Answer:
-5 63/100
Step-by-step explanation:
4b + 8c + 12 – 8b – 2c + 6.
In the year 2003, a person bought a new car for $25000. For each consecutive year
after that, the value of the car depreciated by 12%. How much would the car be worth
in the year 2006, to the nearest hundred dollars?
Step-by-step explanation:
multiply 25000×12/10
and 2003-2006 is 3 years
next steps are in the attached pic
Answer:
$17000Step-by-step explanation:
Given
Initial value PV = $25000Depreciation rate r = 12% per yearTime t = 2006 - 2003 = 3 yearsFV = ?Required formula and solution
FV = PV*(1 - r)^tFV = 25000*(1 - 0.12)^3 = $17036.80 ≈ $17000 (rounded)Rosa wants to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.
PLEASE ANSWER AS SOON AS POSSIBLE
Answer:
$405,44
Step-by-step explanation:
First of all we have to find how much the tv cost after 15% of discount.
we can use this proportion
15 : 100 = x : 499.99
x = (15*499.99)/100 = $74.9985
then we have to subtract the initial value to the value of the discount
499.99-74.9985 = $424,9915
thanks to the card we can apply another 10%
10 : 100 = x : 424,9915
x = (424,9915 *10)/100 = $42,49915
424,9915-42,49915 = $382,49235
now we have to apply taxes
6:100 = x : 382,49235
x = $22,949541
382,49235 + 22,949541 = $405,441891
that can be rewrite as $405,44
If we want to write an equation to solve this problem we can use this
499.99 - (499.99 * 15/100) - 1/10[499.99-(499.99*15/100)] + 6/100{1/10[499.99-(499.99*15/100) = x
Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply, with the following results. It is reasonable to assume that the population is approx. normal.
DATA: 202, 164, 157, 177, 113, 213202, 164, 157, 177, 113, 213.
Based on a 98% confidence interval for the mean magnesium ion concentration, is it reasonable to believe that the mean magnesium ion concentration may be greater than 195?
Answer:
The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195
Step-by-step explanation:
The six measurements are:
202, 164, 157, 177, 113, 213
Sample mean:
Sum of all values divided by the number of values which is 6. So
[tex]S_m = \frac{202+164+157+177+113+213}{6} = 171[/tex]
Sample standard deviation:
Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So
[tex]s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69[/tex]
Confidence interval
We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 6 - 1 = 5
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.365
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm
The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm
The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195
- 63 y^5
27y^7
- 18y^9
Take out the common factor
Answer:
[tex]Factor = 9y^5[/tex]
Step-by-step explanation:
Given
- 63 y^5 , 27y^7 and 18y^9
Required
Remove the common factor
Factorize each expression:
[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]
[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]
[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]
The common factor in the above expression is:
[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]
[tex]Factor = 9y^5[/tex]
help please. (right now i’m just filling in for the 20 characters it’s not relevant to the question)
Answer:
9
Step-by-step explanation:
We're using the Pythagorean theorem here since it's a right triangle.
a^2 (side) + b^2 (side) = c^2 (hypotenuse)
12 = a
x = b
15 = c
12^2 + b^2 = 15^2
144 + b^2 = 225
- 144 - 144 (subtracting 144 from both sides to isolate b)
b^2 = 81
[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)
b = 9
x = 9
Simplify and write answer in standard form.
Step-by-step explanation:
2x^3 - 10x^2 + 8x -3
hope this helps
A speaker is in the shape of a cube with an edge length of 3.5 inches. The speaker is sold in a package in the shape of
square prism with a base area of 16 square inches and a height of 4 25 inches
Part B What is the surface area, in square inches, of the package?
Answer:
I think it would be 6800 square in because you just have to multiply 16 by 425.... Sorry if it is wrong
Step-by-step explanation:
What is the probability of picking any color balloon except for red at random to the nearest hundredth? A) 0.81 B) 0.82 0 0.83 D) 0.84
Answer:
below
Step-by-step explanation:
first count them up
17
divide it by 16 its d
The probability of picking any color balloon except for red at random is 82%.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Red balloon = 3
Blue balloon = 2
Pink balloon = 2
Green balloon = 2
Orange balloon = 2
light Blue = 1
Yellow balloon = 2
Purple balloon = 2
So, the probability of picking any color balloon except for red at random
= 13/ 16 x 100
= 81.25 %
Thus, the required percentage is 82%.
Learn more about Probability here:
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HELP PLEASEEEEEE I WILL GIVE YOU BRAINLIEST
Answer:
Step-by-step explanation:
so brh
Joe has read 80% of a book. He has 6 more pages to finish. How many pages are there in the book?
Answer:
30 pages in this book
Step-by-step explanation:
20% is equal 6 pages
so 80% is equal (80/20)*6+6=30
The sum of the interior angle measures of a convex polygon is 2520° . How many sides does it have?
Answer:
16
Step-by-step explanation:
number of sides = (sum of interior angles / 180) + 2
(2520 / 180) + 2 = 16 sides
a. find the area
b. find the perimeter
Answer:
Area= 4y^2 + 14y + 12
Perimeter = 10y + 16
Step-by-step explanation:
Area of a reactangle = length × width
= (4y+6) × (y+2)
= 4y^2 + 6y + 8y + 12
= 4y^2 + 14y + 12
Perimeter of a rectangle = 2 × (a +b)
= 2 × ( 4y + 6 + y+ 2)
= 2 × ( 5y + 8)
= 10y + 16
A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.
Answer:
a=41.2
Step-by-step explanation:
a^2 + (30)^2. =51^2
a^2+900=2601
-900. -900
a^2= +\- square root 1701
a=41.243181
a=41.2
Cheryl bought a shirt for $42 and sweater for$30. Write a numerical expression that represents the change Cheryl received from four $20 bills
Answer:
[tex]Change = \$8[/tex]
Step-by-step explanation:
Given
[tex]Bills = $20\ bills[/tex] (4)
[tex]Shirt = \$42[/tex]
[tex]Sweater= \$30[/tex]
Required
The change
First, we determine the amount paid,
To do this, multiply the number of bills by the worth of each bill.
So, we have:
[tex]Amount = 4 * \$20[/tex]
[tex]Amount = \$80[/tex]
Next, calculate the worth if item bought
[tex]Items = \$42 + \$30[/tex]
[tex]Items = \$72[/tex]
Subtract the items from the amount to get the change.
[tex]Change = \$80 - \$72[/tex]
[tex]Change = \$8[/tex]
Camp counselors kept track of the number of granola bars they served each day.
What is the median of the data set?
Answer:
the median is 43
Step-by-step explanation:
A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest hundredth. Enter your answer in the box.
Answer:
Step-by-step explanation:
44
15 + z = 17.04
What is Z?
Answer:
2.04
Step-by-step explanation:
To find this we have to subtract 15 from both sides.
15 + z = 17.04
-15 -15
z = 2.04
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.
4x + 3 2x+9 solve for x
Answer:
The value of x is 28°
Step-by-step explanation:
Here, In a given figure
4x + 3° ...(1)
2x + 9° ...(2)
Now, we know that the sum of all angle is 180° on a straight line
So,
4x + 3° + 2x + 9° = 180°
6x + 12° = 180°
6x = 180° - 12°
6x = 168°
x = 168° ÷ 6
x = 28°
Thus, The value of x is 28°
FOR VERIFICATION ONLY:-4x + 3° + 2x + 9° = 180°
4(28) + 3° + 2(28) + 9° = 180°
112° + 3° + 56° + 9° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green apples?
Answer:
8:15
or 8/15
Step-by-step explanation:
8 out of 15
Answer:
8:15
Step-by-step explanation:
There are 8 red apples and total of 15 apples
PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES
Answer:
y = ½x + 8
Step-by-step explanation:
The equation of the function can be written in the slope-intercept form y = mx + b.
m = slope = change in y/change in x
b = y-intercept = the value of y when x is zero
✔️From the table, when x = 0, y is 8.
Therefore,
y-intecept (b) = 8
✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):
m = (9 - 6)/(2 -(-4))
m = 3/6
m = ½
✔️Next is to plug in the values of m and b into y = mx + b.
Thus:
y = ½x + 8
Calculate the exact value of cos(a−b) given that sin a=12/13 with π/2
Answer:
Step-by-step explanation:
[tex]sin ~a=\frac{12}{13} ,\frac{\pi}{2} <a<\pi\\a ~is~in~2nd~quadrant.\\sin~b=\frac{3}{5} ,0<b<\frac{\pi}{2} \\b~is~in~1st~quadrant.\\cos~b=\sqrt{1-sin ^2b} \\=\sqrt{1-(\frac{3}{5} )^2} \\=\sqrt{\frac{25-9}{25} } \\=\sqrt{\frac{16}{25} } \\=\frac{4}{5} ,\\cos~a=-\sqrt{1-sin^2 a} \\=-\sqrt{1-(\frac{12}{13} )^2} \\=-\sqrt{\frac{169-144}{169} } \\=-\sqrt{\frac{25}{169} } \\=-\frac{5}{13} \\cos(a-b)=cos~acos~b+sin~a sin~b\\=\frac{-5}{13}* \frac{4}{5} +\frac{12}{13}* \frac{3}{5} \\=?[/tex]
2. The weights of 14 students are as follows (in lbs.)
90, 100, 85, 110, 112, 120, 94, 87, 88, 103, 99, 90, 90, 88
a. Find all 3 measures of center for the following data set.
b. Create a dot plot by making a number line with an
appropriate scale (It does not need to start at O and go
up one by one)
c. Find the MAD and IQR of this data set.
d. Create a box plot and identify the minimum, Q1, Q2, Q3, and
maximum
Answer:
mad- 8.9796
iqr- 15
q1- 88
q2- 92
q3- 103
minimum- 85
maximum- 120
Step-by-step explanation:
the explanation is the picture **sorry i couldn't help with the dot plot**
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
How do u convert kilometres into minutes
Example 0.8kilometer what till ut b in minutes woukd u times by 70
Answer:
It is not possible
Step-by-step explanation:
Given
0.8km
Required
Convert to minutes
In conversion, only units of the same metric can be converted.
i.e.
You can convert meters to miles (they both measure distance)
You can convert seconds to hours (they both measure time)
You can convert kilogram to pounds (they both measure weight)
But in the given question, you attempt to convert from distance to time.
This is not possible, because time and distance are different measurements
Need help with linear function
Answer:
y = 1/2x + 2
Step-by-step explanation:
In the image above x=4 cm and y=8 cm. Find the surface area of the figure. (Note: Figure is not to scale.)
Answer:
96
Step-by-step explanation:
4×8×3=96 is the surface area
433.54 in terms of pi
Answer:
138.0700636942675[tex]\pi[/tex]
Step-by-step explanation:
The effect of the time of day a science class is taught on test scores is being
studied in an experiment. Which of these is most likely to be an extraneous
factor that could also affect test scores?
A. Student clothing
B. Color of the school hallways
C. Principal of the school
D. Length of class period
Answer:D
Step-by-step explanation:
The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.
What is a test analysis?
A test score is a piece of data, typically a number, that describes how well a test-taker performed. It is "a summary of the evidence contained in an examinee's replies to the test items that are connected to the construct or constructs being tested," according to one formal definition.
Given that the effect of the time of day a science class is taught on test scores is being studied in an experiment.
The time of the class periods is affected by the length of the class period. The length of the class period of one subject should be optimum so that students get the concepts easily without getting bored.
Therefore, an effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.
To know more about a test analysis follow
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x2 - 3|x - 2| - 4x = - 6
Solve for x
Answer:
if that is x^2 -3|x-2|-4x=-6, then this should be the answer other wise it would be a biiiit diffrent
Step-by-step explanation: