Answer:
$2000x(1.03)ˣ
Step-by-step explanation:
This is known as compound interest.
100% + 3% = 103%, so we put this into a decimal: 1.03
We now put this into the equation:
$2000x(1.03)ˣ
If you want to work out the price after, say 3 years, then you would change x to 3, so the equation becomes
$2000x(1.03)³
You can then use a calculator to work out the answer.
Select the correct equation and correct answer to
solve for x using the triangle below.
Q
L
K
2x - 15
R
Р P.
2x - 8
Answer:
11
Step-by-step explanation:
LK = 1/2RP
theorem: straight line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half the length of the third side.
LK = 2x - 15 ; RP = 2x - 8
2x - 15 = 1/2(2x - 8)
2x - 15 = 2x - 8/2
2x - 15 = x - 4
Collect like terms and simplify
x = 11
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.
How much more will she be earning per hour at her new job?
PLEASE SHOW YOUR WORK!!
Answer:
Greta will be earning 3.6/h more at her new job.
Step-by-step explanation:
To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.
To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.
Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.
I was challenged to write this in a single equation:
[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]
=$3.6/h
/ means a fraction bar
\ means division
Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.
Elliott took a survey for Turkey Filet. 18 students prefer turkey tenders and 12 students prefer fried turkey sandwiches with pickles on buttered buns. What percentage of students prefer turkey tenders?
Answer: 60%
Step-by-step explanation: multiply 18 by 100 than divide by 30
find the sum of 9/10 and 5/6 write an equation?
Answer: 1 11/15
Step-by-step explanation:
9/10 + 5/6
=
9 × 3
+--------
10 × 3
5 × 5
-------
6 × 5
=
27/30 + 25/30
=
27 + 25
-----------
30
=
52/30
=
52 ÷ 2
----------
30 ÷ 2
=
26/15
=
1 11/15
Answer:
Step-by-step explanation:
9/10 + 5/6 = 16/20
If -10x+3y = 9 and -4x+7y =1 are true equations,what would be the value of -6x-4y
Answer:
8
Step-by-step explanation:
Notice: we do not have to solve for x, and y. All we really have to do is to subtract the two equations.
(-10x + 3y) - (-4x + 7y) = 9 - 1.
Taking off the parentheses, we get:
-10x + 3y + 4x - 7y = 8.
Simplifying, we get:
-6x - 4y = 8.
So, the answer is 8.
Solve w=3/7(ay+m) for y
Answer:gd
Step-by-step explanation:
Vygfy
Answer:
y = (7w - 3m) / 3a
Step-by-step explanation:
w = 3/7ay + 3/7m
multiply each side by 7 to eliminate fractions
7w = 3ay + 3m
3ay = 7w - 3m
y = (7w - 3m) / 3a
What is this surface area?!!??
Answer:
132 in^2Step-by-step explanation:
4×3×1/2×2+10×4×3=132
Bella and Zoe went blueberry picking. Their blueberries weighed a total of 23.4 ounces. If Bella's
blueberries weighed 11.9 ounces, how many ounces (z) did Zoe pick? *
Answer:
Zoe picked 11.5 ounces
Step-by-step explanation:
23.4 - 11.9 = 11.5 ounces
Tell whether I and y are proportional
PLS HELP
Answer:
This is not proportional. In order for it to be proportional the number from dividing y/x must be the same all the way through. Example:18/2=9 20/4=5
The answers are not the same, therefore x and y are not proportional. Hope this helped.
Step-by-step explanation:
ill give branilest
help plz hw assignemnt
Answer:
I think its 100.
Step-by-step explanation:
How are you doing?
please help!!!!!!!!!!!!(15 points)
HELP ASSAP I need help on this question
Answer:
X= 1, 2, 3, 4, 5
Y= 10, 20, 30, 40, 50
Step-by-step explanation:
hope this helps please press the pink "thanks" button
Plz guys help me plz
Gareth believes that if he flips a coin 820 times, it will land heads up exactly 410 times. What would you tell Gareth about his prediction?
Answer:
A coin has a 50/50 chance to land on heads and if you flip it 820 times the most accurate prediction would be to split that 50/50.
Step-by-step explanation:
A coin has a 50/50 chance to land on heads and if you flip it 820 times the most accurate prediction would be to split that 50/50.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
To know more about probability refer to :
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This cylinder is 7 inches tall and has a volume of 63pi in3. what is the area of the cross section
Answer:
area of cross section of cylinder is inch²
Step-by-step explanation:
Given : Cylinder is 7 inch tall and has a volume of inches³.
We have to find the area of cross section of cylinder.
Area of cross section of cylinder =
To find the cross section first find radius.
Given Volume of cylinder = inches³
Also , Volume of cylinder =
Thus,
Divide both side by 7, we get,
On simplifying , we get,
Since, radius has to be positive, thus neglecting negative term.
Thus, radius of cylinder = 3 inch
Thus, area of cross section of cylinder =
area of cross section of cylinder =
Thus, area of cross section of cylinder is inch²
Step-by-step explanation:
2. 7 2/6 + 1/12 = M
A.7 3/18
B.7/18
C.7 2/12
D.7 5/12
3. 1 6/10 + 1 4/5 = ?
A. 2 10/15
B. 2 10/50
C. 3 4/10
D. 3 10/10
4. 5/8 + 1/2 = Z
A. 9/8
B. 6/8
C. 1
D. 1 5/8
5. 2/12 + 2/4 = R *
A. 4/16
B. 8/16
C. 4/12
D. 8/12
Answer:
2 a 3 d 4 c 5 b
Step-by-step explanation:
Mike brought 480 crayons that came in packs of 15 how many packs of crayons did Mike buy
Answer:
32 packs of crayons
Step-by-step explanation:
480 divided by 15 equals 32.
A student wrote the following equation for the graph: y = -3/2 - 4. This is incorrect. What is the mistake? What is the correct equation?
Answer:
y=6
Step-by-step explanation:
y= -3/2(-4) : y=4
y=-2 3/4(-4)
y=3/2. 4
y= 3×4/2
y =12/2
12/2 =6
y =6
A publisher reports that 40% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 200 found that 31% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
[tex]p-value = 0.9953[/tex]
Step-by-step explanation:
Given
[tex]P = 40\%[/tex] --- proportion of population
[tex]n = 200[/tex] -- samples
[tex]p = 31\%[/tex] -- proportion of samples
Required
Determine the p value
First, calculate the standard deviation ([tex]\sigma[/tex])
[tex]\sigma = \sqrt{\frac{P*(1 - P)}{n}}[/tex]
[tex]\sigma = \sqrt{\frac{40\%*(1 - 40\%)}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.40*(1 - 0.40)}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.40*0.60}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.24}{200}}[/tex]
[tex]\sigma = \sqrt{0.0012}[/tex]
[tex]\sigma = 0.0346[/tex]
Next, we calculate the z score
[tex]z = \frac{p - P}{\sigma}[/tex]
[tex]z = \frac{40\% - 31\%}{0.0346}[/tex]
[tex]z = \frac{9\%}{0.0346}[/tex]
[tex]z = \frac{0.09}{0.0346}[/tex]
[tex]z = 2.6012[/tex]
[tex]z \approx 2.60[/tex]
From the z table, the p value of [tex]z = 2.60[/tex] is: 0.9953
Hence:
[tex]p-value = 0.9953[/tex]
In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.
Answer:
Step-by-step explanation:
I = 180-152-7 = 21°
Law of Sines:
g = h·sinG/sinH ≅ 38.5 cm
i = h·sinI/sinH = 29.4 cm
Use Heron's Formula to calculate the area from the lengths of the sides.
semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm
area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²
Given the function f(x) =2x+5 what would the output be with an input of 6?
Hello, how are you?. I need help. Do you know where they sell teething toys for puppies in California?
Write a expression with the same meaning as the sum of 3 and the quotient of a number divided by 6
Select the inequality below that could have 7 as a solution.
21x ≥ 7
12+ x > 15
14x 28
Jordan has test scores of 70,70,79, 85 and 96. What is the median score?
Answer:
They are already in order
70, 70, 79, 85, 96
the middle one is 79, meaning 79 is the median.
Step-by-step explanation:
A college admits a freshman class of 330 students at the beginning of each academic year and graduates 145 students twice a year. What will be the net change in student population after 5 years?
Answer:
200 studentsStep-by-step explanation:
Change in one year:
330 - 2(145) = 330 - 290 = 40Change after 5 years:
40*5 = 200 studentsLast week, a pharmacy sold a bottle of shampoo for $5.00. This week, the shampoo sells for $6.50. By what percent did price increase?
how would we find the original price if we know the sale price and the % of savings?
Answer:1.5 i think i dont know the second question tho
Gianna uses 100 stamps each day for her business. If she begins each day with 100 stamps, and after each package that is shipped has 4 less stamps, how many stamps would Gianna have left after 6 packages? Which of the following choices is the correct pattern?
a. 100, 104, 108, 112, 116, 120, 124
b. 100, 90, 80, 70, 60, 50, 40
c. 100, 96, 92, 88, 84, 80, 76
d. None of these choices are correct.
Answer:
c.
Step-by-step explanation:
The pattern is supposed to be -4.
Gianna has 76 stamps left after 6 packages and pattern of decreasing stamps can be calculated as 100, 96, 92, 88, 84, 80, 76. Hence option c is correct
Gianna uses 100 stamps each day for her business. If she begins each day with 100 stamps, and after each package that is shipped has 4 less stamps,
What is arithmetic?
In mathematics it deals with numbers of operations according to the statements.
As per question, after each package that is shipped has 4 less stamps.
Now, for nth term of an arithmetic progression.
nth term = a + nd
Here, we have a = 100, d = -4 and n = 6
So after 6th package shipped the number of stamps left.
= 100 - 6 x 4
= 76
And pattern of decreasing stamps can be calculated as 100, 96,92,88,84,80,76.
Thus, Gianna has 76 stamps left after 6 packages and pattern of decreasing stamps can be calculated as 100, 96,92,88,84,80,76.
Learn more about arithmetic here:
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Chad's bedroom floor is 18 feet long and 13 feet wide. He has an area rug on his floor that is 2 feet long and 8 feet wide.
Which statement tells how to find the amount of the floor that is not covered by the rug? Select all that apply.
A Add 18 × 13 and 2 × 8.
B Add 18 + 13 + 2 + 8.
C Subtract 18 × 13 from 2 × 8.
D Subtract 2 × 8 from 18 × 13.
E Subtract 16 from 18 × 13.
F Subtract 13 × 8 from 18 × 2.
9514 1404 393
Answer:
D Subtract 2 × 8 from 18 × 13.E Subtract 16 from 18 × 13.Step-by-step explanation:
To find the area not covered, the rug area must be subtracted from the floor area. Each of those areas is the product of their respective dimensions. The statements describing that subtraction are ...
D Subtract 2 × 8 from 18 × 13.
E Subtract 16 from 18 × 13.
oh nawgs whats thay do to the bod :(
Answer:
lol
Step-by-step explanation:
.....................