y=0.75(1.05)t Determine whether the function represents a exponential growth or decay.Identify the percent rate of change
The function ff(x) = 0.75(1.05)ˣ is an example of an exponential growth function.
The percent rate of change is 5%
What type of function is the equation
From the question, we have the following parameters that can be used in our computation:
f(x) = 0.75(1.05)ˣ
The function ff(x) = 0.75(1.05)ˣ is an example of an exponential growth function.
In exponential growth functions, the base (in this case, 1.05) is greater than 1, and as x increases, the function increases
Also, we have the percent rate of change to be
Rate = 1.05 - 1
Rate = 0.05
So, we have
Rate = 5%
Hence, the percent rate of change is 5%
What are two pair fractions with common denominators for 3/5 and 3/4
what is the maximum volume of water a hamster bath can hold with a depth of 1 2/3, a length of 2 1/3 inches, and a width of 2 inches?
Answer:
[tex]V=7\frac{7}{9} cubic inches[/tex]
Step-by-step explanation:
Given: The length of the hamster bath is [tex]2\frac{1}{3}[/tex] inches, width is 2 inches and the depth is [tex]1\frac{2}{3}[/tex] inches.
To find: The maximum volume of water a hamster bath can hold.
Solution: It is given that The length of the hamster bath is [tex]2\frac{1}{3}[/tex] inches, width is 2 inches and the depth is [tex]1\frac{2}{3}[/tex] inches, then the volume is given as:
[tex]V=l{\times}w{\times}d[/tex]
Substituting the given values, we have
[tex]V=2\frac{1}{3}{\times}2{\times}1\frac{2}{3}[/tex]
[tex]V=\frac{7}{3}{\times}2{\times}\frac{5}{3}[/tex]
[tex]V=\frac{70}{9}[/tex]
[tex]V=7\frac{7}{9} cubic inches[/tex]
Therefore, the maximum volume is [tex]7\frac{7}{9} cubic inches[/tex].
What can be determined about this data set before finding the range or the interquartile range? 19, 25, 35, 38, 41, 49, 50, 52, 99
The data has an outlier, but the interquartile range will not change. The answer is c
What’s the answer to the question?
Brigitte fostered 14 dogs this year which is 5 less than last year how many dogs did brigitte foster last year
Answer:
9 DOGS
Step-by-step explanation:
5 LESS= 14-5
=9
Suppose that Bangladesh, India, Pakistan, and Nepal are economically interdependent. The following table shows the exports and imports of each country, with all monetary values given in millions of equivalent US dollars. Country of Origin Exporting to... Amount ($ 2007-13-04-00-00_files/i0260000.jpg 1,000,000) Bangladesh India 2,817 Bangladesh Pakistan 2,369 Bangladesh Nepal 3,039 India Bangladesh 2,023 India Pakistan 3,462 India Nepal 2,184 Pakistan Bangladesh 3,201 Pakistan India 2,336 Pakistan Nepal 2,338 Nepal Bangladesh 2,707 Nepal India 3,363 Nepal Pakistan 2,332 Based on the information in the table, assuming that these four countries trade strictly within the group, what is the value of the greatest trade balance in this group? a. $841 million b. $847 million c. $8,402 million d. $8,516 million
1. Total trade between Bangladesh and other three nations which are India , Pakistan, Nepal= 2,817 + 2,369 + 3,039=$ 8,225
2. Total trade between India and other three nations which are Bangladesh , Pakistan, Nepal= 2,023 +3,462 + 2,184=$7669
3. Total trade between Pakistan and other three nations which are Bangladesh,India, Nepal=3,201 + 2,336 +2,338= $7875
4. Total trade between Nepal and other three nations which are Bangladesh,India, Pakistan=2,707 +3,363+2,332 = $ 8402
The greatest trade is between Nepal and other three nations which are Bangladesh,India, Pakistan=2,707 +3,363+2,332 = $ 8402→→Option (C)
Tom and Arnold both leave the internet cafe at the same time, but in opposite directions. If Tom travels 9mph and Arnold travels 16mph, how long until they are 200 miles apart?
Please answer this question and give give a detailed answer. Brainliest to who ever answers first and gets it correct
Kareem lives 4/10 of mile from the mall.Write two equivalent fraction that show what fraction of mile Kareem lives from the mall
Which of the following is an odd function?
g(x) = x2
g(x) = 5x – 1
g(x) = 3
g(x) = 4x
Answer:
g(x) = 4x is an odd function.
Step-by-step explanation:
A function g(x) is odd if it satisfies that, for all x we have g(-x) = -g(x). Then,
[tex]g(x) =x^2[/tex] is not an odd function beacuse only give positive values, then for example if x= 2
[tex]g(-2) =(-2)^2 = 4 \neq -4 = -g(2)[/tex].
g(x) = 5x-1 is not an odd function. I'll also give you a counterexample: for x=1 we have
g(-1) = 5(-1)-1 = -6 ≠ -4 = -(5-1) = -g(1).
g(x) = 3 is not an odd function. I'll also give you a counterexample: for x=1 we have
g(-1) = 3 ≠ -3 = -g(1).
Finally, g(x) = 4x is an odd function because for all x we have g(-x) = -g(x):
g(-x) = 4(-x) = -4x = -g(x).
help please!! just solve for y
Shelly got 60 questions correct on her math test.If she got 75% how many questions were on the test?
Hilda has $210 worth of $10 and $12 stock shares. The number of $10 shares is five more than twice the number of $12 shares. How many of each type of share does she have?
Answer:
15 | 10-dollar shares, 5 | 12- dollar shares
Step-by-step explanation:
Write the equation by adding the total values of each type of share.
10(2t+5)+12t=210
We can solve this equation for t to find the number of $12 shares.
10(2t+5)+12t=210
20t+50+12t=210
32t=160
t=5
So, the number of $12 shares is 5. Since the number of $10 shares is 5 more than twice the number of $12 shares, the number of $10 shares is 2(5)+5=15.
Hilda bought 5 $12 shares and 15 $10 shares.
What are the intercepts of the line?
A.
x-intercept:-8 ; y-intercept:0
B.
x-intercept:0 ; y-intercept:
C.
x-intercept:-8 ; no y-intercept:
D.
no x-intercept: ; y-intercept:-8
Answer:
D cause it crosses at -8
Step-by-step explanation:
The following stem-and-leaf plot represents the scores earned by Mr. Roberts's class on their most recent science test.
What is the median of the scores?
78
80
81
86
Answer:
im pretty sure its 81
Step-by-step explanation:
Assume the method dosomething has been defined as follows: public static void dosomething (int[] values, int p1, int p2) { int temp = values[p1]; values[p1] = values[p2]; values[p2] = temp; } what does the method do?3
a bag contains 1p 2p and 5p coins .3/8 of the bag are 1p coins.there are as many 5p coins than 1p coins in the bag . there are 640 cois in total. work out the number of 2p coins in the bag
The number of 2p coins in the bag is 160
How to get the number of 2p coins
Assuming:
the number of 1p coins is xthe number of 2p coins is y and the number of 5p coins is z.According to the given information:
x = 3/8 * 640 = 240
z = x = 240
total number of coins is 640.
x + y + z = 640
plugging in the values
240 + y + 240 = 640
y + 480 = 640
y = 160
The points A(12,7), B(12,−3), C(−2,−3), and D(−2,7) form rectangle ABCD. Which point is halfway between A and B? CLEAR CHECK (12,0) (12,5) (12,2) (12,−2)
What is 0.0371 × 10000?
a population of 140000 grows 4% per year for 16 years. How much will the population be after 16 years?
Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long.
donna received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.84 per pound. after buying the coffee, she had $30.80 left on her card. how many pounds of coffee did she buy?
An isosceles triangle has area of 125 ft. If the base is 16 ft, what is the length of each leg? Round your answer to the nearest tenth
Final answer:
To find the length of each leg of an isosceles triangle with an area of 125 ft² and a base of 16 ft, we first calculate the height and then apply the Pythagorean Theorem. The length of each leg is approximately 17.6 ft.
Explanation:
The question asks about finding the length of each leg of an isosceles triangle given the area and the base. To solve this, we use the formula for the area of a triangle, A = 1/2 × base × height, and apply the Pythagorean Theorem since the height creates a right triangle with the leg of the isosceles triangle and half of the base.
First, we find the height using the given area, A = 125 ft² and base, b = 16 ft. The formula rearranges to height = 2A / base, giving us height = 2(125) / 16 = 15.625 ft.
Next, using the Pythagorean Theorem, a² + b² = c², we let a represent half of the base (8 ft), b be the height (15.625 ft), and c be the leg of the triangle. Solving for c, we find c ≈ 17.6 ft, rounded to the nearest tenth.
