Bob and Sally's mortgage payment increases to $1632.00. Their roof starts to leak and they need to replace it. They budget $500 per month (replace the old student loan charge with roof expense).
Answers
Answer:
List of expenses is attached below.
Total Income = $160 + $6245 = $6405
1) Do Bob and Sally have a surplus or deficit?As mortgage payment has increased, we replace $1580 with $1632 in the table
Replace student loans with roof expense, we replace $544 with $500 in the table.
Find Total Expenses by adding all the values from the table.
Total Expenses = $6660.17
Total Income =$6405
They have a deficit
2) By how much?Deficit = $6660.17 - $6405 = $255.17
Deficit = $255.17
3) They decide to stop putting money in savings. How much their balance be?Savings = 10% of income = 10% OF $6405
Savings = (10/100)· $6405 = $640.5
New total expenses = $6660.17 - $640.5
New total expenses = $6019.67
Balance = Total income - New total expenses = $6405 - $6019.67
Balance = $295.33
4) Do you agree with them removing the savings to create surplus?
Yes, they had to remove the savings to fulfill their expenditures. Otherwise, they would have been spending more than their income, which couldn't last very long
Related Questions
Yuet solved the equation 6 a minus 2 b = 12 for a. Her steps are shown below. 1. Subtract 2b: 6 a = 12 minus 12 b 2. Divide by 6: a = 2 minus one-third b
Which statement about Yuet’s work is true?
In step 1 she needed to add 2b to both sides of the equation.
In step 1 she needed to divide by 2b on both sides of the equation.
In step 2 she needed to divide both sides of the equation by 6.
In step 2 she needed to subtract 6 from both sides of the equation.
Answers
Question:
Yuet solved the equation [tex]6a - 2b = 12[/tex] for a.
Her steps are shown below.
1. Subtract 2b: [tex]6a = 12 - 2b[/tex]
2. Divide by 6: [tex]a = 2 - \frac{b}{3}[/tex]
Answer:
In step 1 she needed to add 2b to both sides of the equation.
Step-by-step explanation:
Given:
The above steps shows how Yuet solved an equation
Required:
True statement about Yuet's work
The implication of the statement is to state what Yuet should have done instead of what she did.
In step 1, she subtracted 2b from both sides of the equation; this is wrong.
Instead of subtracting, she ought to add 2b to both sides of the equation.
The correct steps and result is as follows:
1. Add 2b: [tex]6a = 12 + 2b[/tex]
2. Divide by 6: [tex]a = 2 + \frac{b}{3}[/tex]
Hence, we can conclude that in step 1 she needed to add 2b to both sides of the equation.
Answer:
A:In step 1 she needed to add 2b to both sides of the equation.
Step-by-step explanation:
i did the test
If the sixth term in a geometric sequence is 1/625, and the common ratio is 15, find the explicit formula of the sequence.
A. an=(15)n−1 for n ≥ 1
B. an=(5)⋅(15)n−1 for n ≥ 2
C. an=(5)⋅(15)n−1 for n ≥ 1
D. an=(1)⋅(15)n−1 for n ≥ 2
Answers
Answer:
The explicit formula of the sequence is [tex]a_n=5(\frac{1}{5})^{n-1}[/tex] for [tex]n \geq 2[/tex]
Step-by-step explanation:
Sixth term in a geometric sequence =[tex]\frac{1}{625}[/tex]
Common ratio =[tex]\frac{1}{5}[/tex]
Formula of nth term =[tex]a_n=ar^{n-1}[/tex]
Substitute the values
So,[tex]\frac{1}{625}=a(\frac{1}{5})^{6-1}\\\frac{1}{625}=a(\frac{1}{5})^{5}\\\frac{1}{625} \times 5^5=a[/tex]
5=a
Substitute the value in 1
So,[tex]a_n=5(\frac{1}{5})^{n-1}[/tex]
So, Option C is true
Hence the explicit formula of the sequence is [tex]a_n=5(\frac{1}{5})^{n-1}[/tex] for [tex]n \geq 2[/tex]
Answer :)
C is the answer... so yea ★
What is the value of f(-12), if f(x) = 4x - 12?
a. -48
b. -36
c. -60
d. 36
Answers
Answer:
A. -48
Step-by-step explanation:
To find f(-12), we put -12 in for x and solve like shown:
[tex]f(-12)=(4)(-12)\\f(-12)=-48[/tex]
Answer:
a. -48
Step-by-step explanation:
n is a positive integer
i) Explain why n(n+1) must be an even number?
ii) Explain why 2n-1 must be an odd number?
Answers
Answer:
Step-by-step explanation:
product of two consecutive numbers is always even.
n(n+1)
case 1
if n is odd,let n=2k+1,where k is an integer
n+1=2k+1+1=2k+2=2(k+1)
n(n+1)=(2k+1)[2(k+1)]=2(2k+1)(k+1)=even number.
case 2
if n is even,let n=2m,where m is an integer.
n+1=2m+1
n(n+1)=2m(2m+1)=even integer.
so in both cases n(n+1) is even.
These dot plots show hourly earnings for a sample of workers in two
different careers.
Career A
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Career B
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Hourly eamings ($)
What are the differences between the centers and spreads of these
earning distributions?
Select two choices: one for the centers and one for the spreads.
O A. Centers: Career A has greater median hourly earnings
than career B.
B. Spreads: The hourly earnings for career B are more spread
out.
O c. Spreads: The hourly earnings for career A are more spread
out.
O D. Centers: Career B has greater median hourly earnings than
career A
Answers
Answer:
B and D
Step-by-step explanation:
The statement (A) Centres: Career A has greater median hourly earnings than career (B) and statement (B) Spreads: The hourly earnings for career B are more spread out are correct.
What is dot plot?A dot plot, also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.
We have given dot plot in the picture.
As we can see from the dot plot:
Median for career A = 35
Median for career B = 25
And career B dot plot is more spread.
Thus, the statement (A) Centres: Career A has greater median hourly earnings than career (B) and statement (B) Spreads: The hourly earnings for career B are more spread out are correct.
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Find the area of the trapezoid below.
4 cm
3cm
8 cm
Answers
24
I hope this is helpful
:)
Answer:
28
Step-by-step explanation:
base = ( a ) 4
base = ( b ) 3
height = ( h ) 8
A = a + b/2 x h = 4 + 3/2 x 8 = 28
|-26 |+|-19] - [13] =
=|口
Answers
Answer:
32
Step-by-step explanation:
I hope that those brackets mean the absolute value, which means that you will make both 26 and 19 positive, then adding which gives you 45 and then subtract 13, giving you 32.
GIVING OUT BRAINLIEST!! All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weight of the sacks of sugar. Suppose that two sacks of sugar together with three sacks of flour weigh no more than $40$ pounds, and that the weight of a sack of flour is no more than $6$ pounds more than the weight of two sacks of sugar. What is the largest possible weight (in pounds) of a sack of flour?
Answers
Answer:
flour = 11.5, sugar has to be equal to 2.75 pounds.
Step-by-step explanation:
your 2 inequalities are:
2x + 3y <= 40
y <= 2x + 6
the second equation can be shown as:
-2x + y <= 6
solve the equality portion of these 2 inequalities.
those are the following equations:
2x + 3y = 40
-2x + y = 6
add these equations together and solve for y to get
y = 11.5
that appears to be a break even point.
when y = 11.5, the first inequality is solved as follows:
2x + 3y <= 40
replace y with 11.5 and the inequality becomes:
2x + 34.5 <= 40
solve for x to get
x <= 2.75
when y = 11.5, the second inequality is solved as follows:
-2x + y <= 6
replace y with 11.5 and the inequality becomes:
-2x + 11.5 <= 6
solve for x to get x >= 2.75
this indicates that, when y = 11.5, x has to be equal to 2.75.
both constraints are satisfied.
Answer:
Let each sack of sugar weigh $s$ pounds and each sack of flour weigh $f$ pounds. Then from the given information, $2s + 3f \le 40$ and $f \le 2s + 6.$ Also, $s > 0$ and $f > 0.$ We graph these the intersection of these inequalities below.(document attached
We see that the largest possible value of $f$ occurs at the points where the lines $2s + 3f = 40$ and $f = 2s + 6$ intersect. Solving for $f,$ we find $f = \boxed{\frac{23}{2}}.$
Step-by-step explanation:
Jose drove 300 miles on his vacation. He drove an average of 1.5 times faster on the second 150 miles of his trop than he did on the first 150 miles of his trip. How much time did he spend driving? Let x = his speed on the first half of the trip.
Answers
Answer:
total time = 250/x
Step-by-step explanation:
Jose drove 300 miles on his vacation. He drove an average of 1.5 times faster on the second half of the trip. The time he spent driving can be calculated as follows.
The first half of the trip
distance = 150 miles
time = ?
speed = x
speed = distance/time
time = distance/speed
time = 150/x
The second half of the trip
distance = 150 miles
time = ?
speed = 1.5x
time = distance/speed
time = 150/1.5x
Total time travelled = 150/x + 150/1.5x
total time = 150/x + 100/x =150 + 100 /x = 250/x
total time = 250/x
I really urgently need help if you have done this pls I beg you help me
Answers
Answer:
a) 34m/s
b) 42.5 m/5
Step-by-step explanation:
The average speed is the distance divided by the time. This is:
Vaverage = 1700m/50s=34 m/s
The value of K is, knowing that the area under the curve is 1700
k*30+k*20/2=1700
30k + 10k = 1700
40k=1700
k=42.5
Which of the following is equivalent to
Answers
Answer:
1/6
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
Which of the following graphs shows b < 4 ?
Answers
Answer:
C
Step-by-step explanation:
< is an open circle and graph C is the only one with an open circle
Answer:
Choice C or the third one down
Step-by-step explanation:
b < 4
There is an open circle at 4 since there is no equals sign
and the lines goes to the left
Please!!!! Order the following from least to greatest!!!
Answers
Answer:
sqrt2<1.5<sqrt7<2.8
On a coordinate plane, a parallelogram has points A (negative 3, 4), B (3, 4), C (1, negative 2), and D (negative 5, negative 2). If a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'? (–5, –2) (1, –12) (4, –15) (–9, –6)
Answers
Answer:
1,-12
Step-by-step explanation:
The coordinates of D' after translation is (1, -12).
Option B is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
Parallelogram coordinates:
A = (-3, 4)
B = (3, 4)
C = (1, -2)
D = (-5, -2)
Now,
Translation of (x, y) → (x + 6, y - 10) is applied.
This means,
Parallelogram coordinates:
A' = (-3, 4) → (-3 + 6, 4 - 10) = (3, -6)
B' = (3, 4) → (3 + 6, 4 - 10) = (9, -4)
C' = (1, -2) → (1 + 6, -2 - 10) = (7, -12)
D' = (-5, -2) → (-5 + 6, -2 - 10) = (1, -12)
Thus,
The coordinates of D' is (1, -12).
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An automatic dog feeder in the shape of a cone has a height of 18 cm. if it holds about 8,308 cm of dog food, what is the radius rounded to the nearest cm?
Answers
Answer:
35.3
Step-by-step explanation:
13 - 5 5/6 in simplest form
Answers
Answer:
7 1/6
Step-by-step explanation:
13 - 5 5/6
Borrow 1 from the 13 in the form of 6/6
12 6/6 - 5 5/6
Subtract the whole numbers
12 -5 =7
Subtract the fractions
6/6-5/6 = 1/6
7 1/6
PLEASE HELP I WILL MARK BRAINLIEST!
A storekeeper wishes to sell 100 pounds of mixed nuts for $1.75 a pound. He mixes peanuts worth $1.60 a pound with cashews worth $1.85 a pound. How many pounds of each does he use?
Answers
Answer:
40 pounds of nuts worth $1.60
60 pounds of nuts worth $1.85
Step-by-step explanation:
This is a mixture problem, so see the attachment below:
*Sorry if it's unclear, but I hope it helps!
Evaluate 2x − 4 for x = 9. Evaluate −b + 8 for b = 3. Find the value of the expression 12x+3 if x = 12. For the equation y = 3x + 4, find the value of y if x = 2. The expression $25 + $10h gives the amount of money that Stephanie earns per day, where h is the number of hours she works. How much does she earn if she works 4 hours? Simplify each of the following expressions: 3(x + 2) + 4(x − 2) 2(x + y) − 3(x + y) −(y + 8) + 4(6 − y) 2(4x + 3) − 3(x + 1)
Answers
Answer:
Answers are below and bolded for you. Questions are underlined.
Step-by-step explanation:
Evaluate 2x − 4 for x = 9.
2×9-4=
18-4=
16
Evaluate −b + 8 for b = 3.
-3+8=
5
Find the value of the expression 12x+3 if x = 12.
12×12+3=
144+3=
147
For the equation y = 3x + 4, find the value of y if x = 2.
y=3×2+4
y=6+4
y=10
The expression $25 + $10h gives the amount of money that Stephanie earns per day, where h is the number of hours she works. How much does she earn if she works 4 hours?
If she works 4 hours, our equations is now:
$25+$10×4=
$25+$40=
$65
Simplify each of the following expressions:
3(x + 2) + 4(x − 2)=
3x+6+4x-8=
7x-2
2(x + y) − 3(x + y) −(y + 8) + 4(6 − y)=
2x+2y-3x+3y-y+8+24-y=
-x+2y+3y-y+8+24-y=
-x+4y+8+24-y=
-x+3y+32 or 32-x+3y
2(4x + 3) − 3(x + 1)=
8x+6-3x+3=
5x+9
Simplify the resulting equation x = 0 • 11 • 70?
