Using the formula for decrement, the resale value of a $28,000 car that depreciates at a 35% rate annually for three years would be roughly $10,012.
Explanation:This question is about calculating the effects of percent decrease over a period of time. Specifically, the student is asked to calculate the value of a $28,000 car, after it undergoes a 35% percent decrease in value each year for three years. This type of problem is typically solved using the formula v = p * ((1 - r)^n), where v is the final value, p is the initial value, r is the rate of decrease, and n is the number of periods. In this case, the initial value (p) is $28,000, the rate of decrease (r) is 35% or 0.35, and the number of periods (n) is 3 years. Substituting these into the formula, we can find that the resale value after 3 years is v = 28000 * ((1 - 0.35)^3) = $10,011.75. Rounding this to the nearest dollar, we get an estimated resale value of $10,012.
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The linear function y = 1.2x represents Alberto’s speed, y, in meters per minute, when his stride rate is x steps per minute. Alberto’s average stride rate during a 10-kilometer race is 180 steps per minute.
What is Alberto’s average speed during the race?
Answer:
What is Alberto’s average speed during the race?
216 meters per minute
Based on the linear model, which is the best prediction of how long it will take Alberto to finish the 10-kilometer race?
B. 46 minutes
Krystal left the hardware store and traveled toward the recycling plant at an average speed of 61 mph. Scott left at the same time and traveled in the opposite direction with an average speed of 65 mph. Find the number of hours Scott needs to travel before they are 252 mi. Apart
Since Krystal and Scott is heading on opposite directions, therefore the distance between the two would be the sum of their distances from where they left, so:
total distance (d) = distance covered by Krystal (dK) + distance covered by Scott (dS)
d = dK + dS
We know that the formula for distance is:
distance = velocity * time
So,
d = vK * t + vS * t
where
vK = velocity of Krystal = 61 mph
vS = velocity of Scott = 65 mph
d = 252 miles
Therefore:
252 = 61 t + 65 t
126 t = 252
t = 2 hours
Therefore Scott needs to travel for 2 hours.
Solve 4a+3=11 plz step by step
The value of solution of expression is, a = 2
We have to give that,
An expression to simplify,
4a + 3 = 11
Now, Simplify the expression by combining like terms as,
4a + 3 = 11
Subtract 3 on both sides,
4a + 3 - 3 = 11 - 3
4a = 8
Divide 4 into both sides,
a = 8/4
a = 2
Therefore, the solution is, a = 2
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Samantha wants to use her savings of $1150 to buy shirts and watches for her family. the total price of the shirts she bought was $84. the watches cost $99 each. what is the maximum number of watches that samantha can buy with her savings? (1 point)
Answer:
Maximum number of watches Samantha can buy equals:
10
Step-by-step explanation:
Samantha wants to use her savings of $1150 to buy shirts and watches for her family.
The total price of the shirts she bought was $84.
The watches cost $99 each.
Let she bought x watches
then, 84+99x≤1150
subtracting by 84 on both sides, we get
99x≤1066
dividing both sides by 99, we get
x≤ 10.7676
Hence, maximum number of watches Samantha can buy equals:
10
If sin 42° =2/3, then cos 48°=
Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equation of this cubic polynomial function. Recall that the zeros are (2, 0), (3, 0), and (5, 0). What is the y-intercept of this graph?
The equation of the function is [tex]y = \frac 16(x -2)(x -3)(x -5)[/tex], and the y-intercept of the function is -5
A cubic function is represented as:
[tex]y = a(x -x_1)(x -x_2)(x -x_3)[/tex]
The zeros are (2, 0), (3, 0), and (5, 0).
This means that:
(x1, y) = (2, 0)
(x2, y) = (3, 0)
(x3,y) = (5, 0)
So, we have:
[tex]y = a(x -2)(x -3)(x -5)[/tex]
The graph passes through the point (0,-5).
So, we have:
[tex]-5 = a(0 -2)(0 -3)(0 -5)[/tex]
Evaluate the products
[tex]-5 = -30a[/tex]
Solve for a
[tex]a = \frac{5}{30}[/tex]
[tex]a = \frac{1}{6}[/tex]
Substitute 1/6 for a in [tex]y = a(x -2)(x -3)(x -5)[/tex]
[tex]y = \frac 16(x -2)(x -3)(x -5)[/tex]
The y-intercept of the function is when x = 0.
Hence, the y-intercept of the function is -5
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The sum of 2 consecutive odd interferes is 92 find the numbers
92/2 = 46
46-1 =45
46+1 =47
45+47 = 92
numbers are 45 & 47
Find the ratio of 12:7
what is the reciprocal of 0.25
What is the value of the 30th percentile for the data set 6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581?
The 30th percentile for the given data set is 5758.8, calculated by arranging the data in ascending order and interpolating between the 3rd and 4th values.
To find the 30th percentile for the given data set, first arrange the data in ascending order and then calculate the rank of the 30th percentile. The formula to find the kth percentile for a data set with n observations is:
Rank = (k/100) * (n + 1)
For the given data set of 10 values, the 30th percentile rank would be:
Rank = (30/100) * (10 + 1) = 3.3
Since the rank is not a whole number, the 30th percentile lies between the 3rd and 4th values in the ordered set. After arranging the data:
5581
5700
5700
5896
5972
5993
6075
6274
6283
6381
The 3rd and 4th values are 5700 and 5896. We must interpolate to find the exact 30th percentile:
30th Percentile = 5700 + 0.3 * (5896 - 5700) = 5700 + 0.3 * 196 = 5700 + 58.8 = 5758.8
The 30th percentile is 5758.8.
Factor the expression.
One pound of feathers would be easier weighing than one pound of iron
An and ac are opposite rays.all of the following are true except
A = A,B,C are collinear
B = A,B,C are coplanar
C = AB = AC
D = A is between B and C
→It is given that, AB and AC are Opposite rays.
Means point ,A , B and C are collinear that is lying in the same line.
→Points are said to be Coplanar , if they lie in the same Plane.
Line segment Joining Points A, B and C lies on the same surface , so we can say that ,these points are Coplanar.
→As, AB and AC are rays , so point A will be in between C and B.
But, it can be sometimes true that,
→AB=AC
So, Incorrect Statement is:
AB=AC
Janelle is at the movie theater and has $20 to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality: 20≥8 + 4.99x
Please answer, its urgent
After purchasing a movie ticket for $8, Janelle has $12 left to spend on snacks. Each snack costs $4.99, which means she can buy a maximum of 2 snacks.
Explanation:Janelle started with $20 and has already spent $8 on a ticket, leaving her with $20 - $8 = $12 for snacks. Each snack costs $4.99. To determine how many snacks, represented by x, Janelle can buy, we can set up the inequality 12 ≥ 4.99x. Dividing both sides of the inequality by the cost of one snack (4.99) gives us x ≤ ≈ 2.4. Since Janelle cannot buy a fraction of a snack, she can buy a maximum of 2 snacks with her remaining $12.
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If GH is the angle bisector of FGI, which statement about the angle is true
The angle bisector of a given angle divides it into two equal parts. If GH is the angle bisector of FGI, angle FGH and angle HGI will be equal.
Explanation:If GH is the angle bisector of FGI, it means that it splits the angle FGI into two equal parts. Hence the angles FGH and HGI are equal.
For example, if angle FGI is 60 degrees, then the angle FGH and HGI (formed as a result of the bisector) would each be 30 degrees because the bisector divides the 60 degrees into two equal parts. This is the fundamental concept of an angle bisector in geometry.
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Choose the correct description of the graph of the compound inequality x - 3 less than or equal to 5
A- open circle on 8, shading to left
B- closed circle on 8, shading to left
C- open circle on 8, shading to right
D- closer circle on 8, shading to right
Answer:
B- closed circle on 8, shading to left.
Step-by-step explanation:
We have been given an inequality [tex]x-3\leq 5[/tex]. We are asked to choose the correct description of the graph of the compound inequality.
Let us solve for x.
[tex]x-3+3\leq 5+3[/tex]
[tex]x\leq 8[/tex]
Since we have been given a less than or equal to sign, so we will have a solid dot at [tex]x=8[/tex].
Since the solutions for our given inequality are less than and equal to 8, so we will shade in all values of x that are to the left of 8.
Therefore, option B is the correct choice.
The product of twice a number and three three is the same as the difference of five five times the number and three fourths 3 4. find the number.
The ordered pairs below represent a relation between x and y. (-3,-3), (-2,0), (-1,3), (0,6), (1,9), (2,12).
Could this set of ordered pairs have been generated by a liner function?
A. No, because the y-values decrease then increase
B. Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x,y) values you use to calculate it
C. No, because the distance between consecutive y-values is different than the distance between consecutive x-values
D. Yes, because the distance between x-values is inconstant
Find the length of the missing side. The triangle is not drawn to scale.
A. 60
B. 34
C. 169
D. 13
Help with math!!!!!!
Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1? 1, –0.25, –1.5, –2.75, –4, . . . 1, 2.25, 3.5, 4.75, 6, . . . 4, 2.75, 1.5, 0.25, –1, . . . 4, 5.25, 6.5, 7.75, 8, . . .
Answer:
[tex]4,2.75,1.5,0.25......[/tex]
Step-by-step explanation:
f (1) = 4, [tex]f (n + 1) = f (n) - 1.25[/tex]
To get the sequence we start with n=1
Plug in n=1 in the formula
[tex]f (n + 1) = f (n) - 1.25[/tex]
[tex]f (1 + 1) = f (1) - 1.25[/tex]
[tex]f (2) = f (1) - 1.25[/tex], replace f(1)=4
[tex]f (2) = 4 - 1.25=2.75[/tex]
n=2
[tex]f (2 + 1) = f (2) - 1.25[/tex]
[tex]f (3) = f (2) - 1.25[/tex], replace f(2)=2.75
[tex]f (3) = 2.75 - 1.25=1.5[/tex]
n=3
[tex]f (3 + 1) = f (3) - 1.25[/tex]
[tex]f (4) = f (3) - 1.25[/tex], replace f(3)=1.5
[tex]f (4) = 1.5 - 1.25=0.25[/tex]
Sequence is [tex]4,2.75,1.5,0.25......[/tex]
Answer:
C.
4, 2.75, 1.5, 0.25, –1
Step-by-step explanation:
The function f(x) = 5x is an exponential function true or false
In a test of a gender-selection technique, results consisted of 248 baby girls and 13 baby boys. based on this result, what is the probability of a girl born to a couple using this technique? does it appear that the technique is effective in increasing the likelihood that a baby will be a girl?
A man can run a mile in 4 minutes. calculate his average speed in kilometers per hour. show your work. (1 mile = 1.61 km)
1 mile =1.61km
60 minutes per hour
60/4 = 15 ( he can run 15 miles in one hour)
15 x 1.61 = 24.15 km per hour
round your answer if needed
The man's average speed in kilometers per hour is calculated by first converting the distance the man runs to kilometers, based on the 1 mile equals 1.61 kilometers conversion factor, and then converting time to hours, based on the 60 minutes in 1 hour conversion factor. The calculated speed is approximately 24.04 kilometers per hour.
Explanation:The man runs a mile in 4 minutes. Given that 1 mile equals 1.61 kilometers, we can first change the distance the man runs into kilometers: 1 mile * 1.61 km/mile = 1.61 km. Thus, the man's speed is 1.61 km per 4 minutes.
To convert this speed into kilometers per hour, we need to convert the time from minutes to hours. We know that 1 hour is equivalent to 60 minutes, so 4 minutes is equivalent to 4/60 = 0.067 hours. Therefore, the man's average speed in kilometers per hour is 1.61 km divided by 0.067 hours, which equals about 24.04 km/hr.
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Which of the following statements is true regarding the relationship between circles and triangles? A. There are many circles that can be circumscribed about a triangle. B. There are many triangles that can be inscribed in a given circle. C. There is only one unique triangle that can be inscribed in a given circle. D. There are many triangles that can be circumscribed about a given circle.
The true statement regarding the relationship between circles and triangles is option B. There are many triangles that can be inscribed in a given circle.
A circle can be characterized by its center's location and its radius's length.
How to make an inscribed circle in a triangle?There can be many different ways, one can include arc way, one can include angle bisector and perpendicular, and we can even try to discover some.
But usually, (for the angle bisector and perpendiculars), we do the following:
Divide one of the angles in half. Divide another angle in half.
The incenter, or point where they cross, is the inscribed circle's centre.
Construct a perpendicular from the triangle's centre point to one of its sides.
Draw an inscribed circle by placing the compass on the centre point and adjusting the length to where the perpendicular crosses the triangle.
The true statement regarding the relationship between circles and triangles is option B. There are many triangles that can be inscribed in a given circle.
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The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $1.6 trillion?
Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. How will the left side of the equation factor in step 5?
A. (2x + 32)2
B. (4x + 8)2
C. (4x + 16)2
Complete the square to solve [tex]2x^2 + 8x - 12 = 0[/tex].
Soooooooo, [tex](4x + 8)^2[/tex] is your answer. :)
Solution of this equation
Where can the lines containing the altitudes of an obtuse triangle intersect.
Answer: The lines containing the altitudes of an obtuse triangle intersect at a point which lies outside the triangle called orthocenter.
Explanation:-
A line which passes through a vertex of the triangle and is perpendicular to the opposite side is called an altitude of the triangle.
The point where all three altitudes of the triangle intersect is called its orthocenter .
Orthocenter of acute triangle lies inside the triangle.Orthocenter of right triangle lies on the triangle.Orthocenter of obtuse triangle lies outside the triangle.Solve the inequality. Graph the solution set. 26 + 6b 2(3b + 4)
we have
[tex]26 + 6b\geq2(3b + 4)[/tex]
Applying the distributive property on the right side
[tex]26 + 6b\geq6b+8[/tex]
subtract [tex]6b[/tex] from both sides
[tex]26\geq 8[/tex] -------> is true
for all real numbers the inequality is true
therefore
the graph is a shaded area everywhere.
the answer is
the solution is all real numbers
The solution is all real numbers.
It is required to find the solution.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
Applying the distributive property on the right side
26+6b≥6b+8
Then subtract 6b from both sides we get,
26≥8
For all real numbers the inequality is true.
Therefore, the solution is all real numbers.
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