Answer:
total profit = $2,023,338,517 (nearest whole number)
Step-by-step explanation:
Use geometric sum formula:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
where [tex]a[/tex] is the initial value and [tex]r[/tex] is the common ratio
We have been told that the initial value is 171000, so [tex]a=171000[/tex].
If the company's profit increases by 33% per year, this means each year's profit is 133% of the previous year's profit. 133% = 133/100 = 1.33
Therefore, [tex]r = 1.33[/tex]
We need to calculate the total profit earned over 29 years, so [tex]n = 29[/tex]
Inputting these values into the formula:
[tex]\implies S_{29}=\dfrac{171000(1-1.33^{29})}{1-1.33}=\$2,023,338,517 \ \textsf{(nearest whole number)}[/tex]
Triangle ABC has angle measures of 110°, 35°, and 35°. How should this triangle be classified?
A. acute
B. right
C. obtuse
Answer: C. Obtuse
Step-by-step explanation:
It is an obtuse triangle because one angle (the one which measures 110 degrees) is obtuse - it's greater than 90 degrees.
Question 1
a) A racing car drives in a distance of 60km for 120 minutes on average ,how long will it take the same car to travel a distance of 12km ?
(show all your working)
b) Simplify using estimations
5.6 + 1.2(3)
c) 3 sisters Mpho(16), Mphonyane(24) and Mphononyane(32) share R1980 according to their ages.How much will Mphonyane receive ?
(show all your working)
please help!
Answer:
a. 60km/2hours =30km per hour. 12/30=0.4 hours. 24 minutes
Step-by-step explanation:
Please help me to solve this problem
2q+2q-q
Answer:
[tex]3q[/tex]
Step-by-step explanation:
Hi there,
2q + 2q =4q
From 4q we reduce q which results in :
[tex]3q[/tex]
Mark me as brainliest.
Answer:
3q
Step-by-step explanation:
combine like terms
2q+2q = 4q
4q-q = 3q
What is the slope??? Please show step by step!!
Answer:
In order to find the slope, we would need to format the coordinates like rise over run (y/x)
We find two points, (-6, 12) and (-5, 14)
Now we subtract the y coordinates from each other and do the same for the x coordinates
14 and 12 are our y coordinates so that will be our rise
-5 and -6 are x coordinates so that will be our run
14 - 12 2
_______ = ______
-5 - (-6) 1
2 is the slope
HELP ME PLEASEE!!
In the figure, AB is a perpendicular bisector of CD. Find the value of x.
Answer:
X = 5
Step-by-step explanation:
2x + 3 = 5x - 12
3 + 12 = 5x - 2x
15 = 3x
x = 15/3
x = 5
A pole that is 3.3m tall casts a shadow that is 1.44m long. At the same time, a nearby building casts a shadow that is 47.75m long. How tall is the building? Round your answer to the nearest meter.
Answer:
20.8 would be the answer
Step-by-step explanation:
I find the value of X and the measurement of DAB
Answer: What is the measure of ∠ DAB?
And we get that the measure of angle is 32 degrees.
Step-by-step explanation:
Which table shows a proportional relationship between x and y?
4
7
8
10
O
2
3.5
4
y
5
2
х
4
7
8
O
6
у
10
21
24
х
1
2
4
3
o
00
6
8
10
12
y
40
50
60
X
90
O
8
10
14
y
18
Answer: A
Step-by-step explanation:
Each y value is half of the x value.
A shop owner gave a 25% discount off the regular price of a table. The amount of the discount is $5.
What was the regular price of the mirror? (before discount)
Answer:
$20
Step-by-step explanation:
let the regular price of the mirror be 'x'
x*25/100=5
25x/100=5
cross multiply
25x=500
divide both sides by 25
x=$20
A box of Bleu cheese was received at 8 a.m. It sat on the dock until 9 a.m., when it was placed in a refrigerator. At 11 a.m., a foodhandler removed the cheese from the refrigerator and placed it on the counter, where it sat until 2 p.m., when it was returned to the refrigerator. It was removed later at 6 p.m., where it sat on the counter again until 10 p.m. When did the cheese become unsafe?
Answer:
At 2pm
Step-by-step explanation:
please i neeeeeeeed help
The value of m, as a fraction in the given proportion is: 2/5.
What is Proportion?A proportion can be defined as an equation of two ratios that are equal to each other.
Given:
1/2 / 3/5 = 1/3 / m
Cross multiply
1/2 × m = 1/3 × 3/5
m/2 = 1/5
Cross multiply
5m = 2
m = 2/5
Therefore, the value of m, as a fraction in the given proportion is: 2/5.
Learn more about proportion on:
https://brainly.com/question/19994681
What are the 4 items needed to create a graph
and define them
Answer:
a paper a pencil a a person to drawl the lie
Anyone got the correct answer to this? Kinda stuck right now
Answer:
1/4
Step-by-step explanation:
i think
Brian drank 2 glasses of water and a half glass of orange juice. What percentage of
beverage consumption was from the orange juice?
15 is your percentage to the answer
Which linear function represents the line given by the point slope equation y - 2 - 4(x - 3)? O RX) - 6x 1 O Rx) = ax - 6 O P(x) = 4x - 14 O x) = 4x -10
Answer:
Use the given functions to set up and simplify O R X . y − 2 − 4 ( x − 3 ) = − 4 x + y + 10 O R X = − 4 x + y + 10
Step-by-step explanation:
√(11 +4 √7)
hi, brainly helper please solve this ASAP. Thank
Given that: √{11 + 4√(7)}
Let √{11 + 4√(7)} = √(x) + √(y)
Squaring on both sides then
= [√{11 + 4√(7)}]² = {√(x) + √(y)}²
= 11 + 4√(7) = x + y + 2√(xy)
= 11 + 2√(7 * 2²) = x + y + 2√(xy)
= 11 + 2√(7 * 2*2) = x + y + 2√(xy)
= 11 + 2√(7 * 4) = x + y + 2√(xy)
= 11 + 2√(28) = x + y + 2√(xy)
On comparing with both sides, we notice that:
⇛x + y = 11 →→→→Eqn(1)⇛2√(xy) = 2√(28)
⇛ xy = 28
We know that
(x-y)² = (x+y)² - 4xy
(x-y)² = (11)² - 4(28)
(x-y)² = (11*11) - 112
(x-y)² = 121 - 112
(x-y)² = 9
x - y = √(9)
x - y = √(3*3)
Therefore, x - y = 3 →→→→Eqn(2)On adding equation (1) and equation (2), we get
x + y = 11
(+) x - y = 3
_______
2x = 14
Shift the number 2 from LHS to RHS, changing it's sign.
⇛x = 14/2
⇛x = 7/1
Simplify the fraction to get the value of x.
Therefore, x = 7Now, substitute the value of x in equation (1) then
x + y = 11
⇛7 + y = 11
Shift the number 7 from LHS to RHS, changing it's sign.
⇛y = 11 - 7
Therefore, y = 4Now, we have: x = 7 and y = 4
So,
√(x) + √(y) = √(7) + √(4) = √(7) + √(2*2) √(7) + 2
(Or)
Short Method:√{11 + 4√(7)}
= √{11 + 2√(7*4)}
= √{11 + 2√(7)√(4)}
= √[{√(7)²} + {√(4)}² + 2√(7)√(4)
[since, (a+b)² = a² + 2ab + b²]
= √[{√(7) + √(4)}²]
= √(7) + √(4)
= √(7) + √(2*2)
Therefore, √{11 + 4√(7)} = √(7) + 2
Answer: Hence, the simplified form of √{11 + 4√(7)} is √(7) + 2
also read similar questions: Simplify: 3√4 508/1331 I am new in brainly. This is one of my homework assignment maths question.
https://brainly.com/question/26352309?/referrer
Please let me know if you have any other questions.
The solution √(11 +4 √7) is mathematically given as
x=4.64575131
What is the solution to the equation √(11 +4 √7)?Question Parameters:
√(11 +4 √7)
The question requires resolving the above expression and deciphering the solution
Generally, the equation is mathematically given as
x=√(11 +4 √7)
Hence
x=√(11 +4*2.64575131)
In conclusion, The resolution of the expression x=√(11 +4 √7) is
x=4.64575131
Read more about Arithmetic
https://brainly.com/question/22568180
At a high school, the probability that a student is a senior is 0.25. The
probability that a student plays a sport is 0.20. The probability that a student
is a senior and plays a sport is 0.08.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.32
• B. 0.25
• c. 0.08
• D. 0.17
Answer:
the answer is c. 0.08
Step-by-step explanation:
If the equation ar+b=cr + d has no solution, like in the example below, what must be true about a b c and d?
Answer:
See below.
Step-by-step explanation:
For an equation like [tex]\displaystyle \large{ar+b=cr+d}[/tex] to have no solution, the equation has to be false.
To make an equation false, we let a = c. That’d make a and c have same value, when we transport cr to subtract ar, we’ll get 0.
So if a = c, the equation is [tex]\displaystyle \large{b=d}[/tex] now that we have b = d. The equation has to be false to have no solutions, hence b and d must not equal to one another.
Summary
When a = c, the new equation is b = d as ar and cr having same value, when subtracted, the remain is 0+b=d.b = d means that the value of b and d are equal but that makes the solutions to be infinitely many. Therefore, we cannot let b = d.From second, b ≠ d.a = c but b ≠ dLet me know if you have any questions regarding this question or for clarification.
Match the graph with the correct set of equations for the linear system. Then, classify the system as Consistent and Dependent, Consistent and Independent, or Inconsistent. (You should have two answers selected)
Answer:
Consistent independent
x + y = 0 and -x + y = -8
Step-by-step explanation:
Inconsistent: parallel lines, no solutions
Consistent dependent: same line, infinite solutions
Consistent independent: intersects at one point, one solution
Therefore, the pair of lines are Consistent independent
From inspection of the diagram:
One line has a negative slope and the other a positive slope.
One has a y-intercept of 0 and the other a y-intercept of -8.
Therefore, the solution is x + y = 0 and -x + y = -8
Because:
x + y = 0 ⇒ y = -x (neg slope, y-intercept of 0)
-x + y = -8 ⇒ y = x - 8 (pos slope, y-interecept at -8)
If you spin the spinner 3 times
how many times are you likely to
land on blue?
W/2+14=20 whats the W in this problem
w = ???
no links
Hi! Hope you are having a great day!
[tex]\displaystyle\frac{w}{2} +14=20[/tex]Step number 1: Move 14 to the right:
[tex]\displaystyle\frac{w}{2} =20-14[/tex]
[tex]\displaystyle\frac{w}{2} =6[/tex]
Now, multiply both sides by 2:
[tex]\fbox{w=12}[/tex] (Answer)
Hope it helps!
[tex]\rm{Stargazing{\tt{WithJoy:D}[/tex]
Answer:
W = 12Step-by-step explanation:
[tex]\sf\:\frac{W}{2} + 14 = 20\\\sf\:\frac{W}{2} + \frac{14 * 2}{1 * 2} = 20\\\sf\:\frac{W}{2} + \frac{28}{2} = 20\\\sf\:\frac{W + 28}{2} = 20\\\sf\:W + 28 = 20*2\\\sf\:W + 28 = 40\\\sf\:W = 40 - 28\\\boxed{\bf\:W = 12}[/tex]
Steps:
Find the LCM so that the denominator of W/2 & 14 is the same (LCM = 2)Now, add the 2 numbers in the LHS.Bring 2 to the RHS & multiply it with 20.Bring 28 to the RHS.By completing these steos, we'll get the value of W as 12.____________
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]
Help me ( brainless
Find the product of the sum of 57 and 16 and the difference of 61 and 31
Step-by-step explanation:
???
what is the problem ? you don't know how to add, subtract or multiply yet ?
sum of 57 and 16 : 57 + 16 = 73
difference of 61 and 31 : 61 - 31 = 30
the product of the sum and the difference :
73 × 30 = 2190
Which equation best describes the law of conservation of momentum?
O pi=PF
Op;>P
Op;
Answer:
Pi=Pf
Step-by-step explanation:
that's the equation for the law
Answer:
pi = pf
Explanation:
The law of conservation of momentum states that in any isolated system (=no external forces acting on it), the total momentum is conserved. This is also valid, for example, for a system consisting of many particles colliding with each other: during each collision between two particles, the total momentum of the two particles is always conserved, even if the momentum of each particle
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What is -4 x 3, 3 x -4, and 5 x -4
Answer:
Each answer is negative
Each equation has a four within it, either negative or positive
Step-by-step explanation:
-4x3=-12
3x-4=-12
5x-4=-20
Which is the solution to the inequality?
y + 15 <3
A) y <-12
B) y>-12
C) y <18
D) y> 18
Answer: A
Step-by-step explanation:
Subtract 15 from both sides,
y < -12
Is a perpendicular bisector the same thing as a median
Answer:
A Line which passes through the mid-point of a segment and is perpendicular on the segment is called the perpendicular bisector of the segment.
Segment joining a vertex to the mid-point of opposite side is called a median.
Step-by-step explanation:
What percent of 650 is 2?
I know the answer I just want the process
Step-by-step explanation:
100% = 650
1% = 100%/100 = 650/100 = 6.5
so, how often does 1% fit into the specified quantity ?
2 / 6.5 = 0.307692308...%
in short you could also just calculate
100 × 2/650
Is 12 x 2-5/6 greater than, less than or equal to
Answer: 5/6 will be greater than 5/8.
Step-by-step explanation:
what is the slope intercept for this line?
Answer:
-3
Step-by-step explanation:
go DOWN 3 and side 1 so -3/1 or -3
