Using the given information, Aina's net income is for the month is 35,834 PHP
Calculating Net incomeFrom the question, we are to determine the net Aina's net income
Aina's net income is the value of her total income minus all other expenses
From the given information,
Aina's monthly salary is 35,000 PHP per month and also receives 3,500 PHP for a monthly allowance
∴ Aina's total income = 35,000 PHP + 3,500 PHP
Aina's total income = 38,500 PHP
Sum of her other expenses = 1,466 PHP + 300 PHP + 800 PHP + 100 PHP
Sum of her other expenses = 2,666 PHP
∴ Aina's net income = 38,500 PHP - 2,666 PHP
Aina's net income = 35,834 PHP
Hence, Aina's net income is for the month is 35,834 PHP.
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The zigzag crystal vase has height 20 centimeters. The cross sections parallel to the base are always rectangles that are 12 centimeters wide by 6 centimeters long.
Answer:
14440cm3
Step-by-step explanation:
Wrote 7/19 as a percent round to the nearest tenth of a percent
Answer:
36.8
Step-by-step explanation:
Hope this should do the trick if you can find this answer; 36.8.
In the diagram, the height of the cone is 3 times the
radius. The volume of the cone is 343 Pie cm^3?. What is the
height of the cone?
Answer:
height = 21 cm
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
h = 3rVolume = 343π cm³Substituting given values into the formula and solving for r:
[tex]\implies \sf 343 \pi=\dfrac{1}{3} \pi r^2(3r)[/tex]
[tex]\implies \sf 343=\dfrac{1}{3}\cdot3r^3[/tex]
[tex]\implies \sf 343=r^3[/tex]
[tex]\implies \sf r=\sqrt[3]{343}[/tex]
[tex]\implies \sf r=7\:cm[/tex]
As h = 3r, substitute found value of r into the equation and solve for h:
[tex]\implies \sf h = 3r[/tex]
[tex]\implies \sf h=3(7)[/tex]
[tex]\implies \sf h=21\:cm[/tex]
Bruno says that the product n x 4/5 is greater than 4/5 because multiplication always increases a number. Which of the following values for show that Bruno is incorrect? 8/8 6/5 5/4 3/4 2
Answer:
The fourth option shows how Bruno is incorrect
Step-by-step explanation:
Multiplication does not always result in a number greater than the initial value. If n can be any value, then Bruno's claim is false. For instance, multiplying a value greater than one by a decimal will perform the inverse operation (division):
3 × 0.87 = 2.61
When multiplying fractions of 1, this occurs when the multiplied number is greater than the multiplier:
0.55 × 0.21 = 0.1155
If decimals are not allowed, multiplying positive and negative values will give the positive result but with the inverse sign, which is less than the initial one since the result is less than 0:
12 × -2 = -24
Now back to the example. If we let n = 0.75 (3/4);
0.8 × 0.75 = 0.6
Hope that clears things up.
4 divided by 5yards 1 foot
What is the value of x in the solution to this system of equations?
Answer:
x = 10/3
Step-by-step explanation:
3x = 2y + 14
y = -6x + 18
3x = 2(-6x+18) + 14
3x = -12x + 36 + 14
15x = 50
x = 50/15
x = 10/3
Answer:
10/3
Step-by-step explanation:
3x= 2y+14-------(1)
y= -6x+18------(2)
from equation (2) put y= -6x+18 into equation (1)
3x= 2(-6x+18)+14
3x= -12x+36+14
3x+12x= 50
15x= 50
dividing bothsides by 16
x = 50/15
x= 10/3
find g(-3) g(2) g(4)
Answer:
[tex]\frac{1}{2}[/tex] , 2 , 4
Step-by-step explanation:
x = - 3 ≠ 2 , then
g(- 3) = [tex]\frac{1}{2}[/tex] × (- 3)² - 4 = [tex]\frac{1}{2}[/tex] × 9 - 4 = [tex]\frac{9}{2}[/tex] - 4 = [tex]\frac{1}{2}[/tex]
x = 2 then g(2) = 2
x = 4 ≠ 2 , then
g(4) = [tex]\frac{1}{2}[/tex] × 4² - 4 = [tex]\frac{1}{2}[/tex] × 16 - 4 = 8 - 4 = 4
Use the box plots comparing the number of boy dogs and number of girl dogs attending doggy daycare each day for a month to answer the questions.
