BATTERY LIFE The battery life of a certain cell phone starts at 8 hours. The battery life decreases at an annual rate of 30%.
a. Write a function that represents the battery life y after x years.
Answer:
[tex]y=8(0.7)^x[/tex]
Step-by-step explanation:
Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..
For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.
Exponential form:
[tex]y=a(b)^x[/tex]
where a is the original value and b is the percent change.
In your question:
[tex]y=8(0.7)^x[/tex]
The function that represents the battery life y after x years is y = 8(0.7)ˣ.
What does exponential function ?A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.
Now it is given that,
Battery life starts = 8 hours
Annual decrease rate = 30% = 0.30
So, battery life after an year = 100% - 30% = 70% = 0.7
Now if battery life y after x years
Annual decrease rate after x years = (0.7)ˣ
Thus battery life, y = 8(0.7)ˣ
Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.
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Can someone solve plzzz .
Answer:
you have to use multiplication maybe division and addition
Step-by-step explanation:
Korey completely covered a square counter top using 103.5 ftof tile without any overlap.
Which measurement is closest to the side length of this counter top in feet?
10 ft
O 11 ft
O 27 ft
O 55 ft
Answer:
10 ft
Step-by-step explanation:
10² = 100
11² = 121
Answer: 10 ft
Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $68. The perm costs twice as much as her haircut and she needs $5 for lunch .
Answer:
42 dollars
Step-by-step explanation:
2h+h+5=68
3h+5=68
3h=63 divided by 3
21*2=$42
What are the zeros of the function what are their multiplicities?
before going on the last part of her journey. Hannah needed to rest and eat alot of the food. she ate 2 7/12kg of meat and another 4/12kg of fruits how much food did she eat in total?
Answer: 2 11/12 kg
Step-by-step explanation:
add the fractions and the the two(2)
(6x + 4) - (3x - 2) simplify
Answer:
9x -2
Step-by-step explanation:
6x + 4 - 3x - 2
6x + 3x +4 - 2
9x -2
Answer:
3x + 4Step-by-step explanation:
(6x + 4) - (3x - 2) simplify
(6x + 4) - (3x - 2)=
6x + 4 - 3x + 2
3x + 6
6) Bill is three times older than Kevin. He is also 28 years older than Kevin. How old are they?
Answer:
If bill is 28 years older than him, but also 3 times older than him, then you divide 28 by 3, which gives you 9.3. So that means kevin is around 9 1/4 years old and bill is around 37 and 1/4 years old, but you dont ahve to count the fraction if you dont want to, all that matters is the whole number.
Step-by-step explanation:
Bill is 42, while Kevin is 14 years old
Represent Bill's age with B, and Kevin's age with K.
So, we have the following equations
B = 3K and B = 28 + K
Substitute 3K for B in the second equation
[tex]3K = 28 + K[/tex]
Collect like terms
[tex]-K + 3K = 28[/tex]
[tex]2K = 28[/tex]
Divide both sides by 2
[tex]K = 14[/tex]
Substitute 14 for K in the first equation
[tex]B =3 \times 14[/tex]
[tex]B =42[/tex]
Hence, Bill is 42, while Kevin is 14 years old
Read more about equations at:
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Please help me. What is 5 3/4 - 2 11/12? I'm almost done for the year
Answer:
2.83
Step-by-step explanation:
PLSSSSS HELP MEEEEEE DUE TODAY!!!!!
Answer:
4/5 or .8
Step-by-step explanation:
Which point is a solution for the inequality 3x – 2y < 5
a (3, 2)
b (2, 3)
c (5, 2)
d (8, 5)
how do I solve this?
What's the Area of rectangle with Width=200 Length=400
Answer
80000
Step-by-step explanation:
200×400
=80000
Zoey is having a party for 10 friends.2 If each friend eats 1/2 pounds of chips, how many pounds of chips will Zoey need?
A. 6 pounds
B. 4 pounds
C. 5 pounds
Someone help me
Answer: C
Step-by-step explanation: 10 times 1/2
Answer:
C. 5 Pounds
Step-by-step explanation:
Total of 10 friends divide that by 2 you get five so you would do 5 times to would be 10 (sorry if i explained that weirdly)
Please please solve this quickly. I've tried many things before, and I have no clue what the answer is.
Could someone explain this to me?
Answer:
B.97
Step-by-step explanation:
Heyy so angle ADC and DAB are supp to one another, thus
83 + DAB = 180 --> subtracting
DAB =97. B
Hope that made sense :)
If anyone could plz help ill really appreciate it
Answer:
Help with what is it mental help? Or no cause I’ve dealt with that a lot
Step-by-step explanation:
Members of a soccer team raised $1428 to go to a tournament. They rented a bus for $955.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answer:
16 players can be brought to the tournament. The equation is written within my step-by-step explanation.
Step-by-step explanation:
Variable p = number of players
Set up an equation:
974.50 + 60.75p = 1946.50
Isolate variable p:
60.75p = 972
Divide:
p = 16
Check your work:
974.50 + 60.75(16) = 1946.50
974.50 + 972 = 1946.50
1946.50 = 1946.50
Evaluate each expression for a=7,b=4,and c=-3.
3a-5b =________
7-3a+5a+15 =________
15a^2-17〖bc〗^2 =________
Pls help me
Answer:
Step-by-step explanation: 3a-5b= 3(7)-5(4)
=21-20
=1
7-3a+5a+15=7-3(7)+5(7)+15
=7-21+35+15
=-14+50
=36
15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2
=105^2-204^2
=210-408
=-198
I need help asap please!
What is the scale factor from 125% to 100%?
Answer: 4:5
Step-by-step explanation:
Answer:
4:5
Step-by-step explanation:
a polygon has a interior angle 172
find the number of sides of this polygon
Answer:
45 sides
Step-by-step explanation:
exterior angle + interior angle = 180° , that is
exterior angle + 172° = 180° ( subtract 172° from both sides )
exterior angle = 8°
The sum of the exterior angles of a polygon = 360°
To find the number of sides n , divide 360° by 8°
n = 360° ÷ 8° = 45
Answer:
45 sides
Step-by-step explanation:
If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides
What number is 73% of 14.6
Answer:
10.658
hope it helps
Answer:
10.658
Step-by-step explanation:
14.6 = 100%
? = 73%
73% ÷ 100% x 14.6
= 10.658
10.658 = 73%
Please help with this question thank you (proper answers only)
Answer:
...... ANSWER IS IN THE PICTURE
(x + y) (x -y) simplfied and showing work
Answer:
(x+y) + (x-y) = x + y + x - y =2x
(x+y)(x-y)=x^2 + yx - xy - y^2 = x^2 - y^2
(x+y) ( x-y)
x^2 - y^2
Step-by-step explanation:
. Suha has a full 600 ml bottle of wallpaper remover. She is going to mix some of the wallpaper remover with water. Here is the information on the label of the bottle. Wallpaper remover 600 ml 1 Mix of the wallpaper remover 4 with 4500 ml of water Suha is going to use 750 ml of water. How many millilitres of wallpaper remover should Suha use? You must show your working.
Answer:
25ml of wallpaper remover
Step-by-step explanation:
(y = amount of wallpaper remover)
4500×4 = 18000
18000:600
750 : y
18000y = 600×750
18000y = 450000
y = 450000÷18000
y = 25
2x =3 solve for x in this equation
Answer:
the answer is 3/2
Step-by-step explanation:
2x =3
x= 3/2 when you divide both sides by 2
Answer:
I might be wrong but 1 and 1/2
Step-by-step explanation:
I divided both sides by 2 to isolate the x
I got x = 3/2 which also equal 1 1/2
5 - 6 - 9 - 8 - 5 - 4 + 5 - 5 -5 -5 - 32 = ?
5 - 6 = -1
-1 - 9 = -10
-10 - 8 = -18
-18 - 5 = -23
-23 - 4 = -27
-27 + 5 = -22
-22 - 5 = -27
-27 -5 = -32
-32 -5 = -37
-37 - 32 = -69
Answer = -69
What must be true about two objects of heat is flowing between them?
Answer:
that must mean that either the objects are giving off heat or the heat from one object is transferring to the air
Step-by-step explanation:
Answer:
The objects must be different temperatures.
Step-by-step explanation:
find slope and y intercept
x + y = -2
Answer:
slope =1 and y intercept = -2
Step-by-step explanation:
Find Slope and Y intercept
Slope and Y intercept
x+y=-2<-- subtract x to get y alone
y=-x-2
Thus slope is 1/1 or 1
and y intercept is -2
Answer:
-1
Step-by-step explanation:
y=mx+c m=slope
c=y intercept
y=-x+2
so the slope is -1 and intercept of 2
PLZ HELP ASAP! I GIVE BRAINLIEST AND POINTS!
please dont post links
Find the value of the monomial.
5x^3 for x = 0.5
Answer:
⁵/₈
Step-by-step explanation:
x = 0.5
5x³ = 5(¹/₂)³
5x³ = 5(¹/₈)
5x³ = ⁵/₈