Answer:
d
Step-by-step explanation:
The false statement is option (d) This relationship is an example of exponential growth.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
The graph shows the value in the account after 2005.
0 indicates the year 2005.
1, 2, ...... indicates 2006, 2007, etc.
A) The value in 2007 corresponds to value of 2, which is 124.44.
True statement.
B) From 2013-2015 means that x values from 8 to 10.
Value of money during 2013-2015 = 180 - 166.19 = 13.81
From 2005-2007 means that x values from 0 to 2.
Value of money during 2005-2007 = 124.44 - 113 = 11.44
So Value of money during 2013-2015 is greater than that of 2005-2007.
True statement.
C) To find the amount account gained per year, find slope.
Slope = Change in y coordinates / Change in x coordinates
Take two points on the line (0, 113) and (2, 124.44)
Slope = (124.44 - 113) / (2 - 0) = 5.72
Hence the account gains $5.72 every year.
True statement.
D) Clearly the function is linear since the graph is a straight line.
Hence this is not a exponential growth.
Hence D is the false statement.
To learn more about Slope, click :
https://brainly.com/question/19131126
#SPJ2
Question 4 of 10 The slope of the line below is - 2. Use the coordinates of the labeled point to find a point-slope equation of the line. (4,-6)
Answer:
y = -2x + 2
Step-by-step explanation:
A family's home is currently worth $1,553,426, which is 70% higher than the home was
worth when they bought it. What was the value of the home when they bought it?
Answer:
The value of home when bought was $913,780.
Step-by-step explanation:
Given that:
Current worth of the house = $1,553,426
This is 70% more than the original worth of the house.
Let,
100 be the original percent and x be the original worth
Percent increase = (100+70)% = 170%
170% of x = $1,553,426
[tex]\frac{170}{100}x=1553426[/tex]
1.7x = 1553426
Dividing both sides by 1.7
[tex]\frac{1.7x}{1.7}=\frac{1553426}{1.7}\\x= 913780[/tex]
Hence,
The value of home when bought was $913,780.
No Solutions 2x + 5 + 2x + 3x = One Solution 2x+5+ 2x + 3x = Infinitely Many Solutions 2x + 5 + 2x + 3x =
Answer:
2x+5+2x +3x=7x+5 2x +5+ 2x + 3x = 7x+5
Step-by-step explanation:
If I was given the explicit formula how to I find the recursive formula?
9514 1404 393
Answer:
solve for f(n) in terms of f(n-1)
Step-by-step explanation:
In general, you solve for f(n) in terms of f(n-k) for k = 1, 2, 3, ....
__
Usually, such questions arise in the context of arithmetic or geometric sequences.
Arithmetic sequence
The explicit formula for an arithmetic sequence has the general form ...
a(n) = a(1) +d(n -1) . . . . . . . first term a(1); common difference d
The recursive formula for the same arithmetic sequence will look like ...
a(1) = a(1) . . . . . . . the first term is the first term
a(n) = a(n-1) +d . . . the successive terms are found by adding the common difference to the term before
__
Note: The explicit formula may be given as the linear equation a(n) = dn +b. Then the first term is a(1) = d+b.
__
Geometric sequence
The explicit formula of a geometric sequence has the general form ...
a(n) = a(1)·r^(n -1) . . . . . . first term a(1); common ratio r
The recursive formula for the same geometric sequence will be ...
a(1) = a(1) . . . . . . the first term is the first term
a(n) = a(n-1)·r . . . the successive terms are found by multiplying the term before by the common ratio
__
Note: The explicit formula may be given as the exponential equation a(n) = k·r^n. Then the first term is a(1) = kr.
__
Other sequences
Suppose you're given the quadratic sequence ...
a(n) = pn^2 +qn +r
Since the sequence is known to be quadratic (polynomial degree 2), we expect that we will only need the two previous terms a(n-1) and a(n-2). Effectively, we want to solve ...
a(n) = c·a(n-1) +d·a(n-2) +e
for the values c, d, and e. Doing that, we find ...
(c, d, e) = (2, -1, 2p)
So, the recursive relation is ...
a(1) = p +q +r
a(2) = 4p +2q +r
a(n) = 2a(n-1) -a(n-2) +2p
__
Additional comment
The basic idea is to write the expression for a(n) in terms of terms a(n-1), a(n-2) and so on. That will be easier for polynomial sequences than for sequences of arbitrary form.
There are some known translations between explicit and recursive formulas for different kinds of sequences, as we have shown above. If you recognize the sequence you have as being of a form with a known translation, then you would make use of that known translation. (For example, Fibonacci-like sequences are originally defined as recursive, but have explicit formulas of a somewhat complicated nature. If you recognize the form, translation from the explicit formula may be easy. If you must derive the recursive relation from the explicit formula, you may be in for a lot of work.)
Find the angle of w please
The price p of a pizza is $6.95 plus $0.95 per topping t on the pizza, write a function rule
Answer:
y= 6.95+0.95t
Step-by-step explanation:
Given data
The price p of a pizza is $6.95
plus $0.95 per topping
let the number of toppings be t
and let the total cost be y
Hence for any number of topping t the cost function is
[tex]y= 6.95+0.95t[/tex]
The function rule for the prize of a pizza is
[tex]P=0.95t +6.95[/tex]
Given :
The price p of a pizza is $6.95 plus $0.95 per topping t on the pizza
Initial price of the pizza is 6.95
The cost of each topping is 0.95 .
Let 't' be the number of toppings on the pizza
Price of a pizza = initial cost of pizza + cost per pizza ( number of toppings)
[tex]p=6.95 +0.95(t)\\P=0.95t +6.95[/tex]
The function rule for the prize of a pizza is
[tex]P=0.95t +6.95[/tex]
Learn more : brainly.com/question/5747203
Find the value of x and the value of y.
A. x = 130, y = 50
B. x = 135, y = 45
C. x = 140, y = 40
D. x = 145, y = 35
Answer:
B. x = 135, y = 45Step-by-step explanation:
x° + y° = 180° {suplementary angles}
x° = 3y° {corresponding angles by parallel lines}
So:
3y° + y° = 180°
4y° = 180°
y° = 45°
y = 45
x° = 3×45° = 135°
x = 135
(91+5) +(31-6)=?
Thanks
Answer:
121
Step-by-step explanation:
96+25=121
Answer:
121
Step-by-step explanation:
(91+5) + (31-6) = ?
The first step is to solve what's in the parenthesis.
91 + 5 = 96
31 - 6 = 25
(96) + (25) =
96 + 25 = 121
(91+5) + (31-6) = 121
Therefore, the correct answer is 121.
Hope this helps :)
3x - 8 = 4(x+5) plz plz plz solve it
Answer:
=−28
Step-by-step explanation:
Solve by factoring.
s2 + 8s + 15 = 0
A combo meal and a salad cost $12
and 2 combo meals and a salad cost
$20.
How much is a combo meal?
How much is a salad?
Answer:
The cost of a combo meal is $8 and a salad is $4.
Step-by-step explanation:
You have to form simultaneous equations with the given informations. Let combo meal be m and salad is s :
[tex]m + s = 12 - - - (1)[/tex]
[tex]2m + s = 20 - - - (2)[/tex]
Next, you have to solve these equations :
[tex](2) - (1)[/tex]
[tex]2m + s - m - s = 20 - 12[/tex]
[tex]m = 8[/tex]
[tex]sub \: \: m = 8 \: \: into \: \: (1)[/tex]
[tex](1)⇒[/tex]
[tex]8 + s = 12[/tex]
[tex]s = 4[/tex]
Answer: 8$,4$
Step-by-step explanation:
0.2(3b - 15c)
plz help me
Answer:
if you meant to simplify here you go
Step-by-step explanation:
0.2(3b - 15c)=
0.2(3b)+0.2(−15c)=
0.6b−3c
Answer:
0.6b-3c
Explination:
0.2(3b - 15c)
we can use dispributive property because of the parentheses
by distributing 0.2 to 3b and -15c
we get 0.6b and -3c
you could be thinking why did the numbers shrink?
the numbers decrease because every time you multiply by a decimal the number decreases
High Hopes
Barry-
Liza wants to have more than $750 in her
savings account before she will leave for college.
Right now she has $300, and she is going to
baby sit to earn $ 12.00 an hour. How many hours
will Liza need to babysit before she leaves for
college? What’s the inequality
Answer:
x is equal to or greater than 38.
Step-by-step explanation:
use the equation 300+12x to find the amount of money in total dependent on x, the number of hours she worked.
Step-by-step explanation:
750-300= $450 left that needs to be save to meet her goal.
set an equation to equal 450 that includes the next part of the information given which is $12 and hour
450=12x
isolate x by dividing 12 to both sides
x= 37.5 hrs
the inequality could be :
750<_ 300+ 12x
can someone help me with this
Answer:
A.) 3/4
Step-by-step explanation:
You can find this by dividing the distance from point Z to point Y by the distance of point X to point Y. The distance from Z to Y is 6 and the distance from X to Y is 8, so that means that the slope is 6/8, which simplifies to 3/4.
The CEO of a cell-phone company has recently noticed a 26% sales decrease in the month of July compared to June. Let n represent June’s sales. If y represents July’s sales, which equation can be used to determine the sales in July?
Answer:
y = n - 0.26n
y = 0.74n
Step-by-step explanation:
The equation that can be used to express the function above is given an Exponential Decrease function
Where:
y = a(1 - r)^t
Where
y = July sales
a = n = June sales
r = rate of decrease = 26% = 0.26
t = time in months = June to July = 1 month
t = 1
Hence, our equation =
y = n( 1 - 0.26)¹
y = n(1 - 0.26)
y = n - 0.26n
y = 0.74n
The equation that can be used to determine the sales in July is given as:
y = n - 0.26n
y = 0.74n
y-y, = m (x - x) if
Slope = 3
Passes though the point (2,-4)
Help please I’m confused! Easy 10 points closer picture then last time
Solve the following system of equations using substitution.
3m + 4n = - 12
n = - m - 2
A.m = -4, n = 2 O B.m = 4, n= -6
C. m = -8, n = 6 O D.m = 3, n = 1
The scale on a drawing is 2:in:5yd. If a length on the drawing is 6 inches, what is the actual length.
Answer:
15 yards
Step-by-step explanation:
proportion:
2/5:6/X
2x=30
x=15
What is the maximum of the sinusoidal function?
Answer: 2
Step-by-step explanation:
Air Jordans cost the Nike Corporation $25 to manufacture in a factory.
A. The cost of the shoes is marked up 760% to obtain the retail price. What is the retail price?
B. You have a coupon for 20% off the retail price of a pair of Air Jordans. If there is a 6% sales tax, what is the final price to buy these shoes?
C. The retail price used to be $125 many years ago. What is the percent of increase from the former retail price to its current retail price (from your answer to part A)?
Answer:
n4ur84234r
Step-by-step explanation:
3874rfbh dc
which shape has diagonals that bisect each other but not at 90 degrees?
Write down the gradient of the line
(1 Point)
y=1/2x
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in point- slope form is
y = mx + c ( m is the slope ( gradient ), c is the y- intercept )
y = [tex]\frac{1}{2}[/tex] x ← is in point- slope firm
with gradient = [tex]\frac{1}{2}[/tex]
8m + 34 = 10 - 16m
How do I do?
Answer:
m=-1
Step-by-step explanation:
8m + 34 = 10 - 16m
fist add 16m to each side
8m+16m+34=10
then subtract 34 from each side
8m+16m=10-34
add like terms
24m=-24
divide both sides by 24
m=-1
a bus accelerates from 2 m/s to 10 m/s in 5 seconds. What was its average acceleration?
Please Help
Answer:
I believe the answer is 4. Please correct me if I’m wrong.
Step-by-step explanation:
================================================
Work Shown:
A = old velocity = 2 m/s
B = new velocity = 10 m/s
C = change in time = 5 seconds
D = average acceleration
D = (change in velocity)/(change in time)
D = (B-A)/C
D = (10-2)/5
D = 8/5
D = 1.6 m/s^2
The acceleration 1.6 m/s^2 means that the velocity is increasing by 1.6 m/s for every second.
need help quickly! please
Answer:
░░░░░▒░░▄██▄░▒░░░░░░
░░░▄██████████▄▒▒░░░
░▒▄████████████▓▓▒░░
▓███▓▓█████▀▀████▒░░
▄███████▀▀▒░░░░▀█▒░░
████████▄░░░░░░░▀▄░░
▀██████▀░░▄▀▀▄░░▄█▒░
░█████▀░░░░▄▄░░▒▄▀░░
░█▒▒██░░░░▀▄█░░▒▄█░░
░█░▓▒█▄░░░░░░░░░▒▓░░
░▀▄░░▀▀░▒░░░░░▄▄░▒░░
░░█▒▒▒▒▒▒▒▒▒░░░░▒░░░
░░░▓▒▒▒▒▒░▒▒▄██▀░░░░
░░░░▓▒▒▒░▒▒░▓▀▀▒░░░░
░░░░░▓▓▒▒░▒░░▓▓░░░░░
░░░░░░░▒▒▒▒▒▒▒░░░░░░
Step-by-step explanation:
Bill is h cm tall. Sienna is 4 cm taller than Bill. What is the expression in terms of h for sienna height in centimeters.
If the area of a rectangle is x2 – 13x + 40, what are the lengths of
the two sides?
Answer:
5 and 8
Step-by-step explanation:
quadratic formula.
-(b)+sqrt(b)^2-4(a)(c)
^ans
divide the whole thing by 2(a).
If the formula isn't clear, search quadratic formula up.
At Silver Gym, membership is $20 per month, and personal training sessions are $35 each. At Fit Factor, membership is $40 per month, and personal training sessions are $25 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
NEED IT DONE ASAP BY 6:00
Answer:
20+35x=40+25x, 35x- 25x=40-20, 10x=20, x=2 , 2 sessions
Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 60 grams, how much of the element would remain after 30 years, to the nearest whole number?
Answer:
2,325 grams !
Step-by-step explanation: