8 men can complete the project in 24 days in how many days 12 men can complete the same project
Answer:
16days
Step-by-step explanation:
This is an inverse proportionality
Let the number of men be m
Let the time taken in days be d
Hence m ∝ 1/d
m = k/d
If 8 men can complete the project in 24 days, then;
8 = k/24
k = 8*24
k = 192
To determine the time it will take 12 men to complete the same job, we will say;
m = k/d
12 = 192/d
d = 192/12
d = 16
Hence it will take 12men 16days to finish the same job
Suppose Huang invests $720 into an annuity every month for five years. At the end of five years, the account has a balance
of $50,000. How much of this balance is interest?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answer:
$6,800
Step-by-step explanation:
The interest earn after 5 years will be $6800.
It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.
We have to find out the interest earn.
What do you mean by interest ?
Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.
As per the question ;
Investment made by Huang = $720 for five years
At end of five years , account balance = $50000.
So ;
Five years = 60 months
and the investment is an annuity every month for five years.
If Huang invests $720 every month for 5 years then total investment is ;
= $720 × 60
= $43200
And account balance at end of 5 years = $ 50000
So ;
Interest earn will be ;
= $50000 - $43200
= $6800
Thus , the interest earn after 5 years will be $6800.
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mrs shalini asked her students to draw pictures of their home. 17/30 used color pencils and 11/30 used crayons for coloring. what fraction of the class used either color pencils or crayons?
Answer:
23/25 of the class used either color pencils or crayons
Step-by-step explanation:
56% used color pencils
36% used crayons
36% + 56% = 92%
turn 92% into a fraction = 92/100
simplify = 23/25
What is the slope of the line through (-1, 8) (3, -4)
Answer:
D. -3
Step-by-step explanation:
Cecilia invested 12,500 in an account that compounds quarterly at 2%. How much money is in her account after 4 years
6 persent
75,000 infour year's
follow me
nice study
I think 22400 mainly because i did the calculation
12500 * .2 4 times and got that answer.
Can someone please give me this answer to question 3 please
Answer:
kurt
Step-by-step explanation:
The population of a city decreases by 4% per year. If this year's population is 171,000, what will next year's population be, to the nearest individual?
What is the value of x in trapezoid ABCD?
Answer:
15
Step-by-step explanation:
Find the area of the square.
A =
m4
2
In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt
9514 1404 393
Answer:
$12 for each shirt
Step-by-step explanation:
If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...
6s +3t -79.50 = 0
3s +2t -41.00 = 0
The solution for s can be found using the "cross multiplication" technique.
Differences of products can be formed:
d1 = (6)(2) -(3)(3) = 3
d2 = (3)(-41) -(2)(-79.50) = 36
Then we have ...
1/d1 = s/d2 ⇒ s = d2/d1 = 36/3 = 12
The cost of each shirt is $12.00.
___
2 ties cost 41-36 = 5, so each one is $2.50.
_____
Additional comment
The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.
This method solves the general-form equations ...
ax +by +c = 0dx +ey +g = 0by considering the two rows of coefficients:
a, b, c, ad, e, g, dThen differences of cross-products are formed in adjacent columns:
d1 = ae -db
d2 = bg -ec
d3 = cd -ga
The solutions are ...
1/d1 = x/d2 = y/d3 ⇒ x = d2/d1, y = d3/d1
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
Just click an x on the graph for each number in the chart.
1/4 would have 4 x's
2/4 would have 2 x's
3/4 would have 1 x
1 would have 2 x's
The length, 1, of a wheelchair ramp is 3 more than 11
width, w. Which equation represents the relationship between
the length and the width of the ramp?
Answer: the length is 8
Step-by-step explanation: Because 11 minus 8 is 3
HELP ASAP!!!!!. A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12
Answer:
9
Step-by-step explanation:
you would do 3+3+3 because there are 3 colors
And i just got it right on my quiz.
There will be 9 branches in the tree diagram of the situation.
What is tree diagram?In probability theory, tree diagrams can be used to represent probability spaces. A tree diagram can represent a set of independent events or conditional probabilities. Each node in the graph represents an event and is associated with the probability of that event.
Given,
A spinner of three sections colored green, purple and pink.
Number of outcomes = 3
spinner is spun twice,
then number of outcomes = 3 × 3 = 9
Number of branches in tree = 9
Hence, 9 branches will be there in probability tree diagram.
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Help please question in picture
Answer:
220
Step-by-step explanation:
Area of square=8*20=160
Area of triangle=(6*20)/2=60
160+60
Answer:
220 units²
I'm sure this is the answer!
Tom works at an aquarium shop cleaning reef tanks. His job is to drain the tank. How much water is initally in
the tank before he starts to drain it?
Time (minutes)
Amount of Water
1
150
3
100
6
25
There are 175 cubic unit initially in the tank
How to determine the initial amount of water?The table of values is given as:
Time (minutes) Amount of Water
1 150
3 100
6 25
Calculate the slope (m) of the table using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (100 - 150)/(3 -1)
Evaluate
m = -25
This means that as the time increases by 1, the amount of the water reduces by 25 cubic unit
When x = 1, y = 150
So, we have:
x = 1 - 1 when y = 150 - (-25)
This gives
x = 0 when y = 175
Hence, there are 175 cubic unit initially in the tank
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A fish aquarium is 3 ft long, 2 ft wide, and 2 ft high. What is the volume of the aquarium?
ANSWER ASAP I DONT HAVE MUCH TIME
Please helppppppppppp
Answer:
Shredders. Paper shredders can help you effectively dispose of sensitive documents and protect your personal information, whether at home or in the office.
Step-by-step explanation:
Answer:
Can you give us the drop down answers?
Step-by-step explanation:
What is the equation of the line that is the perpendicular bisector of the segment
with (10,-15) and (-10, 25) as endpoints?
y= kx + 10
y= kx + 5
y= -x + 10
y = 2x + 5
Answer:
y= kx + 5Step-by-step explanation:
Perpendicular bisector passes through the midpoint of the line.
The midpoint is:
x = (10 - 10)/2 = 0y = (-15 + 25)/2 = 5Slope of the line:
m = (25 - (-15))/(-10 - 10) = -2The line perpendicular to this has to have a slope of 1/2 as perpendicular lines have opposite-reciprocal slopes.
Use point-slope form and point (0, 5) to find the equation of the line:
y - 5 = 1/2(x - 0)y = 1/2x + 5Correct option seem B as others don't match ours
PLS HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.
Write a question that could be answered by solving the equation 10−0.035d=4.
Answer:
By solving this equation for the variable ' d ', you learn how many days after you fill the tank you'll have to send somebody back to fill it again.
Step-by-step explanation:
I would appreciate if someone could help me with this problem and answer it I will give you a brainlist :)
what is the answer to these questions?
The Northwood Clock Tower measures 193 meters tall. Dante is creating a scale model of this building using the scale 75 meters : 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Step-by-step explanation:
Height of real/height of scale=ratio of scale
193/x=75/1
x=2.6
Hope that helps :)
Find the missing measures using trig
Answer:
Step-by-step explanation:
answer (10-4)x4+8 and i will give u brainlyest and 100pts :>>
Answer:
(10-4)*4+8
=6*4+8
=24+8
=32
Answer:
32
Step-by-step explanation:
Following PEMDAS we first do the stuff in the parentheses and we get [tex]6x4+8[/tex]
Then since there are no exponents, we go straight to doing the multiplication and division, which leaves us with [tex]24+8[/tex].
Finally when we add the last 2 terms together we get our answer of 32.
Hope this helps!
Cell phone Plan A costs$70 per month and comes with a free$500 phone. Cell phone Plan Bcosts$50 per month but does not come with a phone. If you buy the$500 phone and choose Plan B, how many months is ituntil your cost is the same as Plan A's?
Answer:
7.8 months but you can round it to 8 months
Step-by-step explanation:
A jacket was originally $284. It is discounted 20%, but doesn’t sell, so it is discounted again by 20% off the sale price. Finally, after sitting in the store for 6 months, it is marked as clearance, at 50% of the lowest sale price. What is the clearance price of the jacket?
Pls help ignore my answers :v.
so u r already finished? don't post it next time
The mathematics faculty at a college consists of 7 professors, 4 associate professors, 4 assistant professors, and 6 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
Answer:
0.619 = 61.9% probability of choosing a professor or an instructor.
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
7 + 4 + 4 + 6 = 21 members
7 + 6 = 13 professors or instructors.
Find the probability of choosing a professor or an instructor.
p = 13/21 = 0.619
0.619 = 61.9% probability of choosing a professor or an instructor.
Please Help me Due in 2 Mins
For each ordered pair, determine whether it is a solution to y=6.
Answer:
yes
no
yes
no
if their is a 6 in the y spot of the coordinate than it is a yes