Answer:
h=8ft
Step-by-step explanation:
[tex]v = l \times w \times h[/tex]
[tex]h = \frac{v}{l \times v} = \frac{200}{5 \times 5} = 8[/tex]
help me moderate helping me
Problem 1
It's not clear if the person deposits at the start of the quarter, or at the end of the quarter. I'm going to assume they deposit at the end of the quarter. This means we go with an ordinary future value of annuity.
The formula we use is
F = P*( (1+i)^n - 1)/i
where,
F = future value of the accountP = payment per periodi = interest rate per periodn = number of periodsIn this case,
F = 300,000P = unknown, what we want to solve fori = 0.08/4 = 0.02n = 25*4 = 100 quarters (equivalent to 25 years)So,
F = P*( (1+i)^n - 1)/i
300,000 = P*( (1+0.02)^100 - 1)/0.02
300,000 = P*(312.232305912618)
P = (300,000)/(312.232305912618)
P = 960.823061288088
P = 960.82
You must deposit $960.82 per quarter
If you deposit that amount of money per quarter, for 100 quarters, then you deposited a total of 960.82*100 = 96,082 dollars in total.
The amount of interest is 300,000 - 96,082 = 203,918 dollars
============================================================
Problem 2
We use the same formula from problem 1. This time we know the periodic payment ($250 per month) and we want to find the value of F
More specifically, we have this given info:
P = 250i = 0.072/12 = 0.006n = 30*12 = 360 months (aka 30 years)So,
F = P*( (1+i)^n - 1)/i
F = 250*( (1+0.006)^360 - 1)/0.006
F = 317,306.360545277
F = 317,306.36
If you deposit $250 per month, for 360 months, then you'll have $317,306.36 in the account.
This includes interest. The total amount deposited, without interest involved, is 250*360 = 90,000 dollars.
Therefore, the amount of interest earned is 317,306.36 - 90,000 = 227,306.36 dollars.
The rectangular ground floor of a building has a perimeter of 780 ft. The length is 200 ft more than the width. Find the length and the width.
The length is ___ and the width is ___
Answer:
L = 295ft
W = 95ft
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
If the length is 200 ft more than the width, then:
L = 200+W
Substitute
P = 2(200+W+W)
780 = 2(200+2W)
780 = 400+4W
4W = 780-400
4w = 380
W = 380/4
W = 95ft
Since L = 200+w
L = 200+95
L = 295ft
(3√5 + 4√2)(√5 + √2）
Answer:
Step-by-step explanation:
3√5*√5+3√5*√2+ 4√2*√5+ 4√2*√2
15 +3√10 + 4√10 + 8
23+7√10
There are 3 urns A, B and C each containing a total of 10 marbles of which 2, 7 and 4 respectively are red. One of the urns is selected randomly and a marble is drawn from the selected urn. It is found that the marble is red. What is the probability that the red marble is taken from urn B
======================================================
Explanation:
We know that the marble selected is red, so we don't need to focus on the other colors.
7 red marbles are in urn B out of 2+7+4 = 13 total red marbles.
The probability the red marble came from urn B is therefore 7/13
If the radius of a sphere is halved, what happens to the volume of the sphere? Use your algebra skille te develop a formula for the reduced sphere, V, in terms of V.
Answer:
V₂ = V₁ / 8
Step-by-step explanation:
Volume of sphere with radius of 6 = 288π
Volume of sphere with radius of 3 = 36π
the difference in volume after radius is halved is reduced 8 times so formula could be:
V (when radius is halved) = prior volume ÷ 8
V₂ = V₁ / 8
Suppose that from a group of 9 men, 1 will be randomly chosen for a dangerous assignment, and suppose that the chosen man will be killed during the assignment with a probability of 1/6. If Mark is one of the 9 men, what is the probability that he will be chosen for the assignment and killed during the assignment
Answer:
1/54
Step-by-step explanation:
1/9 x 1/6
A mother has 6 sons
Each has a sister
How many people are in the family?
A:13.
B)8.
D)7.
C:14.
A. 13
Explanation= 6 (sons) +6 (daughters) +1 (mother) = 13.
