Answer:
[tex]y=32500(0.86)^{x}[/tex]
Step-by-step explanation:
General exponentially depreciating function is given as
[tex]y= a(1-b)^{x}[/tex]------------(1)
Where a is initial value, b is percent depreciation/unit time and x is time
Here
[tex]a=32,500 \ \ \ b=0.14 \ \ \ and \ \ x \ is \ time \ in \ years[/tex]
Substituting above values in equation (1)
[tex]y=32500(0.86)^{x}[/tex]
At x=0
[tex]y=32500(0.86)^{0}\\y=32500[/tex]
At x=1
[tex]y=32500(0.86)^{1} \\y=27950[/tex]
Tyson works 34 hours each week at $20.39 per hour.
Tyson has 29.51% taken out for taxes and withholdings,
What is the net pay per year?
A $488.68
B. $10,638.21
C. $204.58
D. $25,411.31
Answer:
34 X 20.39 = 693.26
693.26 X 52 = 36049.52
100-29.51 = 70.49
36049.52/100 X 70.49 = 25411.306648
monetary value rounded 2dp = $25411.31
answer is D
Long Divison : 3 divided by 2,284 = and don't forget the remainder of it all
2,284 divided by 3,what is the remainder??
Answer :2,284÷3=761 and remainer=1
Answer:
761 R1
Step-by-step explanation:
Find the rate of change
Answer:
non linear
Step-by-step explanation:
you can see it doesnt go up a specific number each time, aka changes each time, therefor its non linear
Answer:
2
Step-by-step explanation:
Use the method
Change in output / Change in input
The input progresses by 1, and y progresses by 2.
We will plug the numbers in.
2/1
Then simplify.
2/1 = 2
Hence, the rate of change is 2.
Which expression represents (−21−−−−√5)6 in rational exponent form? (−21)6/5 −215/6 (65)−21 (56)−21
Answer:
[tex](-21)^\frac{6}{5}[/tex]
Step-by-step explanation:
Which expression represents [⁵√(−21)]⁶ in rational exponent form?
Solution:
Rational numbers are numbers which can be expressed as fractions in the form a / b, where a, b are integers and b is not equal to zero.
A rational exponent is an exponent that is a fraction. For example √2 = [tex]2^\frac{1}{2}[/tex].
When expressing a number in rational exponent form, the numerator of the fractional exponent refers to a normal power, but the denominator refers to the root.
[tex][\sqrt[5]{(-21)}]^6 = (-21)^\frac{6}{5}[/tex]
You place a 16 foot ladder against a building. The angle that the ladder forms with
the ground is 60 degrees. How far from the base of the building is the bottom of
the ladder? round to the nearest foot.
Answer:The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.
Step-by-step explanation:
Classify angle X Y Z. please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!! (Last option is Isosceles triangle) !!!!!!!!!
Answer:
its C
Step-by-step explanation:
The number 299 is divided into two parts in
the ratio 5:8. The product of the numbers
(A) 21140
(C) 21160
(B) 21294
(D) 31294
A must-have for any thrill seeker is a drop tower ride. The Precipice Plummet will stand 420 feet tall. The scale in your architectural diagrams is 1":40'. How tall will your drawing of Precipice Plummet be in inches? (do not include units in your answer, just the number
The answer is 10.5, but don't put 10.5 if it's just asking for the number and not the unit only put (10)!!!
take off discount and find the sale price of 15%off of $60.00
discount sale price
Answer:
15% off of $60.00 would be $51.00
Step-by-step explanation:
(15 x 15) / 100 = 9
60-9=51
</3 PureBeauty
HELP ASAP 30 points
Part 1 out of 2
To repair a large truck or bus, a mechanic might use a parallelogram lift. The figure shows a side view of
the lift. FGKL, GHJK, and FHJL are parallelograms.
G
2
T: +
3
5
6
8
17
K
3
Which angles are congruent to 21?
<
,2
2
are congruent to 21.
Check
Next
Answer:
<6 , <8 , <3 are congruent to <1
Step-by-step explanation:
<6 = <1 ( being opposite Angles of parallelogram )
<8 = <6 ( being corresponding angles)
<8 = <1
<3 = <8 ( being opposite angles of parallelogram)
<3 = <1
Hope it will help :)❤
I need help with a geometry problem
#1
[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]
[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]
[tex]\\ \tt\hookrightarrow 2x=32[/tex]
[tex]\\ \tt\hookrightarrow x=16[/tex]
#2
[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]
[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]
[tex]\\ \tt\hookrightarrow 32x=192[/tex]
[tex]\\ \tt\hookrightarrow x=6[/tex]
Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....
Answer:
[tex]A_n = 7(-6)^{n-1}[/tex]
Step-by-step explanation:
Key skills needed: Explicit formula, Geometric sequence
1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.
This can be done by doing -42 ÷ 7 or 252 ÷ -42
-42 ÷ 7 equals -6.
252 ÷ -42 also equals -6.
2) This means that constant is -6.
3) The general form for an explicit formula of a geometric sequence is:
[tex]a_n = a_1(r)^{n-1}[/tex]
--> r means the constant (or common ratio) that is being multiplied.
--> [tex]a_1[/tex] means the first term
--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).
--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.
4) We can use this formula to create an explicit formula for the geometric sequence in the problem.
--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).
--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)
This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]
Hope you understood and have a nice day!! :D
PLS HELP MEEEEEEE IM CRYING RN IM GONNA FAIL
At the rodeo, 256 hot dogs were sold for a total of $768. If each hot dog sold for the same amount, what would be the cost of 24 hot dogs?
Answer:
$72
Step-by-step explanation:
$768/265 = $3
$3 x 24 = $72
Answer:
$72
Step-by-step explanation:
768/256 = how much each hot dog was sold for
768/256 = 3
Each hot dog was sold for $3.
24*3 = $72
Therefore, the cost of 24 hot dogs is $72.
(6x - 3) - (-3x + 2)
Answer:
Step-by-step explanation:
Simplifying
6x + -3 = (3x + -2)
Reorder the terms:
-3 + 6x = (3x + -2)
Reorder the terms:
-3 + 6x = (-2 + 3x)
Remove parenthesis around (-2 + 3x)
-3 + 6x = -2 + 3x
Solving
-3 + 6x = -2 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3 + 6x + -3x = -2 + 3x + -3x
Combine like terms: 6x + -3x = 3x
-3 + 3x = -2 + 3x + -3x
Combine like terms: 3x + -3x = 0
-3 + 3x = -2 + 0
-3 + 3x = -2
Add '3' to each side of the equation.
-3 + 3 + 3x = -2 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = -2 + 3
3x = -2 + 3
Combine like terms: -2 + 3 = 1
3x = 1
Divide each side by '3'.
x = 0.3333333333
Simplifying
x = 0.3333333333
How much is 92 quadrillion cents
QUICKK
Solve systems by substitution Find the solution
SHOW ALL WORK
X = 5
-4x + y = -10
( , )
The price of an item yesterday was $160 today price fell $136 find the percentage decrease
Answer:
15%
Step-by-step explanation:
you just subtract it and convert it to percentHelp!
Sarah was standing on a dock next to the ocean. She kicked a soccer ball off the dock to her friend in the water. 4 seconds after she kicked the ball it reached a height of 9 feet above the water. It hit the water 6 seconds later.
Write an equation for the path of the rock in y=a(x-h)^2+k and give the height of the dock that she kicked the ball from. Show your work!
Answer:
1) The equation for the of the ball in y = a·(x - h)² + k is;
y = -16·(x - 5)² + 25
2) The height of the dock, d = -375 feet below the water level
Step-by-step explanation:
1) The question is with regards to quadratic function representing projectile motion
The given parameters are;
The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet
The time the ball hits the water = 6 seconds after reaching the 9 feet height
The form of the quadratic equation representing the motion is given as follows;
y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k
Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;
The equation for the ball, y = a·(x - h)² + k
Where;
(h, k) = The coordinates of the vertex
h = The horizontal component of the vertex coordinate = 0
Therefore, we have;
When x = 0, y = d
d = -16·(0 - h)² + k = -16·h² + k
d = -16·h² + k
When x = 4, y = 9 - d
9 - d = -16(4 - h)² + k = -16(4 - h)² + k
When x = 2, y = d
d = -16(2 - h)² + k
When x = 6, y = 9
9 = -16(6 - 5)² + k
When x = 8, y = d
d = -16(8 - h)² + k
-16(8 - h)² - (-16(2 - h)²) = 0
h = 5
From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k
d = 9 - k
9 = -16(6 - h)² + k
k = 9 + 16(6 - 5)² = 25
d = 9 - k = 9 - 25 = -16
Therefore, h = 5, k = 25
The equation for the of the ball in y = a·(x - h)² + k is therefore;
y = -16·(x - 5)² + 25
2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water
The height of the dock, d = -375 feet below the water level
The doctor recommended that Matt decrease the number of calories he consumed from 3,000 to 2,400. By what percent did the number of calories decrease?
thanks.
Answer:
28%
Step-by-step explanation:
Answer: 28%
Step-by-step explanation:
1800/2500 = 0.72
0.72 = 72%
100% - 72% = 28%
Select the correct answer.
Which graph has a domain of x
> -3
Answer:
the answer is actually c.
Step-by-step explanation:
I took the test and you would want the line to be going to the greater value of -3 because x is greater than -3.
Hope this helps :)
Answer:
the answer is c
Step-by-step explanation:
i took the test and got it right.
URGENT!!! 30 points!
What is the x-coordinate of the point that can be plotted on the graph between (6, 2) and (12, 4) that is part of this set of equivalent ratios? Choose the point which has integer values for x and y.
On a coordinate plane, the points (3, 1), (6, 2), and (12, 4) are plotted.
Answer:
Lol its 8
Step-by-step explanation:
Philip is saving money to buy a new computer. He saves the same amount of money each
week.
• After 2 weeks of saving, Philip still needs $520 to buy the computer.
• After 6 weeks of saving, Philip still needs $300 to buy the computer.
How much does the computer cost?
Answer: 1020
Step-by-step explanation:
300 + 200 = 500 + 520 = 1020
The original price of last year's gaming system was $399. It is now selling at a 24% discounted price. What is the sale price?
Answer:
$303.24
Step-by-step explanation:
399.00x24%=95.76
399.00÷95.76=303.24
I need help ASAP. Is it A B C or D???
Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box,
leaving the top and the bottom without decorations. The unshaded parts of the model and
the diagram below show the parts that she decorates. What is the total area that Olivia
decorates?
5 in.
11 in.
8 in
190 square inches
440 square inches
366 square inches
256 square inches
Taking the test rn, it’s 190 square inches.
Found the answer on another site. Worked fine, hope that helps
Answer:
440
Step-by-step explanation:
I HAVE I READY TOO AND IT’S KILLING ME
Plz help with these 3:)
Answer: 1) 2
2) 7/10
3) -1/3
Wylie climbs steadily down a trail that is 1,500 feet above sea level for 40 minutes. Then he takes a 10-
minute lunch break. After lunch, Wylie climbs back up the trail for 5 minutes to take a picture. Finally, he
hikes for 15 minutes until he reaches sea level. Which graph best represents this description?
о А.
OB
fy
ТУ
15
15
Elevation (100 ft)
Elevation (100 ft)
x
0 20 40 60
Time (min)
X
0 20 40 60
Time (min)
fy У
15
y
15
Elevation (100 ft)
Elevation (100 ft)
X
0 20 40 60
Time (min)
Х
0
20 40 60
Time (min)
Answer:
C
Step-by-step explanation:
I need help with this ASAP
Answer:
it is D
since 6 percent of people infected by 10 day
- 5/6 m = -60
dude im so sorry but i reallyyy dont get why they put letters in math
Answer:
m = -72
Step-by-step explanation:
- 5/6m = -60
multiply both sides by - 6/5
m = -72
Hope This Helps!!!
Answer: m=72
Step-by-step explanation: look at the picture it have the explain & hope this help