(nevermind srry, that was wrong)
Answer: represents the growth factor which reveals the monthly interest rate.
Step-by-step explanation:
Anthony's account balance can be modeled by the general compound interest formula shown below, where P is the initial amount, r is the annual interest rate, n is the number of times that the interest in the account is compounded per year, and t is the time period.
Consider the given expression.
1250(1+0.06/12)^12t
In the given expression, "1" represents 100% of the money in the account at the start of the month and "" represents the percentage of the account balance that gets added into the account at the end of each month. This is the monthly interest rate and the entire expression,(1+0.06/12t) , is the factor of growth.
Therefore, (1+0.06/12t)represents the growth factor which reveals the monthly interest rate.
Which pair of functions are inverses of each other?
Wanting to make sure of answers in this pretest
Answer:
The only pair of functions that are inverses of each other are the ones for option D.
Step-by-step explanation:
Two functions, f(x) and g(x), are inverses if and only if:
f( g(x) ) = x
g( f(x) ) = x
So we need to check that with all the given options.
A)
[tex]f(x) = \frac{x}{7} + 10 \\g(x) = 7*x - 10\\[/tex]
then:
[tex]f(g(x)) = \frac{7*x + 10}{7} -10 = x + \frac{10}{7} - 10[/tex]
This is clearly different than x, so f(x) and g(x) are not inverses.
B)
[tex]f(x) = \sqrt[3]{11*x} \\g(x) = (\frac{x}{11} )^3[/tex]
Then:
[tex]f(g(x)) = \sqrt[3]{11*(\frac{x}{11})^3 } = \sqrt[3]{\frac{x^3}{11^2} } = \frac{x}{11^{2/3}}[/tex]
This is different than x, so f(x) and g(x) are not inverses.
C)
[tex]f(x) = \frac{7}{x} -2 \\g(x) = \frac{x + 2}{7}[/tex]
Then:
[tex]f(g(x)) = \frac{7}{\frac{x + 2}{7} } - 2 = \frac{7*7}{x + 2} - 2[/tex]
Obviously, this is different than x, so f(x) and g(x) are not inverses.
D)
[tex]f(x) = 9*x - 6\\g(x) = \frac{x + 6}{9}[/tex]
Then:
[tex]f(g(x)) = 9*\frac{x + 6}{9} - 6 = x + 6 - 6 = x\\g(f(x)) = \frac{(9*x - 6) + 6}{9} = x[/tex]
In this case we can conclude that f(x) and g(x) are inverses of each other.
A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.
Answer:
Step-by-step explanation:
WILL MARK BRAINLIEST!!!
Solve for the listed Angles of the circle. Question in the picture
round to the nearest hundredth . 7.428
Answer:
7.43
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
7.43
Step-by-step explanation:
So lets go over a few things:
In decimal form, you start of in the tenths.
So in this case that is 4.
After tenths, is hundreths, thousandths, ten thousandths, etc.
Since hundreths comes after the tenths, that will be 2.
Any number 5 or greater will be rounded up, and any number below 5 is rounde down.
Now, to find if we raise or lower the hundreths(which is 2), we must see if the thousandth splace is above or lower than 5.
We can see that our thousandths is 8.
Since 8 is higher than 5, the 2 in our hundreths place will go up to 3.
So we get:
7.43
Hope this helps!
Find the common difference of the arithmetic sequence -16 -13 -10
Answer:
3
Step-by-step explanation:
-16+3= -13
-13+3= -10
the next number would be -7
I GIVE BRAINLIEST!!!
Margie needs to borrow $9,000 from a local bank. The loan has a 8.5% interest rate for 4 years. What will Margie's monthly payment be?
Answer: I'm sorry I don't know but il try and calculate the answer for you
Step-by-step explanation:
42-(32+4)+7
Evaluate the following expression
Answer:
13
Step-by-step explanation:
42 - (32 + 4) + 7 =
42 - 36 + 7 =
13
Answer:
15.
Step-by-step explanation:
Since 32 + 4 are in parenthesis, you'd do that first. 32 plus 4 equals 36, which subtracted from 42 is equal to 8. 8 plus 7 is 15. Therefore, your answer is 15.
I hope this helped, have a nice day.
The blue dot is at what value on the number line?
I'm really desperate, please help me. I'll give the person who has the correct answer brainliest.
Answer:
-19
Step-by-step explanation:
It's going by three's
Which expression is equivalent to 4(2x + 5) ? Replace the x with a 2
Answer:
8x+20
36
Step-by-step explanation:
4(2x) + 4(5)
= 8x +20
Hence,
Substituting 2 into 8x+20:
8(2)+20
= 36
Feel free to mark it as brainliest :D
Please help me!!!
Find the measure of angle x in the figure below:
Answer:
Step-by-step explanation:
Which equation is a linear function?
Please answer within 5 minutes
Answer:
y= x/2-5
Step-by-step explanation:
Answer:
y=x²+7
Step-by-step explanation:
I'm pretty sure this is the answer
Once again, I'm asking for assistance in this problem. I thought it was 1/6 but I'm unsure. Someone help. The number next to 2/5 is 1/5.
Answer:
Equation of the parabola: or
Vertex form:
Intercept form:Step-by-step explanation:
Reflect the following points over the
x-axis. (-5, -3) (-2,-6) (-4,-8)
Reflect over x-axis rule: (x,y) -> (x,-y)
(-5,3) --> (-5,-3)
(-2,-6) --> (-2,6)
(-4,-8) --> (-4,8)
If h is positive, move h units
Answer:
what's your question mean I don't understand it
Step-by-step explanation:
Have a great day
What is the area of the base of the cone below? 12ft v=90ft^3
Answer: C 22.5 ft2!
Step-by-step explanation:
i took the test, have a great day:) <3
Answer:
right
Step-by-step explanation:
Convert 69 g/cm to kilograms per meter (kg/m).
Answer:
69g/cm is 6.9kg/m
Step-by-step explanation:
[tex]1 g --> \frac{1}{1000}kg\\\\69g --> \frac{69}{1000}kg\\\\1cm --> \frac{1}{100}m\\\\\frac{69 g}{1cm} = \frac{\frac{69}{1000} }{\frac {1}{100}} = \frac{69}{1000} \times \frac{100}{1} = \frac{69}{10} = 6.9kg/m[/tex]
Answer:
[tex]69 \: g {cm}^{ - 1} \\ 69 \times {10}^{ - 3} \times ({10}^{ - 2} ) ^{ - 1} kg \: {m}^{ - 1} \\ 69 \times {10}^{ - 1} \: kg {m}^{ - 1} \\ 6.9 \: kg {m}^{ - 1} [/tex]
I. B. Find the circumference of the following given data,
1. r= 15m
2. r = 25cm
3. d = 30m
4. d = 10m
5. r = 7cm
convert 4/5 into percent
A distance of 400 km is represented in the map by 3 cm. What is the distance between two towns if they are 7.5 cm apart in the map?
Answer:
The distance between the two towns is of 1000 km.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
We have that:
3 cm represents a distance of 400 km.
What is the distance represented by 7.5 cm?
3 cm - 400 km
7.5 cm - x km
Applying cross multiplication:
[tex]3x = 400*7.5[/tex]
[tex]x = \frac{400*7.5}{3}[/tex]
[tex]x = 1000[/tex]
The distance between the two towns is of 1000 km.
Helppp please and thank you !
Answer:
209 (Sorry if wrong)
Step-by-step explanation:
12x12=144
13x5=65
144+65=209
==================================================
How to get that answer:
We have a 12 by 12 square of area 12*12 = 144 square meters.
Then on top of this we have a triangle with base 12 and height 5, so its area is base*height/2 = 12*5/2 = 60/2 = 30 square meters
Overall, the two areas combine to 144+30 = 174 square meters
---------
Side notes:
The missing side of the triangle can be found through the pythagorean theorem. You could use the trapezoid area formula as an alternative path, instead of finding the area of each smaller piece.We can condense the unit "square meters" into "sq m" or "m^2".Jack wants to abopt all kittens that weigh more than 4 ounces how many kittens will he abopt
P(A and B)=P(A)•P(B) is used when two events are used when two events are
Answer:
Independent.
Step-by-step explanation:
Independent events:
Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Thus, P(A and B)=P(A)•P(B) is used when two events are independent.
Stuart throws a biased coin 10 times.
He gets 7 Tails.
Maxine throws the same coin 50 times.
She gets 30 Tails.
Prasha is going to throw the coin once.
(i) Whose results will give the better estimate for the probability that she will get Tails,
Stuart's or Maxine's?
You must give a reason for your answer.
Answer:
Below.
Step-by-step explanation:
1. Prasha's result is better as she tossed the coin the most times.
The result which gives a better estimate of obtaining tail is that which provides a greater probability, hence, Stuart's result is better.
Recall :
Probability = required outcome / Total possible outcomesStuart's throw:
Number of tails = 7Number of throws = 10P(Tail) = 7/10 = 0.7Maxine's throw :
Number of throws = 50Number of tails = 30P(Tail) = 30 / 50 = 0.6The result with higher probability gives the better estimate of obtaining tail.
Therefore, Stuart's result will be a better estimate.
Learn more : https://brainly.com/question/18153040
How many small cubes, with a side length of 1/2 cm, will fill the larger rectangular prism below?
Answer:
15 cubes
Step-by-step explanation:
The volume of a rectangular prism is given as :
V = Lenght * width * height
V = 3/2 * 5/2 * 1/2
V = 15 / 8 cm³
Volume of a cube = a³
Where, a = side length of cube
a = 1/2 cm
V = a³ = (1/2)³ = (1/2 * 1/2 * 1/2) = 1/8
Volume of pyramid / volume of cube
15 / 8 ÷ 1 / 8
15 / 8 * 8 / 1
= 15
A bag with 8 marbles is shown below. (2 marbles are yellow, 3 are red, and 3 are blue.) A marble is chosen from the bag at random. What is the
probability that it is yellow or red?
Write your answer as a fraction or a whole number.
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Hi there!
We're given that there are 8 marbles in total. 2 marbles are yellow and 3 are red, making the number of red AND yellow marbles 5 (2+3=5)
Because 5 out of the 8 marbles are yellow or red, the probability of choosing one of them is [tex]\frac{5}{8}[/tex].
I hope this helps!
Answer:
P(Red or Yellow) = 5/8
Step-by-step explanation:
2 (yellow) + 3 (red) = 5
Hence, the probability is 5/8
Feel free to mark it as brainliest :D
Look at the cylinder.
What is the total surface area?
Please help me with simplifying this equation? (-5)^5/ (-5)^-6
Thanks
Solve for the value of x. Round to the nearest tenth.
Need help fast please
Answer:
28
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 45^2 = 53^2
a^2 +2025=2809
a^2 = 2809-2025
a^2 =784
Take the square root of each side
sqrt(a^2) = sqrt(784)
a =28
A carpet measures 7 meters 3 decimeters in length and 4 meters
decimeters in width. What is its area in square meters?
Answer:
29.2 metres squared
Step-by-step explanation:
because 3 decimetre equal 1 metre, 7 metres and 3 decimetre equal 7.3 metres.
now we just use the area formula to solve.
Area = Length × Width = 7.3 × 4 = 29.2 metres squared