(notes: as a father is not within the problem, there is no reason to be in the answer)
Answer:
B)8
A mother has 6 sons. If there is only one sister, than each son has a sister. Don't forget to add the mother. 6 + 1 + 1
Step-by-step explanation:
PLS HELP ASAP.!
THANK YOU, WILL MARK BRAINLIEST
Answer:
Explanation:
The volume of the triangular prism:
The base area of the prism = 1/2 x 4 x 6 = 12 ft2
Height = 6 ft
The volume of the triangular prism = 12 x 6 = 72 ft3
The volume of the rectangular prism:
The base area of the prism = 4 x 6 = 24 ft2
Height = 12 ft
The volume of the triangular prism = 12 x 24 = 288 ft3
Volume of the composite figure = (288 + 72)ft3 = 360 ft3
Step-by-step explanation:
The line on the graph passes through the points A (1, 3) and B (7, 1).
YA
a) Calculate the gradient of line AB.
b) Find the gradient of a line perpendicular
to AB.
+
A
D
c) Find the equation of the line passing
through point (4, 2) and perpendicular
to AB.
Answer:
Step-by-step explanation:
a) gradient of AB
or
Slope of AB
[tex]Slope , m = \frac{y_B - y_A}{x_B - x_A}[/tex]
[tex]=\frac{1 - 3 }{7 - 1 } \\\\=\frac{-2}{6}\\\\=-\frac{1}{3}[/tex]
b)
when lines are perpendicular to each other, the product of their slope = - 1
That is ,
[tex]m_{AB} \times m_{perpendicular} = - 1 \\\\- \frac{1}{3} \times m_{perpendicular} = - 1\\\\m_{perpendicular} = - 1 \times \frac{-3}{1} = 3[/tex]
c) Equation of the line perpendicular to line AB and passing through ( 4 , 2 )
[tex]( y - y_1) = m_{perpendicular} ( x - x_1) \ where \ (x_1 , y_ 1 ) = ( 4 , 2 ) \\\\( y - 2 ) = 3(x - 4 ) \\\\y = 3x - 12 + 2\\\\y = 3x - 10[/tex]
the fraction 6/10 is equivalent to which of the following? 12/24 or 24/40 or 3/6 or 16/20
Answer:
24/40
Step-by-step explanation:
You can multiply both the numerator and denominator by any number
Option #3: Lets multiply by 1/2 since when you multiply 6*1/2 it equals 3 and that is the same numerator as option #3 and so now let's do the same again to the denominator 10*1/2 equals 5 and that is NOT equal to 6 in the denominator for option #3 and you can't get 3 any other way than multiplying by 1/2 (same as *.5) and so it is wrong.
Now since we know how to do it I'll just do the math for the rest.
Option 1:
6/10
6*2/10*2
12/20 and that doesn't match so it's wrong.
Option 2:
6/10
6*4/10*4
=
24/40
It matches so it's correct let's try option 4 just to check.
Option 4:
6/10
6*2/10*2
12/20
that doesn't match so it's wrong (you could have tried multiplying by decimals by I doubt you are there to that kind of math yet.)
Answer: 24/40
A cube has side length x.
another side is doubled. The volume
One side of the cube is increased by 4 inches, and
of the new rectangular prism is 450 cubic inches. The equation 2x3 + 8x2 450
can be used to find x. What was the
side length of the original cube? Use a graphing calculator and a system of equations to find the answer.
• 4 inches
• 5 inches
• 9 inches
• 10 inches
Step-by-step explanation:
The length of the original cube is 5 inches.
What is 9+10-8(9)x2 using bedmas
-125
Step-by-step explanation:BEDMAS, like its counterpart BODMAS, is used as an acronym which gives the order of precedence of certain mathematical operations. It stands for:
B - Brackets
E - Exponentials
D - Division
M - Multiplication
A - Addition
S - Subtraction
This specifies the order in which arithmetic operations take place. That is brackets expressions should be solved first, followed by exponentials, then division and so on.
Using BEDMAS, let's solve 9+10-8(9)x2
Follow these steps;
i. Solve the bracket first.
9+10-72x2
ii. Next solve the multiplication
9+10-144
iii. Then solve the addition
19-144
iv. Now, the subtraction
-125
Therefore;
9+10-8(9)x2 = -125 using bedmas
Which of the following sets of data does not contain an outlier?
A.16, 17, 20, 19.48
B.59. 60. 61, 67.65
C.95.99.97.94.60
D.-1.2.1.0.5.16
Answer:
it is a letter b
Step-by-step explanation:
that does not contain an outlet
Solve for 5x + 11 ≤ 67 = ?
9I will give brainliest.)
Answer:
x ≤ 11.20
Step-by-step explanation:
solve it like a regular equation
5x ≤ 67 - 11
5x ≤ 56
x ≤ 11 1/5
x ≤ 11.20
How to solve this math question
Answer:
x = 16
y = 5
Step-by-step explanation:
The three sides of an equilateral triangle are equal. Therefore:
3x + 1 = 49
Solve for x.
3x + 1 - 1 = 49 - 1
3x = 48
3x/3 = 48/3
x = 16
Also
18y - 41 = 49
Solve for y.
18y - 41 + 41 = 49 + 41
18y = 90
18y/18 = 90/18
y = 5
Write (y^4)^2 without exponents
Answer:
y*y*y*y*y*y*y*y
Step-by-step explanation:
(y^4)^2 = y*y*y*y*y*y*y*y
Here the base (y) shows up as a multiplicand 8 times. (y*y*y*y)(y*y*y*y) is equivalent.
Answer:
[tex](y^{4} )^{2}[/tex]
[tex]y^{8}[/tex]
seems like a strange question to make it
harder to read... but with no exponents it would look like this
y*y*y*y*y*y*y*y
Step-by-step explanation:
Is 11/15 repeating? If not, how many places does it take to terminate?
Answer:
repeating due to the denominator
Step-by-step explanation:
11/15 = (11/5)×(1/3)
11/5 terminates after 1 place.
but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.
Số tiếp theo (next number?): 25 50 99 196 388
Answer:
The correct answer is - 768.
Step-by-step explanation:
The given question is based on a specific pattern present in between the numbers in the given series -
Series = 25 50 99 196 388
to find - next number in series
let us find the relation between the initial two number:
25 - 50, here number 50 is two times of 25 or (x*2-0)
relation between 2nd and 3rd number:
50 - 99, here 99 is two times of 50 minus 1 or (x*2-1)
relation between 3rd and 4th number:
99 - 196, here 196 is two times of 99 minus 2 or (x*2-2)
relation between 4th and 5th number:
196 - 388, here 388 is the two times of 196 minus 4 or (x*2-4)
So on this pattern, the next number would be = x*2-8
388*2-8
= 768
The net below has dimensions l = 14 feet, w = 7 feet, and h = 13 feet. How will the surface area of the figure change if the width decreases by 2 feet?
HELP PLSSS I CANT FAIL!!Which parent function is represented by the table?
ху
-22
-11
00
11
22
A. f(x) = |X|
B. f(x) = 2x
c. f(x) = x
D. f(x) = x2
Answer:
C. f(x)=|x|
Step-by-step explanation
Two straight lines denotes the mod which is a type of function which means it will always gives us a positive value (output) even on Nagative input, shown in the table, -2 2, -1 1, 0 0
For example,
|2|=2, |-2|=2
|1|=1
|-1|=1
I WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY FIRST
Answer:
2 liter = 2000 ml
2000/250 = 8 bottles Step-by-step explanation:
Solve the inequality: w - (14) < 8
[tex]w - (14) < 8 \\ = w < 8 + 14 \\ \\ w = < 22[/tex]
Step by Step Explanation:
Move the constant to the right - hand side and change its signThen add the numbers ☆彡Hanna#CarryOnLearning
we had a pot of tea. i drank 3/8 of the tea. after my father drank 2/3 of the remainder, 100 ml of tea is left inside the pot. what is the proportion of the total amount of tea? write your answer as a fraction.
Answer:29.16 ml was left
Step-by-step explanation:
2/3-3/8=
16/23-9/24=
7/24x100/1=
then divide
Cierto individuo, al fallecer, repartió sus ahorros del siguiente modo; la mitad a
su esposa; el tercio a su único hijo; la décima parte a un sobrino, y dos millones
de nuevos soles a una beneficencia ¿cuánto poseía?
Answer:
El individuo poseía treinta millones.
Step-by-step explanation:
Podemos expresar la repartición del individuo como sigue:
[tex] x = \frac{x}{2} + \frac{x}{3} + \frac{x}{10} + 2000000 [/tex]
Dado que la suma de la repartición de la mitad que le da a su esposa (x/2), del tercio que le da a su único hijo (x/3), de la décima parte que le da a un sobrino (x/10) y de los dos millones que le da a una beneficiencia debe ser igual al monto incial que tenía (x).
Resolviendo la ecuación de arriba para "x" tenemos:
[tex] x - \frac{x}{2} - \frac{x}{3} - \frac{x}{10} = 2000000 [/tex]
[tex] x = 30000000 [/tex]
Por lo tanto, el individuo poseía treinta millones.
Espero que te sea de utilidad!
The Centers for Disease Control conducts an occasional study of youth behaviors that affect health. They randomly sample several thousand children between the ages of 10 and 18 in the United States and ask (with parents' permission) a series of questions. In a recent sample of 15000 randomly selected youth, 11% of them said that they had vaped on 1 or 2 days in the last 30 days. Which of the following best describes the number 111%?
a. 11% is a statistic and is represented symbolically as Ï = 0.11
b. 11% is a statistic and is represented symbolically as rho = 0.11
c. 11% is a parameter and is represented symbolically as rho=0.11
d. 11% is a parameter and is represented symbolically as Ï = 0.11
Answer:
b. 11% is a statistic and is represented symbolically as p = 0.11
Step-by-step explanation:
A statistic differ from a parameter in that, statistic is a numerical property or value derived from the sample while the parameter is a numerical property of the population. The percentage given, 11% who said that they had vaped on 1 or 2 days in the last 30 days is derived from the 15000 youths which is a sample and not a population, hence, 11% is a statistic, since it is expressed as a percentage, it is a proportion ;
Hence, 11% is a statistic and can be represented symbolically as p = 0.11
4 minutes is what fraction in a day
Answer:
4/1440 or 1/360
Step-by-step explanation:
A day has 24 hours and 60 minutes in each hour.
24 × 60 = 1440
I hope this helps.
Answer:
4/1440 or 1/360
Step-by-step explanation:
one day have 24hr .when we convert it to minutes,it becomes 1440minutes. so fraction of 4 min in a day us 4/1440 or in equavalent fraction 1/360.
230 kids took a survey and 111% like gym how many kids like gym
Answer:
255.3 people
If you mean 11%, then:
25.3 people
Step-by-step explanation:
[tex]\frac{y}{230} :\frac{111}{100}[/tex]
y × 100 = 230 × 111
100y = 25530
100y ÷ 100 = 25530 ÷ 100
y = 255.3
If you mean 11%, then:
[tex]\frac{y}{230} :\frac{11}{100}[/tex]
y × 100 = 230 × 11
100y = 2530
100y ÷ 100 = 2530 ÷ 100
y = 25.3
First,i would rewrite 3/4 as an equivalent fraction with a denominator of ____
The equivalent fraction is ____ Then, I would compare the equivalent fraction to 7/12\
PLEASE TELL ME THE ANSWERS IN THE BLANKS!!!
Answer:
denominator of 12 (first blank) making the numerator 9. equivalent fraction 9/12 (second blank)
Step-by-step explanation:
lowest common denominator is 12. make sure what you do to the denominator (4times3)= 12, you do to the numerator (3times3)=9
Answer:
The first blank is the denominator of 12 so the numerator is 9. Which makes the answer 9/12
Step-by-step explanation:
Hope this helps! :)>
Anna's electricity bill costs $21.59 per month plus $4.66 per kilowatt hour. How many kilowatt hours can she use and keep
her bill to no more than $51?
Round your answer to a whole number
Answer:
6 kwh
Step-by-step explanation:
(51 - 21.9)/4.66 = 6.24 => 6 kwh
What type of number is 12/3
Choose all that apply.
Whole number
Integer
Rational
Irrational
Answer: Rational
Step-by-step explanation: bc