Answer:
410.32
Step-by-step explanation:
Given that the initial quantity, Q= 6200
Decay rate, r = 5.5% per month
So, the value of quantity after 1 month, [tex]q_1 = Q- r \times Q[/tex]
[tex]q_1 = Q(1-r)\cdots(i)[/tex]
The value of quantity after 2 months, [tex]q_2 = q_1- r \times q_1[/tex]
[tex]q_2 = q_1(1-r)[/tex]
From equation (i)
[tex]q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)[/tex]
The value of quantity after 3 months, [tex]q_3 = q_2- r \times q_2[/tex]
[tex]q_3 = q_2(1-r)[/tex]
From equation (ii)
[tex]q_3=Q(1-r)^2(1-r)[/tex]
[tex]q_3=Q(1-r)^3[/tex]
Similarly, the value of quantity after n months,
[tex]q_n= Q(1- r)^n[/tex]
As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,
[tex]q_{48}=Q(1-r)^{48}[/tex]
Putting Q=6200 and r=5.5%=0.055, we have
[tex]q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32[/tex]
Hence, the value of quantity after 4 years is 410.32.
Answer:
442.44
Step-by-step explanation:
Three (3) movie tickets cost $36. At this rate, what is the cost per
ticket?
O $18
$33
O $12
O $108
Answer: 12$
Step-by-step explanation:
12X3 =36 , or 12 +12 +12 = 36
Can you please help me!
Answer:
16
Step-by-step explanation:
Pythagoras theorem was used
Please help it’s geometry! I’ll make brainliest
Side lengths: 24 in, 30 in, and 36 in
Volume of this is 25920 inches cubed
BRAINLESS
don't answer if you don't know the answer to the question
The triangle is rotated 90° clockwise around the point (0,0). What will be the coordinates of the image of point L after the rotation?
Answer:
B
Step-by-step explanation:
You see the long side is right on the x axis so the L point will be the same length from itd rotation. Its rotation will have the long side laying along the Y axis and making it (2, 6)
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!
A.) 6 units
B.) 10.7 units
C.) 5.5 units
D.) 3 units
Answer:
A
Step-by-step explanation:
Δ NLP and Δ NMO are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{NL}{NM}[/tex] = [tex]\frac{NP}{NO}[/tex] , substitute values
[tex]\frac{15+x}{15}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )
20(15 + x) = 420 ( divide both sides by 20 )
15 + x = 21 ( subtract 15 from both sides )
x = 6
the price of a computer was decreased by 20% to £136. what was the price before it was decreased
Answer:
170
Step-by-step explanation:
Let x be the original price
x* .20 is the decrease
x - .20x = new price
.80x = new price
.8x = 136
Divide each side by .8
.8x/.8 = 136/.8
x =170
Answer:
7
Step-by-step explanation:
Plz help its really urgent!!
Answer:
3)0.4 and 1.8
Step-by-step explanation:
:):):):):):):);):):)
Solve the inequality *
5< -2x + 5 < 25
Answer:
[tex]\huge\boxed{-10<x<0\to x\in(-10;\ 0)}[/tex]
Step-by-step explanation:
[tex]5<-2x+5<25\qquad|\text{subtract 5 from all sides}\\\\0<-2x<20\qquad|\text{change all signs}\\\\0>2x>-20\to -20<2x<0\qquad|\text{divide all sides by 2}\\\\-\dfrac{20}{2}<\dfrac{2x}{2}<\dfrac{0}{2}\\\\-10<x<0[/tex]
Write a equivalent expression for (4n + 14) + (5 + 8n)
Answer:
= 12n + 19
Step-by-step explanation:
ILL GIVE BRAINLIEST ! Choose all the expressions that are equivalent to 3(2 + 11) *
32 + 311
3(2) + 3(11)
3(2) + 11
6 + 11
6 + 33
3 + 22
Answer:
6+33 and 3(2)+3(11) are the correct answers.
Step-by-step explanation:
Last Tuesday was silly hat day at Wesley's school. 33 students wore a silly hat and 517 students did not. What percentage of the students wore a silly hat?
Answer: 6%
Step-by-step explanation:
Number of students that wore a silly hat = 33
Number of students that students that did not = 517
Total number of students = 33 + 517 = 550
The percentage of the students that wore a silly hat
= 33/550 × 100
= 6%
Determine of 10% of 300.
using a double number line
Answer:
100% - 300
------------------------
10% - x
[tex]100x=300*10\\100x=3000\\x=\frac{3000}{100}\\x=30[/tex]
Answer:
may I try it can be
Step-by-step explanation:
10% of 300
10÷100x300
0.1×300
30
Which points are on the graph of g(x) = (1/5)x?
Select each correct answer.
(3, 125) (-2,5) (1, 0) (-1, 5)?
Given:
The function is
[tex]g(x)=(\dfrac{1}{5})^x[/tex]
To find:
The correct ordered pairs.
Solution:
We have,
[tex]g(x)=(\dfrac{1}{5})^x[/tex]
For x=3,
[tex]g(3)=(\dfrac{1}{5})^3[/tex]
[tex]g(3)=\dfrac{1}{125}[/tex]
So, the ordered pair is [tex](3,\dfrac{1}{125})[/tex].
For x=-2,
[tex]g(-2)=(\dfrac{1}{5})^{-2}[/tex]
[tex]g(-2)=(5)^2[/tex] [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]
[tex]g(-2)=25[/tex]
So, the ordered pair is [tex](-2,25)[/tex].
For x=1,
[tex]g(1)=(\dfrac{1}{5})^1[/tex]
[tex]g(1)=\dfrac{1}{5}[/tex]
So, the ordered pair is [tex](1,\dfrac{1}{5})[/tex].
For x=-1,
[tex]g(-1)=(\dfrac{1}{5})^{-1}[/tex]
[tex]g(-1)=(5)^1[/tex] [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]
[tex]g(-1)=5[/tex]
So, the ordered pair is (-1,5). This is the correct answer.
Therefore, the correct option is D.
Determine whether the graphs of y=1/2x-8 and y=-2x-6 are parallel, perpendicular, coincident, or none of these.
Answer:
They are parallels
Step-by-step explanation:
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .
Answer:
7 / 12
Step-by-step explanation:
(0 + 1/2 + 1/2 + 1/2 + 1 + 1) / 6 = 7 / 12 or 0.58
NEED HELP FAST PLEASE!
Answer:
is c because i had that problem already
A teacher is writing an exam with 60
questions. If she has finished writing 70% of
the questions, how many questions does she
still need to write?
A) 18
B) 20
C) 30
D) 42
Can smb yk..
Fill in the missing terms of the arithmetic sequence.
-7, __, 1, 5, __, 13
A. 4, 10
B. -3, 9
C. -3, 10
D.-4, 9
Answer:
B
Step-by-step explanation:
using the back to back numbers 1 and 5, you can tell that each number goes up by 4. ex: -7+4=-3+4=1+4=5+4=9+4=13 and so on
100) Reflect the point in (a) the x-axis and (b) the y-axis.
36. (4,1)
37. (-2,3)
38. (2, -5
39. (-3.5, -2.5)
Answer:
Step-by-step explanation:
36. (4,1)
x-axis(4,-1)
y-axis(-4,1)
37.(-2,3)
x-axis(2,-3)
y-axis(-2,3)
38.(2,-5)
x-axis(-2,5)
y-axis(2,-5)
39.(-3.5, -2.5)
x-axis(-3.5,2.5)
y-axis(3.5,-2.5)
Please correct me I am wrong
Here is the y-axis formula (-x,y)
Here is the x-axis formula(x,-y)
can someone help me understand how to do this?
Answer:
1/3
Step-by-step explanation:
To get no solution, you want to get rid of x and leave an incorrect equation.
In this case, we will use 1/3x.
1/3x + 2 = 1/3x - 3
We subtract 1/3x on both sides. This will cause the 1/3x's to cancel out.
1/3x - 1/3x + 2 = 1/3x - 1/3x - 3
2 ≠ -3
As we know, 2 is not 3. Therefore, there is no solution if 1/3x is used.
amelia needs to buy some dog food at the nearest store, 3 bags of dog food cost $10.50 how much would amelia spend on 5 bags
Answer:
15.25
Step-by-step explanation:
Answer:
First you would have to find the unit price for the dog food so you would do 10.50 ÷ 3 to get 3.5, so for one bag it costs $3.50, next you would multiply 3.50 by 5 to get 17.5, so your answer would be $17.50
Find the values of b such that the function has the given maximum value [tex]f(x) = -x^2+bx-65[/tex]. I already have it in vertex form as [tex]-(x+\frac{b}{2})^2-65+\frac{b^2}{4}[/tex] but I don't know what to do from here
Answer:
b = {20, -20}Step-by-step explanation:
Given function:
f(x) = -x² + bx - 65 with maximum value of 35To find
The value of bSolution:
Maximum value is obtained at vertex as a < 0
Vertex coordinate of x is:
x = -b/2a = -b / -2 = 1/2bSolving for b:
35 = - (1/2b)² + b(1/2b) - 65- 1/4b² + 1/2b² = 1001/4b² = 100b² = 400b = √400b = ± 20See attached
brainliest to who ever answers correctly
Answer:
it’s either no slope or 0, I dont exactly know which one you would put in to be correct
Step-by-step explanation:
can yall explain me what is PSAT please i need to know :)
Answer:
g o o g l e states, "The PSAT/NMSQT stands for the National Merit Scholarship Qualifying Test, which students take as a sophomore or junior."
Step-by-step explanation:
Answer:
The PSAT stands for Practice Standardized Aptitude Test.
Step-by-step explanation:
This test is meant to evaluate a student's college-specific skills.
ANSWER ME 2 QUESTION.....URGENT....SO PLZZ FASTLY SND ME THE ANSWER....
FAST
FAST
FAST
FAST
FAST
FAST
FAST
FAST
FAST
FAST
FAST
Answer:
whats up , whats the question ?
Step-by-step explanation:
I need help solving this practice question
[tex]3x-9=45\\3x=45+9\\3x=54\\x=18[/tex]
Fun fact
Bananas are curved because they grow towards the sun ☀️
Answer: the answer is 18
Step-by-step explanation:
I need help plz! If anyone knows, I would truly appreciate it! Thank uuu!!!!^^
(5 screenshots included)
Answer:
pic1 a pic2 d
Step-by-step explanation:
i did this
The sum of two numbers is 4. The larger number is 12 more than three times the smaller number. What are the numbers?
Step-by-step explanation:
So, we will take one of the numbers = x
And the other is 12 more than 3 times it, so = 3x + 12
So they said if we add them, we will get 4
So x + (3x + 12) = 4
4x + 12 = 4
4x = 4 - 12
4x = - 8
x = - 8 ÷4
x = - 2
So one of the numbers x = - 2
The other is 3x + 12
So x = - 2
3x +12 = 3(-2) + 12
= 6
So the 2 numbers = 6 and - 2
Lets check!
6 + (-2) = 4
So it's right!
which graph is correct for the equation
Answer:
I think the answer is C.
Step-by-step explanation: