We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the following exponential function: [tex]y = 48000(0.76)^t[/tex] where y represents the car's value and t represents time in years. We are asked to find the decay rate as a percentage.
We know that an exponential decay function is in form [tex]y=a\cdot (1-r)^x[/tex], where,
y = Final value,
a = Initial value,
r = Decay rate in decimal form,
x = time.
Upon comparing our given function [tex]y = 48000(0.76)^t[/tex] with standard decay function [tex]y=a\cdot (1-r)^x[/tex], we can see that [tex]1-r=0.76[/tex].
Let us solve for r.
[tex]1-1-r=0.76-1[/tex]
[tex]-r=-0.24[/tex]
[tex]r=0.24[/tex]
Let us convert 0.24 into percentage.
[tex]0.24\times 100\%=24\%[/tex]
Therefore, the decay rate is 24%.
The table shows input and output values for a cubic function. What is an approximate zero of the function?
Use the drop-down menus to complete the statements. A zero can be found between input values of blank because blank. One zero of the function is approximately blank.
The first blank or tab is -2 and -1, -1 and 0, 0 and 1, or 1 and 2
The second blank or tab is "the input values contain zeros", "the difference of these values is closest to zero" or "zero falls between the values f(x) for these inputs"
The third blank or tab is -0.9, -0.25, 0.25, or 0.9
What answers are they?
Answer:
Answer: first one is -1 and 0
Second one is: zero falls between the values of f(x) for these inputs
Third one is: -0.9
Step-by-step explanation:
A zero can be found between the input values of -1 and 0 because zero falls between the values f(x) for these inputs.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Cubic functions are functions of the form,
f(x) = ax³ + bx² + cx + d = 0
We have input values and output values for those input values for the cubic function.
A zero of the function is the value of the input when output value equals zero.
When x = -1, f(x) = -0.5
When x = 0, f(x) = 2.5
The value of f(x) = 0 between these input values.
One zero of the function is approximately -0.9, which is more approximate.
Hence the zero of the function lies between -1 and 0.
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helpppp thank youuuu
Answer:
12
Step-by-step explanation:
The square root of 144 is 12 and the square root of y^2 is y so y=12
Answer:
12
Step-by-step explanation:
The square root of 144 is 12 c:
y = 12
Write 4.135 as a fraction
The fraction is 4135/1000.
To write the decimal number 4.135 as a fraction, we first observe that the digits 135 are in the thousandths place. Therefore, we can express the decimal as the fraction 4135/1000. This is because the decimal has three decimal places, and each place value to the right of the decimal point represents a power of ten.
When there's an interest in scientific notation, converting fractions into scientific notation may also be required. As an example, a tiny fraction like 0.0000045 would be written in scientific notation as 4.5 * 10^{-6}.
However, the question asks for a simple fraction, not scientific notation. Therefore, 4.135 as a fraction is simply 4135/1000.
The number 4.135 can be written as a fraction in the form of [tex]\frac{4135}{1000}[/tex]. In scientific notation, it can be expressed as 4.135 x [tex]10^{-3}[/tex], as moving the decimal point 0 places leaves the number unchanged.
To write the number 4.135 as a fraction, you first need to recognize that it is the same as 4135 divided by 1000 since there are three digits after the decimal point. Therefore, the fraction form of 4.135 is [tex]\frac{4135}{1000}[/tex]. This fraction can be simplified if desired by dividing both the numerator and the denominator by the greatest common divisor.
In scientific notation, the number 4.135 can be expressed as 4.135 x [tex]10^{-3}[/tex], because the power of 10 that keeps the number in its original form here is 0. Remember that scientific notation is written as a product of a number between 1 and 10 and a power of 10, where the power indicates how many places the decimal point is moved to the right (for positive powers) or to the left (for negative powers). Because the number is more than 1 but less than 10, we can keep it as is with a power of 10 that is 0.
Angel is trying to decide which parking garage to use. Polite's parking charges a flat fee of $2 plus $4 per hour. Gray's garage charges a flat fee of $8 plus $2 per hour.
For how many hours with the cost of parking in either garage be the same, and what will the cost be?
[tex]\text{Turn the scenarios into equations:}\\\\\text{Polite's parking:}\\\\y=4x+2\\\\\text{Gary's garage:}\\\\y=2x+8\\\\\text{To find when the parking costs the same, solve the expressions together:}\\\\4x+2=2x+8\\\\\text{Solve for x:}\\\\4x+2=2x+8\\\\\text{Subtract 2x from both sides}\\\\2x+2=8\\\\\text{Subtract 2 from both sides}\\\\2x=6\\\\\text{Divide by 2}\\\\x=3\\\\\boxed{\text{In 3 hours, the cost will be the same}}\\\\[/tex]
[tex]\text{To find the cost, plug in 3 to x in one of the equations:}\\\\y=4(3)+2\\\\y=12+2\\\\y=14\\\\\boxed{\text{The cost would be \$14}}[/tex]
A pizza is divided into 16 slices.Elizabeth eats 1/8 of the pizza in 10 minutes at this rate, how many slices can she eat in an hour? How long will it take her to eat the pizza
Answer:
1/8 of a 16 slice pizza is 2 slices
one hour had 60 minutes
10x6
2x6=12 she would eat 12 slices in a hour
it would take her 80 minutes to eat the whole pizza
8x2=80 minutes
Step-by-step explanation:
On which spinner do you have a better probability of landing on green?
Answer:
Spinner 2
Step-by-step explanation:
Spinner 2 because it takes a greater space on the circle graph
Solve for x in the following:
8x^2 + 6x = -5
Answer:
No solution or
(-3±[tex]2i\sqrt{31}[/tex])/8
Step-by-step explanation:
To get the solution, move everything to the left side of the equation:
8x²+6x+5 = 0
If you try to factor the equation or graph it, you will see that it will never equal 0.
If you need an imaginary solution you can plug it into the quadratic equation:
-6±[tex]\sqrt{36-160}[/tex] over 16
Simplify and you get
-6±[tex]i\sqrt{124}[/tex] over 16
-6±[tex]4i\sqrt{31}[/tex] over 16
Simplify the fraction and you can get
(-3±[tex]2i\sqrt{31}[/tex])/8
What is the probability of at least 2 people having the same birthday as you in a class of 29 students?
Answer:
The chance that the second person has the same birthday is 1/365. To find the probability that both people have this birthday, we have to multiply their separate probabilities. (365/365) * (1/365) = 1/365, or about 0.27%
what is the final amount if 2024 is increased by 17% followed by a 15% decrease give your answer rounded to DP.
2024 + 0.17(2024) = 2368.08
2368.08 - 0.15(2368.08) = 2012.868
The final amount is 2012.868.
Hope this helps!! :)
Answer:
2012.9
Step-by-step explanation:
17% increase of 2024
17/100 × 2024
34408/100
344.08
344.08+2024
2368.08
15% of 2368.08
15/100 ×2368.08
0.15×2368.08
355.212
Since it's a decrease
2368.08-355.212
=2012.868~2012.9
So the final answer is 2012.9
Solve for the inequality -6× - 17> 8× + 25
Step-by-step explanation:
[tex] - 6x - 17 > 8x + 25 \\ - 6x - 8x > 17 + 25 \\ - 14x > 42 \\ \frac{ - 14x}{14} > \frac{42}{14} \\ - x > 3 \\ x < - 3[/tex]
shelly wants to earn at least $500 this week.she made $45 babysitting and earns $12.50 per hour at a grocery store.How many hours does she need to work at the grocery store to meet her goal?
Answer:
36.4 hours
Step-by-step explanation:
500=45+12.50x
455=12.50x
36.4=x
Answer: She has to work at least 37 hours at the grocery store to meet her goal.
Step-by-step explanation:
y=mx+b
500=12.50x + 45
when you solve this equation you get 36.4 which rounds to 37.
The sum of nine-tenths and g is two-thirds solve for g
Answer:
- 7/30
Step-by-step explanation:
9/10 + g = 2/3
So subtract 9/10 from both sides of the equation to get g = -7/30
Thank me later :D
To solve for g, the sum of nine-tenths and g is two-thirds. By multiplying every term by the least common denominator and simplifying, we find that g is equal to -7/30.
Explanation:To solve for g, we need to isolate g on one side of the equation. Given that the sum of nine-tenths and g is two-thirds, we can write it as an equation: 9/10 + g = 2/3. To eliminate the fraction, we can multiply every term by the least common denominator (LCD), which is 30. This gives us 27 + 30g = 20. Simplifying the equation gives us 30g = -7. Finally, we can solve for g by dividing both sides of the equation by 30, resulting in g = -7/30.
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The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x?
The value of x is 48°. Therefore, the answer is (A) 48.
We can solve for the value of x using the properties of parallel lines and transversals.
**Given:**
* Two parallel lines cut by a transversal.
* Two alternate exterior angles formed by the transversal on the parallel lines:
* **2x + 2°**
* **x + 50°**
**Solving for x:**
1. **Alternate Interior Angles:** We know that alternate interior angles formed by a transversal cutting parallel lines are congruent. Therefore:
- 2x + 2° = x + 50°
2. **Solve for x:**
- Combine like terms: x + 2° = 50°
- Subtract 2° from both sides: x = 48°
Therefore, the value of x is **48°.**
Therefore, the answer is (A) 48.
The probable question may be:
The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x
A)48
B)51
C)54
D)57
Aiden spins the spinner shown 20 times. His results are shown in the table. What are the experimental and theoretical probabilities for spinning red? A) experimental = 3/4 , theoretical = 1/4 B) experimental = 1/4 , theoretical = 3/4 C) experimental = 1/4 , theoretical = 3/20 D) experimental = 3/20 , theoretical = 1/4
Answer:D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
cause 1/4th is cause there are four equal areas and 3/20th cause he spun it 20 times but only landed on red three times
also you forgot the photo so here's the photo you needed to put up
Help would be very much appreciated! Please HELP ME! Thanks
Answer:
∠ AXC = 170°
Step-by-step explanation:
Since XB bisects ∠ AXC then ∠ AXB and ∠ CXB are congruent, that is
∠ AXB = ∠ ∠ CXB = 85° and
∠ AXC = ∠ AXB + ∠ CXB = 85° + 85° = 170°
Sandra’s mother said she can take a break for homework for 1/3 of an hour or for 15 minutes. Which should she choose?
Given DOG, find DG. Round your answer to the nearest hundredth.
Answer:
99.8
Step-by-step explanation:
Answer:
the answer is 8.62
someone please answer this for me.
Answer:
the answer is 83 degrees
The probability of a hurricane being within 100 miles of a location in two days is 40%.
Answer: unlikely
Step-by-step explanation:
Brandon is proud of his work in math class he has gotten a 90% on each of the past 5 weekly
quizzes. This week he is feeling sick and was not able to study so he got a 75%. Which statement
below is true?
unknown
Step-by-step explanation:
please post the answer choices
evaluate the limit, or state that the limit does not exist. 9n - 3n / 2n
a.9
b. 3
c. limit does not exist
d. 0
Answer:
3
Step-by-step explanation:
Evaluating the limit of the function 9n - 3n / 2n.
First we factor out n from the numerator of the function to have
F(n) = n(9-3)/2n
Cancelling the variable n at the numerator with the one at the denominator we have:
Iim f(n) = 9-3/2
Iim f(n) = 6/2
Lim f(n) = 3
This shows that the limit of the function given is 3 no matter what the variable x is tending to.
Answer: Option b) 3
Step-by-step explanation:
We want to take the limit of the equation: (9n - 3n)/2n
Let's do it:
[tex]\lim_{n \to \infty} \frac{9n - 3n}{2n} = \lim_{n \to \infty} \frac{n(9-3)}{2n} = \lim_{n \to \infty} \frac{6}{2} = 3[/tex]
Really does not matter where we are looking for the limit, because this is a constant equation, so we have that the correct option is b) 3
Factor 10a3b - 5a2b2 - 15ab
Answer:
=-5ab
Step-by-step explanation:
Rewrite: -15 as 3*5
Rewrite: -5 *2*2 as 1*5
Rewrite: 10 *3 as 6*5
=6* 5ab +4 *5ab +3ab
Factor out common term 5ab
=5ab(6-4-3)
=-5ab
Jake's test scores for the first term of chemistry class were 78, 68, 73, 94, and 62. Which of the measures of central tendency would make Jake's test scores seem as high as possible? *
Mean
Median
Mode
Range
Answer:
Mean
Step-by-step explanation:
For the mean, his score is a 75 (78+68+73+94+62/5)
For the median, his score is a 73 (in order: 62 68 73 78 94, the middle number is the median)
There is no mode because there are no repeating numbers
For the range, his score is a 32. (highest - lowest: 94-62)
This should be right, hope it helps. :)
Answer:
Mean is the highest average out of all = 75
Step-by-step explanation:
The "range" of a list a numbers is just the difference between the largest and smallest values.
Ans The range = 94-62 = 32
Find the mean, median, mode, and range for the following list of values:
62, 68, 73, 78, 94
The mean is the usual average, so you add and then divide:
(62, 68, 73, 78, 94 ) ÷ 5 = 75
Ans = mean of 75
The median is the middle value, so first I'll have to rewrite the list in numerical order:
62, 68, 73, 78, 94
Ans = median of 73
There are five numbers in the list, so the middle one will be the 3rd number.
The mode is the number that is repeated more often than any other, so 70 if data was in 10's would be the mode.
range: 32
mean: 75
median: 73
mode: 0
4(3r+2)-7x i need help every answer i get is wrong.
Answer:
12r+8-7x
Step-by-step explanation:
First distribute the 4 into each of the numbers in the parenthesis:
4 x 3r=12r
4 x 2=8
Final answer:
12r+8-7x
Answer:
x>10
SOOO YEAH
the sum of two numbers is 14 there diffrence is 6
the two numbers are 10 and 4 because 10+4= 14 and 10-4=6
Solve for a:
12a - 8 = 11a + 3
Answer:
a=11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
12a-8 = 11a +3
First we need to get the variables on one side and the constants on the other side.
So subtract 11a from both sides.
12a-11a -8 = 3
1a -8 = 3 now add 8 to each side
1a = 3+8
1a = 11
what is this please need this 2 x 3
Answer:
6
Step-by-step explanation:
3+3=6
Answer:
6
Step-by-step explanation:
Step 1: Multiply
2 * 3
6
Answer: 6
a company buys a sweater for $14 and marks it up 90%. It later discounts the sweater 25%.
find the selling price of the sweater after the markup.
Answer:
$12.6 after marking it up by 90%
Step-by-step explanation:
Answer:
$12.6 after marking it up by 90%
Step-by-step explanation:
To calculate the markup amount, use the formula: markup = gross profit/wholesale cost. If you know the wholesale cost and the markup percentage, then calculating the gross profit just involves multiplying those two numbers. To get to the final retail sticker price, add the gross profit to the original, wholesale cost.Feb 21, 2017
What is the first step in evaluating the expression 3 × (5 + 4) – 27 ÷ 9
Answer:distribute the 3x
Step-by-step explanation:distribute the 3x to the 5 and 4
A baker is putting cupcakes on a tray to cool she puts 3 cupcakes on the first tray 12 cupcakes on the second tray 48 cupcakes on the third tray and 192 cupcakes on the fourth tray what kind of sequence is this
Final answer:
The sequence shown in this question is an arithmetic sequence with a common difference of 4.
Explanation:
The sequence shown in this question is an example of an arithmetic sequence. An arithmetic sequence is a sequence in which the difference between consecutive terms is always the same. In this case, the difference between each term is 3.
To find the common difference in this sequence, we can divide any term by the previous term. For example, dividing 12 by 3 gives us a quotient of 4, which means the common difference is 4.
Therefore, the sequence is an arithmetic sequence with a common difference of 4.