$10,000 is invested at annual compound interest. After 4 years, the investment has become $11,608.86. What annual rate of compound interest was used?
Answer: 3.8%
The annual rate of the compound interest is given as 3.8%.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Amount = principal[1 + r/n]ⁿᵃ
Principal = P rate= r Time =a , n = compounding frequency
Here,
Amount = principal[1 + r/n]ⁿᵃ
11608.86 = 10000[1 + r/1]⁴
1.160886 = [1 + r]⁴
1 + r = 1.038
r = 1.038 - 1
r = 0.038
r% = 0.038 ×100%
r% = 3.8%
Thus, the annual rate of the compound interest is given as 3.8%.
Learn more about compound interest here:
https://brainly.com/question/14295570
#SPJ2
The island has 600 bikes and 900 people. What is the bike to person ratio?
What is the solution for x 10x-3x+8=-3+7x+11
Answer:
there is not a solution to this equation
Step-by-step explanation:
10x - 3x + 8 = -3 + 7x + 11
simplify
7x + 8 = 8 + 7x
there is not a solution to this equation
Answer:
x=2
Step-by-step explanation:
add the x's on one side and then subtract it by 7x. (10x- 7x)
then -3 + 11=8
8-8=0
transfer 2 to the other side x=2
If f(x) = 4x - 5 and g(x) = x +6, find g(f(-4)
Answer:
-15
Step-by-step explanation:
g(f(-4))=g(4(-4)-5)=g(-21)
g(-21)=-21+6=-15
Tarah collected 254 cans of food for the food drive. Ana collected 421 cans of food for the food drive. The
1
girls decided to combine their cans of food and donate to the local food bank. They donated 60% of the
remaining cans of food to the homeless shelter. How many cans of food do they have left over to
donate?
Answer:
270 is the awnser
Write a real-world situation that can be modeled by the equation 1/3x+10=3/5x
Answer:
One-third of Leah's weekly paycheck plus $10 = three-fifths of her check.
What is her weekly pay? or 1/3 of a handyman’s fee plus an extra fee of 10 dollars for showing up, which is equal to 3/5 o his fee altogether. What is his fee in all with the extra fee
The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x 5y 15. What is the equation of the parallel northbound track that runs through the point (4, -2)?
Answer:
2x+5y=-15
Step-by-step explanation:
2x+5y=d
2(4)+5(-2)=d
8-10=d
-2=d
Which graph shows the function f(x) = x with an input of f(x – 3)? A coordinate plane with a line graphed passing through (negative 4, negative 1), (negative 3, 0), and (0, 3). A coordinate plane with a line graphed passing through (negative 1, negative 4), (0, negative 3), and (3, 0). A coordinate plane with a line graphed passing through (negative 1, negative 3), (0, 0), and (1, 3). A coordinate plane with a line graphed passing through (negative 3, negative 1), (0, 0), and (3, 1).
The given function, f(x) = x, and the function with an input of f(x - 3), which is a transformation of the function f(x), moving it three places to the right, gives the points on the graph of the function as the option;
(negative 1, negative 4), (0, negative 3), (3, 0)
What is the transformation of a function?The transformation of a function involves moving the curve or line that represents the function either left, right, down, or up, reflect the graph or compress or expand the curve of the graph of the function.
The given graph is for the function is f(x) = x, the required graph is the graph of the function, f(x - 3), which is evaluated as follows;
Given f(x) = x, we have, f(x - 3) = x - 3
The table of values for both functions is presented as follows:
x; -4, -3, -2, -1, 0, [tex]{}[/tex]1, 2, 3, 4, 5
f(x) [tex]{}[/tex] -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
f(x - 3)[tex]{}[/tex] -7, -6, -5, -4, -3, -2, -1, 0, 1, 2
From the above table of values, the points on the function, f(x - 3) are; (-1, -4), (0, -3), (3, 0)
The option which gives the points on the graph that shows the function f(x) with an output of f(x - 3) is therefore;
(negative 1, negative 4), (0, negative 3), and (3, 0)Learn more about the transformation of functions here:
https://brainly.com/question/11943912
#SPJ1
Answer: b
Step-by-step explanation:
got it right on edge
3 3/4 divided by 3/20
Answer:
25
Step-by-step explanation:
f(x)=4x^5-8x^4-5x^3+10x^2+x-2
Use the rational zero test to find all possible rational zeros of f, separate with commas if needed. I already tried (2x+1)(2x-1)(x+1)(x-1)(x-2) and WebAssign says it’s incorrect.
Answer:
-1; -1/2; 1/2; 1; 2 or factors of -2 are -1, 2, 1, -2
factors of 4 are 1, 4, 2, -1, -4, -2
possible zeros are -1, 1, 1/2, -1/2
try 1
Step-by-step explanation:
For which value of x is the function 2x^2 + 3x + 1/x - 1 g(x) undefined?
Answer:
See below
Step-by-step explanation:
We have
[tex]g(x)=2x^2 + 3x + \dfrac{2}{x} - 1[/tex]
The function is true [tex]\forall x \in\mathbb{R}[/tex] except 0, because division by zero is undefined.
Therefore, the domain of the function can be written as
[tex]Dom(g) = \mathbb{R}-\{0\} \text{ or } (-\infty, 0)\cup (0, \infty)[/tex]
Write the slope-intercept form of the equation of each line.
11x + 8y = -45
Answer:
y= -11x/8 - 45/8
Step-by-step explanation:
Write this equation in slope intercept form:
y= mx + b
11x + 8y = -45
8y= -11-45
y= -11x/8 - 45/8
Hope this helps :)
The sum of three consecutive numbers is 519. What are the three numbers?
Answer:
El primer número llamaremos = x
El segundo número llamaremos = x + 1
El tercer número llamaremos = x + 2
Calculamos
x + (x + 1) + (x + 2) = 519
x + x + 1 + x + 2 = 519
x + x + x + 1 + 2 = 519
3x + 3 = 519
3x = 519 - 3
3x = 516
x = 516/3
x = 172
El valor de "x" lo reemplazamos en: (x + 1 y x + 2)
x + 1 = 172 + 1 = 173
x + 2 = 172 + 2 = 174
Respuesta.
Los números son: 172, 173 y 174
172 + 173 + 174 = 519
*I WILL MARK BRAINLIEST* PLS HELP ASAP
What?
joshuasalazar697 avatar
A because u should have gotten a 3x after adding them together since u do what is inside the () before anything
fionaferlich1 avatar
3+x does not equal 3x
joshuasalazar697 avatar
y not
fionaferlich1 avatar
because 3x equals x times x times x not 3+x
joshuasalazar697 avatar
but why is it d
joshuasalazar697 avatar
they did it right u have to divide it from the right to the left
fionaferlich1 avatar
a rule of inequalities is when you divide by a negative the sign switches. so because u had to divide the entire thing by -6 it should be x is greater than -1
joshuasalazar697 avatar
no u have to divide it by positive 6 cause u are taking it the 6 from the right and moving it under the 6 from the left wich u would divide
fionaferlich1 avatar
u always divide by the coefficient of x and that's -6
joshuasalazar697 avatar
no cause since u moved all the letters to the right and all the lone numbers to the left u have to take that last one and divide it from the one with the x
fionaferlich1 avatar
the one with the x is the coefficient of x which is -6
joshuasalazar697 avatar
yeah i know that ut u don't divide the 6 from the -6x like u gonna divide -6x by 6
joshuasalazar697 avatar
also if i am wrong what happened to the 3 and why did it turn to an 18
fionaferlich1 avatar
so say that's what you're supposed to do (which it is ) but then u would get -x>1 and x must be positive
joshuasalazar697 avatar
i should have paid attention in algebra no wonder I don't get geometry but geometry is way easier
joshuasalazar697 avatar
i see what u are getting to now
joshuasalazar697 avatar
still don't see how 3 turned into 18
joshuasalazar697 avatar
i just say this hole thing is written wrong from the start and made it all wrong
there is ur explanation
Answer:
d
Step-by-step explanation:
since when u divide by a negative it switches signs
Answer the question in the photo
You decide to start a dog walking business and are trying to plan how much you to charge. You determine that you can only walk 5 dogs at the most at any given time. You also decide to charge in 30 minute intervals and, due to your schedule, you can only walk for 3 hours a day. Based on those conditions, what is the most amount of dogs that you can walk in a given day?
Answer:
The most amount of dogs that you can walk in a given day is 30 dogs.
Step-by-step explanation:
You decide to charge in 30 minute intervals, and due to your schedule you can only walk 3 hours a day. Then you must know how many intervals of walks you can do in those 3 hours a day that you can walk. Being 1 hour equal to 60 minutes, then 30 minutes equals 2 intervals in 1 hour. Then you can apply the following rule of three: if in 1 hour there are 2 intervals of 30 minutes, in 3 hours how many intervals of 30 minutes are there?
[tex]amounts of intervals=\frac{3hours*2 intervals}{1 hour}[/tex]
amount of intervals= 6 intervals
You determine that you can only walk a maximum of 5 dogs at a given time, that is, in each interval you can walk a maximum of 5 dogs. Then you can apply the following rule of three: if in 1 interval you walk a maximum of 5 dogs, in 6 intervals how many dogs do you walk a maximum?
[tex]amounts of dogs=\frac{5 dogs*6 intervals}{1 interval}[/tex]
amount of dogs= 30 dogs
The most amount of dogs that you can walk in a given day is 30 dogs.
Does the following make a right triangle?
A ceramic tile with sides 20 cm, 21 cm, and 29 cm
A. yes
B. no
Answer:
yes
Step-by-step explanation:
In order for it to be a right triangle, it has to be [tex]a^2+b^2=c^2[/tex].
[tex]20^2+21^2[/tex] should equal [tex]29^2[/tex]
400+441 should equal 841
So yes, the lengths make a right triange.
Harper is a sales person who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of sells and she earns a commission of 1% of the dollar amount of all sells that she makes. Write an equation for P, in terms of x, representing harpers total pay on a day on which she sells x dollars worth of computers.
Answer:
P=0.01x+100
Step-by-step explanation:
what is the image (-2,-5) after a dilation by a scale factor of 2 centered at the origin
Answer:
Step-by-step explanation: (-4,-10)
Simplify: (4 – 5) – (13 – 18 + 2).
(a) -1,
(b) –2,
(c) 1,
(d) 2.
Answer:
1 is corr
Step-by-step explanation:
I might be wrong sorry if I am
Answer:
C. 1
Step-by-step explanation:
What is equivalent to 5x+2y=12
Answer:
A
Step-by-step explanation:
Bastian was able to map triangle ABC onto triangle A'B'C' using a reflection, rotation, and a dilation. Then Bastian concluded that he was able to map triangle ABC onto triangle A'B'C' using a sequence of rigid transformations and dilations, so the triangles are similar. What error did Bastian make in his conclusion?
Bastian used a rotation, so the triangles aren't similar.
Bastian used a combination of similarity transformations, which can produce a non-similar result.
There is no error. This is a correct conclusion.
Bastian used a dilation, which does not preserve similarity.
UGENT PLZ HELP FAST
attached is my problem
Answer:
f(x) = 3x - 3
Step-by-step explanation:
First, the slope of the line has to be the same for it to be parallel, so the slope(coefficient of x) of the equation is 3.
Next, to make it pass through that specific point, we need to add/subtract a number to make the equation cross that point.
f(x) = 3x at x = 2 evaluates as 6, but the equation needs to pass through the point (2, 3), so we subtract 3 from the equation, leaving us with f(x) = 3x-3.
SHOW ALL WORK!!!
1.
Find the distance between (-4,-2) & (4,4)
Answer:
Step-by-step explanation:
can someone help the lesson is about ordering.
Answer: [tex]3 \le x \le 5[/tex]
x is any real number between 3 and 5, including both endpoints
================================================
Explanation:
If A < B, then 1/A > 1/B. Applying the reciprocal flips the inequality sign.
For example, if 2 < 3, then 1/2 > 1/3. It might help to look at the decimal representations
1/2 = 0.500
1/3 = 0.333
We see that 1/2 is larger.
-----------
The inequality [tex]x < y < z[/tex] is the same as [tex]x < y \ \text{ and } \ y < z[/tex].
We've broken the single inequality into two smaller parts.
The given inequality breaks down into [tex]\frac{1}{6} \le \frac{1}{x+1}[/tex] and [tex]\frac{1}{x+1} \le \frac{1}{4}[/tex]
------------
Let's solve the first inequality for x
[tex]\frac{1}{6} \le \frac{1}{x+1}\\\\6 \ge x+1\\\\6-1 \ge x\\\\5 \ge x\\\\x \le 5[/tex]
Repeat for the other inequality as well
[tex]\frac{1}{x+1} \le \frac{1}{4}\\\\x+1 \ge 4\\\\x \ge 4-1\\\\x \ge 3\\\\[/tex]
-------------------------
We found that [tex]x \ge 3 \ \text{ and } \ x \le 5[/tex]
This is the same as [tex]3 \le x \ \text{ and } \ x \le 5[/tex] which combines to [tex]3 \le x \le 5[/tex]
answer and I’ll leave a good review
Answer:
d
Step-by-step explanation:
g
Answer:
C
Step-by-step explanation:
They are all more in the modern era
Write an equation in slope intercept form with the given information.
Slope = 4 and goes through point (1,8)
(Please help me)
Answer:
y= 4x +4
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is 4, m= 4.
Substitute m= 4 into the equation:
y= 4x +c
To find the value of c, substitute a pair of coordinates.
When x= 1, y= 8,
8= 4(1) +c
8= 4 +c
c= 8 -4 (-4 on both sides)
c= 4 (simplify)
Thus, the equation is y= 4x +4.
what is the rate of change for y= -2/5x-9
Answer:
If two quantities x and y are related by y = f(x), the derivative f'(xo) represents the rate of change of y with respect to x at the point xo. It is measured in (units of y)/(units of x). A positive rate of change is sometimes called a rate of increase.
Step-by-step explanation:
Answer:
m= -2/5
Step-by-step explanation:
Brianne is making apple pies. She has 2 1/2 pounds of apples. Brianne estimates she can make 3 pies with no apples left over. How many pounds of apples will go into each pie?
0.833 pound of apples go into each pie.
Given Brianne has 2 and half pounds of apples.
she can make 3 pies with no apples left.
Now total quantity of apples she has is 2.5 pound.
Since she can make 3 apple pies with 2.5 pound of apples, so each pie has equal amount of apples.
Now each pie has [tex]\frac{2.5}{3} =0.833[/tex] pounds of apples.
Hence 0.833 pound of apples go into each pie.
For more details on Kilogram to pound conversion follow the link:
https://brainly.com/question/24447359
In a certain chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 760 grams of copper. How many grams of zinc does it contain?
Answer:
760-19
x-3
x=760*3=2280
2280/19=120g of zinc
Step-by-step explanation: