Answer:
[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]
Step-by-step explanation:
Given
[tex]4^3, \sqrt{40}, \sqrt{13}, \frac{14}{9}, \sqrt 7[/tex]
Required
Order from least to greatest
First, we solve for each expression
[tex]4^3 = 64[/tex]
[tex]\sqrt{40} = 6.32[/tex]
[tex]\sqrt{13} = 3.61[/tex]
[tex]\frac{14}{9} = 1.56[/tex]
[tex]\sqrt{7} = 2.66[/tex]
From least to greatest, we have:
[tex]1.56, 2.66. 3.61, 6.32, 64[/tex]
Hence, the list is:
[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]
The ratio of coloured papers to wight papers is 3:8.If there are 48 wight papers, how many coloured papers are there?
Answer: The total number of colored papers is 18.
Step-by-step explanation:
Given: The ratio of coloured papers to wight papers is 3:8.
Let total number of colored papers = 3x
and total number of wight papers = 8x
Since, there are 48 wight papers , then
[tex]8x=48[/tex]
[tex]\Rightarrow\ x=6[/tex]
Now , number of colored papers = 3(6)=18
Hence, the total number of colored papers is 18.
John finances his daughter's college education by making deposits into a fund earning interest at an annual effective rate of 8%. For 18 years he deposits X at the beginning of each month. In the 16th through the 19th years, he makes a withdrawal of 25,000 at the beginning of each year. The final withdrawal reduces the fund balance to zero. Calculate X.
Answer:
Monthly payment = 241.925
Step-by-step explanation:
Effective interest rate is the actual interest paid at the end of the year AFTER compounding. Most credit cards charge x% ("APR", annual percentage rate)annually. Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.
Here, effective (annual) interest rate is 8%. We need the monthly rate, i.
(1+i)^12 = 1.08
Solving, we have i = 0.6434% monthly approximately
To balance the deposits and withdrawals, we note that the last withdrawal is the beginning of year 19, and the last deposit is the last month of year 18. We therefore conclude that the "future values" fall on the same day, and that they are equal.
We consider the annual deposits D (accumulated at the end of the year, and annual withdrawals W are in separate accounts. By the end of the operations, one will balance the other (they are equal).
We will need the following formula to calculate future value F given the periodic amount, A, interest rate per period, i, and the number of periods.
F(A,i,n) = A*((1+i)^n-1)/i
Step 1:
calculate the future value of the withdrawals
A = W = 25000 (annual withdrawal)
i = 8% (effective annual interest)
n = 4 years (beginning of 16,17,18,and 19th years)
F(A,i,n) = A*((1+i)^n-1)/i
= 25000( (1+0.08)^4 - 1)/(0.08)
= 112652.80
This is also the total deposit after eighteen years.
Step 2:
calculate the future value of the annual deposits D
A = D (total of annual deposits)
i = 8% (effective annual interest)
n = 18 years
Future value of deposits
F(A,i,n) = A*((1+i)^n-1)/i
= D( (1+0.08)^18 -1 ) / 0.08
= 37.45024373981167D
Since this must equal the total withdrawal, we equate the two to calculate D.
37.45024373981167D=112652.80
and solve for D
D = 112652.80 / 37.45024373981167
= $3008.0659
Step 3
Calculate monthly deposit, X
Effective interest rate is the actual interest paid at the end of the year AFTER compounding. Most credit cards charge x% ("APR", annual percentage rate)annually. Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.
Here, effective (annual) interest rate is 8%. We need the monthly rate, i.
(1+i)^12 = 1.08
The actual monthly interest rate is therefore
i = 1.08^(1/12)-1
Over a 12 month period, (one year), the monthly amount X to accumulate an annual amount D (=$3008.0659) is therefore given by
D = X*((1+i)^n-1)/i
3008.0659 = X*(1.08-1)/(1.08^(1/12)-1)
or the monthly amount
X = $3008.0659 / ( 1.08^(1/12)-1)
= 241.925 per month.
