Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.
Suppose that a department contains 7 men and 15 women. How many ways are there to form a committee with six members if it must have more women than men
Answer:
7502040
Step-by-step explanation:
you can have 6 women,5 women and 1 men,4 women and 2 men,
in first case,you can place women in 15*14*13*12*11*10 ways
in second case
15*14*13*12*11*7
and in third case
15*14*13*12*7*6
and you need to sum all this numbers
Use the binomial formula to find the coefficient of the q^4 p^17
term in the expansion of (29+p)^21
Recal the binomial theorem:
[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]
Then
[tex]\displaystyle (2q+p)^{21} = \sum_{k=0}^{21} \binom{21}k (2q)^{21-k} p^k = \sum_{k=0}^{21} \binom{21}k 2^{21-k} q^{21-k} p^k[/tex]
We get the q⁴p¹⁷ term when k = 17, and its coefficient would be
[tex]\dbinom{21}{17} 2^{21-17} = \dfrac{21!}{17!(21-17)!} 2^4 = \dfrac{21\cdot20\cdot19\cdot18}{4\cdot3\cdot2\cdot1}\cdot2^4 = \boxed{95,760}[/tex]
A retirement account was opened with a $900 deposit. If the account earns 4.25% interest compounded continuously and has no other deposits or withdrawals, how long will it take the value to double?
It will take 16.66years long for the money to double
The formula for calculating the compound amount is expressed as:
A = P(1+r)^t
A is the amount after t years = 2(900) = $1800P is the amount invested = $900r is the rate in decimal = 4.25% = 0.0425Substitute into the formula to have:
1800 = 900(1+0.0425)^t
2 =(1+0.0425)^t
2 = 1.0425^t
ln2 = tln1.0425
t = ln2/ln1.0425
t = 0.6931/0.0416
t = 16.66years
This shows that it will take 16.66years long for the money to double
Learn more on compound interest here: https://brainly.com/question/18483293
300 x 47 explain please
Answer:
I think u mean to just multiply 300 * 47 would equal 14,100
300
x 47
7*0 = 0 7*3=21 so 2,100
40*0 = 0 since 40 has a 4 you can take 4*3 and put a 0 on the end 4*3= 12 so 40*3= 120 so with so with the bonus 0's it would be 12,000
12,000
+ 2,100
14,100 so that means
300
x 47
14,100
PLEASE HELP THIS IS DUE TOMORROW
Answer:
Step-by-step explanation:
Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а
Answer:
A≈ 268.76 sq cm.
Step-by-step explanation:
sine 27 = opposite side/hypotenuse
sine 27 = x/40
sin 27(40) = x
18.15961999 =x
18.16 = x
A = 1/2(29.6)(18.1596199)
A = 268.7623759
A≈ 268.76 sq cm.
three are 6 blades on each windmill. how many total blades are on 7 windmills? use a fives fact to solve
Answer: 42 I think
Step-by-step explanation:
I did 6 times 7
An operation is defined as p*q=-5q+p2 evaluate. 2*(7*3)
Answer:
- 166
Step-by-step explanation:
First step is to evaluate 7*3
7*3 ( with p = 7 and q = 3 )
= - 5(3) + 7²
= - 15 + 49
= 34
Now evaluate
2*34 ( with p = 2 and q = 34 )
= - 5(34) + 2²
= - 170 + 4
= - 166
What is the slope in the equation y = 2/5x - 6?
Answer:
2/5
Step-by-step explanation:
y=2/5x-6
m=2/5
y=mx+b
Slope: 2/5
y-intercept: 6
Step-by-step explanation:
Just Did Now, Am not Really good at asking questions
i don't know what this is
Answer:
Me U Hungry Hungry Me Im Mad Me U Angry Me U Way Mad U Talk Mad Me Angry U:(
Step-by-step explanation:
False
True
Ture
False
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Give the simplified radical form for each side length requested.
Pls answer only if you can explain and if your sure it’s the right answer.
I need help in understanding how to work it myself so please make sure you explain well.
Answer:
See belowStep-by-step explanation:
30×60×90 right triangle has side ratios as:
s : l : h = 1 : √3 : 2, where s- short leg, l - long leg, h - hypotenuse45×45×90 right triangle has side ratios as:
l : l : h = 1 : 1 : √2, where l- legs, h- hypotenuseIf you know one of the sides its easy to find the missing ones.
a) 30×60×90 right triangle
Given l = 12s : 12 : h = 1 : √3 : 2CB = s = 12 / √3 = 12√3/3 = 4√3 AB = h = 2s = 2*4√3 = 8√3b) 45×45×90 right triangle
Given l = √22BC = l = √22AB = l√2 = √22×√2= √44 = 2√11c) 30×60×90 right triangle
Given h = 20√6s : l : 20√6 = 1 : √3 : 2BC = s = h/2 = 20√6/2 = 10√6AC = l = s√3 = 10√6×√3 = 10√18 = 10×3√2 = 30√2Someone, please help me with this MATH question.
Answer:
A
Step-by-step explanation:
what is the solution of the equation 9x+12=39
Answer:
X=3
Step-by-step explanation:
because 39-12=27 and 9x3=27 and 27+12=39
Answer:
x=3
Step-by-step explanation:
9x+12=39
9x=27
x=3
What is the slope for this table?
9 is what percent of 45?
Answer:
20%
Step-by-step explanation:
9/45 = 0.2
0.2*100 = 20
train tickets cost $48 for adults and $32 for children there are 27 adults and 55 children on the train how much did the passengers pay to ride the train
please help me with this soon much appreciated.
Answer:
1 : 2
Step-by-step explanation:
this is a 30-60-90 triangle which is a special right triangle. the ratio of the sides is x: x*sqrt(3): 2x, in the order short leg: long leg: hypotenuse. so the ratio of the short leg to the hypotenuse is x:2x or 1:2
if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75
Answer:
$1.75Step-by-step explanation:
if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75
2m = 200 cm
200 : 10 = 35 : x
x = 10 * 35 : 200
x = 1.75
look at the screenshots please and thank you I really don't understand it please I need help with this
Answer:
1. 2/9
2. 3/7
3. 1/5
Step-by-step explanation:
For each graph look at where the line comes to a point and look at first the y coordinate, then the x coordinate, the answer should be y / x for that graph. My class was recently going over this so I know this for sure.
Tell me if I'm wrong :)
carly and four friends went to dinner at a restaurant. Carly paid $180 to cover the cost of everyone's dinner. Each persons meal cost the same amount. How much did each meal cost
4. Elie took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each. How much did she have left at the end of the trip?
Answer:
$16
Step-by-step explanation:
32×5=160
6×4=24
160+24=184
200-184=16
Elie was left with $16 at the end of the trip
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.
Assume that she is left with $[x]. Then, we can write the equation as -
x = 200 - {(32 x 5) + (6 x 4)}
x = 200 - {160 + 24}
x = 200 - 184
x = 16
Therefore, Elie was left with $16 at the end of the trip.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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find 50% of 20
Find the answer I need it for Get More Math
Answer:
10
Step-by-step explanation:
1/2 of 20 is 10
Answer:
10
Step-by-step explanation:
What is the solution to the system of equations?
y = 2x -1
y = -x +5
x= −2 and y=3
I can't explain this very well, sorry.
Solve for s.
s
4
− 2
= 2
s =
Answer:
is 2
Step-by-step explanation:
is 2 why yes
During a recent rainstorm, 8 centimeters of rain fell in Dubaku's hometown, and 2.362, points, 36 centimeters of rain fell in Elliot's hometown. During the same storm, 15.1915, point, 19 centimeters of snow fell in Alperen's hometown.
How much more rain fell in Dubaku's town than in Elliot's town?
centimeters
Answer:
Hence, 5.64 centimeters of more rain fell in Dubaku's town than in Elliot's town.
Step-by-step explanation:
The amount of rain that fell in Dubaku's hometown is: 8 centimeters.
Amount of rain that fell in Elliot's hometown is: 2.36 centimeters.
We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:
Difference in rain= 8-2.36
Difference in rain= 5.64 centimeters.
radius of a circle with 11,304 circuference
Answer:
1799.08748
Rounded version: 1799
Step-by-step explanation:
Report me if its wrong mark me Brianliest if its right.
PLSSSSSSS HELPPPPPPPP ASAPPPP
Answer:
Answer should be choice 4
Step-by-step explanation:
Simplify the expression.
Answer:
[tex]21x^{2}[/tex]
Step-by-step explanation:
It would be 3x*7x
3x*7x
=21x*x
=[tex]21x^{2}[/tex]
Answer:
21x^2 ( twenty-one x squared)
Step-by-step explanation:
Please help me asap
DO NOT USE LINKS
(9u+w)^2
(use foil).................
Answer:
Step-by-step explanation:
(9u + w)(9u + w)
f: 9u * 9u = 81 u^2
o: 9u * w
i: 9u* w
l: w * w = w^2
Result
81u^2 + 9uw + 9uw + w^2
81u^2 + 18uw + w^2