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:
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:
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:
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)
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
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
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
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
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:
NEED HELP FAST PLEASE!
Answer:
is c because i had that problem already
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]
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
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.
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..
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:
Plz help its really urgent!!
Answer:
3)0.4 and 1.8
Step-by-step explanation:
:):):):):):):);):):)
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)
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.
Side lengths: 24 in, 30 in, and 36 in
Volume of this is 25920 inches cubed
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
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!
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
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%
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
Write a equivalent expression for (4n + 14) + (5 + 8n)
Answer:
= 12n + 19
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.
which graph is correct for the equation
Answer:
I think the answer is C.
Step-by-step explanation:
Please help it’s geometry! I’ll make brainliest
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:
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:
Can you please help me!
Answer:
16
Step-by-step explanation:
Pythagoras theorem was used