Answer:
[tex]\large\boxed{\$10,999}[/tex]
Step-by-step explanation:
In this question, we're trying to find the value of Tom's car after 3 years.
From the question, we know that:
He bought it for $19,999Value depreciates by $250 every monthWith the information above, we can solve the question.
We can do the simplest way by multiplying 250 by 36, since there's 36 months in 3 years, and then we would subtract that from our starting value.
Solve:
[tex]250*36=9000\\\\\text{We would then subtract 9000 from 19,999}\\\\19,999=10,999\\\\\text{Cars value after 3 years is}\, \bf\$10,999[/tex]
When you're done solving, you should get 10,999.
This means that Tom's car worth in 3 years is $10,999.
I hope this helped you out.Good luck on your academics.Have a fantastic day!Answer:
10,999
Step-by-step explanation:
250 x 36 = 9,000
9,000 is how much the car went down in value it went down 3,000 a year for three years
19,999 - 9,000 = 10,999
10,999 is how much the car is worth after 3 years
What is a great circle?
A. A circle on a sphere made by performing a plane cut anywhere on the sphere
B. A circle on a sphere that has the same radius and center as the sphere itself
C. A circle on a sphere that doesn't pass through the sphere's center
D. Another name for a sphere
Answer:
B
Step-by-step explanation:
It's not D. A sphere is a sphere. A billiard ball is a billiard ball. Both are spheres. No other name applies to the sphere.
It is not C. That might be true if you are talking about a circumference.
The exact definition is B. B is the answer.
A is not true. The cut must go through the center as B suggests.
What is the value of y?
Answer:
y=3
Step-by-step explanation:
The vertical sides of the rectangle must be equal
10 =2y+4
Subtract 4 from each side
10-4 =2y+4-4
6 = 2y
Divide each side by 2
6/2 =2y/2
3=y
find the permutation of these letters (a,b,c) taking a letter at a time
Answer:
List the letters in alphabetical order
Step-by-step explanation:
ABC,ACB
BAC,BCA
CAB,CBA
Answer: 6 permutations
Step-by-step explanation: A permutation is an arrangement of objects in which order is important. In this problem, to find the number of permutations of the letters A, B, and C, we find the number of ways we can arrange the order of the letters A, B, and C.
Image provided.
Therefore, there are 6 permutations of the letters A, B, and C.
For the following geometric sequence find the recursive formula: {-1, 3, -9, ...}.
Based on these first few terms, we can deduce that the next term is computed by switching the sign of the previous one, and multiplying it by 3: we start with -1, we switch the sign (1) and multiply by 3 (3); then again we switch the sign (-3) and multiply by 3 (-9), and so on.
Since switching sign is the same as multiplying by -1, we can compute every next term by multiplying the previous one by -3:
[tex]a_1 = -1\\a_2 = a_1\cdot(-3) = (-1)\cdot(-3)=3\\a_3 =a_2\cdot(-3)=3\cdot(-3)=-9[/tex]
So, the recursive formula is
[tex]a_n = -3a_{n-1}[/tex]
because it states precisely that the next term is -3 times the previous one.
which one? please help. Triangle ABC has the angle measures shown below.
measure of angle A is 20
step by step explaination:
sum of all three angles of a triangle = 180°
therefore angle s( A+B+C)= 180°
substitute the values of a, b and c angles
2x+5x+11x = 180
18x = 180
x= 180/18= 10 °
now check each given answers by putting the value of x, you will find only measure of 2x = 2x10= 20
The measurement of angle A will be equal to 20.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
The sum of all three angles of a triangle = 180°
Therefore angle s( A+B+C)= 180°
substitute the values of a, b and c angles
2x + 5x + 11x = 180
18x = 180
x = 180 / 18 = 10 °
Now check each given answer by putting the value of x, you will find an only a measure of
2x = 2 x 10 = 20
Therefore the measurement of angle A will be equal to 20.
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WILL GIVE BRAINLIST WHEN I CAN the answer is not 72 or 54!!
Answer:
x = 20°
Step-by-step explanation:
In a circle, the measure of an inscribed angle is half the measure of the intercepted arc.
x = 40/2 = 20°
The solutions to the inequality y> -3x + 2 are shaded on
the graph. Which point is a solution?
0 (0,2)
O (2,0)
0 (1,-2)
O (-2,1)
Answer:
(2,0)
Step-by-step explanation:
y> -3x + 2
Substitute the points into the inequality to see if they are a solution
(0,2)
2 > -3(0)+2
2 > 2 False
(2,0)
0> -3(2) + 2
0>-6+2
0> -4 True
(1,-2)
-2> -3(1) + 2
-2 > -3+2
-2 >-1 False
(-2,1)
1> -3(-2) + 2
1 >6+2
1>8 False
Use dimes, nickels, and pennies to show 42 cents. How many different ways can you show this amount?
Answer:
Step-by-step explanation:
You Can Use 4 dimes and 2 pennies
Or 42 Pennies, 8 Nickels and 2 pennies.
Hopefully this helps!
42 cents can be represented in a variety of ways using dimes (10 cents), nickels (5 cents), and pennies (1 cent). Some of the possible representations are 4 dimes and 2 pennies; 3 dimes, 2 nickels and 2 pennies; 8 nickels and 2 pennies, amongst others.
Explanation:The question is about displaying the number 42 cents using dimes, nickels, and pennies. Each dime is equal to 10 cents, nickel is 5 cents and penny is 1 cent. Here's a few methods:
4 dimes and 2 pennies3 dimes, 2 nickels, and 2 pennies8 nickels and 2 pennies2 dimes, 7 nickels, and 3 pennies1 dime, 6 nickels, and 7 pennies42 penniesIt's a fun exercise to see how many other ways you can come up with!
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The weights of steers in a herd are distributed normally. The standard deviation is
100lbs
100lbs
and the mean steer weight is
1200lbs
1200lbs
. Find the probability that the weight of a randomly selected steer is between
1000
1000
and
1369lbs
1369lbs
. Round your answer to four decimal places.
Answer:
0.9317
Step-by-step explanation:
Standard deviation of the weights = [tex]\sigma[/tex]=100 lbs
Mean weight = u = 1200 lbs
We need to find the probability that the weight(x) of a randomly selected steer is between 1000 lbs and 1369 lbs i.e. P(1000 < x < 1369)
Since, weights follow the normal distribution we can use the z values to find the required weight. For this we have to convert both the values to z score. The formula for z scores is:
[tex]z=\frac{x-u}{\sigma}[/tex]
1000 converted to z scores is:
[tex]z=\frac{1000-1200}{100}=-2[/tex]
1369 converted to z scores is:
[tex]z=\frac{1369-1200}{100}=1.69[/tex]
So, we have to find the values from z table that lie between -2 to 1.69
P( 1000 < x < 1369 ) = P(-2 < z < 1.69)
P(-2 < z < 1.69) = P(z < 1.69) - P(z < -2)
From the z table:
P(z < 1.69) = 0.9545
P(z < -2) = 0.0228
So,
P(-2 < z < 1.69) = 0.9545 - 0.0228 = 0.9317
Thus,
P( 1000 < x < 1369 ) = 0.9317
From this we can conclude that:
The probability that the weight of a randomly selected steer is between 1000 lbs and 1369 lbs is 0.9317
Final answer:
The probability that the weight of a randomly selected steer is between 1000lbs and 1369lbs, given a normal distribution with a mean of 1200lbs and standard deviation of 100lbs, is approximately 0.9326 or 93.26%.
Explanation:
To find the probability that the weight of a randomly selected steer is between 1000lbs and 1369lbs, given a normal distribution with a mean (μ) of 1200lbs and a standard deviation (σ) of 100lbs, we first convert the weights into z-scores.
The z-score for a value x is given by the formula:
z = (x - μ) / σ
Calculating the z-scores for both weights:
For 1000lbs: z = (1000 - 1200) / 100 = -2
For 1369lbs: z = (1369 - 1200) / 100 = 1.69
We then look up these z-scores in a standard normal distribution table or use a calculator with statistical functions to find the probabilities for each. The probability for a z-score less than -2 is approximately 0.0228, and for a z-score less than 1.69 is approximately 0.9554.
To find the probability that a steer's weight falls between 1000lbs and 1369lbs, we subtract the smaller probability from the larger probability:
Probability = P(z < 1.69) - P(z < -2) = 0.9554 - 0.0228 = 0.9326
Therefore, the probability that a steer weighs between 1000 and 1369lbs is 0.9326, or 93.26% when rounded to four decimal places.
Evaluate each expression for:
a=2 b=5 x=4 and n=10
[a+8(b-2)]^2÷4
Answer:
169Step-by-step explanation:
Put a = 2 and b = 5 to the expression
[tex][a+8(b-2)]^2\div4[/tex]
[tex][2+8(5-2)]^2\div4[/tex]
Use PEMDAS
P Parentheses first
E Exponents
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
[tex][2+8(5-2)]^2\div4=[2+8(3)]^2\div4=(2+24)^2\div4\\\\=(26)^2\div4=676\div4=169[/tex]
multiply (2x^2 + 3x - 6)(x - 1)
Answer:
2x^3 + x^2 - 9x + 6
Step-by-step explanation:
(2x^2 + 3x - 6)(x - 1)
2x^3 + 3x^2 - 6x - 2x^2 - 3x + 6
2x^3 + x^2 - 9x + 6
What is the value of X?
Answer:
considering the above 45*
to make the line that would represent 180*
180 - 45 = 135
(2 / 135 - 5)
62.5
62.5 is your answer
Step-by-step explanation:
What is the circumference of the circle shown below, given that the length of
AB (the minor arc) is 4?
Answer:
A
Step-by-step explanation:
The following ratio is true for any circle
[tex]\frac{arc}{C}[/tex] = [tex]\frac{centralangle}{360}[/tex] ← C is circumference
[tex]\frac{4}{C}[/tex] = [tex]\frac{30}{360}[/tex] ( cross- multiply )
30C = 1440 ( divide both sides by 30 )
C = 48 → A
Answer:48
Step-by-step explanation:i got it right
What is the area of parallelogram ABCD?
____ square units
Answer:
13
Step-by-step explanation:
Here's a method of finding the area of any polygon knowing its vertices. I'm using this parallelogram as an example.
Make a table like this (each vertex with its x- and y-coordinates):
Pt x y
A 3 6
B 6 5
C 5 1
D 2 2
A 3 6
Now multiply each x-coordinate by the y-coordinate on the line below and write it on the right side. Bold type shows the first multiplication.
x y
A 3 6
B 6 5 15
C 5 1 6
D 2 2 10
A 3 6 12
Now multiply each y-coordinate by the x-coordinate on the line below and subtract from each produce you already have. Do each subtraction. Bold type shows the first multiplication.
x y
A 3 6
B 6 5 15 - 36 = -21
C 5 1 6 - 25 = -19
D 2 2 10 - 2 = 8
A 3 6 12 - 6 = 6
Add all the differences.
x y
A 3 6
B 6 5 15 - 36 = -21
C 5 1 6 - 25 = -19
D 2 2 10 - 2 = 8
A 3 6 12 - 6 = 6
+____
-26
The area of the polygon is the absolute value of half of the sum of the differences.
area = |-26/2| = |-13| = 13
You can calculate the area of a parallelogram using the formula: Area = base * height. To do this, you need the length of the base and the perpendicular height of the parallelogram. For example, if the parallelogram has a base of 5 units and a height of 3 units, its area will be 15 square units.
Explanation:The area of a parallelogram can be calculated with the formula: Area = base * height. In your question, you'll need to know the lengths of base and the height of the parallelogram ABCD to compute the area. It's essential to remember that the height is the perpendicular distance from the base to the top, not the length of the side.
Let's say, for example, the base of your parallelogram is 5 units and the height is 3 units. You would calculate the area as follows: Area = base * height = 5 units * 3 units = 15 square units.
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What is the x intercept of
f(x)=(x-7)^2
Answer:
The x-intercept is (7,0).
Step-by-step explanation:
See the graph below for explanation
The diagram shows a scale drawing of a rectangular banner with a scale of 1:30. Calculate
itu,
the actual length, in m, of the banner.
the area, in m', of the banner.
The diagram showed a banner with the length of 4cm and width of 9cm.
Thank you
Answer:
Part 1) The actual length of the banner is [tex]1.2\ m[/tex]
Part 2) The area of the banner is [tex]3.24\ m^{2}[/tex]
Step-by-step explanation:
we know that
The scale of the drawing is [tex]\frac{1}{30}[/tex]
That means ----> 1 cm on the drawing represent 30 cm in the actual
Using proportion
Find out the actual dimensions of the banner
Let
L the actual length of the banner
W the actual width of the banner
For a length of 4 cm in the drawing
[tex]\frac{1}{30}=\frac{4}{L}\\ \\ L=30*4\\ \\L=120\ cm[/tex]
Convert the actual length to meters
[tex]L=120/100=1.2\ m[/tex]
For a width of 9 cm in the drawing
[tex]\frac{1}{30}=\frac{9}{W}\\ \\ W=30*9\\ \\W=270\ cm[/tex]
Convert the actual width to meters
[tex]W=270/100=2.7\ m[/tex]
Find the area of the banner
[tex]A=1.2*2.7=3.24\ m^{2}[/tex]
Baking times at the cookie baking competition are normally distributed, with a mean time of 11 minutes and a standard deviation time of 2 minutes. Using the empirical rule, approximately what percent of cookies are finished between 7 and 15 minutes?
A) 32%
B) 68%
C) 95%
D) 99.7%
Answer:
C)95%
Step-by-step explanation:
According to the oxford math center,
"The Empirical Rule
The Empirical Rule gives us a rule of thumb for approximating the proportion of a Normal distribution that falls within 1, 2, or 3 standard deviations of its mean.
Also called the 68-95-99.7 rule in some texts, for what will soon be obvious reasons, the Empirical Rules states that approximately
68% of a Normal distribution can be found within 1 standard deviation of its mean
95% of a Normal distribution can be found within 2 standard deviations of its mean
99.7% of a Normal distribution can be found within 3 standard deviations of its mean
"
We find that the deviation time is 2 min.
Therefore, we use the information given by the oxford math center and gather that it is C, or, 95 percent.
Answer:
95%
Step-by-step explanation:
I'm taking the test
find the quotient of 226.84 round your answer to the nearest tenth
Answer: 226.8
Step-by-step explanation: Find the number in the tenth place 8 and look one place to the right for the rounding digit 4 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
There are six performers who will present their comedy acts this weekend at a comedy club. How many different ways are there to schedule their appearances?
Answer:
720 different ways
Step-by-step explanation:
There are 6 ways to pick the first performer
Now there are 5 acts left
There are 5 ways to pick the 2nd performer
and so on
6*5*4*3*2*1
720
The total number of different ways to schedule six performers' appearances at a comedy club is calculated by finding 6 factorial (6!), which results in 720 unique permutations.
Explanation:To determine the number of different ways to schedule six performers' appearances at a comedy club, we need to calculate the factorial of the number of performers, which represents the total number of unique permutations possible.
A permutation is an arrangement of all members of a set into some sequence or order.
We calculate the factorial of 6, which is denoted as 6! (6 factorial), and it is the product of all positive integers up to 6. Here is the calculation:
Start with the number 6.
Multiply it by the next lowest number, 5, to get 30.
Multiply 30 by 4 to get 120.
Multiply 120 by 3 to get 360.
Multiply 360 by 2 to get 720.
Multiply 720 by 1 (which doesn't change the value) to finish the calculation.
Therefore, the total number of different ways the six performers can schedule their appearances is 720.
In a population of 1000 individuals, 100 new individuals were born and 200
individuals died over the course of 1 year. Which equation shows how to
calculate the population growth rate of this population?
O
A. 0.10 0.20 = 0.02
O
B. 0.10 - 0.20 = -0.10
O
C. 0.20 +0.10 = 0.30
O
D. 0.20 - 0.10 = 0.10
Answer:
the answer to this question is b.
Answer:
The correct option is B.
Step-by-step explanation:
It is given that In a population of 1000 individuals, 100 new individuals were born and 200 individuals died over the course of 1 year.
We need to find the population growth rate of this population.
Rate of birth = [tex]\frac{100}{1000}=0.10[/tex]
Rate of death = [tex]\frac{200}{1000}=0.20[/tex]
The formula for rate of change is
Rate of change = Rate of birth - Rate of death
Rate of change = 0.10 - 0.20
Rate of change = -0.10
The required equation is 0.10 - 0.20 = -0.10.
Therefore, the correct option is B.
Determine the general form of the equation for the circle (x – 1)2 + (y + 2)2 = 3.
x2 + y2 – 2x + 4y + 2 = 0
x2 + y2 – x + y + 3 = 0
x2 + y2 – 2x + 4y – 4 = 0
x2 + y2 – x + y + 2 = 0
(x-1)(x-1) + (y+2)(y+2) = 3
x2 -1x -1x + 1 + y2 +2y +2y +4=3
x2 +y2 -2x +4y + 2=0
A is the answer
What’s x-2 = 3x-84
I just need this answered to be able to answer another equation.
30 points
Answer: x = 41
Step-by-step explanation: You need to isolate x. First, subtract x from each side. You will get:
-2 = 2x - 84
Next, add 84 to each side.
82 = 2x
Divide by 2 on each side.
X = 41
Answer:41
Step-by-step explanation:x-3x=-84+2
-2x=-82
X=-82/-2
X=41
(4x-4) (3x+17)
The lines. intersect at point C. What is the value of X?
Answer:
(21, 80)
Step-by-step explanation:
We have the two lines y = 4x -4 and y = 3x + 17. The point 'C' will be given by the interception of them, as follows:
4x -4 = 3x + 17
Solving for 'x':
x = 21
Now, to find 'y' we have:
y = 4(21) -4 = 80
Therefore, they intercept at: (21, 80)
For this case we must find the value of "x":
We have that, by definition:
[tex]4x-4 = 3x + 17[/tex]
Because they are opposite the vertex.
Then, subtracting[tex]3x[/tex] on both sides we have:
[tex]4x-3x-4 = 3x-3x + 17\\x-4 = 17[/tex]
Adding 4 to both sides:
[tex]x = 17 + 4\\x = 21[/tex]
So, the value of x is 21
Answer:
[tex]x = 21[/tex]
If you buy a car for 15500 an average on an average a new car loses 11% of its value the moment that is driven off the lot once you driving the car back to your new car off the lot what is the value be
Answer:
$13,795
Step-by-step explanation:
15500/x=100/11
(15500/x)*x=(100/11)*x - we multiply both sides of the equation by x
15500=9.0909090909091*x - we divide both sides of the equation by (9.0909090909091) to get x
15500/9.0909090909091=x
1705=x
x=1705
now we have:
11% of 15500=1705
Please help me with this question
Answer:
I
Step-by-step explanation:
At least means greater than or equal to
a ≥ 10
That is a closed circle
We have a closed circle at 10
We have to be at least 10 years old
Closed circle at 10, line going to the right
Find the perimeter of the triangle
Answer:
=136
Step-by-step explanation:
Lets solve the triangle using the sine formula.
c/sine C=a/sine A
C= 180-(72+16)
=92°
61/Sin 92=a/sin 72
a=(61 sin 72)/sin 92
=58.0
Solving for b:
c/sin C= b/Sin B
61/sin 92= b/Sin 16
b=(61 Sin 16)/Sin 92
=16.82
Perimeter = 61 +58+ 16.82 = 135.82
Answer =136 to the nearest whole number.
. Pots
What is the solution to this equation?
x – 9 = 17
ОА. x= 28
Ов. х = 8
Ос. х = 26
OD. х = 12
Answer:
с. х = 26
Step-by-step explanation:
x – 9 = 17
Add 9 to each side
x – 9+9 = 17+9
x = 26
Hershel’s bakery sells donuts by the box there are d donuts in each box Beverly is going to buy 10 boxes for a class trip. Which expression represents the total number of donuts that beverly is going to get for her field trip?
A. 10 x d
Explanation :
1 box has d donuts. So that equation would be 1 x d. 10 boxes has d donuts. So that equation would be 10 x d.
Answer:
A
Step-by-step explanation:
factor the GCF: 12a^3b + 8a^2b^2 — 20ab^3
Answer:
GCF = 4ab
Step-by-step explanation:
We need to factor the GCF of
12a^3b+8a^2b^2-20ab^3
Finding the common term: 4ab
So, GCF = 4ab
Factoring the common term
12a^3b+8a^2b^2-20ab^3= 4ab(3a^2+2ab-5b^2)
work out the area of a circle when the radius is 7cm given your answer in terms of pie
Answer:
49π cm²
Step-by-step explanation:
area = πr²
fill in r=7cm