Answers
x=0
Hope this helped. :)
Sketch the graph of the given equation. y = x2 + 8x +15
Answers
Which of the following equations describes the graph?
Answers
I would suggest using Desmos (a graphing website and app) to graph the equations and see which on fits the graph shown, in the future.
How many edges and vertices does a prism
with a 100-sided end face have?
Answers
Answer:
300 edges and 200 vertices
please help me answer it
Answers
Answer:
i dont know toooo pls answer it fast......................................
Step-by-step explanation:
i need it..........................
Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be used to relate the total distance, d, in miles to the time, t, that Jillian spent jogging. What are the independent and dependent variables?
The independent variable is distance and the dependent variable is time.
The independent variable is time and the dependent variable is distance.
The independent variable is distance and the dependent variable is speed.
The independent variable is speed and the dependent variable is distance.
Answers
Answer:
The answer is option 2.
Step-by-step explanation:
In the question, the independent variable is time and dependent is distance. As the time changes, the distance will also change it means the distance depends on time.
For example,
[tex]d = 0.5 + 5t[/tex]
Let t = 1,
[tex]d = 0.5 + 5(1)[/tex]
[tex]d = 5.5 \: miles[/tex]
Let t = 5,
[tex]d = 0.5 + 5(5)[/tex]
[tex]d = 25.5 \: miles[/tex]
Therfore, as time increases, distance will also increase.
Answer:
B: The independent variable is time and the dependent variable is distance.
Step-by-step explanation:
edg2021
The height of a ball dropped from the top of a 450-foot tall building can be described by the expression
450 - 16r, where
I represents the time, in seconds, after the ball is dropped.
What is the height of the object
4 seconds after it is dropped?
Answers
Answer:
The answer is 386 feet.
Step-by-step explanation:
This equation simply asks to plug in a value that gives you the final value of the height. 450 is the initial height, and r (or l) is referred to as the amount of seconds after the item is dropped. 16 is the constant value of feet that the ball drops within one second.
Therefore, by substituting 4 for r (or l) and multiplying it by 16, you will receive 64 feet in 4 seconds. Finally, you need to subtract this from 450 feet, giving you a final answer of 386 feet.
If a = b, then xa = xb represents the property of equality. Question 6 options: A) multiplication B) symmetric C) addition D) reflexive
Answers
Answer:
A) multiplication
Explanation:
is a=b, then xa=xb, then the two are equal by the property of multiplication.
Answer:
Multiplication
Step-by-step explanation: I took the test
Find the circumference of the largest circle that can be inscribed inside a square whose side is 5" ( with explanation )
Answers
Answer:
22.21
Step-by-step explanation:
diagonal of square = 5 squareroot 2
diameter = 5 square root 2
circumfrence = 22.21
A fungus is infecting trees in a state park. Each week, the number of trees infected with the fungus doubles. Five weeks after the fungus is discovered, park rangers determine that 1,280 trees are infected.
Answers
Answer:
Week 1: 80
Week 2: 160
Week 3: 320
Week 4: 640
Week 5: 1280
Step-by-step explanation:
Week 5 there are 1280 infected trees, the infection numbers double weekly. Divide week 5 (1280) by 2 and you find week 4 (640) divide that by 2 and you find week 3 (320) divide that by 2 and you find week 2 (160) divide that by 2 and you find the first week (80)
The Number of infected trees are:
Week 1: 80
Week 2: 160
Week 3: 320
Week 4: 640
Week 5: 1280
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
In week 5, 1280 trees were infected.
As, Each week, the number of trees infected with the fungus doubles.
In week 4:
Number of trees infected = 1280 / 2 = 640
In week 3:
Number of trees infected = 640/ 2 = 320
In week 2:
Number of trees infected = 320 / 2 = 160
In week 1:
Number of trees infected = 160/ 2 = 80
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Will give brainliest Please answer it’s due tonight
Answers
2/9
there are two ways it could land on the colors in any order and 9 other possibilities
Answer:
2/9
Step-by-step explanation:
simple logic
Which expression is a sum of cubes?
-27a3b6+8a9b12
-9ab6 +9610
9ab6 + 8a12
27a3b8+8a9b12
Answers
Answer:
The first possible answer, -27a³b^6 + 8a^9b^12, is the sum of cubes.
Step-by-step explanation:
The middle two possible answers involve " a " with no exponent, so these could not be correct.
Looking at the first and fourth possible answers, we see that the first term of -27a3b6+8a9b12 is a perfect cube; it could be re-written as (-3ab²)³. The second term could be rewritten as (2a³b^4)³. So the first possible ansswer is the SUM of CUBES.