Answer:
15.1
Step-by-step explanation:
Rounding equation up to the nearest hundred dollars, the car's value 19 years later will be around $2,500.
What is equation?In mathematics, an equation is a statement stating the equality or two expressions. An equation consists of two sides split by an algebraic equation (=). For illustration, the argument "2x + 3 = 9" argues that the statement "2x + 3" is equal to the value "9".
Given that new car is purchased for $18,000 and over time its value depreciates by one half every 3.5 years Because the car depreciates by half every six years, the car's value after t years is provided by:
To determine the worth of the car 19 years after purchase, we have to analyse V(19):
y = 2000
y = a(1/2) ^t/h
q = 18000
h= 3.5
t=19
Therefore,
y = 18,000
y=2,500.52211582
y≈2,500
Thus the car's value 19 years later is around $2,500.
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A shopkeeper earns Rs. 380 in the first week, Rs. 660 in the second week and Rs. 860 in the third week. Earning is the quadratic function of number of week for which the earning is found. a. Find the quadratic function that fits the data
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Answer:
e(w) = -40w^2 +400w +20
Step-by-step explanation:
A graphing calculator or spreadsheet can do the quadratic regression and help you find the formula. Here earnings (e) as a function of weeks (w) can be expressed by ...
e(w) = -40w^2 +400w +20
__
Further development
There are a couple of other ways you can go at this. One is to write equations for a, b, c using the standard form quadratic.
aw^2 +bw +c = e
a +b +c = 380 . . . . . . for week 1
4a +2b +c = 660 . . . for week 2
9a +3b +c = 860 . . . for week 3
The solution of this system of equations will give the coefficients of the quadratic. Your graphing calculator or any of several web sites can solve these equations for you.
__
Consider the differences between quadratic values for w = 1, 2, 3.
e2 -e1 = (4a +2b +c) -(a +b +c) = 3a +b
e3 -e2 = (9a +3b +c) -(4a +2b +c) = 5a +b
Then the second differences are ...
(e3 -e2) -(e2 -e1) = (5a +b) -(3a +b) = 2a
In the given set of numbers, the first differences are ...
660 -380 = 280 . . . . . . . call this d1
860 -660 = 200
And the second difference is ...
200 -280 = -80 . . . . . . . call this d2
From the above, we know that 2a = -80 ⇒ a = -40
and 3a +b = 280 = 3(-40) +b ⇒ b = 400
Finally, a+b+c = 380 = -40 +400 +c ⇒ c = 20
Then the generic solution is ...
a = d2/2
b = d1 -3a
c = e1 -a -b . . . . . where e1 is the first-week's earnings
Melinda is planning to attend a private university after she graduates from high school in 3 years. She is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the private university for one year is $22,500. Her family has promised to contribute $13,500 each year she is in school. Which plan shows the minimum amount of money Melinda must contribute to her savings to have enough money to pay for her first year of tuition? A: save $250 per month for the next 3 years B: Save $375 per month for the next 3 years C: Save $625 per month for the next 3 years D: Save $750 per month for the next 3 years
Answer:
A: save $250 per month for the next 3 years
Step-by-step explanation:
Melinda has three more years in high school as stated in the question.
One year private university tuition = $22,500
Support from family = $13,500
Amount that Melinda has to pay = $22,500 - $13,500 = $9000
Number of months in three years = 3 * 12 = 36 months
If she must save $9000 in 36 months
Then $x must be saved in 1 month
x = $9000/36
x = $250
Marcus has a bag of 10
red chips, 15 blue chips,
and 5 black chips. How
many times would he
expect to pick a red chip if
he did the experiment 60
times?
A) 10
B) 20
C) 30
D) 45
PLEASE HELP THIS IS DUE TODAY
Answer:
B
Step-by-step explanation:
Marcus can expect to have red chip 20 times.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
Given that, Marcus has a bag of 10 red chips, 15 blue chips, and 5 black chips.
He did an experiment 60 times and we need to find that how many times would he expect to pick a red chip,
So,
Here the favorable outcomes = red chips (10)
Total outcomes = all the chips = 15+5+10 = 20
So, the probability of finding a red chips for the 60 times = 10/20 x 60
= 30
Hence, Marcus can expect to have red chip 20 times.
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Suppose that a large family has 14 children, including two sets of identical triplets, three sets of identical twins, and two individual children. How many ways are there to seat these children in a row of chairs if the identical triplets or twins cannot be distinguished from one another
Answer:
First, assume that we have 14 seats in a row.
Let's count the total number of combinations assuming that the 14 kids are differentiable.
In the first seat, we can sit only one child, the number of options is (14)
In the second seat, we can sit another child, in this case, the number of options is 13, because one child is already seated.
For the third seat, we will have 12 options.
for the fourth seat we will have 11 options, and so on.
The total number of permutations is equal to the product between the numbers of options for each case.
Then the total number of permutations is:
P = 14*13*12*11*...*3*2*1 = 14!
Now, we need to discount the permutations of the two sets of identical triplets:
a triplet has 3 elements, then the permutations of each set of triplets is:
p = 3*2*1 = 3!
Then if we discount two sets of triplets, we need to divide by:
d = 2*(3!)
We also have 3 sets of twins, the permutations for each set of twins is:
p = 2*1 = 2!
Then if we discount the 3 sets of twins, we need to by:
q = 3*(2!)
Then the total number of different combinations will be:
[tex]P = \frac{14!}{2*(3!)*3*(2!)} = 1,210,809,600[/tex]
PLSSSSSSSS I NEED HELP
A 7 foot flagpole casts a shadow on a flat concrete patio. The distance
from the top of the pole to the tip of the shadow is 34 feet. What is the
distance along the ground from the base of the pole to the tip of the
shadow (nearest tenth)?
Answer:
33.3 ft
Step-by-step explanation:
Draw a picture, you should see that a right triangle is formed from the flag and shadow. Apply pythagorean theorem. See attached image for work out.
sin(a-30)-sin(a+30)=-coss
Answer:
We know that:
Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)
Then if we use this property in our expression:
sin(a-30)-sin(a+30)
We get:
sin(a)*cos(-30°) + sin(-30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)
Now remember that:
sin(-x) = -sin(x)
and
cos(-x) = cos(x)
Then we can rewrite our expression as:
sin(a)*cos(30°) - sin(30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)
= -2*sin(30°)*cos(a)
and sin(30°) = 0.5
Then:
-2*sin(30°)*cos(a) = -2*0.5*cos(a) = -cos(a)
So we get:
sin(a-30)-sin(a+30)= - cos(a)
What is the volume of water in the trough in cubic feet when the trough is full
Answer is in a photo. I can only upload[tex]^{}[/tex] it to a file hosting service. link below!
bit.[tex]^{}[/tex]ly/3tZxaCQ
Solve for the missing side. Round to the nearest tenth.
х
51°
12
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Answer:
7.6
Step-by-step explanation:
The relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(51°) = x/12
x = 12·cos(51°) ≈ 7.552
x ≈ 7.6
look at pic 10 pts will mark brainilest
mrs .velazco gave her students four options to choose from for the class project
Answer:
Step-by-step explanation:
what are the options
express the following in a a+bi form.
(3 – i)(4 + 7i) – ((5 – i) – 2(1 – 3i))
Answer:
16+12i
Step-by-step explanation:
Suppose the baker has 4 loves of bread and cuts the loves into halves. How many 1/2 pound loaves of bread would the baker have?
Answer:
y diles que yo me se tu pose favorita, que te hablo mal y que eso te U-U
Step-by-step explanation:
Simplify: 9^0. I’m a bit confused so can somebody please help me? (:
Answer:
the answer is 1 because the power of any no. 0 is always 1
The table below represents the closing prices of stock TUV for the first five
days it was open. Using your calculator, what is the equation of exponential
regression that fits these data?
Day
1
2
3
WN
Value
3.938
6.891
12.059
21.103
36.929
4
5
A. y = 2.25. 1.75%
B. y = 2.85.1.55%
C. y = 2.75 1.25%
D. y = 2.55.175
The answer is A the y=2.25
The equation of the exponential regression that fits these data,
y = 2.25 [tex](1.75)^x[/tex]
What is Exponential regression?It is a model that explains processes that increase at twice the rate. It is employed in circumstances where growth starts slowly but quickly accelerates without bounds, or decay starts quickly but slows down to zero.
The formula for expressing Exponential Regression is
y = a[tex]b^x[/tex]
We have given that,
The table below represents The closing prices of stock at TUV for the last five days
Days Value
1 3.938
2 6.891
3 12.059
4 21.103
5 36.929
First we have to find r as
r= 6.891/ 3.938
r = 1.749
As, the standard form of Exponential function
y = a[tex]b^x[/tex]
So, y = 2.25 [tex](1.75)^x[/tex]
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Solve the equation 5x^2-12x-5=-3x to the nearest tenth
Answer:it’s x=(2.2, -0.4)
Step-by-step explanation:
Carmen made $247 for 13 hours of work.
At the same rate, how many hours would she have to work to make $171?
Answer:
9 hours
Step-by-step explanation:
$247/13hours=$19 per hour
$171/$19=9 hours
LCM of (2^3×3×5) and (3×5) is
Answer:
120
Step-by-step explanation:
LCM of (2^3×3×5) and (3×5) is
The LCM of the expression will be the product of all the factors that are in both expressions
(2^3×3×5) = 2 * 2 * 2 * 3 * 5
(3 * 5) = 3 * 5
since 3 * 5 is common to both factors, we will not have to repeat it twice to get our LCM again. Hence the LCM is expressed as;
LCM = 2 * 2 * 2 * 3 * 5
LCM = 8 * 3 *5
LCM = 24 * 5
LCM = 120
Hence the required LCM is 120
I WILL MARK BRAINLY HELP ME PLEASE! :)
Answer:
1. right
2. acute
3. obtuse
4. obtuse
5. acute
6. acute
7. scalene
8. scalene
9. isosceles
10. equilateral
11. scalene
12. isosceles
Step-by-step explanation:
what is the answer?
8 x 1/2 = ______
Answer:
4
Step-by-step explanation:
Another way to write this is 8/1 x 1/2. Then the answer would be 8/2. Simplify to get 4.
8 × 1/2 = 4!
Calculation steps:
8 ×
1
2
= 8 ×
1
2
=
8 × 1
1 × 2
=
8
2
=
8 ÷ 2
2 ÷ 2
= 4
A.11.1
B.12.7
C.9.2
D.8.5
Answer: B. 12.7
Step-by-step explanation:
Answer:
D.8.5
Step-by-step explanation:
38.4/2=
19.2 L
19.2-10.7=
8.5
hope this helps ; )
PLS HELP!! Katie earned 15% more this week than last week. This week she earned $225, how much did she earn last week?
Answer:
$258.75
Step-by-step explanation:
225 * 0.15
Let last weeks pay = x
This week she earned 15% more so she earned 100% + 15% more for 115% total.
Setup an equation:
115% times x = $225
115% as a decimal = 1.15
So the equation is:
1.15x = 225
Solve for x by dividing both sides by 1.15:
X = 225/1.15
X = 195.65
Last week she earned $195.65
All I know it’s not D and i’m super confused and I just want to go to bed
Answer:
C.
Step-by-step explanation:
Before graphing this equation we first need to isolate y on one side like so...
y + 2 = 3(x+1) ... distribute the 3 to both values inside the parenthesis
y + 2 = 3x + 3 ... subtract 2 on both sides
y = 3x + 1
Now that we have the y variable isolated we see that the slope of the function is 3, meaning that for every 1 unit right the line needs to move 3 units up. We also have the value where the line needs to cross the y-axis and that is 1. Using this information we see that the correct graph is C.
Solve system pls
x=y-7 5x-5y=-35
10 pts
Answer:
x=y-75x-5y=-35
Step-by-step explanation:
What is the area of a flower garden with a width of 1.2 m and a length of 3.6 m
Plz help
Answer:
4.32m²
Step-by-step explanation:
Width · Length
3.6 · 1.2 = 4.32
Answer:4.32 m
Step-by-step explanation:When trying to find the area of something with length and width you multiply them both to find your answer. (1.2 x 3.6=4.32) or you can always multiply 12 times 36 and move the decimal to where it belongs.
What is the approximate distance between Chaplain and Asherville?
OA. 30.9 miles
OB.
14.7 miles
O c.
29.8 miles
OD.
16.4 miles
Answer:
B
Step-by-step explanation:
Remark
I'm hesitant to get an exact answer. You could do that with the cos law for distance. To get an approximate answer you could use the Pythagorean Theorem.
I'll try the cos law first.
Formula
c^2 = a^2 + b^2 - 2abcos(C)
Givens
c = 24
a = 18
b = ?
Solution
24^2 = 18^2 + b^2 - 2*18*b*cos(94)
576 = 324 + b^2 - 36*b*(-0.0698)
0 = 324 - 576 + b^2 + 2.511b
0 = b^2 + 2.511 - 252
Using the quadratic formula, the roots are
b1 = 14.66
b2 = - 17.11
The second one has no meaning in the real world.
Answer
the distance is 14.66 miles from Chaplin to Asherville
Note: using the Pythagorean theorem gives 15.87 which I would count as a good approximation.
Answer:
14.7
Step-by-step explanation:
got 100% on plato
what is the radius of 34.54
Answer:
If 34.54 is the diameter then 17.27 is the radius
Step-by-step explanation:
34.54 ÷ 2 = 17.27
help me please im lost
f ( x ) = 1 / x - 2
g ( x ) = 4 / x
_________________________________
( f o g )( x ) = f ( g(x) )
f ( g(x) ) = 1 / g(x) - 2
f ( g(x) ) = 1 / ( 4 / x ) - 2
f ( g(x) ) = x / 4 - 2x
Without solving, tell what is true of the product of 3 and 2/3 =?
Answer:
3 is a whole number while 2/3 is less than 3
Step-by-step explanation:
For which equations does 38 make the equation true? Choose all that apply. A. 4/8+□=7/8 B. 1 1/8−□=1 C. 1 1/8+□=4 1/8 D. 1 6/8−□=1 3/8
Plsss help mark brain list
Answer:
59
Step-by-step explanation:
360 - ( 156 + 86 ) = 118
118 / 2 = 59