Answers
Answer: Kim - Resp after 24 months = $4,416.00
Kim - Technology Fund after 24 months = $1,120.06
Kim's Technology Fund has enough money to buy a laptop.
Kim's Savings (Resp) will last less than 6 months
Step-by-step explanation for Kim:
January - June 2019
$14.50 + 30($0.25) = $22.00/hr
$22/hr x 15 hr x 4 wks x 6 months = $7920 Gross Income
Resp (15%): $7920(0.15) = $1188CPP(5%): $7920(0.05) = $396EI(2%): $7920(0.02) = $158.40Taxable Income is $7920 - $1188 = $6732 (Annual Income $13,464)
Income Tax (0% for 0-9,000 Annual): $4500(0) = $0Income Tax (8% for 9-25,000 Annual): ($6732-$4500)(0.08) = $178.56→ $7,920 -($1188 + $396 + $158.40 + $0 + $158.40) = $5,999.04 Net Income
Tech Fund (5%): $5999.04(0.05) = $299.95
Food Expense (30%): $5999.04(0.3) = $1,799.71
Clothing Expense (30%): $5999.04(0.3) = $1,799.71
Entertainment Expense (25%): $5999.04(0.25) = $1,499.76
Miscellaneous Expense (10%): $5999.04(0.1) = $599.90
Other Expenses: $5,699.08
July - December 2019 (excluding August)
$22/hr x 20 hr x 4 wks x 5 months + $200 = $6800 Gross Income
Resp (15%): $6800(0.15) = $1020CPP(5%): $6800(0.05) = $340EI(2%): $6800(0.02) = $136Taxable Income is $6800 - $1020 = $5780 (Annual Income $12,512)
Income Tax (0% for 0-9,000 Annual): $4500(0) = $0Income Tax (8% for 9-25,000 Annual): ($5780-$4500)(0.08) = $102.40→ $6,800 - ($1020 + $340 + $136 + $0 + $102.40) = $5,201.60 Net Income
Tech Fund (5%): $5201.60(0.05) = $260.08
Food Expense (30%): $5201.60(0.3) = $1,560.48
Clothing Expense (30%): $5201.60(0.3) = $1,560.48
Entertainment Expense (25%): $5201.60(0.25) = $1,300.40
Miscellaneous Expense (10%): $5201.60(0.1) = $520.16
Other Expenses: $4,941.52
January - June 2020
same as January - June 2019
July - December 2020 (excluding August)
same as July - December 2019
[tex]\boxed{\begin{array}{l|r|r|r|r||r}\underline{KIM}&\underline{Jan-Jun'19}&\underline{Jul-Dec'19}&\underline{Jan-Jun'20}&\underline{Jul-Dec'20}&\underline{Totals\quad }\\Gross&\$7920.00&\$6800.00&\$7920.00&\$6800.00&\$29440.00\\Resp&\$1188.00&\$1020.00&\$1188.00&\$1020.00&\$4416.00\\Net&\$5999.04&\$5201.60&\$5999.04&\$5201.60&\$22401.28\\Other&\$5699.08&\$4941.52&\$5699.08&\$4941.52&\$21281.20\\Tech&\$299.95&\$260.08&\$299.95&\$260.08&\$1120.06\end{array}}[/tex]
Related Questions
Find the sum of all integers between 550 and 850 which are divisible by 11.
Answers
Answer:
19008
Step-by-step explanation:
550 is equal to 11 multiplied by 50.
1. Solve for multiples of 11 between 550 and 850
11 · 51 = 561
11 · 52 = 572
11 · 53 = 583
11 · 54 = 594
11 · 55 = 605
11 · 56 = 616
11 · 57 = 627
11 · 58 = 638
11 · 59 = 649
11 · 60 = 660
11 · 61 = 671
11 · 62 = 682
11 · 63 = 693
11 · 64 = 704
11 · 65 = 715
11 · 66 = 726
11 · 67 = 737
11 · 68 = 748
11 · 69 = 759
11 · 70 = 770
11 · 71 = 781
11 · 72 = 792
11 · 73 = 803
11 · 74 = 814
11 · 75 = 825
11 · 76 = 836
11 · 77 = 847
2. Add the products together
= 19008
An employee is paid a salary of \$73,840 per year, plus benefits and overtime (time and a half) on hours worked over 40 per week, working as a civil servant. What is the regular time hourly rate of pay for this employee, and what is her total income in a month where she works 40 hours, 44 hours, 43.5 hours, and 40 hours, weekly, in the month?
A.$37.00/hr and \$6,336.25 in total income
B. $35.50/hr and \$6,079.38 in total income
C.$37.50/hr and \$6,421.88 in total income
D.$36.00/hr and \$6,165.00 in total income
Answers
Answer:
B. $35.50/hr and \$6,079.38 in total income
Step-by-step explanation:
Given the following :
Total regular pay earning for the year = $73,840
Let basic salary = b
Overtime = 1.5b
Regular earning per week :
Regular year earning / number of weeks per year
$73840 / 52 = $1420
Regular hours = 40
Regular earning per week = $1420
Regular earning per hour = $1420 / 40
Regular earning per hour = $35.50
Number of overtime hours :
4 hours + 3.5hours = 7.5hours
Overtime pay per hour = 1.5 * regular earning
Overtime pay per hour = 1.5 * 35.5 = $53.25
Total overtime pay = Overtime pay per hour * Number of overtime hours
Total overtime pay = $53.25 * 7.5
Total overtime pay = 399.375
Total pay for the month :
160 regular hours + 7.5 overtime hours
(160 * 35.5) + $399.375
$5,680 + 399.375 = $6,079.375
= $6,079.38
ANSWER FOR 30 POINTS A 13-foot ladder is leaning against a tree. The bottom of the ladder is 5 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach?
Answers
Answer:
12 feet
Step-by-step explanation:
Use the Pythagorean Theorem to find how high up the tree the top of the ladder reaches.
13 feet - hypotenuse
5 feet - can be a or b
a² + b² = c²
5² + b² = 13²
25 + b² = 169
b² = 144
b = √144
b = 12
The top of the ladder reaches 12 feet up the tree.
Hope that helps.
Answer:
12 ft
Step-by-step explanation:
These circumstances describe a triangle with hypotenuse 13 ft and bottom side 5 ft. The vertical side (height above ground to top of ladder) is to be found. According to the Pythagorean Theorem,
5^2 + (vertical side)^2 = 13 ft = 169, and so
(vertical side) = sqrt( 169 - 25 ) = 144 (ft)
The top of the ladder is s 12 ft above the ground.
Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?
Answers
Answer:
A. 3 Days
Step-by-step explanation:
Just took the test hope this helps :)
Answer:
the answer on edge is A.3
Plz Which of these graphs represents a function?
Answers
Answer:
x.
Step-by-step explanation:
you know that x is a function because for one x-value there is only one possible y-value
Answer: X
Step-by-step explanation:
x because it doesn't fail the vertical line test
Callie biked 12 miles in 3 hours. Carter biked 10 miles in 2 hours.
Represent each person's trip with a diagram.
Explain how you can see that they are not going the same speed.
Answers
Answer:
The diagrammatic representation of speed of each person's trip can be given by a column graph per second where the height of the column represents the total distance covered and the position of the column represents the time
The difference in speed is seen in the difference in the height of the column per unit time with the higher column representing the higher speed
The above graph can be combined with the distance time graph where the slope of the line graph is the speed with which the person is riding the bike.
The difference in speed is seen in the difference in slope with the steeper slope representing the higher speed
Step-by-step explanation:
A doctor recommends a two-step process to treat a rare form of pancreatic cancer. The first method is successful 80% of the time. If the first method is successful, the second method is successful 90% of the time. If the first treatment is not a success, the second is 25% of the time. What is the probability that both treatments are unsuccessful?
Answers
Answer:
The answer is 15%.
Step-by-step explanation:
The probability that:
Both treatments are successful:80% x 90% = 72%
The first method is a success, but the second one is not:80% x (1 - 90%) = 8%
The first method is not successful, but the second one is:(1 - 80%) x 25% = 5%
Both treatments are unsuccessful:1 - (72% + 8% + 5%) = 15%
Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Answers
Answer:
Magnitude = 95.29 pounds
Direction = 79.54 degrees
Step-by-step explanation:
Resolve forces into x and y components.
x-component
= 100 cos(50) + 50 cos(160)
= 64.28-46.98
= 17.29
y-component
= 100 sin(50) + 50 sin(160)
= 76.60 + 17.10
= 93.71
Magnitude
= sqrt(x^2+y^2)
= sqrt(17.29^2+93.71^2)
= 95.29
Angle = arctangent(93.71/17.29) = 79.54 degrees
blme branly for nt alloing peole to coment n stuf for m taing u a qestion but the anser above is inorrect, and bainly befre deletng ths maye you will cosider openig cat again, so I on't nee to do tis? and mae ure to deete the queston abve wile at it.
I really need help with this question, and I would really appreciate it! I will mark brainliest!
Answers
Answer:
These are two equilateral triangles and all the sides of an equilateral triangle are equal. The question even says so so that's the answer, all the sides of the equilateral triangles are equal so all the sides equate to each other
can anyone help me solve this function?
Answers
Answer:
5x +3
Step-by-step explanation:
f(x) = 2x-6
g(x) = 3x+9
(f+g) (x) = 2x-6+ 3x+9
Combine like terms
= 5x +3
We are given the following two equations:
[tex]f(x)=2x-6[/tex]
[tex]g(x)=3x+9[/tex]
To find (f+g)(x), we just add f(x) and g(x) and simplify:
[tex](f+g)(x)=f(x)+g(x)[/tex]
[tex]=2x-6+3x+9[/tex]
[tex]=5x+3[/tex]
Let me know if you need any clarifications, thanks!
El largo de un rectángulo es 8 metros mayor que su ancho. Si el ancho del rectángulo es x metros, la expresión algebraica que representa su perímetro es: *
Answers
Answer:
La expresión algebraica que representa el perímetro del rectángulo es:
perímetro = 4x + 16
Step-by-step explanation:
La formula del perímetro de un rectángulo es:
p = 2(ancho + largo)
Entonces:
b = x + 8 primer ecuación
p = 2(x+b) segunda ecuación
x = longitud del ancho del rectángulo
b = longitud del largo del rectángulo
por tanto:
sustituyendo el valor de la primer ecuación en la segunda ecuación:
p = 2(x + (x+8))
p = 2(2x + 8)
p = 4x + 16
Usando conceptos de rectángulo, se encuentra que el perímetro está dado por:
[tex]P = 4x + 16[/tex]
El perímetro de un rectangulo de ancho a y largo l es dado por:
[tex]P = 2(l + a)[/tex]
En este problema, el ancho es de x metros, o sea, [tex]l = x[/tex], enquanto el largo 8 metros mayor que su ancho, o sea, [tex]l = x + 8[/tex]
Por eso, el perímetro es dado por:
[tex]P = 2(l + a)[/tex]
[tex]P = 2(x + x + 8)[/tex]
[tex]P = 2(2x + 8)[/tex]
[tex]P = 4x + 16[/tex]
Un problema similar que tambíen envolve el perímetro de un rectangulo es dado en https://brainly.com/question/21715963
En un colegio, dos séptimos de total de los estudiantes asisten al taller de escultura, un décimo al taller de guitarra y dos quintos al taller de computación. ¿Qué fracción del total de los estudiantes no asiste a estos talleres?
Answers
Answer:
3/14
Step-by-step explanation:
En esta pregunta, nos preocupa calcular la fracción de los estudiantes que no asisten a los talleres.
Para obtener la fracción que no asiste a los talleres, lo que debemos hacer es sumar las fracciones de cada uno de los talleres y restar el total de 1.
Matemáticamente eso sería;
1- (2/7 + 1/10 + 2/5)
Agregando los términos en el paréntesis, tenemos;
(20+ 7 + 28) / 70 = 55/70 = 11/14
Restando esto de 1, tenemos; 1-11 / 14 = 3/14
How many times larger is 74 than 30?
Answers
Answer:
approximately 2.46
Step-by-step explanation:
Answer:
2.4666666666
Step-by-step explanation:
To Find How Much Larger Or Smaller Any Given Number Is To Another, Do (#1)/(#2). In This Case, 74/30 Into Google Does A Quick Job Of This Question!
Find the product.
(2xyz) (-4x2yz)
PLEASE HELP!!! ASAP!!!
Answers
Answer:
[tex]-16x^{2} y^{2}z^{2}[/tex]
Step-by-step explanation:
Let's calculate the answer to the second parenthesis. Just multiply throughout to get -8xyz. Then, multiply the first parenthesis by the second. Multiply the constants (-8 and 2) first to get -16, multiply the x's together to get x^2, the y's together to get y^2, and the z's together to get z^2. Put it all together to get [tex]-16x^{2} y^{2}z^{2}[/tex].
Answer:
Your correct answer is = −16y2z2
Solve by completing the square: x^2+4x-5
Answers
Answer:
(x + 2)^2-9
How to find answer:
Use the formula (b/2)^2 in order to complete the square.
Hope this helps :)
Experimental probability
Answers
Answer:
85%
Step-by-step explanation:
Let’s identify all the outcomes less than 10, that would be 2-9
The number of times the die was rolled is obtainable by adding all the frequencies ;
That would be ;
3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1 = 100
Now let’s add the frequencies of results which are less than 10;
That would be the frequencies of the numbers 2-9;
Thus, we have;
3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 = 85
The required probability of rolling a number less than 10 = 85/100 = 0.85 which to the nearest percent is 85%
Find the measure of AngleJ, the smallest angle in a triangle with sides measuring 11, 13, and 19. Round to the nearest whole degree. 30° 34° 42° 47°
Answers
Answer:
34°
Step-by-step explanation:
The law of cosines is good for finding angles when only sides are known. We'll use the conventional sides a, b, c, and angles A, B, C. Yes, we know the problem statement calls the smallest angle "J". We trust you can make the translation.
a² = b² +c² -2bc·cos(A) . . . . . for sides a, b, c and angle A
Solving for the angle, we get ...
A = arccos((b² +c² -a²)/(2bc))
Filling in the numbers with "a" being the shortest side, we have ...
A = arccos((13² +19² -11²)/(2·13·19)) = arccos(409/494)
A ≈ 34.113°
The smallest angle, ∠J, is about 34°.
Answer:
b
Step-by-step explanation:
(Affgfbwg I’m struggling) Find the value of x in the isosceles triangle shown below
Answers
Answer:
B
Step-by-step explanation:
The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles with hypotenuse x
Using Pythagoras' identity in either of the 2 right triangles, then
x² = 12² + 5² = 144 + 25 = 169 ( take the square root of both sides )
x = [tex]\sqrt{169}[/tex] = 13 → B
Five years ago, Alan was thrice as old as Aron. After ten years, Alan will be twice as old as Aron. How old are Alan and Aron?
Answers
Alan will be 50 yrs old and Aron will be 20 yrs old
Ans ASAP!! But one request can u give IN pic WITH steps?..... Plzlzlzlzlz?? 1rst one will be the BRAINLIEST.. But I want complete ans!
Answers
Answer:
The parts are 24 and 16
Step-by-step explanation:
Let's call the two parts x and y. We can write the following system:
x + y = 40 -- Equation 1
1/4x = 3/8y -- Equation 2
2x = 3y -- Equation 3 (Multiply Equation 2 by 8 to get rid of denominators)
2x + 2y = 80 -- Equation 4 (Multiply Equation 1 by 2)
3y + 2y = 80 -- (Substitute 2x = 3y into Equation 4)
5y = 80 -- (3y + 2y = 5y)
y = 16 -- (Divide by 5)
x + 16 = 40 -- (Substitute y = 16 into Equation 1)
x = 24 -- (Subtract 16)
Please help me it will be greatly appreciated!
Answers
Answer:
∠y = 70º, ∠z = 60º, ∠w = 70º
Step-by-step explanation:
i believe the angle measures are the same for both triangles.
so ∠z = 60º, ∠x = 50º
to get ∠w, 180 - (50 + 60) = 70
∠w = 70º
∠w and ∠y would be equivalent
Please answer this in two minutes
Answers
Answer:
x = 5.7 units
Step-by-step explanation:
By applying Sine rule is the triangle XYZ,
[tex]\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}[/tex]
[tex]\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}[/tex]
[tex]\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}[/tex]
[tex]\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}[/tex]
[tex]x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}[/tex]
x = 5.69
x ≈ 5.7 units
Help please!Thank you
Answers
Answer:
f. 85
Step-by-step explanation:
All triangles add up to 180 degrees
BCE=25
then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60
isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)
we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees
since 70 (angle DBC) + 25 (Angel BCA)= 95
we just subtrract 95 from 180 to get the answer 85 (:
Answer:
85 degrees
Step-by-step explanation:
if Δ ABD is equilateral then the 3 sides and three angles are equal
sum of angles of Δ=180
180/3=60 degrees (∠A,∠B,∠D)
ΔBCA is isosceles then the two angles A and C are equal = 25
∠B=180-50=130
∠B in Δ BEC=130-60=70
∠E+∠B+∠C in Δ BEC=180
∠E= 180-70-25=85 degrees
Help pleaseee! Thank you
Answers
Answer:
Step-by-step explanation:
width of a rectangle=11 cm=11*5=55 ft
length of rectangle =8 cm= 8*5=40
Area=55*40=2220 ft²
height=3 cm=3*5=15
base=11 cm=11*5=55
Area of a triangle=base*height/2=15*55/2= ft^2
2220+412.5=2632.5 ft^2
this number is close to 2615 if the square unit on the grid =1 cm
Rearrange this formula Α= πr2 for the area of a circle to solve for r in-terms of A.
What is the new formula?
Answers
Answer:
sqrt( A / pi ) =r
Step-by-step explanation:
Α= pi r^2
Divide each side by pi
A / pi = r^2
Take the square root of each side
sqrt( A / pi ) = sqrt(r^2)
sqrt( A / pi ) =r
Answer: A/2pi = r
all you have to do is single out the r to get the new equation
Explain PLEASE:
The legs of a right triangle are lengths x and x√3. The cosine of the smallest angle of the triangle is _____.
a. 1/2
b. √3
c. √3/2
d. 2√3
Answers
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
The quickest way to solve this is to recognize this as a 30-60-90 triangle. The smallest angle is 30 degrees, and the answer is simply cos 30º.
You can also use the pythagorean theorem to find the length of the hypotenuse, then use SOH-CAH-TOA to get the answer.
What is the vertex on the graph of the absolute-value parent function?
Answers
Answer:
The highest or the lowest point on the graph is the vertex of an absolute-value function!
Step-by-step explanation:
Write an equation for the line that is parallel to the given line and that passes through the given point. y=34x−9;(−8,−18)
Answers
Answer:
Step-by-step explanation:
eq. of line parallel to y=34x-9 is y=34 x+k
∵ it passes through (-8,-18)
∴-18=34×-8+k
k=-18+272
k=254
so reqd. eq. is y=34 x+272
If QR = 9 and ST = 13 calculate LM.
Answers
Answer:
[tex]\boxed{\sf LM = 11}[/tex]
Step-by-step explanation:
According to trapezoid mid-segment theorem:
[tex]LM = \frac{QR+ST}{2}\\ Given \ that\ QR = 9, ST = 13[/tex]
[tex]\sf LM = \frac{9+13}{2}[/tex]
LM = 22/2
LM = 11
Brock wants to compete for the featherweight boxing title, but the upper limit for that weight class is 126 pounds. He currently weighs 134 pounds. Brock can lose 3 pounds per day if he does vigorous workouts. The number of days, d, that Brock will need to work out to compete at the featherweight level is represented by the inequality 134 – 3d < 126. Select the fewest number of days he would have to work out to compete at the featherweight level. A. 1 B. 2 C. 3 D. 4 E. 5
Answers
Answer:
C. 3
Step-by-step explanation:
Brock weighs 134 pounds, he will lose 3 pounds a day until he is 126 pounds
D will represent the number of days he will work out.
134 - 3d < 126
134 - 3(3) < 126
134 - 9 = 125
125 < 126
3 days
We can say that Brock needs to workout for minimum 3 days to compete at feather weight level.