i^{2} )}{(-2+i)}[/tex]
We know that i² = -1 and i²² = 1 and i*3 = 3i.
Therefore, the above expression becomes=[tex]\frac{(-1 -3i + 2i - 6) * (3 + i + 2i - 2)}{(-2+i)} =\frac{(-7 - i) * (5 + 3i)}{(-2 + i)}[/tex]
Now, we need to simplify the above expression by multiplying the numerator and denominator by the conjugate of the denominator.
Conjugate of -2 + i = -2 - i
Therefore, the expression becomes=[tex]\frac{(-7 - i) * (5 + 3i)*(-2 - i)}{((-2 + i)*(-2 - i))} = \frac{(-7 - i) * (5 + 3i)*(-2 - i)}{(4 + 1)} = \frac{(29 - 41i)}{5}[/tex]
The expression is in the form of a+bi where a,b ∈R. where, a = [tex]\frac{29}{5}[/tex]and b = [tex]\frac{-41}{5}[/tex]
Therefore, The complex number is [tex]\frac{29}{5}[/tex] [tex]-\frac{41i}{5}[/tex].
For more questions on expression
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how long will it take with 0.5kW power rating to do 1500J of work?
3 seconds
3 microseconds
3 minutes
0.3 seconds
There are 20 houses on Rainbow Street. 45% of the houses have holiday decorations in their yard. How many houses have decorations?
Answer:9
Step-by-step explanation:
Can someone help with number 1 please?
Niamh runs 6 km in 30-minutes what is the average speed in km h
Answer:
12 km/hr
Step-by-step explanation:
The average speed is 12 km/hr.
It is to find the average speed in km /h.
What is speed?Speed is measured as the ratio of distance to the time in which the distance was covered.
Given that :
Distance covered by Niamh = 6 km
Time =30minutes=30/60hour
=1/2hour
∴ The average speed=Total distance/Total time
The average speed=6*2/1
The average speed=12 km/hr.
So, the average speed is 12 km/hr.
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Please help me please help no links
Will give brainliest
Find the area of the following
triangle:
5 cm
10 cm
A= [?] cm2
Enter the exact answer as a decimal.
Answer:
25
Step-by-step explanation:
a=1/2bh
a=1/2(5)(10)
a=1/2(50)
a=25
Given the data set, calculate the median
{9, 3, 1, 8, 3, 6}
Answer:
4.5
Step-by-step explanation:
The median we know is the middle number of a set of numbers. Putting the set in least to great order, we have (1, 3, 3, 6, 8, 9). The middle number here is 3 and 6. We take the mean of 3 and 6, (3+6)/2 which gives us 4.5 and that is our answer.
Answer:
4.5
Step-by-step explanation:
i took the test
. The figure below shows a circular
driveway. What is the area of the
driveway?
Answer:
C
Step-by-step explanation:
A= πr squared
D=r*2
r=24
π=3.14
A= π(24 * 24) = 576
A= π576
A=10808.64
A=10808.6
12. Draw an acute scalene triangle. Describe
the angles and sides of the triangle.
show
work.
7. carmen estimates that deductions from his gross pay will be 25%. assuming the weekly gross pay is $229.22, carmen can expect the weekly paycheck to be $_________.
Amount of deduction
25% of 229.22229.22/4$57.3Net pay check
229.22-57.3$171.92Answer:
$171.92
Step-by-step explanation:
Given information:
Weekly gross pay = $229.22Gross pay is the pay received before any deductions are taken.
Therefore, if 25% of deductions are taken from the given gross pay, the net pay will be 75%, since 100% - 25% = 75%.
Therefore, to calculate the expected weekly paycheck, find 75% of the gross weekly pay:
75% of $229.22
= 0.75 × 229.22
= 171.915
= $171.92
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
∠2=67°
Step-by-step explanation:
Angles along a straight line add up to 180. Therefore:
∠1+∠2=180
113+∠2=180
∠2=180-113
∠2=67°
Using the Zero Factor Property, solve (2x + 1)(x - 6) = 0.
Answer:
1 2/3 or 1.67
Step-by-step explanation:
(2x+1)+(x-6)=0
Remove parenthesis.
2x+1+x-6=0
Rearrange to make life temporarily easier.
2x+x+1-6=0
Now combine like terms.
3x-5=0
Add 5 to cancel it out.
3x-5=0
+5 +5
3x=5
Divide 3 from both sides to cancel that out.
3x=5
/3 /3
x=5/3 or 1 2/3
So the answer is 1 2/3 or 1.67
---
hope it helps
Lena is saving money to buy a game. So far she has saved $12, which is three-fourths of the total cost of the game. How much does the game cost?
Answer:
12(3/4)=9
12/4=3
3•3=9
What is the slope of a line that is perpendicular to the line whose equation is y=45x−3
y
=
4
5
x
−
3
?
56 + 72 = ( + )
help plz
Answer:
128 = +
Step-by-step explanation:
56 + 72 = 128 (+)
What is the missing angle
Answer:
50
Step-by-step explanation:
30 + 100 = 130
130 + 50 = 180
all triangles are 180 degrees, so add it up and subtract.
Answer:
50 degrees will be your answer
Step-by-step explanation:
180-(30+100)=50
180 degrees is the whole angle of a triangle. so we subtract the two sides.
whoever gets this correct first gets brainlest!!
D. f(x)=4 (5/2)^x
Are really good tool for graphing problems is Demos.com
A company that manufactures tires produces a tire that has average life span of 65,000 kilometers with a standard deviation of 5,200 kilometers. The distribution of the life spans of the tire is normal. What percent of the tires last at least 60,000 kilometers ?
Answer:
=> P(X <= 62500) = P((X-mean)/sd < (62500-65000)/3000)
= P(Z < -0.8333)
= 1 - P(Z < 0.8333)
= 1 - 0.7967
= 0.2033
=> P(X > 68500) = P(Z > (68500-65000)/3000)
= P(Z > 1.1667)
= 0.1210
=> P(60500 < X < 69500) = P((60500-65000)/3000 < Z < (69500-65000)/3000 )
= P(-1.5 < Z < 1.5)
= 0.8664
=> for P(X < x) = 0.03, for Z = -1.88
X = mean + Z*Sd = 65000 - (1.88*3000) = 59360
Step-by-step explanation:
I'm not sure if that correct , I really try my best to help
The required percent of tires last at least 60,000 kilometers is about 91%.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation,
To solve this problem, we need to use the standard normal distribution. This is a special type of normal distribution where the mean is 0 and the standard deviation is 1. We can use this to standardize the tire life spans by subtracting the mean (65,000 km) and dividing by the standard deviation (5,200 km).
This gives us a standard normal distribution with a mean of 0 and a standard deviation of 1, and we can use a table or calculator to find the probability of a tire lasting at least 60,000 kilometers.
To do this, we need to find the probability that a tire lasts less than 60,000 kilometers and subtract this from 1. This probability is:
P(tire life < 60,000 km) = P(z < (60,000 - 65,000) / 5,200)
Where z is the standardized tire life span, and the probability is calculated using the standard normal distribution.
Calculating this, we find that P(tire life < 60,000 km) = P(z < -1.346) = 0.0913
Therefore, the probability that a tire lasts at least 60,000 kilometers is 1 - 0.0913 = 0.9087 or about 91%.
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what's the x-intercept
Answer:
perhaps around 7.5?
Step-by-step explanation:
hope this is right :)
I will mark brainliest!!!Use the coordinate grid to determine the coordinates of point A A. What are the coordinates of point A?
Answer:
(-1/4, 1 3/4)
Step-by-step explanation:
The first thing to look at is the scale of the grid. To do that, look at the x-axis (horizontal). The space between 0 and 1 has been divided into 4 equal parts, so each part (square) is worth 1/4 in the horizontal directio.
The scale on the y-axis (vertical) is similar. Again, the space between 0 and 1 is divided into 4 equal parts, so each square represents 1/4 in the vertical direction.
To get to point A, begin at the origin, then go left one space. The x-coordinate of point A is -1/4. Now go up to point A, moving up through 7 spaces. The y-coordinate of point A is 7/4 = 1 3/4.
What is the vertex of the parabola
Answer:
lallalalaal hiiiiii
Step-by-step explanation:
The standard form is written as y = ax ^2 + b + c
Using the given equation:
A = -5, b = 30 and c = 7
The x value of the vertex = -b/ 2/a = -30/2(-5) = -30/-10 = 3
To find the y value replace x with the x value and solve for y:
Y = -5(3)^2 + 30(3) + 7
Y = -45 + 90 + 7
Y = 52
The vertex is (3,52)
The answer is G
Alam Subscribes to a website for processing her digital pictures The Subscription is 5.95 Per month and each 4 x 6 photo cost $.19 each. If she has a total of $15.83 in her website account, How many photos did she print at least?
Group of answer choices {select all that apply}
52 or more
52 or Less
77 or more
As many as she wants
Answer:
77or more
Step-by-step explanation:
Andrew is shooting arrows at a target.
The experimental probability that one will hit a bulls eye is 1/4. If he shoots 60 arrows, how many times can he expect to hit a bulls eye?
Answer:
15
Step-by-step explanation:
60/4 = 15
So, Andrew would probably hit a bullseye 15 times.
Determine the location of a' after the image
has been dilated with a scale factor of 2
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
Step-by-step explanation:
║( - 5, 3 )║ = √34
What is the solution for this equation?
A.X=2
B. X = 4
C. X=8
D. x = 12
The right side equals 12 so the left side needs to equal 12
Subtract the 4 circles:
12-4 = 8
There are 2 x’s so 8/2 = 4
X = 4
The answer is B. X = 4
An animal shelter has dogs and
cats. There are 5 times as many
dogs as cats. There are 42 animals
in total.
How many dogs are at the
shelter?
Answer:
(2/3,10/3)
(.667,3.333)
Step-by-step explanation:
y=5x,x+y=4
Answer:
Your answer is 8 dogs
Step-by-step explanation:÷
42 ÷ 5 = 8.4 = 8
I hope this helps
have a nice day/night
mark brainliest please :)
The function m is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
B
m(x) = -2x² +24x54
-
m(x) = -2(x - 6)² + 18
m(x) = -2(x - 3)(x-9)
Write one of the zeros.
Answer:
m(x) = -2(x - 3)(x - 9)
One of the zeros of the function is x = 3
Step-by-step explanation:
The form that most quickly reveals the zeros (or "roots") of the function is:
m(x) = -2(x - 3)(x - 9)
To find the zeros of the function, we set m(x) equal to zero:
-2(x - 3)(x - 9) = 0
From this equation, we can see that the zeros (roots) of the function occur when either (x - 3) equals zero or (x - 9) equals zero. Solving these equations gives us the zeros:
x - 3 = 0
x = 3
x - 9 = 0
x = 9
Therefore, one of the zeros of the function is x = 3.
Hope this helps!