Answer and explanation:
Given: Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:
Number of years 1 2 3
Option 1 (amount in dollars) 1100 1200 1300
Option 2 (amount in dollars) 1100 1210 1331
To find:
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2?
Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.
Part C: Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1?
Solution:
Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.
Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.
Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.
Part A:
In the case of option 1, the linear function can be used to describe the value of the investment after a fixed number of years. This is because, in option one, the amount increases by a fixed amount every year.
In the case of option 2, the exponential function can be used to describe the value of the investment after a fixed number of years. This is because, in option 2, the amount increase is higher than last year.
Part B:
For option 1, the function is
For option 2, the function is
Here, x is the increase in amount every consecutive year.
Part C:
After 20 years, the amount from option 1 would be 3000 and the amount from option 2 would be 4900. Thus, there is a difference between 1900.
Therefore,
Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.
Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.
Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.
Hope this helps
Plsss someone helpppp find the apothem
Answer:
Step-by-step explanation:
53. A=6.
54.we use the Pythagorean theorem =>
8^2=(8:2)^2+x^2
64=16+x^2
x^2=64-16=48
=> A=sqrt(48)= 4*sqrt(3).
You can also visit this site,I think it will be helpful for you to understand the solution better: https://www.wikihow.com/Calculate-the-Apothem-of-a-Hexagon
Find the value of x.
Step by Step
Answer:
sorryi dont know
Step-by-step explanation:
x y
−1 −10
3 14
y= ?x + (?)
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
How to Calculate discount rate
Answer:
[tex]\frac{i\times d}{100}[/tex]
Step-by-step explanation:
To calculate the discount, we multiply the initial amount (i) to the discount (d) and then divide that answer by 100. After we find that answer we then subtract it from the initial price.
For example:
A computer costs $695 and it has a 7% discount. Calculate the total costs of the computer after the 7% discount.
[tex]\frac{695\times7}{100} =695\times7=4865\div100=48.65[/tex]
[tex]695-48.65=646.35[/tex]
[tex]c=646.35[/tex]
The computer (after a 7% discount) costs "$646.35 dollars."
Hope this helps.
please help with this : use 3 for pi
8
——
math
pls help geniuses!!
——————————-
Answer:
C = ( -7 , 6 )
R = 2
SO ...
The ANSWER is "A"
PLEASE HELP FAST
Let (W) be the number of white T-shirts and (T) the number of tie-dye T-shirts.
w+t=500
15w+20t=9000
If w is on the horizontal axis, then the intercepts of the line for the first equation are
x-intercept: (500,0),
y-intercept: (0,500).
what are the intercepts of the line for the second equation?
The x intercepts is ____
//in a drop down box\\
(0,450)
(0,600)
(450,0)
(600,0)
The Y intercept is ___
//in a drop down box\\
(0,450)
(0,600)
(450,0)
(600,0)
Answer:
x-Intercept: 600,0
y-intercept:0,450
Step-by-step explanation:
Got it right on the test
Answer:
The x intercept is 600, 0. The y intercept is 0, 450.
Step-by-step explanation:
I got it correct on edge.
The quotient of 10 and a
Answer:
The answer I believe is 10? Sorry if i am wrong
Step-by-step explanation:
in algebra, if there is a variable without a coefficient, then it just means 1. So a = 1, and 10 ÷ 1 = 10
So , there is this thing that says : "the circumference of a circle is 7,850 , whats the radious?
Answer:
1250 (corrected to 3 significant figures)
Step-by-step explanation:
the formula to calculate circumference is 2πr, where r is the radius.
hence, we can form the equation
2πr = 7850
r ≈ 1249.3663
= 1250 (corrected to 3 significant figures)
How do you do this problem and show work
Answer
the answer is 16 but i cant tell if there is anything after that is there?
Step-by-step explanation:
Answer:
1/x^8
Step-by-step explanation:
x^3*x^2 = x^5
x*x*x*x*x*x*x = x^7
x^5 / x^7 = 1/x^2
(1 / x^2)^4 = 1^4 / x^2*4 = 1/x^8
The temperature on one planet is -42 degrees. On another planet, it is -70 degrees. What is the difference in these 2 temperatures?
Answer:
28 degree difference
Step-by-step explanation:
-70-(-42) = -28
A bootstrap sampling distribution was constructed for a single mean. The sample mean was 100 and the standard deviation was 15. Given a sample size of 30 the standard error was 2.739. If the sample size were increased to 500, how would the standard error change?
a. It would increase.
b. It would stay the same.
c. It would decrease.
Answer:
c. It would decrease
Step-by-step explanation:
When you increase the sample size, you decrease the standard/marginal error since you have a bigger representation of the population. However, this would take time and money to collect data for these big samples.
100 points for user sweet Jennifer Whenever we observe a distant planet, star or galaxy, we are seeing it as it was hours, centuries or even millennia ago. This is because light travels at a finite speed (the speed of light) and given the large distances in the Universe, we do not see objects as they are now, but as they were when the light was emitted.
A bag contains 7 yellow marbles and 35 red marbles. If a representative sample contains 2 yellow marbles, then how many red marbles would you expect it to contain? Explain.
30 maybe, not to sure, sorry if its wrong
im stumped on this question. someone help me plss
Answer:
One of the answers could be linear
Step-by-step explanation:A linear graph is always a straight line, and this looks to demonstrate that. Sorry if this is incorrect, just my understanding.
(4k3 +3k3) - (5k3 + 2k4)
Answer:
-2k
Step-by-step explanation:
Answer: You combine like terms
2k^3-2k^4
A construction company takes 1 3/8 hours to remove 2 1/2 metric tons of dirt from a construction site. What is the unit rate in metric tons per hour? Write your answer as a fraction or a mixed number in simplest form.
PLEASE HELP!! NO LINKS PLZ
Answer:
1 9/11 T/h
Step-by-step explanation:
You want the unit rate in metric tons per hour of removal of 2 1/2 metric tons in 1 3/8 hours.
Unit rateThe unit rate in tons per hour is found by dividing tons by hours:
(2 1/2 T)/(1 3/8 h) = (5/2 T)/(11/8 h) = (20/8 T)/(11/8 h) = 20/11 T/h
= 1 9/11 T/h
The unit rate is 20/11 metric tons per hour, or 1 9/11 metric tons per hour.
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JADA, DIEGO, AND ELENA EACH USE THE SAME SPINNER THAT HAS FOUR (NOT NECESSARILY EQUAL SIZED) SECTIONS MARKED A, B, C, AND D.
JADA SAYS, "THE PROBABILITY OF SPINNING B IS 0.3 BECAUSE I SPUN 10 TIMES, AND IT LANDED ON B 3 TIMES."
DIEGO SAYS, "THE PROBABILITY OF SPINNING B IS 20% BECAUSE I SPUN 5 TIMES, AND IT LANDED ON B ONCE."
ELENA SAYS, "THE PROBABILITY OF SPINNING B IS 2/7 BECAUSE I SPUN 7 TIMES, AND IT LANDED ON B TWICE."
Based on their methods, which probability do you think is most accurate? Explain your reasoning.
Which of these is a service industry?
A. a textile plant
B. an oil refinery
C. an aircraft manufacturer
D. a dry-cleaning store
I think its either c or b but more but not so sure.... help......
Its D i hope that helped
A merchant bought a dozen of books for 1500 birr and sold it at a profit of 15% of its cost price. What is the selling price?
Answer: They sold each book at a price of 143.75 birr
Step-by-step explanation:
1500 divided by 12 is 125 and 15% of 125 is 18.75 so add it together and you got your answer. hope this helps <3
Answer:
C. 1725
Step-by-step explanation:
We can find the selling price by adding the cost price and the profit made
As the merchant has made 15% of profit on 1500 birr . So ,
15% of 1500 is 225 birr
[tex] \frac{x}{1500} \times 100 = 15 \: percent[/tex]
Adding the cost price and profit made we get ,
Selling Price = 1500 birr + 225 birr
Sp = 1725 birr
The answer need help fast please
Answer:
D.) Equation (4)
Step-by-step explanation:
1. y= (2)+6 =8
2. y=2(2)+4 =8
3. y= 3(2)+2 =8
4. y=5(2)-4 =6
This is with tangents I have already figured out one portion of the problems please help
Answer:
-5
Step-by-step explanation:
negative times negative is positive so squared can be negative or positive
Answer:
x = -5, x = 5
Step-by-step explanation:
Tangents to a circle drawn to a point outside the circle are equal in length. Therefore, AB = AC.
Given:
AB = x² + 8AC = 33AB = AC
⇒ x² + 8 = 33
Subtract 8 from both sides: x² = 25
Square root both sides: x = ±5
Therefore, x = -5, x = 5
Does anyone know this problem!! I need help asap!! #help
Answer:
you times that by 7 I think
Step-by-step explanation:
Answer:
3.5 miles
Step-by-step explanation:
i think, if its wrong- s o r r y ;v;
What is the measure of angle Y in this figure
Y=____ degrees
Answer:
163
Step-by-step explanation:
What's great about these problems is that when there is a line that is divided by another line, causing 2 angles, the 2 angles must equal 180 degrees. That means the 163-degree angle + either the x or the z angle would equal 180 degrees. The second best part about this is that if it is separated how yours is, with 2 lines, opposite angles are equal. That means that angle x and angle z are equal, as well as the 163 angle is equal to the y angle. Hope this helps with more than just this problem!
Is the relation shown in the table below a function?
My first question ever, and my last question yet.
Alec and Beau race to compute 1 + 2 + 3 + ... + n. Alec skips two numbers and gets a sum of 92. Beau double-counts two numbers and gets a sum of 145. What is the value of n?
Answer:
n = {14, 15, 16}Step-by-step explanation:
This is a sum of the first n terms of an AP:
S = (1 + n)*n/2The true sum is between 92 and 145:
92 < n(n + 1)/2 < 145184 < n(n + 1) < 290184 < n² + n < 290185 < (n + 1/2)² < 291√185 < n + 1/2 < √29114 ≤ n < 17Let n = 14
S = 14*15/2 = 105Let n = 15
S = 15*16/2 = 120Let n = 16
S = 16*17/2 = 136What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?
Answer:
cylinder91.9 ft³Step-by-step explanation:
a)An object with a uniform circular cross section is generally modeled by a cylinder.
__
b)The formula for the volume of a cylinder is ...
V = πr²h
For the given radius and height, the volume is ...
V = π(1.5 ft)²(13 ft) ≈ 91.9 ft³
The volume of the tree trunk is about 91.9 ft³.
What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?
Answer:[tex] \color{hotpink} \bold{91.85 \: \: ft} [/tex]— — — — — — — — — —
— I will use cylinder to model the tree trunk since it's looks like. (Please refer to the pic)
Formula:[tex] \underline{ \boxed{ \sf \: V=πr²h}}[/tex]where,
V is the Volumeπ (pi) is the constant 3.14r is the radiush is the height– This formula is used when the radius of the base is given.
Solution:Remember that radius has to be multiplied by itself (squared). And pi (π) is the constant 3.14.
– Using the formula above, substitute the givens in the formula then solve.
[tex] V=πr²h[/tex][tex]V=3.14 \times (1.5)² \times 13[/tex][tex] V=3.14 \times (2.25 \times 13)[/tex][tex]V= \underline{ \boxed{ \blue{ 91.85 \: ft ^{3} }}}[/tex]Hence, the volume is 91.85 ft³.
_______________∞_______________
BCDE is a Rhombus.
B
С
55°
E
D
What is the mDBE?
In-n-Out sells their cheeseburger for 4.50 but they charge .50 for extra patties. Carls Jr. sells a cheeseburger for 4.25 and will charge .75 cents for an extra patty. When will the burgers cost the same amount? How many extra patties do they have to order? Solve using tables.
Answer:
just add 0.75 on the bottom
Step-by-step explanation:
In the table to the right, the P(0) is blank so we can assume P(O) = 0 What does a probability equal to zero mean?
Answer:
It means there is no chance this will happen or in other words a 0% chance
Step-by-step explanation: