Answer:
Even
Step-by-step explanation:
Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.
Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.
Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.
Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.
Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.
Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.
Answer/Step-by-step explanation:
Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.
Part B: a(t) = y.
a(t) = a + 100t
Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.
Part D: b(t) = y.
b(t) = b(1.1)^t
Part E: a(20) = a + 100(20)
1100 + 2000 = 3100
b(20) = b(1.1)^20
1100(1.1)^20
= 7400
There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.
Hope this helps!
Help it’s an easy question I’m just dumb please help me!
Find the x-intercept of the rational function.
A. (0,-2)
B. (-2,0)
C. (0,5)
D. (5,0)
Please explain how you got your answer. Thanks
Answer:
c
Step-by-step explanation:
c i think
Is 5/6 equal to 2/3?
=====================================================
Work Shown:
For now, let's assume they are equal. We'll show a contradiction happens.
5/6 = 2/3
5*3 = 6*2 ... cross multiply
15 = 12 ... here's the contradiction
If the original equation was true, then we would get the same thing on both sides in the final step shown above. However, we get a contradiction, so that means the original equation is false.
Furthermore, the left side is larger in the third step, so the left side is larger for each of the three steps. We can then say
5/6 > 2/3
5*3 > 6*2
15 > 12
Which helps show 5/6 is larger than 2/3.
---------------------
Or you can use a calculator to see that
5/6 = 0.833 approximately
2/3 = 0.667 approximately
which shows the two fractions aren't equal and 5/6 is larger.
Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?
Answer:
32
Step-by-step explanation:
Given that:
Number of granola bars = 96
Number of popcorn balls = 64
Greatest number of party favors that can be made from granola bars and popcorn balls ;
Obtain the greatest common factor of both 96 and 64
Factors of :
96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
64 : 2, 4, 8, 16,32
greatest common factor is 32,
Hence, greatest number of party favors that can be made is 32
A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.
Answer:
Kindly refer to explanation.
Step-by-step explanation:
Given that:
A,B and C are 3 points on circumference of circle with centre O.
AOB is diameter.
Kindly refer to the attached image.
To prove:
[tex]\angle ACB = 90^\circ[/tex]
Solution:
Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].
Construction: Join point A with centre O.
Considering [tex]\triangle AOC[/tex]:
Side AO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle ACO=\angle A=x[/tex]
Considering [tex]\triangle BOC[/tex]:
Side BO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore, [tex]\angle BCO=\angle B=y[/tex]
[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)
Now, in [tex]\triangle ABC:[/tex]
Using angle sum property of triangle:
[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]
By equation (1):
[tex]\angle ACB = 90^\circ[/tex]
Hence proved.
The range of the data:25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is
Answer:
85
Step-by-step explanation:
The range is defined as the difference between the highest observation and lower observation in a data.
Here,
The Highest observation in this data= 91
The Lowest observation in this data=6
Hence,
Range of the data= Highest observation - Lower observation
=91-6=85
Will give brainliest if correct.
Express (31 – 4)(x + 7) - 1x as a trinomial in standard form.
Answer:
This would be 26 x + 189
Identify the equation of a line in point slope from that passes through the points (5,-4) and (-3,2)
Answer:
y = 3/4x - 1/4
Step-by-step explanation:
Calculate the slope of the line passing through the points (4, 7) and (9, -1).
the answer is -8/5
ur welcome lolz
Answer:
The slope is -1.6
What is the slope of the line (-3,0) and (0,-4)
HELPPPP.
Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?
Answer:
500-10x=250
x=how much the bird descended in a second
the bird will land on the ground in another 10 seconds.
Step-by-step explanation:
the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.
Answer:
a) [tex]h(t)=500-25t[/tex]
b) [tex]t=20[/tex]
Step-by-step explanation:
a)
Let [tex]h[/tex] = height above ground
Let [tex]t[/tex] = time
Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.
∴ [tex]h(t) = 500-25t[/tex]
b)
To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:
[tex]0=500-25t[/tex]
[tex]25t=500[/tex]
[tex]t=20[/tex]
∴ It takes 20 seconds for the bird to reach the ground.
Does the set of ordered pairs
represent a function ? Explain.
(7, 8), (9, 10), (0, 1), (-2, -1),
(9,8)
Answer:no
Step-by-step explanation:
Because there’s two number 9’s for the x values
Answer:
no because x = 9 has two y coordintates, and in a function every x value can only have one y value.
Step-by-step explanation:
Jim is baking chocolate chip muffins. He has a total of LaTeX: 7\frac{1}{3}7 1 3 cups of chocolate chips. If each batch of muffins uses LaTeX: \frac{2}{3}2 3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake.
Answer:
Step-by-step explanation:
Total cups of chocolate available = 7 1/3 cups
each batch uses 2/3 of a cup of chocolate
To get the number of batches of muffin Jim can bake, we will use the equality postulate.
1 batch = 2/3 cup of a chocolate
x batch = 7 1/3 cups of chocolate
Cross multiply
2/3 x = 7 1/3
2/3 x = 22/3
cross multiply
2x * 3 = 3 * 22
6x = 66
x = 66/6
x = 11
Hence Jim can bake at most 11 batches of muffins
Solve -11h − 27 ≤ 16h for h.
The Answer:
[tex]h \geqslant - \frac{27}{17} [/tex]
Answer:
h ≥ -1
Step-by-step explanation:
i took a quiz and got it right
hope this helps :)
Just look at the picture asap plz
Answer:
A
Step-by-step explanation:
(SIMPLY) y=-3/4x-3
In the U.S. presidential election of 1864, Abraham Lincoln received 2,218,388 of the 4,031,887 votes. About
what fraction of the votes did Lincoln receive?
A gym charges $8.75 for each swimming class and a one-time registration fee of $12.50. A student paid a total of $56.25. How many swim classes did the student take?
Answer:
He took 5 swimming classes.
Step-by-step explanation:
The problem states that the student paid a total of $56.25 for the classes and also the one-time registration fee. To find the number of classes, we should first subtract the one-time registration fee from the total.
$56.25 - $12.50 = $43.75
Now that we know he spent a total of $43.75 on the classes without the registration fee, we can divide that number by the cost of one class ($8.75) to calculate the total number of classes he took.
43.75 / 8.75 = 5
Need an answer within an hour i will give brainlist dont write just anything please. thank you
Answer:
its not a straight line so what is the question ???????? maybe f(-3) = -3f
Step-by-step explanation:
please help due in 5 mins
What is the probability of landing on an even number? (Write your final answer as a percentage.)
P(event)
Answer: 1/2 which equals 50%
Step-by-step explanation:
Answer:
0.5 because there are 4 numbers and 2 of them are even so it would be 1/2
Type the correct answer in the box. Use numerals instead of words.
Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.
Answer:
22% because her taxable income will now be 40,000 dollars
Step-by-step explanation:
Answer:
15% Plato
Step-by-step explanation:
5x + (x , 3) = 38.4 =?
Question in picture solve
Solve for X.Just type the number only, the answer is a positive whole number
Answer:
7
Step-by-step explanation:
If line l is parallel to line m, therefore:
[tex] 16x + 22 = 134 [/tex] (alternate exterior angles are congruent)
Subtract 22 from each side
[tex] 16x + 22 - 22 = 134 - 22 [/tex]
[tex] 16x = 112 [/tex]
Divide both sides by 16
[tex] \frac{16x}{16} = \frac{112}{16} [/tex]
[tex] x = 7 [/tex]
What is rhe vertex of this parabola ?????? HELP
Answer:
The vertex is (3,1)
Step-by-step explanation:
Brainliest please
Help PLEASE HELP IT FOR MY LOTTLE SIS AND I stink at math soHELP!!
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
All the fractions can simplify to 2/3
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
Step-by-step explanation:
re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.
What is the slope of the line that passes through the points (5,-4) and (7,-4)? write your answer in simplest form
Answer:
0
Step-by-step explanation:
Because there are two negatives of the same number, we can instantly know that this would be 0.
Answer: 0
on this one it can’t be undefined so put 0 and you will get it correct
Round 2,767,545 to the nearest ten
Answer:
2767550
Step-by-step explanation:
There's no difference whatsoever. And so if we round to 2767545 to the nearest ten, it becomes 2767550.
A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?
Answer:
2450 J
Step-by-step explanation:
mass(m)=25kg
height(h)=10m
gravity(g)=9.8
now,
PE=mgh
=25×10×9.8
=2450J
ANS
What is the slope a line perpendicular to the line 2x+4y=8? *
Answer:
slope of line perpendicular to given equation(m)=2
Step-by-step explanation: