The value of the function f(x) is 600 when x=0 and decreases by 9% for every one-unit increase in x. Complete the equation that represents the function f(x)
its a open answer please help
Answer:
[tex]f(x)=600(0.09)^x[/tex]
Step-by-step explanation:
Since f(x) decreases by 9% for every one unit increase in x, it means that f(x) is an exponential decay function. An exponential function is given by:
f(x) = [tex]ab^x[/tex]; where a is the value of f(x) at x = 0, b is the multiplier and is less than 0 for a decay.
Therefore since at x = 0, f(x) = 0. Hence a = 600. Also, b = 9% = 0.09.
The function f(x) can hence be represented as:
[tex]f(x)=600(0.09)^x[/tex]
You buy a TV that costs $550 and you pay 6% sales tax. How much do you pay in total for the TV?
$33
$583
$517
$187
Answer:
$583 :)
Step-by-step explanation:
well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!
Collin is paid £99.44 for a 8 hour shift what is Collins pay per hour
Classify each pair of angles as adjacent, vertical, supplementary, complementary, or neither.
Adjacent
Vertical
Supplementary
Complementary
Neither
PLEASE HELPP MEE
Answer:
Complementary
Step-by-step explanation:
49°+41° = 90°
20 points AND brainliest. Write an equation in slope intercept form to represent the table above. For example: y = 36x + 36. Please put enter a space after each term as shown in the example.
Answer:
This is a ratio table,so therefore there is always a pattern.
Step-by-step explanation:
In order to solve,you have to find the constant in the question,such as 30,40,50,and 60.The constant in this example is 10.When the constant is not even,or the numbers are not even,that's the time you pull out your notebook multiplication chart.Look at the numbers,and see if those numbers are on the chart.If all of them are on the chart,then see if one or both of the multiplicable numbers fall under the category of your variables.If all are under one number,then that number is your answer.
Carlos landlord added a markup of 6.5% to their October rent . Carlos rent would have been 750 what is the cost of his rent after the markup
Answer:
c
Step-by-step explanation:
dont know if i am right
Please answer!!! I’ll make brainliest
Answer:
10.3
Step-by-step explanation:
The question is asking to find the length of the hypotenuse of the triangle. This requires us to use the Pythagorean theorem. The legs measure 9 and 5, so we use these to solve for c.
[tex]9^{2} + 5^{2} =c^{2} \\81 + 25 = c^{2} \\106 = c^{2} \\[/tex]
We find the square root of both sides to find the value of c.
10.295 ≈ c
Rounded to the nearest tenth, c ≈ 10.3. The answer is 10.3
PLS HELPPP !! BRAINLIEST!!
Each cube in this figure is a 1/2 -centimeter cube. What is the total volume of the prism?
A. 4 1/2cm3
B. 1 1/2cm3
C. 6cm3
D. 18cm3
Can someone help me with this? And no links or random answers please.
Answer:
B, 215483cm^3
Step-by-step explanation:
volume of a cylinder equals its base area by its height;
.
its base area = r^2 x 3.14 = 15^2 x 3.14 = 706.5
.
volume = 706.5 x 305 = 215482.5 cm^3
.
approximately 215483 cm^3
PLZZZZ HAAALLLPPPP!!!!!
Answer:
0
Step-by-step explanation:
-9x -3(2) = 6
-9x + 6 = 6
-9x + 6 -6 = 6-6
-9x/ -9= 0/-9
x=0
Michelle delivers books to school libraries. her truck has a slide out ramp for unloading the books. the top of the ramp is 3 ft above the ground. the ramp itself is 5.2 ft long. what is the horizontal distance the ramp reaches
Answer:
4.2 ft
Step-by-step explanation:
We can assume that the truck is vertically straight, so this will make up the vertical side of the triangle.
This means that the triangle is a right triangle since a right angle will be formed with the ground and the 3 ft side.
Next, we have the ramp length which is 5.2 ft long. This will be the hypotenuse of the right triangle since the ramp is slanted.
We want to find the length of the horizontal leg of the right triangle, which will give us the horizontal distance the ramp reaches.
We can use the Pythagorean Theorem since this is a right triangle:
a² + b² = c² a and b are the legs, c is the hypotenuseSubstitute these values into the equation and solve for b.
(3)² + b² = (5.2)² 9 + b² = 27.04 b² = 18.04 b = 4.24735211632The horizontal distance the ramp reaches is 4.2 ft, parallel to the ground.
Select the correct answer.
Which of these is the standard form of the following function?
f(1) = 7(1 - 1)2 + 3
OA. f(x) = 7x2 14r + 10
OB. f(x)
7x2 14 - 10
O c. f(0) = -7x2 14r + 10
OD. f(x) = -732 – 141 – 10
Reset
Next
Answer:
answer is: 7x^2-14x+10
Step-by-step explanation:
URGENT HELP PLZ ILL GIVE BRAINLIEST!!!
Answer:
36
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
<A+ <B+ <C = 180
2x+6x+2x = 180
10x = 180
Divide by 10
10x/10 = 180/10
x = 18
We want to find <C
<C = 2x
= 2*18
= 36
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. Which quantity is unknown? The price of a bottle of water. Let w equal the price of a bottle of water. Write an equation that represents the situation.
77*22= 1694 2*22=44
Step-by-step explanation:
22w + 44 = 77 is the equation which represents the situation and the price of a bottle of water is $1.5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let w be the price of a bottle of water.
The coach is buying 22 bottles of water and 22 energy bars, which cost a total of $77.
The cost of 22 energy bars is $2 x 22 = $44.
So the total cost of 22 bottles of water and 22 energy bars is:
22w + 44 = 77
We can simplify this equation by first subtracting 44 from both sides:
22w = 33
Then, we can solve for w by dividing both sides by 22:
w = 1.5
Therefore, 22w + 44 = 77 is the equation which represents the situation and the price of a bottle of water is $1.5.
To learn more on Equation:
https://brainly.com/question/10413253
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What is the value of y in the equation below?
4y + 8 = 6y + 2
3/5
1
3
5
Answer:
y=3
Step-by-step explanation:
good luck
In a particular week, Mary
worked 8 hours per day for 3
days and 4 hours per day for 2
days. She was paid $10 per hour.
How much did she earn for that
week?
A. $ 120.
B. $ 320.
C. $ 400.
D. $ 600.
Answer:
B. $ 320
Step-by-step explanation:
[8(3) + 4(2)]10
(24 + 8)10
320
URGENT: Find the value of X
Answer:
72x
Step-by-step explanation:
PLS HELP ILL MARK BRAINLIEST THANK U
Answer:
9,11,16. 4,6,7. 6,8,12
Right. Acute. obtuse
Step-by-step explanation:
obtuse 9,11,16
acute 4,6,7
obtuse 6,8,12
What is the slope of the line through the points (-4, 2) and (-16, -6)?
Answer:
m=2/3
Step-by-step explanation:
Determine the exact value for sec (5π/4)
Answer:
-√2
Step-by-step explanation:
C on Edg
Answer: - square root 2
Step-by-step explanation: c on edge
Rachel is calculating the interest earned on a deposit of $350 in an account that earns 6% simple interest after 15 years.
I= prt
I=350(6)(15)
I=31,500
Rachel calculates the interest earned to be $31,500 as shown in her work above. Find the correct amount of interest earned.
Answer:
$315
Step-by-step explanation:
You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.
I = interest amount
P = principal amount
r = interest rate (decimal form)
t = time
Now we can plug in the values into the equation:
This means that Rachel earned $315 worth of interest in the 15 year period.
Answer: $315
Step-by-step explanation:
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Answer:
2/10 * 2/10 = 1/25
Step-by-step explanation:
Suppose you have 10 marbles in a bag. 5 black , 2 pink and 3 blue
As if two pink marbles are selected then for one pink marble probability = event occurred / total outcome = 2/10
Similar probability for an other pink marbles Probability for the drawing two pink marbles is P = 2/10 * 2/10 = 1/25
A doll's house is
1/8
the size of a real house.
The length of the doll's house is 1.5m.
How long is the real house?
Answer:
12m,
Step-by-step explanation:
1.5 times 8 =12Given y = 50(1.15)*, what type of
function is this?
Is 16t - 3t equivalent 3t - 16t
Answer:
No, 16t -3t equals 13t while 3t - 16t equals -13t
Answer:
No,
16t= 16x2=32
3t=3x2=6
32-6=26
3t=3x2=6
16x2=32
6-32=-26
Step-by-step explanation:
t=2?
(1/p-p)(1/p-q)-q/p^2(1/q+qp^2)
Solve for :
92 + 210
48 + 140
Rep
48+140=188
92+210=302
if you at all it equals 490
Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
5 because of slope equation
4. Based on the original question, how many quarters and dimes must Jada have?
Can someone help pls
Answer:
36.8 ft.
9 ft. 2 inch = 9.2
9.2 x 2 = 18.4
9.2 x 2 = 18.4
18.4 + 18.4 = 36.8