The boxplots 1 and 2 represent the distribution of data using a five number summary for the male and the female attendance
(a) The IQR of the male's dataThe first box plot represents the male's boxplot.
So, we have:
Upper quartile (Q3) = 14Lower quartile (Q1) = 2The IQR is the difference between the above values
IQR = Q3 - Q1
So, we have:
IQR = 14 - 2 = 12
So: the IQR for the males' data is 12
(b) The difference in the median valuesFrom the first and second boxplots, we have:
Median male = 10Median female = 18The difference (d) between these values is
d = 18 - 10
d = 8
So: the difference between the median values of each data set is 8
(c) The distribution of dataThis is dependent on whether the dataset has an outlier or not.
From the figure, we have:
Male's data: presence of an outlier - use medianFemale's data: absence of an outlier - use meanSo: the male dataset is measured by median, while the mean is a better measure of center for the female's data
(d) Reason for outliersA possible reason for outliers is sampling problems
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Answer:
I took the test but my quewstion was a little different sorry
48 divided by 76.8
I am very confused on the two digits numbers
pls help with this problem
Answer:
D
Step-by-step explanation:
The median is 8, so it is less than 9.
Answer:
Option D is not true
Step-by-step explanation:
The mode is the highest occuring number.From the data.
The mode is 9 and is greater than 7.This mean option A is correct.
The range is the difference between the highest number and the lowest which is 15-4 =11.Hence option C is correct because the range is more than 10.
The median when the data is arranged in either ascending or descending order i.e (15,12,11,9,9,7,5,4).Hence,the middle numbers are 9 and 9.To get the median,we get the average of the numbers which will be 9+9=18 ÷2= 9. The median is 9 which means option D is not correct.
The mean will be the addition of the numbers divided by the number of items
[tex] \frac{9 + 15 + 5 + 7 + 9 + 12 + 11 + 4}{8} [/tex]
[tex] = \frac{72}{8} [/tex]
[tex] = 9[/tex]
The mean is equal to 9 which means Option B is correct.
This implies that the only option which is incorrect is option D
dentify the 17th term in the arithmetic sequence.
a1 = 11, d = −2
PLEASE HELP!!!!! IMA DESPRATE
The arithmetic sequence has a common difference, and a first term and the 17th term in the arithmetic sequence is -21
How to determine the 17th term?The given parameters are:
First term, a = 11Common difference, d = -2The nth term of an arithmetic progression is:
Tn = a + (n - 1)d
So, we have:
T17 = a + 16d
Substitute the given values
T17 = 11 - 16 * 2
Evaluate
T17 = -21
Hence, the 17th term in the arithmetic sequence is -21
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If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?
do answer.
Find the x-intercept of the line whose equation is 8x + 2y = 4.
04
02
1/2
Answer:
1/2
Step-by-step explanation:
The x-intercept is a point on the graph that is located on any point of x but must have a y-value of 0. To find the x-intercept, we must set y in the given equation equal to 0.
8x + 2y = 4
8x + 2(0) = 4
8x = 4
x = 4/8
x = 1/2
What is the independent variable in d= 43t ?
Answer:
t (based on the information you have given)
Step-by-step explanation:
d is dependent on the equation and 43 will probably change
Answer:
43
Step-by-step explanation:
In the expression d = 43t, two variables are visible. One represents constants and the other represents the dependent variable. X is often used to represent the independent variable which is the one that is always manipulated ( I CHANGE ). The 43 represents the variable that is always changing and being manipulated. 43 represents X as it is the representing the manipulated variable.
Will a pencil of length 19cm fit in the beaker without poking out of the top?
Answer:
Pencil will poke out everytime, no matter if it lays diagonally, or strictly vertically, because pencil's length is greater than the height and diagonal of the beaker
A. 0.31
B 0.52
C 0.56
D 0.26
Answer:
0.56
Step-by-step explanation:
Find th areas and circumference 5 cm 2 cm
Answer:
The Area is 10cm, and the perimeter is 14cm
Step-by-step explanation:
Area:
a = w · l 5cm · 2cm =10cm
Perimeter:
p = 2(l+w) 2(5 + 2) = 14
At 1:00 pm, Ryan realizes his computer has been unplugged. He needs to work on the computer in his car and wants it to be fully charged. The image on the right represents the time it took for the laptop to charge.
Resources:
Desmos Guide
Regression tool
Line of Best Fit Video
When can Ryan expect his laptop to be fully charged? Do a quick estimate and explain your reasoning.
He does a quick calculation at 1:17 and estimates the computer charges 1% a minute. He estimates it will be fully charged by 2:30. Was he right?
Was his prediction over or under?
Graph all the data points. Draw an original graph or use a digital graphing calculator. Hint: First, convert the minutes to decimals then create a table of values.
Use the regression tool on Desmos (see the Desmos guide) to graph the points on a line, or draw your own. Write a line of best fit in the form y = mx + b.
Based on the line of best fit, when will the computer be fully charged?
Was your first estimate correct? Why do you think Ryan's first estimate was not accurate?
The amount of time it will take for Ryan expect his laptop to be fully charged by following the example on the image attached.
What is the battery percentage about?16 %= 4m
28%= 15m
37%= 10m
51% = 24m
69% = 34m
81%= 17m
Based on his quick calculation at 1:17 and estimates that it will be fully charged by 2:30 is wrong because when you look at the i]steps above, you will see that it the minute used too charge varies.
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512=-4(-2)^n-1 find n in geometric sequence
Answer:
n = 8
Step-by-step explanation:
512/-4 = -128
-2^? equals -128? Has to be odd since it's negative
-2^1 = -2
-2^3 = -8
-2^5 = -32
-2^7 = -128
But it's -2^n-1 = -128 so you have to add 1
7+1 = 8
So n=8
Answer:
n = 8
Step-by-step explanation:
Rearrange the equation to find n:
512/-4 = [tex](-2)^{n-1}[/tex]
-128 = [tex](-2)^{n-1}[/tex]
[tex](-2)^{7}[/tex] = -128
So, n-1 = 7
n = 8
The edge of the square is 33 cm.
Calculate the square diagonally!
Take out the multiplier before the root sign!
Answer:
46.6
Step-by-step explanation:
[tex] {x}^{2} = {33}^{2} + {33}^{2} \\ x = \sqrt{2178} \\ x = 46.6 \: cm[/tex]
If the diameter of a circle is 14 inches, which of the following is the best approximation of the area of the circle?
Answer: 153.93791 inches³
Step-by-step explanation:
Area of a circle = pi * r²
Area of a circle = pi * 7²
Area of a circle = 3.14159 * 49
Area of a circle = 153.93791 inches³
We can't see you answer choices, so select the best answer choice that is closest to 153.93791 in³
A bag contains 8 black marbles, 16 white marbles, 14 red marbles, and 10 green marbles. A marble is drawn at random from the bag. What is the probability that the marble drawn will not be white? 1/3. 2/3. 3/4. 15/16
Answer:
2/3
Step-by-step explanation:
total marbles is (8 black+ 16 white + 14 red +10 green) = 48
no white cmarbles ( 8+14+10) = 32
32/ 48 = 2/3
32/16= 248/16 =3PLEASE HELP ME!!!!!
You are buying a house that is valued at $499.000. You pay a down payment of 20%. You finance the rest at 6.5% for 30 years. Your monthly mortgage payment is $2,522.94. For taxes, the house is assessed at 40 percent, with a tax rate of $3.03 per $100. You pay $1500 annually for homeowner's insurance. (32 points)
Price of House = ?
Down Payment = ?
Amount Financed (Mortgage principal) = ?
Monthly Payment = ?
# of monthly payments = ?
Total Payback = ?
Interest = ?
Assessed Valuation = ?
Real Estate Taxes (annual) = ?
Escrow Payment Per month (taxes & insurance) = ?
Monthly Payment to lender (escrow + mortgage) = ?
PLEASE SHOW FULL WORK!!!
The full workings for the house purchase you made on a mortgage are as follows:
1. Price of House = $499,000 (given)
2. Down Payment = $99,800 ($499,000 x 20%)
3. Amount Financed (Mortgage principal) = $399,200 ($499,000 - $99,800).
4. Monthly Payment = $2,522.94 (given)
5. Number of monthly payments = 360 months (30 x 12)
6. Total Payback = $908,258.40 ($2,522.94 x 360)
7. Total Interest = $509,058.40 ($908,258.40 - $399,200)
8. Assessed Valuation = $199,600 ($499,000 x 40%)
9. Real Estate Taxes (annual) = $6,047.88 ($199,600 x $3.03/$100)
10. Escrow Payment Per month (taxes & insurance) = $628.99 ($6,047.88 + $1,500)/12
11. Monthly Payment to lender (escrow + mortgage) = $3,151.93 ($628.99 + $2,522.94)
What is a mortgage?A mortgage is a loan arrangement that allows a borrower to buy some property, usually a house, without paying for the full cost immediately.
The borrower then makes a monthly payment, which includes the principal and its interest.
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A construction firm is building a football stadium. The building work has taken 499 days so far. It should take another 199 days to build. How many days will the building work take in total
499
199
+------- the answer is 698 you have to add 499 and 199.
Brandi bought a total of 9 lb of flounder and shrimp and paid $12 for the flounder and $12 for the shrimp. If the price per pound of the shrimp is twice that of
the flounder, how many pounds of each did she buy?
Select one:
O a. 6 lb shrimp and 3 lb flounder
O b.
3 lb shrimp and 6 lb flounder
O c.
4.5 lb shrimp and 4.5 lb flounder
O d.
2 lb shrimp and 7 lb flounder
Hi! URGENT!!!!!!!! please reply. i will mark brainliest IF correct.
Answer:
x = 20
y = √3 / 10
Step-by-step explanation:
The cosine ratio gives the ratio between the adjacent side and the hypotenuse.
The sine ratio gives the ratio between the opposite side and the hypotenuse.
Taking cosine ratio to find x :
cos 60° = 10/x
1/2 = 10/x
x = 20
Taking sine ratio to find y :
sin 60° = y/x
√3 / 2 = y/20
y = √3 / 10
Answer:
x= 20 , y= 10√3
Step-by-step explanation:
This question is clearly a trigonometry question
Please bare in mind :
Cos 60 = 1/2
Sin 60 = √3/2
Tan 60 = √3
Side x is the hypotenuse (h)
Side y is the Opposite (o)
And side with length of 10 is adjacent (a)
To find x, we have a, and we need h
So we use C = a/h
Cos 60 = 10/h
h = 10/Cos 60
h = 10/0.5
h = 20 , x=20
To find y, we can use pythagaros as we found the value of x :
10² + y² = x²
10² + y² = 20²
y² = 20²-10²
y² = 300
y = √300
y= √100×3 y=√100 × √3
y = 10√3
This is our y value
Another way to find y is trigonometry :
We have a and we need o so we use :
T = o/a
Tan 60 = o/10
o = 10×tan 60
o = 10×√3
o = 10√3 , y=10√3
Sorry for not being urgent but give brainliest please
I sold a commodity for #16 and made a profit of 20% what percentage will I make if I sell at # 18?
Answer:
Step-by-step explanation:
since #16 = 20% then #18 will be 18/16 * 20%= 22.5%
21 ounce of cat food equally among 4 cats
Answer:
5.25
Step-by-step explanation:
Using multiplication, if you do 4x5 you get 20, so adding .25 to the equation will add 1, therefore 20+1=21
So long story short 4 x 5.25 = 21
Select the correct answer.
E
B
2
7
B
C
0
b D
Polygon ABCDE is reflected to produce polygon ABCDE. What is the equation for the line of reflection?
ОА У-0
OB. X=0
OC x=2
OD. y=1
Answer:
B. x = 0
Step-by-step explanation:
we notice that a point and it’s image have the same y-coordinate and opposite x-coordinates
Example :
A(-2 , 2) is a point and A(2 , 2) it’s image by the reflection
[tex]y_{A}=2=y_{A^{\prime }}[/tex]
[tex]x_{A}=-2=-x_{A^{\prime }}[/tex]
Then the reflection is across the y-axis
Or The equation of the y-axis is x = 0
Given g of x equals cube root of the quantity x plus 6, on what interval is the function negative?
The interval for the function to be negative will be (-∞<x<-7).
What is a function?A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Here we have a function:-
g(x) = ∛(x+6)
If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-
(-∞<x<-7).
Therefore interval for the function to be negative will be (-∞<x<-7).
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Answer:
(–∞, –6)
Step-by-step explanation:
I got it right on exam.
