Answer:
Part A:
Option A is a linear function
Part B:
a(t) = t × 100 + 1000
Part C:
Option B is an exponential function
Part D
[tex]b(t) = 1000 \times (1 + 0.1)^t[/tex]
Part E:
There will be a significant difference in the value of Bridget's investment after 20 yeas if she uses Option A over Option B
Step-by-step explanation:
The given parameters are;
The amount Bridgette has to invest = $1,000
The value of each investment option is given as follows;
Number of years [tex]{}[/tex] Option A [tex]{}[/tex] Option B
1 [tex]{}[/tex] 1100 1100
2 [tex]{}[/tex] 1200 1210
3 [tex]{}[/tex] 1300 1331
Part A:
Given that the first difference between subsequent data values are 2 - 1 = 1 and 1200 - 1100 = 100, 3 - 2 = 1 and 1300 - 1200 = 100 both of which are constant, the type of function that would be best to describe option A is a linear function
Part B:
The function a(t) for Option A is given as follows;
The rate of change of the function amount with time is (1300 - 1200)/(3 - 2) = 100
Therefore, comparing with the general form of a linear function, y = m·x + c, we have;
m = The rate of change of the function = 100
The y-intercept, the value of the amount a 0 time (the start of the investment) = c = 1000
The function in terms of t, a(t) = t × 100 + 1000
Part C:
The first difference of Option B are different but the first ratio given as follows;
1210/1100 = 1331/1210 = 1.1 = Constant which is the characteristics of an exponential variable
Therefore, the equation to describe the value of the investment in dollars, of Option B is an exponential function
Part D
We, have for an exponential function;
[tex]b(t) = 1000 \times (1 + r)^t[/tex]
When t = 1, we have;
[tex]b(1) = 1000 \times (1 + r)^1 = 1100[/tex]
∴ 1 + r = 1100/1000 = 1.1
r = 1.1 - 1 = 0.1
We check for t = 2, to get;
[tex]a(2) = 1000 \times (1 + 0.1)^2 = 1210[/tex]
We check for t = 3, to get;
[tex]b(3) = 1000 \times (1 + 0.1)^3 = 1331[/tex]
The function b(t) to describe the value of the investment in dollars, of Option B after t years is [tex]b(t) = 1000 \times (1 + 0.1)^t[/tex]
Part E:
The investment value after 20 years is given as follows;
For Option A, we have;
a(20) = 20 × 100 + 1000 = 3000
For Option B, we have;
[tex]b(20) = 1000 \times (1 + 0.1)^{20} \approx 6727.5[/tex]
Therefore, the difference in the investment value after 20 years for Option B and Option A is approximately $6727.5 - $3000 = $3727.5 which is significant.
find the perminiter of this parallegram and ill give you brainlest, thanks for the answer, I wont accept random answers and ill have you banned
Answer:
894 square miles
Step-by-step explanation:
The area of a parallelogram is base•height. In this case the base is 37.25 and the height is 24 (the parallelogram. is sideways). 37.25•24=894.
Jennifer bought 3 shirts for $48.00. At the same rate, how much would Jennifer pay for 10 shirts?
Answer:
160.00
Step-by-step explanation:
48 divided by 3 is 16, 16 times 10 is 160.
Answer:
160 bucks
Step-by-step explanation:
48/3=16
16x10=160.
160 bucks
drop the craziest thing you have ever done the best answer gets to be the top brainliest let it begin plus u gt 50
Okay so not super crazy but one night me, my brothers, my cousin, and a few friends from our campground stayed up all night and walked in the rain. Not the crazy part though obviously. It was pouring and we got to the complete opposite side of the camp and through the woods and thought it was a good idea to go to the 'abandoned bathrooms" at like 2 in the morning. So we walked through the woods and made it there, we then found that someone boarded it up so you couldn't enter the bathrooms anymore. My older brother found a crowbar on the ground and beat the hecc out of the boys side boards until we could go in. We went in and messed around for a bit. We didn't make it home until the early hours of the morning. It was really fun and we got to scare my cousin lol
IT’S TIMED NEED HELP ASAP! If you don’t know please don’t answer
5. Bobby guessed there were 92 jelly beans in a jar. There were actually 107 2 points
jellybeans. Find the percent of error. Round to the nearest hundredth of a
percent if necessary.
HELP IM IN A QUIZZZ
Answer: 14%
Step-by-step explanation:
From the question, we are informed that Bobby guessed there were 92 jelly beans in a jar when there were actually 107. The percentage error will be:
= Difference in error / Actual value × 100
= (107 - 92) / 107 × 100
= 15/107 × 100
= 0.14 × 100
= 14%
Michael has 6 dimes. He plans to give 5 dimes to his cousin. He can use the expression 6 - 5 to find how many dimes he will have left. Cross out integer chips to model 6 – 5. - -
Answer:
1 dime? I don't see an integer chip or whatever.
Step-by-step explanation:
What is the answer???
Answer:
side IG < side HI < side GH
(greatest to least)
Step-by-step explanation:
angle with respect to appropriate side
angle GHI < angle HGI < angle HIG
You sold a total of 56 student and adult tickets for a total of $328. Student tickets cost $5 and adult tickets cost $8. How many student tickets were sold?
Answer:
The number of student ticket sold is 40
Step-by-step explanation:
Given;
total number of tickets sold,= 56 tickets
total amount the tickets were sold, = $328.
cost of student tickets, = $5
cost of adult ticket, = $8
Let the number of student ticket sold = x
Let the number of adult ticket sold = y
To determine the number of student tickets sold, we will have the following equations;
x + y = 56 ------ equation (1)
5x + 8y = 328 -----equation (2)
from equation (1), y = 56 - x
Substitute the value of y in equation (2);
5x + 8y = 328
5x + 8(56 - x) = 328
5x + 448 - 8x = 328
5x - 8x = 328 - 448
- 3x = - 120
x = 120 / 3
x = 40
Therefore, the number of student ticket sold is 40
If f(x)=2x and g(x) = x+5 then (fg)(x)=
3. Jackson ordered puppy t-shirts for a few of his friends. He paid $25 a shirt and $12 in shipping and handling. If he spent $287, how many shirts did he buy?
Answer:
11
Step-by-step explanation:
11 × 25 + 12
287 -12
275 ÷ 25
Answer:
d
Step-by-step explanation:
esa es la respuesta correcta
What is the prime factorization of 18?
2x3
2x9
2x3x3
2x3x9
Answer: 2 × 3 × 3 or we can also write them as 2 × 32, where 2 and 3 both are prime numbers.
What is the value of 4/15 /2/3
I'm assuming your dividing 4/15 by 2/3.
The answer is not exact, but a close estimate.
4/15 /2/3 = 8/45
Answer ASAP
————————-
Answer:
it should be 680
Step-by-step explanation:
1 kilogram is 1000 grams
720*6=4320
5000-4320=680
Hellpp!!! will award brainliest for the first correct answer
Answer:
a) (-2,-1)
b) (-3,0) (-1,0)
Step-by-step explanation:
It tells you on the graph
Answer:
a) I think the turning point is max or min correct? If so, the min of the function is (-2, -1) AKA the vertex
b) I also think the roots are just another way to say the x-intercepts so in that case, the roots are (-1, 0) and (-3, 0)
Step-by-step explanation:
I hope that helps!
A linear function has a y-intercept of 4 and passes through the point (-6 , 1 ) what is the slope of this line
Answer: m= 1/2
Step-by-step explanation:
It rises +3 and shifts right 6, and if simplified gives you 1/2.
George is tracking the growth of his tomato plant. It is currently 13 cm tall and grows 2 cm per day.
18. Write an equation to represent this situation.
19. How tall will the plant be after 2 weeks?
Answer:
growth = 2 x day
^growth based off what day it is
^how much it grows per day
^ day at hand
2x14 (2 weeks)= 28 cm
?
I need this, help please
Answer:
Step-by-step explanation:
it is C. the third one
HURRY PLEASE I DONT WANT TO FAIL
Answer:
2 is A. no solution
3 is C. 6
Step-by-step explanation:
QUESTION 1
Which of the following transformations preserve congruence?
I. Rotation 90° clockwise
II. Reflection over the x-axis
III. Dilation by a scale factor of 2
AI and III only
B II and III only
C III only
DI and II only
Answer:
None of them are correct
Zeke ran 4 1/2 miles around the track. Each lap is 1/2 of a mile. How many laps did Zeke
run?
Answer:
Zeke ran 9 laps.
Step-by-step explanation:
Find the length of the missing side plz
Answer:
b = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASTrigonometry
Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is hypotenuseStep-by-step explanation:
Step 1: Identify
We are given a right triangle. We can use PT to solve the missing side.
Step 2: Define
leg a = 60
hypotenuse c = 61
leg b = ?
Step 3: Find leg b
Substitute: 60² + b² = 61²Exponents: 3600 + b² = 3721Isolate b term: b² = 121Isolate b: b = 11Y’all which color!!!
How many planes appear in the figure?
Answer:
five planes appear in the figure
A square table has a perimeter of 16 feet.
Which of these is the length of a side of
the table?
Answer:
4
Step-by-step explanation:
16/4=4 (16 is the perimeter divided by the 4 equal sides since it is a square)
During his first three months with the Houston Astros, Yordan Álvarez's batting average was represented by three hundred seventeen thousandths.
What is the value of the digit in the hundredths place written using numerals and expanded notation?
0.3 and (3 x110)
100 and (1 x 100)
0.01 and (1 x1100)
0.007 and (7 x11000)
Answer:
The correct option is;
0.01 and (1 × 1/100)
Step-by-step explanation:
The given parameters includes;
The batting average of Yordan Alvarez's = 0.317
Therefore, we have;
The digit in the hundredths place = 0.01
The expanded notation for the value of the hundredth place is given by the product of the digit and the place value digit as follows;
The expanded notation = 1 × 1/100.
Help me please not tryna fail !
Answer:
x=27
∠JLK=2x+1=2(27)+1=55
Step-by-step explanation:
∠A+∠K=180
3x+13+∠K=180
∠K=167-3x
∠K+∠L+∠J=180
167-3x+39+2x+1=180
207-x=180
x=27
∠JLK=2x+1=2(27)+1=55
Don't worry, you aren't gonna fail. Take a deep breath and relax. Geometry is tricky but you got this. Have a nice night.
Answer:
x = 27°∠JLK = 55°Step-by-step explanation:
∠AKL is exterior angle and as per property it is equal to sum of two non-adjacent angles:
∠AKL = ∠ KJL + ∠JLK3x + 13° = 39° + 2x + 1°Solving for x
3x - 2x = 39° + 1 - 13x = 27°And finding the value of ∠JLK:
∠JLK = 2x + 1 = 2*27° + 1° = 55°If 3g - 11 + 3y, what is the value of y when g is 12?
Answer:
25 + 3y
Step-by-step explanation:
3g - 11 + 3y when g = 12
~Substitute
3(12) - 11 + 3y
~Simplify
36 - 11 + 3y
~Combine like terms
25 + 3y
Best of Luck!
Answer:
y=25
Step-by-step explanation:
I think this may be the answer but I'm not sure.
g(n) = n^2+2
The composite function
(gºg)(-3)
Answer:
123
Step-by-step explanation:
[tex]g(n)=n^2+2\\g(g(-3))=g((-3)^2+2)=g(9+2)=g(11)=11^2+2=121=2=123[/tex]
TRUE or FALSE: Darrell writes 15 text messages in 5 minutes. That is the same rate as 30 text messages in 15 minutes.
True
False
Answer:
false false false
Step-by-step explanation:
hope this helps :]
I WILL GIVE BRAINLIEST SOLVE THESE PROBLEMS.
1) A store has hats for $9 each on a square table. The table is covered in hats and each hat uses 1 square foot of space. If the table is 5 feet square, how much would all the hats on the table cost?
2) A cube shaped tank has edged lengths of 1/2 foot. Sheldon used the expression s^3 = V to find the volume, What was the volume of the tank in cubic feet?