The mean age of 5 people in a room is 31 years.
A person enters the room.
The mean age is now 30.
What is the age of the person who entered the room?
Answer:
25 year
Step-by-step explanation:
Mean = sum/no. *of observations
Initially, number of people = 5 & let the sum of their ages be S.
=> 31 = S/5
=> 155 = S
When one more entered, number = 6. Let his age be 'a'.
Sum of ages = S + a = 155 + a
=> 30 = (155 + a)/6
=> 180 = 155 + a
=> 25 = a
Please help!!! I will fail!! I will mark you brainliest!
Lucas is selling ribbons to raise money for the Juvenile Diabetes Research Foundation. His expenses include $46 for materials, plus $0.02 per ribbon. If Lucas charges $0.25 per ribbon, how many ribbons does he need to sell to break even? Write a system of equations that represents the situation. Let x represent the number of ribbons, and let y represent the expense or revenue. Solve the system of equations.
Answer:
He needs to sell 200 ribbons to break even.
Step-by-step explanation:
The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:
46+0.02x=0.25x
Now, you can solve for x to find the answer:
46=0.25x-0.02x
46=0.23x
x=46/0.23
x=200
According to this, the answer is that he needs to sell 200 ribbons to break even.
b/12 = 5; b = 60 pls. Help by step please
Answer:
B=60
B divided by 12
60 divided by 12
60/12
12x5=60
60/12=5
Step-by-step explanation: took test
cubed root of 1080 in simplest radical form
What is the equation of the graph below?
А
y = 2(x + 4)2 – 2
B
y = (x – 4)2 – 2
C y = 2(x - 4)2 – 2
D
y = 2(x – 4)2 + 4
Answer:
f(x) = 1(x - 4)^2 - 2
Step-by-step explanation:
Recall that the vertex form of the equation of a parabola is
f(x) = a(x - h)^2 + k, where (h, k) is the vertex and a is a scale factor which stretches or compresses the graph vertically.
Looking carefully at the graph, we see that h must be 4 and k must be -2.
Thus, the equation of this parabola is f(x) = 1(x - 4)^2 - 2 (which matches Answer B)
Tell whether the triangle is a right triangle. Show Work.
Answer:
if the angle is the same as a corner of a square it is a right angle
Step-by-step explanation:
Which expression represents the second partial sum for...?
Answer:
c
Step-by-step explanation:
just took the quiz
Answer:
C
Step-by-step explanation:
Edge2021
Help me? I’m giving brain
Answer:
4.31 as said
Step-by-step explanation:
Answer:
it could be 4.30 because when u divide those two the answer is 4.3057142857, and because the number in the hundreths place is just a 0 its probably just 4.30 i could be wrong sorry
Find the slope for the line that runs through points (2,5) and (-3, 7). Write your answer as a fraction using the slash as your fraction bar.
A) 2/5
B) 5/2
C) -2/5
D) -5/2
Answer:
c.
Step-by-step explanation:
5-7 = -2
2 - -3=5
-2/5
1\2+ 1/4 rasultado y explicasion
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Simplemente agregue usando la calculadora y debería obtener esta respuesta. ;)
2. Find the slope and the y-intercept
of the graph of the linear equation
y = 1/8x + 3
A) Slope: 8; y-intercept: 3
B) Slope: 1/3; y- intercept: 1/8
C) Slope: 1; y-intercept: 1/8
8
D) Slope: 1/8; y-intercept: 3
Answer:
D) Slope: 1/8; y-intercept: 3
Step-by-step explanation:
An equation in the form y = mx + b has certain characteristics that help us determine the slope and y-intercept of the line easily.
The variable "m" gives us the slope of the line, while the variable "b" gives us the y-intercept of the line.
Taking y = 1/8x + 3, we can see that the m-value is 1/8 and the b-value is 3.
Therefore, the slope of this line is 1/8 and the y-intercept is 3.
The answer is D) Slope: 1/8; y-intercept: 3.
Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
Answer:
3.8 months
Step-by-step explanation:
Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
First step! What is 5.3% of 36k?
1,908
Second Step! Divide
51,800/1,908= 27.1488469602
Third Step! Round
27.1488469602= 27.1
27.1 weeks.
7 weeks in a month.
12 months in a year.
27.1/7= 3.8
3.8 months
The number of years for the amount of compound interest to reach $51,800 is given by b = 7 years
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the number years be represented as b
where the amount after b years is = $ 51,800
The initial principal amount P = $ 36,000
The number of times the compound interest is applied = quarterly = 4
Now , the equation is
A = P ( 1 + r/n )ⁿᵇ
On solving for the number of years b , we get
b = ln ( A / P ) / n [ ln ( 1 + r/n ) ]
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln ( 1 + 0.053/4 ) ] )
On further simplification , we get
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln (1 + 0.01325 ) ] )
b = 6.911 years
On rounding to the nearest year , we get
b = 7 years
Therefore , the value of b is 7 years
Hence , the number of years is 7 years
To learn more about compound interest click :
https://brainly.com/question/21270833
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1. What is the first step
in solving equations?
Answer:
Read and highlight the problem
Step-by-step explanation:
Answer:reading the problem and looking for key words to help you solve the answer
Step-by-step explanation:
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary
How many terms can 5x+9-4b have
Answer:
8x
Step-by-step explanation:
The constants are the numbers that are NOT
attached to anything. In the expression, 3x + 2,
(2) is a constant because it is not attached to
anything. The (3) is not a constant because it
is attached to x, and it is actually a coefficient.
Alexander is going to invest $1,900 and leave it in an
account for 7 years. Assuming the interest is
compounded monthly, what interest rate, to the nearest
tenth of a percent, would be required in order for
Alexander to end up with $3,100?
3,100= 1,900 +84x
right since 84 months in 7 years
so 14.3% right?
Solve by factoring.
x2-49 = 0
X=
Answer: Ok so just remember
difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
(x)^2-(7)^2=(x-7)(x+7)
set to zero
x-7=0
x=7
x+7=0
x=-7
x=-7 or 7
Hope this helps have a awesome night/day❤️✨
Step-by-step explanation:
how long will it take you and 4 friends to paint the fence?
Answer:
Check pdf
Step-by-step explanation:
Can someone help me with this geometry question
Answer:
C. Rectangle that isn't a square
Fill in the blank with the correct word(s) to complete the sentence.
A cube is a three-dimensional figure with six square faces that are ______.
A.
congruent
B.
height
C.
pattern
D.
length
The first person to answer gets a BRAINLEST :))))))))
Answer:
congruent
..............
A spinner with sections Red, Blue, Yellow, and Green is spun 3 times. What is the probability that it will land on yellow all 3 times?
Answer: 1/64
Step-by-step explanation:
1/4 to land on Yellow
We do it 3 times
1/4 x 1/4 x 1/4 = 1 /64 =0.015625
Plz help due tomorrow iff correct ill give brailiest
Answer:
so d = 43
and the answer to the question is divide
A specialty running shoe shop has a markup of
45% on the wholesale price of its shoes. The
wholesale price of a given pair of shoes is $65.
Answer:
65 x 1.45= 94.25
..........
4.6 isosceles and Equilateral triangles
Answer:
Step-by-step explanation:
5555
The red arcs mean those angles are the same.
When two angles are the same the corresponding sides are also the same.
5. X = 8
6. X = 11
7. 2x-16 = 8
Add 16 to both sides:
2x = 24
Divide both sides by 2:
X = 12
8. X + 19 = 8
Subtract 19 from both sides:
X = -11
A motorist is pumping gas into his car at a rate of StartFraction 5 over 12 EndFraction of a gallon every StartFraction 1 over 24 EndFraction of a minute. At this rate, how many gallons of gas will he have pumped into his car in One-half of a minute?
1
5
10
20
it is 5
Step-by-step explanation:
I dont want to use the calc or use my brain bc im lazy. 3 (6) + 4 (2)^3 - 5
Answer:
33
Step-by-step explanation:
Ariane borrows $300 on a 5−year loan. She is charged 5% simple interest per year. How much interest is she charged for 5 years? What is the total amount she has to pay back?
Answer:
Interest = $75
Total to pay back = $375
Step-by-step explanation:
The total amount she will have to pay back is found by the formula:
= Amount borrowed * (1 + rate * years)
= 300 * ( 1 + 5% * 5)
= $375
The interest is therefore:
= Amount to be paid back - Amount borrowed
= 375 - 300
= $75
Which theoretical probabilities are equal to 1/3? Check all that apply.
rolling an even number on the first roll
landing on a star space on the first roll
landing at Cat Town on the first roll
not landing on a question mark or star on the first roll
rolling a number greater than 4 on the first roll
Answer:
2/6, 4/12, 8/24, 16/48
Step-by-step explanation:
2/6, 4/12, 8/24, 16/ 48.
Answer:
Its B,C,D
Step-by-step explanation:
Welcome :3<3Byeeeeee
On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (negative 5, 8), has a vertex at (negative 3, 4), and goes through (negative 1, 8).
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?
left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4
Answer:
A
Step-by-step explanation:
Edge 2021
Answer:
A. left 3, up 4
Step-by-step explanation:
Doing it on EDG right now!
Good luck to yalls :)
Please help me please omggg