Jennifer bought 28 tickets to the museum for students and adult chaperones.She paid a total of $350.80, which included an $8.00 donation to the museum.Write a system of equations that can be used to determine the number of student tickets, s, and the number of adult tickets, a, Jennifer purchased. Algebraically solve the system of equations to determine the number of student tickets Jennifer purchased. Show or explain your work.
The price for students is 14.50 and the adults are 19.50
NEED HELP ASAP!!!!!!!!
Using the graph below, find the missing value to complete the t-chart.
the chart:
x y
-3 5
0 -1
2 ?
A. -3
B. 5
C. 3
D. -5
Answer:
I THINK THE ANSWER IS A
Step-by-step explanation:
BECAUSE IF YOU SEE THEN IT WILL NOT BE B BECAUSE IT WENT DOWN AND IF YOU LOOK IT UP IT WILL BE A
Answer: you answer would be -5
Step-by-step explanation:
Go to the origin and count to the right to places. Then count downwards towards the line and count the number. In this case you move down 5 so it is -5. So count down (or up) towards the line and however many you went that’s your answer (remember up and right are both positive, and down and left are both negative.)
In triangle XYZ,XY=15,YZ=21, and XZ=27. What is the measure of angle Z to the nearest degree?
Final answer:
Using the Law of Cosines, we find that the cosine of angle Z is approximately 0.6333, and therefore, angle Z in triangle XYZ is approximately 51° when rounded to the nearest degree.
Explanation:
To find the measure of angle Z in triangle XYZ, with sides XY = 15, YZ = 21, and XZ = 27, we can use the Law of Cosines. The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. In our case, we can find the cosine of angle Z by the equation:
cos(Z) = (XY² + XZ² - YZ²) / (2 · XY · XZ)
Plugging in the values, we get:
cos(Z) = (15² + 27² - 21²) / (2 · 15 · 27)
Calculating further:
cos(Z) = (225 + 729 - 441) / (810)
cos(Z) = 513 / 810
cos(Z) = 0.6333
The next step is to find the angle whose cosine is 0.6333. We can use a calculator to find the inverse cosine:
Z = cos⁻¹(0.6333)
Hence, the measure of angle Z to the nearest degree is approximately:
Z ≈ 51°
The measure of angle Z is approximately 70 degrees (rounded to the nearest degree).
To find the measure of angle Z in triangle XYZ, you can use the Law of Cosines. The formula is:
[tex]\[ c^2 = a^2 + b^2 - 2ab \cos(C) \][/tex]
where:
- c is the side opposite the angle you want to find (in this case, side XZ),
- a and b are the other two sides (XY and YZ),
- C is the angle opposite side c.
In this case, let C be the angle Z, and a = XY = 15, b = YZ = 21, and c = XZ = 27.
[tex]\[ 27^2 = 15^2 + 21^2 - 2(15)(21) \cos(Z) \][/tex]
Now, solve for cos(Z):
[tex]\[ 729 = 225 + 441 - 630 \cos(Z) \][/tex]
[tex]\[ 630 \cos(Z) = 441 - 225 \][/tex]
[tex]\[ 630 \cos(Z) = 216 \][/tex]
[tex]\[ \cos(Z) = \frac{216}{630} \][/tex]
[tex]\[ \cos(Z) \approx 0.343 \][/tex]
Now, find the angle Z:
[tex]\[ Z = \cos^{-1}(0.343) \][/tex]
[tex]\[ Z \approx 70.18 \][/tex]
So, the measure of angle Z is approximately 70 degrees (rounded to the nearest degree).
susan has a circular koi pond in a square patio with sides measuring 30 feet each. Find the area of the shaded region to the nearest hundredth.use 3.14 for pi
What equation results from completing the square and then factoring? x^2 + 24x = 33
Answer:
[tex](x+12)^2=177[/tex]
Step-by-step explanation:
We have been given an equation: [tex]x^2+24x=33[/tex].
To complete the square we change the left hand side of the equation to a perfect square trinomial. For this we add [tex](\frac{b}{2})^2[/tex] to both sides of equation, where b is the coefficient of x.
We can see that coefficient of x for our given equation is 24. So we will add [tex](\frac{24}{2})^2=12^2=144[/tex] to both sides of our equation.
[tex]x^2+24x+144=33+144[/tex]
[tex]x^2+24x+144=177[/tex]
Let us factor left side of our equation as the square of binomial.
[tex](x+12)^2=177[/tex]
Therefore, our resulting equation will be [tex](x+12)^2=177[/tex].
Answer: (x+12)^2=177
Step-by-step explanation: