The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 1,264(1.09)x
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years:
r (number of years) 1 2 3 4
g(r) (amount in dollars) 1,375 1,512.50 1,663.75 1,830.13
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
Exponential functions can either represent growth or decay.
Part A:
The function is given as:
[tex]f(x) = 1264(1.09)^x[/tex]
The above function is an exponential function.
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Where b represents the rate.
When b > 1, then the function is increasing
By comparison:
[tex]b = 1.09[/tex]
1.09 is greater than 1
Hence, the amount of money in account A is increasing.
Part B:
Divide any two concurrent values on the table, to determine the rate of the table.
So, we have:
[tex]b = \frac{1512.50}{1375}[/tex]
[tex]b = 1.10[/tex]
By comparison:
1.10 is greater than 1.09 (the rate of account A).
Hence, account B records a greater percentage change in the amount of money
Read more about exponential functions at:
https://brainly.com/question/11464095
A. because b > 1, the function is increasing, so the amount of money in account A is increasing.
B. 1.10 is greater than 1.09, so account B has more percentage change in the amount of money
Find the value of a if y=a/7x + c is parallel to y = 2x - 4
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of a is :
[tex]14[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
Please refer to attachment for the solution ~
What is the vertex of the graph of f(x) = 4(x+5)²-1?
Answer:
The vertex is (-5,-1)
Step-by-step explanation:
f(x) = 4(x+5)²-1
This is written in vertex form
y = a(x-h)^2 +k where ( h,k) is the vertex
f(x) = 4(x- -5)²-1
H is -5 and k = -1
The vertex is (-5,-1)
An ice climber stands at the edge of a crevasse that is 115 Ft wide. The angle of the depression from the edge where she stands to the bottom of the opposite side is 52 degrees. How deep is the crevasse at this point? Round off to the nearest foot.
depression from the edge where she stands to the bottom of the opposite side is 52 degrees. How deep is the crevasse at this point? Round off to the nearest foot
Given the proportion a/b=5/19, what ratio completes the equivalent proportion a/5=?
Answer:
[tex]\frac{b}{19}[/tex]
Step-by-step explanation:
If you cross-multiply in the first proportion you get 19a = 5b
To keep this, if we have a/5, we need b/19 to cross-multiply and still get 19a = 5b
The sum of a number and seven more than the number is 43. What is the number?
Answer:
18 is the number good luck
Step-by-step explanation:
18+25=43
Answer:
18,25
Step-by-step explanation:
PERIOD
DATE
NAME
Practice
Solving Equations with the Variable on Each Side
Justify each step.
1. 4k - 3 = 2k + 5
4k-3-2k = 2k +5 - 2k
2k-3 = 5
2k - 3 + 3 = 5 + 3
2k = 8
2k 8
N100
2
k=4
Answer:
K = 4
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can i pls have brainlist (crown)☺️)
Answer:
The answer is 4 or N100. Have an good day.
Multiply. Write the answer in the simplest form.
4/7 x 4 3/8 x 5/6
Answer:
2 1/12
The answer should be 2 1/12
(Two and one over twelve)
or
(Two and a one twelfth)
Answer:
2.1
Step-by-step explanation:
...........................
Theo worked 3 2/3 hours and earned $28.60
How much would he make if he worked 6 1/3 hours?
Answer:
He would make $49.40
Step-by-step explanation:
28.60 divided by 3 2/3 is 7.80
Multiply that by 6 1/3 to get 49.40
The circular top of a clay pot has a diameter of 14 centimeters . What is the circumference of the pot's circular top ? Use 3.14 for π
Answer:
Circumference formula is πr². while we do not have the radius, you do have the diameter, the diameter is the full length of the circle while the radius is half of the circle. So you take 14/2=7 so the new equation is π7² so you would do 7x7 to get 49, then you would do 49 x 3.14 and you'll have 153.86 Centimeters². You'll need to double check this but I hope this helped.
which one is the steepest
A. 1/2
B. 0
C. 3/4
D. 5
Answer:
3/4
Step-by-step explanation:
Remember: rise/run, where rise is the vertical line and run is the horizontal. To calculate for 5, the rise must be 5x the run (e.g. 25/5). 0 is a horizontal line, since it has no y-axis. Then draw all your lines on a graph. The steepest slope will be 3/4.
Explanation:
Assuming those given answer choices represent slope values, the steepest slope is the number furthest from 0 on the number line. In other words, it will have the largest absolute value.
In this case, the steepest slope is 5 since this value is furthest from 0 of the other answer choices.
A student graphed f(x) = x and g(x) = -5f(x) + 2 on the same coordinate grid. Which statement describes how the graphs of f(x) and g(x) are related?
The graph of f(x) is translated 5 units up to create the graph of g(x).
The graph of g(x) is translated 2 units down and is less steep than the graph of f(x).
The graph of f(x) is translated 5 units down to create the graph of g(x).
The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
Answer:
ME TOO
Step-by-step explanation:
Function transformation involves changing the position of a function.
The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
The functions are given as:
[tex]\mathbf{f(x) = x}[/tex]
[tex]\mathbf{g(x) = -5f(x) + 2}[/tex]
Substitute x for f(x) in g(x)
[tex]\mathbf{g(x) = -5x + 2}[/tex]
The +2 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) is gotten by translating f(x) up by 2 units.
The -5 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) has a steeper slope.
Hence, the correct option is (d)
Read more about function transformations at:
https://brainly.com/question/18213787
find dy/dx using implicit differentiation
cos x + sin y = 1
Differentiate both sides with respect to x, using the chain rule for the sine term:
[tex]\cos(x) + \sin(y) = 1[/tex]
[tex]\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for dy/dx :
[tex]-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}[/tex]
HELPPP!! NEED QUICK! WILL GIVE BRAINLEST!
3. National Credit Union pays 5.5% interest compounded quarterly
on special notice savings accounts. Marco Garcia deposits
$5,698.80 in a special notice savings account for 2 years.
a. What is the amount in the account after 2 years?
b. At the end of the 2 years, Marco deposits $5,000.00 in
the account. How much is in the account at the end of 2 more
years?
c. What is the total interest earned in the 4 years?
Answer:
5,698,80
Step-by-step explanation:
this is easy if you paid attention in class
Answer:
5,698,80
Step-by-step explanation:
Using easy Math Skillz
The probability that a red block is selected from a bucket is
3/8, and the probability that a blue block is selected is 2/8.
What is the probability that a red block or a blue block is
selected?
a) 1
b) 1/2
c) 5/8
d) 6/8
Answer:
5/8
Step-by-step explanation:
Since we don't know what the other color (s) are, all we need to do to determine the probability is add the two fractions, and that is your probability.
Answer:
5/8
Step-by-step explanation:
The probability of a red block shows 3/8. This means there are 8 blocks total and only 3 of them are red.
The probability of a blue block shows 2/8. Again there are 8 total blocks and only 2 are blue.
So the total number of blocks remains the same....8
The total of red and blue blocks is 3 + 2 = 5
So the probability would be 5/8
If the second quantity in a rate is not 1, how do you find the unit rate?
Answer:
If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
A cyclist rides her bike at a rate of 30 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
48240Step-by-step explanation:
Part one
1 mile per hour = 1.60 kilometers per hour
30 miles per hour = ?
Step 1: Set up a fraction.
The units must be on the same level. And the rate in KM (kilometer) per hour will be a variable, "[tex]k[/tex]". It does not matter whether they are top or bottom.
[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]
As you can see, 1 mile per hour and 30 miles per hour are at the same level, leaving the rest on the same level, as well.
Step 2: Solve
[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]
Cross multiply1.60 × 30 = 48
1 × k = 1
Therefore, the rate is 48 kilometers per hour.
Part 2
This part is mainly the same as the first part. Fractions. However, since we've already found out the answer for part one, it will be simple.
Step 1: Multiply the result to 5.
48 × 5 = 240
Therefore, the cyclist will travel 240 kilometers in 5 hours.
Step-by-step explanation:
First, to make everything more clear, rewrite it like this-
1 mile = 1.6km
So we have to multiply 30 (miles) by 1.6 (km)
30 x 1.6 + 48
So it is 48km per hour, now we have to calculate how many km does she ride in 5 hours.
We have to multiply 48 by 5 which equals 240
So the answer is 240km
Need help ASAP ?!!!50 points
Answer:
5.76
Step-by-step explanation:
f(x) = f(6.69)
plug in 6.69 for x
(6.69 - 9.09)^2
(-2.4)^2
-2.4 x - 2.4 = 5.76
Answer:
I think it's -5.76
Step-by-step explanation:
♥ hope its right ♥
13 degree difference?
15 degree difference?
16 degree difference?
17 degree difference?
Answer:
gggggggggggggggvggfggffvvvcvcccccfffcffffffffff
[tex]201[/tex]
100 points will mark BRAINLYEST
Answer:
Prompt - Select an image of an art work from smarthistory by looking at the "Histories of Art" tab.
Objective - This is an exercise to get comfortable with applying the language of art as well as the steps of the Art Analysis ChartActions (summarized below).
You must include in this exercise four short, clearly separated paragraphs (2-3 sentences) consisting of the concerns printed in bold:
1. description of the chosen image (include the image information: title, artist's name, year, medium, etc.) and say what you see.
2. analysis of what you see by saying what each element is achieving (e.g. "converging lines are used to draw our attention to the focal point.")
3. interpretation of the image by saying what the work is about and what it means.
4. evaluation of the image by talking about where you think the "value" lies in your chosen image, and explain why. The term value here is not in the context of light or dark as in formal attributes. It refers to what is significant in the work of art you are analyzing, and how successful or unsuccessful it has been executed. Evaluation here is an exercise in reasoning/arguing based on your previous three paragraphs.
What is the percent of increase from 25 to 47
Answer:
From 25 to 47 is an increase of 88%.
Step-by-step explanation:
From 25 to 47 is an increase (jump) of 22. Write the ratio 22/25 and then multiply the result by 100%:
(22/25)*100% = 0.88(100%) = 88%
From 25 to 47 is an increase of 88%.
Solve for X then find the measure of angle B
Answer:
Below in bold.
Step-by-step explanation:
The 2 angles are equal so
8x - 8 = 5x + 25
3x = 33
x = 11.
m < B = 8(11) - 8 = 80 degrees.
Hilary put 5 items on his birthday wish list. He received 3 of the items for his birthday. What percent of the
items did Hilary receive ?
Answer:
60%
Step-by-step explanation:
100 ÷ 5 = 20
20 × 3 = 60
60 = 60%
I hope this helps
Expand the brackets in this expressions
(2y)²
Answer:
4y²
Step-by-step explanation:
(2y)² = 2²*y² = 2*2*y² = 4y²
Luke made an elaborate code to remember the 10-digit combination to his bicycle lock. This is the code he came up with: F-G-E-D-A-K-B-J-C-H Each letter stands for a different digit (0-9). Study the clues below to figure out what digit is represented by each letter. When two letters are written together without an operation symbol, they represent a tens digit and a ones digit. F+F+F=D B÷ H = K J + A = CC
H+H = B. F×H= CK. D×F = KG G+B+E=D+A+C. A×H = KE J÷F=K F/J = H/B
What is the 10-digit combination to Luke's bicycle lock?
this is all the information I have.
please show work by either showing a picture of explaining it in text. Thank you
9514 1404 393
Answer:
lock code: 3709528614
Step-by-step explanation:
Given:
3F = DH×K = BJ+A = CCH×2 = BH×F = CKD×F = KGG +B +E =D +A+CH×A = KEK×F = JFind:
single digit corresponding to each letter
Solution:
CC must be 11, because the sum of any pair of single digits cannot exceed 18. (C = 1).
K must be 2, because H×K = B = H×2. (K = 2)
The only single-digit products involving 3 are 3×1 = 3, 3×2 = 6, and 3×3 = 9. We know F is not 1 or 2, so for 3F = D we must have F = 3, D = 9. (F = 3)(D = 9)
CK = 12, so H×F = 3H = 12. This means H = 4. (H = 4)
2H = B, so B = 8. (B = 8)
D×F = KG. Using the values for D, F, K, we find 9×3 = 27. (G = 7)
K×F = J = 2×3. (J = 6)
At this point, the only unassigned digits are 0 and 5.
H×A = KE. Filling in known values, this is 4A = 20 +E. (A = 5)(E = 0)
The sum E+15 = A+10 can also be used to assign values to A and E.
__
Then the letters corresponding to the digits 0-9 are ...
[tex]\texttt{01234 56789}\\\texttt{ECKFH AJGBD}[/tex]
The bicycle lock code is 3709528614.
What is the slope of this line?
Which equation represents the
sentence, "one minus p to the
fourth power equals zero"?
OA) 1-4p=0)
OB) 4p-1=0
OC) 1-p4=0)
OD p4-1=0
Answer:
to make button connected. I am
Answer:
C
Step-by-step explanation:
This equation exactly represents the question. It has the 1- p to the 4th which will =0.
in a sale, a clothes shop reduces its price by 45%.a shirt usually costs $27how much is it on sale?
I am confused if someone could explain this it would be greatly appreciated
Please help lol for brainly