Answer:
x/2500=10/100
Step-by-step explanation:
The value of the computer after 10 years is represented by the function [tex]f(x) = 2500(0.9)^n[/tex]. The correct option is D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Quinton just read that his new computer, which costs $2,500, loses 10% of its value every year.
The expression will be written as below,
[tex]f(x) = 2500(0.9)^n[/tex]
The function [tex]f(x) = 2500(0.9)^n[/tex] represents the computer's value after ten years.
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There are 40 students in a class. Boys makeup 40% of the class. If 25% of the boys wearshirt jacs, how many boys wear shirt jacs?
Answer:
6
Step-by-step explanation:
Find out how many boys makeup the class.
100% = 40
1% = 40 ÷ 100 = 0.40
40% = 0.40 x 40 = 16
Find 25% of the class.
25% = 0.40 x 25 = 10
40 - 25 = 15% of the boys wear shirt jacs.
16 - 10 = 6
If the number of bacteria in a colony doubles every 21 hours and there is currently a population of 150 bacteria, what will the population be 42 hours from now?
Answer:
450
Step-by-step explanation:
i think thats right
PLEASE hELp ASAP WILL MARK BRAINLIEST!
image of the question down bellow which on is the correct option?
Answer:
Its b
Step-by-step explanation:
The number line is saying people spend 70 n below.
please help will mark brainliest for right answer!
-thanks <3
Answer:
The answer is B
Step-by-step explanation:
8 · (x · 4) simplified
Answer:
8x · 32
Step-by-step explanation:
u multiply the 8 and the x together and it gets 8x
then u multiply the 8 and the 4 and then ur done
Answer:
3.2x
Step-by-step explanation:
During the day, Lola's dog is tied by rope to a tree in the center of her yard. The scale drawing below shows the area that the dog has to run, in inches. If the actual length of the rope is 11 2/3 feet, what is the scale used in the drawing?
Answer:
5 /448
Step-by-step explanation:
Radius in drawing = 1 9/16 in
The actual length of rope = 11 2/3 feets
Converting actual length to inches :
1 feet = 12 inches
11 2/3 feets = (11 2/3) * 12 = 140 inches
To obtain the scale used, we divide the Radius in the drawing by the actual length :
1 9/16 ÷ 140
25 /16 ÷ 140
25 /16 * 1 /140
= 25 / 2240
= 5 /448
Hence, scale is 5 /448 times the actual length of drawing
Hence :
The scale used is :
1 feet = 7.4666 inches
Answer:
5/488
Step-by-step explanation:
Gina is four years younger
than twice David's age. Gina
is 18. How old is David?
Answer:
44
Step-by-step explanation:
Gina is four years younger so
18+4=22
since its twice davids age
22×2=44
I NEED HELP ASAP GEOMETRY 10TH GRADE
Answer:
4
Step-by-step explanation:
1. AB:BC is 1:2
2. Add the 1 and the 2
(3)
3. Find the distance between -7 and 26
26-(-7) = 33
4. Divide the distance by 3
33/3 = 11
5. Find the distance from A---->B
-7 + 11 = 4
La suma del triple de un número y nueve veces el mismo número es igual a 120. Hallar el número. 3) Hallar el valor del número z sabiendo que la quinta parte de su tercera parte es igual a 3. 4) Andrés tiene seis veces la edad de Jaime aumentada en 18 e igualada a 36. Hallar la edad de Jaime.
Answer:
El primer número es 10.
z = 45.
La edad de Jaime es de 3 años.
Step-by-step explanation:
Estos problemas los podemos resolver planteando las ecuaciones:
El triple del número (3X) + 9 veces el mismo número (9X) = 120
3X + 9X = 120
12X = 120
X = 120 / 12
X = 10
El primer número es 10La quinta parte de z es z/5 la quinta parte de su tercera parte es (z/5)/3 = 3
z/15 = 3
z = 456Jaime + 18 = 36
6Jaime = 18
Jaime = 3
La edad de Jaime es de 3 añosPLZ HELP ITS DUE NOW NO LINKS
Answer:
show the options
Step-by-step explanation:
Brainliest?
find the least common denominator for the fractions: 5/5, 1/10, 3/4
Answer:
20
Step-by-step explanation:
Let's list some multiples of each denominator
5: 5, 10, 15, 20, 25, 30
10: 10, 20, 30, 40, 50, 60
4: 4, 8, 12, 16, 20, 24, 28
The common denominator (LCD) is 20
So lets input
20 / 20, 2/20, 15/20
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Help me. My pet rat....er my sister needs help with 6th grade work.
Answer:
A
Step-by-step explanation:
Because if your going to divide a whole the whole number needs to be 3/1 so it A the mistake
Answer:
A.) Step 1
Step-by-step explanation:
The actual answer is g=4.
Trevor screwed up at Step 1.
His answer (g = 4/9) to Step 1 (g/3 ⋅ 3 = 4/3 ⋅ 1/3 ) is correct, but it's not the correct answer for g/3 = 4/3.
In Step 1, Trevor's equation was accurate, until the last number (1/3).
If he had flipped 1/3 to 3/1, he would've been correct.
g/3 ⋅ 3 = 4/3 ⋅ 1/3 ← MISTAKE.
Hope this helps out your pet ra- I mean sister.
If the car spends no time going 35 miles per hour how long would the trip take?
Answer:
can you specify how fast the car is going? if the car goes 35 miles per hour and the trip is 3 hours its 105 miles in total for your trip. I hope this helps.
The total time that the car will take to cover the trip would be {x}/35 hours.
What is distance?Distance in kinematics is defined as the product of speed and time.
Mathematically, we can write distance covered as -
distance = speed x time
Given to find the time duration of trip if the car is travelling at 35 miles per hour.
Assume that the total distance that has to be travelled by the car is {x}
miles. From the formula of distance covered, we can write that -
distance = speed x time
time = distance/speed
time = x/35
Therefore, the total time that the car will take to cover the trip would be {x}/35 hours.
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HELP HELP ASAP PLEASE
Answer:
15
Step-by-step explanation:
Pythagorean Theorem
What is the slope of a line that passes through the points (12,7) and (-14,19)?
F) -13/6
G) -1
H) -6/13
J) 3
Answer:
H) -6/13
Step-by-step explanation:
To find the slope of the line between a pair of two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so:
[tex]m = \frac{(19)-(7)}{(-14)-(12)} \\m =\frac{19-7}{-14-12} \\m = \frac{12}{-26} \\m = -\frac{6}{13}[/tex]
So, Option H is correct.
what is the first page in a geography book?
Answer:
uh i think its a uhhh carrotttt
Step-by-step explanation:
Please answer!
What is the mean of this data set?
Answer:
ᴅ. 35.6Step-by-step explanation:
#CᴀʀʀʏOɴLᴇᴀʀɴɪɴɢHELP
Triangle ABC has vertices A(-6, 4),
B(6, 4) and C(-6, -1). What is the
perimeter of triangle ABC? What is the
area of triangle ABC?
Answer:
a
Step-by-step explanation:
Is 72 km/h faster than 20 m/s
Answer:
no.both are equal.
Step-by-step explanation:
72 km/h=72000/(60×60)=20m/s
Answer:
They are equal
Step-by-step explanation:
72 Kilometers per Hour equals the same as 20 Meters per Second.
Watch help video
Write an
explicit formula for An, the nth term of the sequence 32, 25, 18, ....
Answer:
[tex]\bold{a_n=-7n+39}[/tex]Step-by-step explanation:
25 - 32 = -7 and 18 - 25 = -7
It means an arithmetic sequence with common difference d = -7
[tex]a_n = a_1+d(n-1)\\\\a_1=32\\d=-7\\\\a_n=32+(-7)(n-1)\\\\a_n = 32-7n+7\\\\\underline{a_n=-7n+39}[/tex]
Please answer correctly! I will Mark you Brainliest!
Answer:
the height is 9
Explanation:
8 × 10 = 80
720 ÷ 80 = 9
Identify the equation modeled below,and then find its solution
Answer:
H
Step-by-step explanation:
4x-4=-x-1 = 3/5 or .6
HELP HELP HELP HELP HELP PLEASEEE
Answer:
E and B
Step-by-step explanation:
please with this problem I'm not sure what to put
..............
Alex drives at an average speed that is 2/5 of the average speed that Roy's train travels. Alex takes 30 minutes to travel 50 km in her car. Roy travels for 1 hour and 20 minutes on his train. How far does Roy travel to 2 dp (decimal places)?
Answer: 333.33km
Step-by-step explanation:
Average speed is calculated as:
= Distance / Time
Since Alex takes 30 minutes to travel 50 km in her car, Alex average speed will be:
= 50km / 30minutes
= 50km / 0.5hour
= 100km/hour
Since Alex drives at an average speed that is 2/5 of the average speed that Roy's train travels. Roy's average speed will be:
= 100 ÷ 2/5
= 100 × 5/2
= 250km/hour
Since Roy travels for 1 hour and 20 minutes on his train, his distance travelled will be:
= Speed × Time
= 250 × 1 hour 20 minutes
= 250 × 1 20/60
= 250 × 1 1/3
= 250 × 4/3
= 1000/3
= 333.33km
Roy travels 333.33km
On a field trip to the farm, students counted a combined total of 27 sheep
and cows. There are 15 more sheep than cows. If s represents the number
of sheep and c represents the number of cows, which system of equations
correctly represents this situation
Answer:
s = c + 15
s + c = 27
substitute for s:
(c + 15) + c = 27
2c = 12
c = 6
s = 21
The system of equation which correctly represents the situation is s + c = 27 and s - c = 15.
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Given that,
Combined total of sheep and cows = 27
Number of sheep = Number of cows + 15
Let s represents the number of sheep and c represents the number of cows.
s + c = 27
s = c + 15 ⇒ s - c = 15
Hence the system of equation is s + c = 27 and s - c = 15.
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4. An oil palm plantation uses fertiliser at a rate of 350 kg per hectare. State the rate of
fertiliser consumption in g per m². [1 hectare = 10 000 m²]
Answer:
35
Step-by-step explanation:
1kg= 1000g
1 hectare = 10 000 m²
1 kg/hct = 1000/10 000 g/m²
1 kg/hct = 1 / 10 g/m²
350 kg per hectare is equal to 350 / 10 = 35 g/m²
1,find the equation of the line with y-intercept (0,8) and slope ⅗. 2,Find the slope and y-intercept of y=10x-⅓. 3,Find the slopes of the lines containing these points. a) (4,-3) and (6,-4) b)
Answer:
1) y = 3/5x + 8
2) Slope: 10
y-intercept: -1/3
3) y = -1/2x - 1
Step-by-step explanation:
1) The equation you need to refer to for this problem is y = mx+b
m = slope (3/5 for this problem)
b = y-intercept(which is 8)
plug those numbers in and you get y = 3/5x + 8
2) look back at this equation: y = mx+b
10 is the slope and -1/3 is the y-intercept
3) This one is a bit more difficult as you need two other formulas to solve:
the slope formula, y1 - y2/x1 - x2, and the point-slope formula,
y - y1 = m(x - x1)
For this problem, you have the coordinates (4, -3) and (6, -4) which you would plug into the slope formula, like this:
-3 -(-4)/4 - 6 = -1/2
the numbers 1 and 2 in this formula refer to the first (x,y) value and the second. You subtract the two y values and the two x values, simplify, and you get your answer.
-1/2 is going to be the m, or slope, that you will use in the second formula, the point slope formula, y - y1 = m(x - x1)
To solve this you choose one of the original coordinates that you were given to plug into the y1 and x1, and plug -1/2, your slope, in for m:
(keep in mind, for this, I used (4,-3) but you can use either one)
y -(-3) = -1/2(x - 4)
To solve this you, first, distribute -1/2 to x and -4 inside the parentheses:
y -(-3) = -1/2x + 2
Then, on the other side, add the to negatives to get a positive 3:
y + 3 = -1/2x + 2
and subtract 3 from both sides:
y = -1/2x - 1
I hope this isn't too confusing
good luck!
In the diagram, the ratio of AB to AE is 1/2. What is the ratio of the length of DB to the length of CE?
Answer:3/2
Step-by-step explanation:
If BC = 6 and AD = 5, find DC.