Error
[tex]\\ \rm\Rrightarrow \dfrac{Difference}{Original}\times 100[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{4.25}{80}\times 100[/tex]
[tex]\\ \rm\Rrightarrow 0.0535(100)[/tex]
[tex]\\ \rm\Rrightarrow 5.35\%[/tex]
[tex] \boxed{ \pmb{\% \: error = \frac{ |approx - actual| }{actual} \times 100 }}[/tex]
Approx = 80Actual = 75.75[tex] \sf\% \: error = \frac{ |80 - 75.75| }{75.75} \times 100[/tex]
[tex] \sf\% \: error = \frac{ |4.25| }{ \frac{303}{4} } \times 100[/tex]
[tex] \sf\% \: error = \frac{ 4.25 }{ \frac{303}{4} } \times 100[/tex]
[tex] \sf\% \: error = \frac{ \frac{17}{ \cancel4} }{ \frac{303}{ \cancel4} } \times 100[/tex]
[tex] \sf\% \: error = \frac{ 17 }{ 303 } \times 100[/tex]
[tex] \sf\% \: error = \frac{ 1700 }{ 303 } [/tex]
[tex] \sf\% \: error = 5.6\%[/tex]
Hailey purchased a new car in 2000 for $29,600. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $12,000 in the year 2007, then what would be the predicted value of the car in the year 2012, to the nearest dollar?
=========================================================
Explanation:
x = number of years since the year 2000
eg: x = 1 represents the year 2001
y = value of the car in dollars
The point (x,y) = (0,29600) is on the curve and it's the y intercept. This is when Hailey bought the car with a value of $29600.
Another point on this curve is (7,12000) to indicate seven years have passed and the car is now worth $12000.
------------------------------
Since the y intercept is 29600, this is the value of 'a' in the equation
y = a*b^x
Meaning we can update it to
y = 29600*b^x
Plug in the coordinates of the other point so we can solve for b
y = 29600*b^x
12000 = 29600*b^7
12000/29600 = b^7
b^7 = 12000/29600
b^7 = 0.405405
b = (0.405405)^(1/7)
b = 0.878991 approximately
------------------------------
We found that
a = 29600b = 0.878991 approximatelySo we go from
y = a*b^x
to
y = 29600*0.878991^x
To verify this, plugging x = 0 should lead to y = 29600
Also, plugging in x = 7 should lead to y = 12000 or very close to it.
------------------------------
The last step is to plug in x = 12 to find the car's value in 2012, i.e. x = 12 years after the year 2000.
So,
y = 29600*0.878991^x
y = 29600*0.878991^12
y = 6296.58182216087
y = 6297
The predicted car's value in 2007 is about $6297
Consider the sequence 10, 2..
Create a totally different sequence that begins 10,2, ... For your sequence, write the next four terms and an equation for t(n). Cannot be arithmetic or geometric.
Answer: see below
Step-by-step explanation:
1) 10, 2, 1.2, 1.12, 1.112, 1.1112
[tex]t_n=\dfrac{t_{n-1}}{10}+1[/tex]
t₁ = 10
t₂ = 10/10 + 1 = 2
t₃ = 2/10 + 1 = 1.2
t₄ = 1.2/10 + 1 = 1.12
t₅ = 1.12/10 + 1 = 1.112
t₆ = 1.112/10 + 1 = 1.1112
2) 10, 2, -2, -4, -5, -5.5, ...
[tex]t_n=\dfrac{t_{n-1}}{2}-3[/tex]
t₁ = 10
t₂ = 10/2 - 3 = 2
t₃ = 2/2 - 3 = -2
t₄ = -2/2 - 3 = -4
t₅ = -4/2 - 3 = -5
t₆ = -5/2 - 3 = -5.5
round 3.94 to the nearst whole
Answer:
4
Step-by-step explanation:
Find the number in the whole number place
3
and look one place to the right for the rounding digit on the right side of the decimal point
9
Round up if this number is greater than or equal to
5
and round down if it is less than
5
PLEASE HELP WILL GIVE BRAINLIEST!!!! Suppose f(x)=x^2-2 find the graph of f(1/2x)
Answer: graph 3
Step-by-step explanation:
find X in the given figure
Answer:
72 degrees
Step-by-step explanation:
If f(x) = 4x^2 - 6x - 1 and g(c) = - x^2 - 5x + 3 Find (F+g) (x)
Answer:
3x^2 - 11x + 2
Step-by-step explanation:
(f+g)(x) = f(x)+g(x)
Equations
Pls give an explanation
2x + 12 = 24
I don’t understand it thank you
Answer:
2x+12=24
first you subtract 12 from both sides
2x+12=24
-12. -12
The 12-12 should cancel itself, the rest of the equation you bring down to get
2x=12 (because 24-12=12)
Now you have 2x=12.
you then divide 2x by both sides.
2x=12
/2x=/2x
The 2x/2x cancels itself out so you then solve for 12/2x.
For this you just divide 12/2 which is 6!
x= 6 is your final answer.
to check this equation you can plug your number back into x to see if it is true! 2(6)+12=24.
6 times 2 is 12 and 12+12 is 24 so your answer (6) is true!
hope this helps! :D
Answer:
[tex]X = 6[/tex]
Step-by-step explanation:
[tex]2x + 12 = 14[/tex]
[tex]-12[/tex] [tex]-12[/tex]
---------------------
[tex]\frac{2x}{2} = \frac{12}{2}[/tex] = [tex]x = 6[/tex]
1. Set the equation up.
2. isolate the x from 2x then do the opposite of 12 to -12
3. subtract from 14
4. make proportion.
5. divide both sides.
6. [tex]Answer= x=6[/tex]
hope this helped :) have a great night.
Jeff has 19 packages he wants to mail. 18 identical packages weigh 12 7/8 pounds each. A nineteenth package weighs 19 times the cost of one package. How many pounds do all the packages weigh together?
Solve the proportion
Which represents the arithmetic means of the following sequence: . . . , 3125, ___, ___, ___, 5? *
a. 2125, 1345, 565
b. 2345, 1565, 785
c. 2455, 1675, 895
Let's start off by defining our first term as u⁰
u⁰ is unknown,u¹=3124,u² is unknown,ect..
Using the recurring formula which states;
u(n+1)=u(n)+d
u¹=u⁰+d
u⁰=u¹-d
u⁰=3125-d
Using the explicit relation, which states;
u(n)=u⁰+nd
u⁵=u⁰+5d
5=3125-d+5d
4d=-3120
d=-780
u²=u¹-780=3125-780=2345
u³=2345-780=1565
u⁴=1565-780=785
You answer is letter C
The arithmetic means of the given sequence is 2455, 1675, 895
let the first term be u(0).
and, first term u(1) = 3124
We can use the recurring formula as:
u(n+1)=u(n)+d
u(1)=u(0)+d
and, u(0)=u(1)-d
and, u(0)=3125-d
Using the explicit relation
u(n)=u(0)+nd
u(5)=u(0)+5d
5=3125-d+5d
4d=-3120
d=-780
and, u(2)=u(1)-780
u(2) = 3125-780
u(2) = 2345
and, u(3)=2345-780
u(3) =1565
and, u(4)=1565-780
u(4) = 785
Learn more about Arithmetic Sequence here:
https://brainly.com/question/15412619
#SPJ2
Which of the following universal sets is C={76,4,99,2} a subset of?
Select the correct answer below:
l={5,9,76,333,4,99,1000,2}
j={44,76,41,99,565,900,77,2}
k={76,90,800,4,99,55,22}
m={77,66,71,4,65,22,99,2}
Answer:
l={5,9,76,333,4,99,1000,2}
Step-by-step explanation:
All of the elements of C are contained in ...
l = {5, 9, 76, 333, 4, 99, 1000, 2}
The mean of 30 test scores was 92. The range of scores was 10.
Answer:
First option.
Step-by-step explanation:
The mean of a set of data is all the data added together divided by the total numbers in that data set. So not only do you have to add an additional 45 to the data set, but you also have to divide the total of all the test scores by the total number of test takers which is now 31.
The range of a set of data is rearranging the data set smallest to largest and then subtracting the smallest from the largest value in the data set. Since the mean is 10 it's a small chance that 45 is either smallest or the largest of the set of data. We don't know the median, or the mode of the data set, nor does the question give us the other 30 test scores so it's between the range and the mean.
The most affected with the inclusion of the additional students test score would be the first option or the "mean."
Hope this helps.
prove the following
please help
Step-by-step explanation:
1. cos x sec x
Secant is the inverse of cosine.
= cos x (1 / cos x)
= 1
2. sin x csc x
Cosecant is the inverse of sine.
= sin x (1 / sin x)
= 1
I need help with these 2 questions
Answer:
use this formula 2 pie r square
2 MULTIPLY BY 1 OVER 4 =
PLS HELP
Answer:
0. 5
Step-by-step explanation:
its lyk two × 1 equals to 2 divide by 4
Step-by-step explanation:
(2×1)÷4. multiply 2 by 1 according to BEDMAS Rule
2÷4. Divide 2 by 4
0.5.
Someone pls I need help with this problem comment asap “what is a division word problem that can be represented by 4/3”
Answer:
4 divided by 3 will be your answer
Answer:
4 divided by 3
Step-by-step explanation:
Given;
what is a division word problem that can be represented by 4/3
Solve;
/ = ÷ or divide
Thus, 4 divided by 3 or Four divided by three.
Division word problem:
The family equally shares 4 boxes of pizza among 3 people
~Learn with lenvy~
Is{(3,-2),(4, -2),(5,-2),(6,-2)} a function?
Answer:
Yes
Step-by-step explanation:
It is because function can be many to one but it cannot be one to many.
The city's budget is 8000000 the city actually spends 12000000 what is the city's deficit
Answer:
-4000000
Step-by-step explanation:
the animal shelter has had 1,008 animals came through in the last year how many is that on average per month
Answer:
85?
Step-by-step explanation:
1008/12 =85 (amount per year/ 12 months) unless it is more complicated than that
if (5^0)^x = 1, what are the possible values of x.
Answer:
x=1
Step-by-step explanation:
if you do 1x5=5 1x0=0 so yur left with 5^0=1
Answer: i think x=1
Step-by-step explanation: 5^0=1 (1)^x=1 x=1
Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
Austin needs 358 programs for the school play on Thursday. How many boxes of programs will he need, given that each box contains 41 programs?
(3x - 40) (x - y) 1 (2y)
Answer:
120xy²
Step-by-step explanation:
times 3 to 40=120
otdwn xy
1x2=2
The number of tribbles on the Starship Enterprise are tripling every hour. Initially, five tribbles were brought on board.1A (10 points) Write an equation to model this scenario? Define the variables being used?1C (10 points) How many more tribbles would there be 16 hours later?1B (10 points) At the given rate, how many tribbles will be on the
ship after 8 hours.Show work.
Using an exponential function, it is found that:
The equation is: [tex]y = 5(3)^x[/tex].After 16 hours, there would be 215,233,605 tribbles.After 8 hours, there would be 32,805 tribbles.What is an exponential function?It is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.In this problem:
The number triples every hour, hence b = 3.Initially, five tribbles were brought on board, hence a = 5.Thus, the equation is: [tex]y = 5(3)^x[/tex]
16 hours later, the amount is:
[tex]y = 5(3)^{16} = 215233605[/tex]
After 16 hours, there would be 215,233,605 tribbles.
8 hours later, the amount is:
[tex]y = 5(3)^{8} = 32805[/tex]
After 8 hours, there would be 32,805 tribbles.
More can be learned about exponential functions at https://brainly.com/question/25537936
21=|c-30| can someone help me.
Answer:
c = 51, 9
Step-by-step explanation:
hope this helps
have an awesome day -TJ
What is 48 1/10-2 7/9
Answer:
Step-by-step explanation:
I'm not sure that my answer is correct but i got 45
here a subtraction problem that has been solved incorrectly 21-9=11 what answer I got b 11+9=20
Answer:
I put the answer on your copy of this question. However, I can at least put the equation here.
You are correct in this case.
11 + 9 = 20 - 9 = 11
11 plus 9 equals 20, 20 minus 9 equals 11 (correct statement)
what is the density of object X if the mass is 100g with a volume of 6
Answer:
4.0 g/ml
Step-by-step explanation:
[tex] Volume_X [/tex] = water displaced by X
Water displaced by object X = Final fluid level - Original fluid level
Water displaced by object X = 90 ml - 65 ml = 25 ml
[tex] Volume_{X} = 25 ml [/tex]
Density of rock:
100 grams => 25 ml
x grams => 1 ml
Cross multiply
x*25 = 1*100
25x = 100
25x/25 = 100/25
x = 4
Density of object X = 4 g per 1 ml = 4.0 g/ml
what is 2/17. i am stuck
Answer:
0.1176470588235294
Step-by-step explanation:
Mmmm, yes. Calculator.
Answer:
a fraction that cant be simplified
Step-by-step explanation:
What is the answer to X /8 = 3; x =
Answer:
it would be x=11
Step-by-step explanation:
thus is 100% right
Please help ASAP! If you know or have the answers to this sheet, please post a picture of it in the comments. Thank you!
Answer:
Question 1 read explanation. Question 2 it's c= 5. Question 3 it's 5 miles. Question4 it's
Step-by-step explanation:
For question 1 it's just asking you to make a right triangle with the segment as the hypotenuse. To do that make a dot on (5,1) and draw the triangle. A hypotenuse is the longest side of a right triangle, opposite the right angle.
For question 2 you just get the units of the triangle. The hypotenuse is always c (the segment). However, it's difficult to find c by just looking at the graph. That's why you plug in the other sides a = 3 and b = 4 (doesn't matter which way) to find c. So, you plug in 3^2 + 4^2 = c^2. This will give 9 + 16 = c^2, which is 25 = c^2. We need c not c^2! That means we square 25 to get 5. c = 5!
For question 3, you use the answer from question 2 I believe, so it's 5 miles.
For question 4, it's the same as question 1 so if it helps you make a visual on paper. Draw those two dots and to make a right triangle you'll also need the point (1,1). Find the units 8^2 + 10^2 = c^2. c = 2root41.