The net income is the difference between the gross income and the total expenses
The net monthly balance is $1975
How to determine the net balanceThe monthly income is given as:
Income = $2700
The expenses are given as:
Fixed $625;
Living $1,200 (Annual)
The living expense is given per annual.
So, we start by calculating the monthly living expense
This gives
Living =$1200/12
Living = $100
The net balance is then calculated as:
Net = Income - Living - Fixed
This gives
Net = $2700 - $100 - $625
Net = $1975
Hence, the net income is $1975
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Find the slope for the following pair of points:
(-14,3) and (-3, 0)
Answer:
slope = - [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 14, 3 ) and (x₂, y₂ ) = (- 3, 0 )
m = [tex]\frac{0-3}{-3-(-14)}[/tex] = [tex]\frac{-3}{-3+14}[/tex] = - [tex]\frac{3}{11}[/tex]
Answer:
The slope is M= -3/11 (M= Negetive three over eleven)
Step-by-step explanation:
Tomás found the area of a rectangle to be 1/6 square inch. Which could be the sidelengths of the rectangle?
A) 1/4 inch and 2/3 inch
B) 1/3 inch and 1/3 inch
C) 1/6 inch and 1/6 inch
D) 1/2 inch and 1/12 inch
Explanation:
area = length*width
area = (1/4)*(2/3)
area = (1*2)/(4*3)
area = 2/12
area = 1/6 of a square inch
This confirms that choice A is a correct set of dimensions to lead to an area of 1/6 of a square inch.
Choice B leads to (1/3)*(1/3) = 1/9 which means we can rule it out.
Choice C leads to 1/36 and choice D leads to 1/24.
Which numerical expression represents 1/2 the sum of 7 and 5?
A. (7+5) x2
B. (7+5) x 1/2
C. 1/2 + 7 +5
D. 2 ÷ 7 + 5
Answer:
B
Step-by-step explanation:
X⁴+Y⁴= 641
X+Y= 7
Find the value of X and Y
The upper-left coordinates on a rectangle are (-1,4), and the upper-right coordinates are (3,4). The rectangle has a perimeter of 24 units.
Answer:
The area would be 32
Step-by-step explanation:
Let's call the side lengths a and b, so then therefore a + b = 12
after this, we know that the length of a is 4, from the distance formula, and so the length of b is 8, so the area is 4*8 which is 32
if y value decreases each time a x value increases by 1 ,the slope of the Line is___?
Answer:
In this case the slope of the line would be negative.
SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME
Answer:
Step-by-step explanation:
f(x) = x⁴ - 8x² + 16
f'(x) = 4x³ - 16x = 4(x³ - 4x) = 4x(x² - 4) = 4x(x - 2)(x + 2)
f'(x) = 0, x = 2, -2
f"(x) = 4(3x² - 4)
f''(0) = -16 < 0, f""(2) = f''(-2) 3(12 - 4) > 0
so f(2) and f(-2) are minimum values
f(0) is maximum value.
f(0) = 16, f(2) = f(-2) = 2⁴ - 8*2² + 16 = 0
Maximum = 16, minimum value = 0
-∞ < x < -2, f'(x) < 0
-2 < x < 0, f'(x) > 0
0 < x < 2, f'(x) < 0
2 < x < ∞, f(x) > 0
increase: (-2, 0) and (2, ∞)
decrease: (-∞, -2) and (0, 2)
‼️WILL GIVE BRAINLIEST
(Please answer all questions!)
ΔABC is translated 4 units to the left and 8 units up. Answer the questions to find the coordinates of A after the translation.
1. Give the rule for translating a point 4 units left and 8 units up. (2 points)
2. After the translation, where is A located? (2 points)
Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection.
3. Give the rule for reflecting a point over the y-axis. (2 points)
4. What are the coordinates of A after the reflection? (2 points)
5. Is the final figure congruent to the original figure? How do you know? (2 points)
Answer:
1) (x-4 , y+8)
2) (3,13)
3) (x,y) -> (-x,y)
4) (-7,5) This after reflection of original triangle
5) Yes, reflections don't change size, only position
Step-by-step explanation:
Answer: i put this here so you can mark the other person brainlest
Step-by-step explanation:
there are 36 green, 22 white,30 purple, and 14 blue gumballs in the gumball machine. what is the probability of getting a white gumball
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
A
Step-by-step explanation:
A rational number that doesn't go on forever. Like Pi, that is not a rational number. But, 2.3 would be a rational number.
72/100 = .72 which is a rational number
Like I said before Pi goes on forever so it is NOT a rational number.
1 1/3. One is a rational number but 1/3 is o.3 with the 3 repeating forever. So it WOuld NOT be a rational number.
8/526 has numbers that go on forever so it would NOT be a rational number.
0.212212221 goes on forever. The three dots (...) signal that the decimal goes on. SO it would NOT be a rational number.
5/9= 0.555555555555555555555... the 5 goes on forever making it NOT a rational number.
50PTS Chef Alfredo has noticed some changes in his business. He usually sells 45 pizzas on
Sunday afternoons. During football season, he has big television screens televising NFL
games and he sells 72 pizzas. What is the percent change and is it an increase or
decrease?
Answer:
60% increase
Step-by-step explanation:
The formula for percent change: new value-old value and divide this by the old value. Then multiply by 100
So, 72-45=27
27/45=0.6
0.6*100=60
60%
dose anyone know adding fractions with unlike denominators meaning? I need help! anything will help, have nice day/night!
Answer:
Yes, I can help. Do you have any specific problems, or do you need an overview?
Step-by-step explanation:
Which statement is represented by the equation below?
15 × 5 = 75
Select one:
The number 15 is 5 less than 75.
The number 15 is 5 times as many as 75.
The number 75 is 15 more than 5.
The number 75 is 5 times as many as 15.
Answer:
D
Step-by-step explanation:
if 15*5 is 75, than 75 is 5 times bigger than 15
The equation 15 × 5 = 75 represented the statement The number 75 is 5 times as many as 15, so option D is correct.
What is the equation?The equals sign is used in equations to indicate the equality of two expressions in a formula. It is a mathematical statement that says, "this is equivalent to that," in other words. There appears to be an equal sign in the middle, a mathematical expression on the right, and a mathematical expression on the left.
Given:
15 × 5 = 75
Assume the number is x = 5,
Here, you can see that x is 15 times to equal 75,
So, the above statement can be written as the number 75 is 5 times 15.
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Your friend claims that any two arcs with the same measure are similar. Your cousin claims that any two arcs with the same measure are congruent. Who is correct?
Answer:
The same measure of what? The angle of the arc or the length? If it is the same angle, then it is similar. If it is the same length and angle then it is congruent.
Step-by-step explanation:
Which ordered pair represents the reflection of the point (-4, 6) across both axes? O (4,6) O (4, -6) 0 (-4,6) O (-4,-6)
Reflecting across the Y axis, the y value stays the same and the X value become opposite:
(-4,6) would become (4,6)
Now reflecting across the X axis the x value remains the same and the Y value becomes the opposite:
(4.6) would become (4,-6)
Answer: (4,-6)
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
-6 1/9
Step-by-step explanation:
-3 1/3 x 1 5/6 = -10/3 x 11/ 6
= -110/18
= -6 1/9
Your welcome, feel free to ask any questions in the comments section of this answer :D
Eve plays basketball. She makes 5 free throws for every 3 free throws that she misses. If she missed 36 free throws at her last practice, how many free throws did she make?
Answer:
60
Step-by-step explanation:
We can write a proportion to solve
5 made x made
------------ = -----------
3 missed 36 missed
Using cross products
5 * 36 = 3x
Divide each side by 3
5 * 36/3 = 3x/3
50 = x
She made 60
If A and B are events with P(A)=0.7, P(A OR B)=0.77, and P(A AND B)=0.13, find P(B).
Answer:
P(B) = 0.20
Step-by-step explanation:
For these events, which are not independent or mutually exclusive, the relation between the various probabilities is ...
P(A or B) = P(A) +P(B) -P(A and B)
Solving for P(B), we find ...
P(B) = P(A or B) +P(A and B) -P(A)
P(B) = 0.77 +0.13 -0.7 = 0.20
The probability of B is 0.20.
__
Additional comment
The formula applies to independent and mutually exclusive events, as well. For independent events, P(A and B) = P(A)·P(B). For mutually exclusive events, P(A and B) = 0.
A cup of 205° coffee on a table in a 72° room loses approximately 15% of its temperature every minute until it reaches room temperature. The resulting exponential model for the temperature, t, after m minutes can be approximated by the model t = 133(0.85)m + 72.
What is the temperature after 22 minutes?
The temperature after 22 minutes is 75.75 degrees
Equations and exspressionsGiven the resulting exponential model for the temperature, t, after m minutes can be approximated by the model t = 133(0.85)^m + 72.
If the time used is 22 minutes, the required temperature dring this time is expressed as:
t = 133(0.85)^22 + 72
t = 3.725 + 72
t = 75.75
Hence the temperature after 22 minutes is 75.75 degrees
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The USF Student Government has seven elected student representatives. Each student representative is equally likely to serve in any of the positions. What is the probability of randomly selecting a President and a vice president?
A. 0.024
B. 0.33
C. 0.033
D. 0.002
Answer:
i don't know honestly I just want my free answers man
How do I solve this step by step?
Answer:
larger #=32
smaller #= 26
Step-by-step explanation:
We can solve this by using x for the larger number.
larger #= x
smaller #= x-6
x+x-6=58
2x-6=58
2x=64
x=32
The larger number is 32. To find the smaller # you simply substitute the variable x-6 which is now 32-6 which is 26.
Hope this helps!
Answer:
smaller number = 26
larger number = 32
Step-by-step explanation:
x = smaller number
y= larger number =x+6
so
x+y=58
x+6+x= 2x+6=x58
2x=58-6=52
x=522= 26
y=x+6=26+6 = 32
checking
x+y=58
26+32= 58
jayden is 8 years old and his brother Andy is 7 years younger when Jayden is 20 years old how old will Andy be?
Answer:13
Step-by-step explanation Jayden is 8 Andy has to be 1. Jayden is 20 Andy is 7 years younger so the answer would be 13
Malik read that the land area of Alaska is about 5.7x10
Answer:
the answer is 60
Step-by-step explanation:
first you need to round 5.7 to the nearest whole number
6
after that multiply by 10 and you've done it
60
y=10x+5 in function table
Answer:
y=5+10x
Add 10x to both sides of the equation.
Susan received grades of 78,93, 82 and 76 on four math exams . what is the lowest grade she can receive on her next math exam and have an average of a lease 85 on the five exams?
=========================================================
Explanation:
x = score on the fifth exam
The set {78,93,82,76,x} sums to 78+93+82+76+x = 329+x
Divide this over 5 since we have five total scores
(329+x)/5
That fraction represents the final average grade
Susan wants this average to be at least 85
[tex]\text{average} \ge 85\\\\\frac{329+x}{5} \ge 85\\\\329+x \ge 5*85\\\\329+x \ge 425\\\\x \ge 425-329\\\\x \ge 96\\\\[/tex]
Therefore, Susan must get a 96 or higher on the next exam if she wants to aim for the average to be 85 or larger.
In other words, the lowest grade she can get is a 96
A box contains ten slips of paper numbered 1 through 10. Find the
probability and describe the likelihood of each event.
a. Choosing a number greater than 2
b. Choosing a number that is a multiple of 2
c. Choosing a number that is less than 10
Answer:
a - 4/5
b - 1/2
c - 9/10
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10
8/10 4/5
5/10 1/2
Johanna budgets $1,471 each month for fixed expenses. What percent of her net monthly income is that if she nets $2,611 semimonthly? Make answer a percent then round to a whole percentage. Do not put the % sign in blank as it already knows it is in percentage form.
28%
Step-by-step explanation:
How to calculate the percentage
From the information given, Johanna budgets $1,471 each month for fixed expenses his net 2,611 semi monthly.
The percentage will be;
= 1,471/(2,611 × 2) × 100
= 1,471/5222 × 100
= 28.1692837993
= 28%
[RevyBreeze]
solve trigonometric function
sin∅ + cos∅ × cot∅
Answer:
[tex]\csc(\theta)[/tex]
Step-by-step explanation:
[tex]\cot(\theta)=\dfrac{1}{\tan(\theta)}=\dfrac{\cos(\theta)}{\sin(\theta)}[/tex]
[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]
[tex]\implies \sin(\theta)+\cos(\theta)\times\cot(\theta)=\sin(\theta)+\cos(\theta)\times\dfrac{\cos(\theta)}{\sin(\theta)}[/tex]
[tex]=\sin(\theta)+\dfrac{\cos^2(\theta)}{\sin(\theta)}[/tex]
[tex]=\dfrac{\sin^2(\theta)}{\sin(\theta)}+\dfrac{\cos^2(\theta)}{\sin(\theta)}[/tex]
[tex]=\dfrac{\sin^2(\theta)+\cos^2(\theta)}{\sin(\theta)}[/tex]
[tex]=\dfrac{1}{\sin(\theta)}[/tex]
[tex]=\csc(\theta)[/tex]
Pls help I need help
Answer:
10x + 2
Step-by-step explanation:
lim f(x + h) - f(x) / h = f'(x) = (5x² + 2x)' = 10x + 2
h→0
The area of a square is 900cm, Find the perimeter
Answer:
3600
Step-by-step explanation:
the formula to find the area of a square is:
A=a2
the formula to find the perimeter of a square is:
P=4a
hope that helps
Answer:
30 cm
Step-by-step explanation:
we know that the area of a square is axa (a side)
that is a^2
a^2 = 900
prime factorization of 900 = 2x3x5
=30 cm
( verification ) axa = 30x30 ='900
perimeter = 4x side
side=30
=30x4
=120 cm
therefore ans done