=
if m 7=99 degrees and m 1=32 degrees then what is m 4 + m 5
Answer:
229°
Step-by-step explanation:
(180- 32) + (180 - 99)
148 +81
= 229°
Cylinder math, help me
Answer:
A= 43.393 rounded
Step-by-step explanation:
A=2πrh
A= 2 [tex]\pi[/tex] 1.625 (4.25)
A= 13.8125[tex]\pi[/tex]
or
A= 43.393 rounded
please help!!
find x
Answer:
since the square indicates the angle is a right angle ( 90 ° )
then x = 90 - 32
x = 58 °
convert: 1 hour to seconds
1 min = 60 seconds
1 hour = 60 mins = 60 x 60 = 3600 seconds .
Question and choices are in the photo please explain the answer
Step-by-step explanation:
but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16
PLEASE PLEASE PLEASE SOMEONE HELP ME THIS IS DUE TODAY
EXPLAINING YOUR ANSWER = BRAINLIEST
What is m∠E?
Answer:
try 144
Step-by-step explanation:
m<E is basically just ot asking you to find the angle of E, i think :').
And since all angles equal to 180, 180-36=144
(hope ots right)
Please Help. It would be very helpful to me
Answer:
A) 2 inches
Step-by-step explanation:
Find the solution of y = 6x + 1 for x = 5
Answer:
y equals to 31
Step-by-step explanation:
6(5) = 30
30+1 = 31
Logx-1(343)=3 solve for base x
Answer:
should be 8 !
Step-by-step explanation:
it just is
Today,high tide measured 5.5 ft and low tide measured 1 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours
Answer:
[tex]A = 2.25ft[/tex]
Step-by-step explanation:
Given
[tex]High = 5.5ft[/tex]
[tex]Low = 1ft[/tex]
Required
The amplitude (A)
This is calculated as:
[tex]A = \frac{1}{2}(High - Low)[/tex]
So, we have:
[tex]A = \frac{1}{2}(5.5ft - 1ft)[/tex]
[tex]A = \frac{1}{2} * 4.5ft[/tex]
[tex]A = 2.25ft[/tex]
What additional information is needed to prove the triangles congruent by SSS
Answer:
Angle a = Angle D
Answer:
A: Angle A Angle D
Step-by-step explanation:
Please help me. Study island is hard
Answer: 5/12
Step-by-step explanation:
13-7 = 5
16-4 = 12
help, the question is on the image
[tex]p = \frac{2 -3g}{g + 4} [/tex]
Refer to the attachment for step by step explaination.
Have a nice day!!
Answer:
[tex]p = \frac{2 - 3g}{(g + 4)} [/tex]
Step-by-step explanation:
[tex]g = \frac{2 - 4p}{3 + p} \\ g(3 + p) = 2 - 4p \\ 3g + pg = 2 - 4p \\ pg + 4p = 2 - 3g \\ p(g + 4) = 2 - 3g \\ \frac{p(g + 4)}{(g + 4)} = \frac{2 - 3g}{(g + 4)} \\ p = \frac{2 - 3g}{(g + 4)} [/tex]
ajdjsjnsjsjdjxhdjdjdjdjdjsjsjsjssjs
Step-by-step explanation:
The area of a square is given by :
A = a²
Where
a is the side of the square
For square A, Area = 64 sq units
64 = a²
a = 8 units
For square B, Area = 30 sq units
30 = a²
a = [tex]\sqrt{30}[/tex] units
For square C, Side length = 14 units
A = 14²
A = 196 sq units
For square D, Side length = [tex]\sqrt{30}[/tex] units
A = [tex](\sqrt{30})^2[/tex]²
A = 30 sq units
Hence, this is the required solution.
If f(x)= 2x^5-3x^3+2x^2+1, then f(1)=?
A. -1
B. 0
C. 1
D. 2
E. 4
Answer:
2
Step-by-step explanation:
f(x)= 2x^5-3x^3+2x^2+1
Let x=1
f(1)= 2(1)^5-3(1)^3+2(1)^2+1
= 2*1 -3*1+2(1) +1
= 2-3+2+1
2
[tex] \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}[/tex]
Let's try![tex]\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 }[/tex]
Hence, The answer is:[tex]\quad \quad \quad \quad \huge\boxed{\tt{ \color{green}f(x) = 2 }}[/tex]________
#LetsStudy
Can someone please help me with this question
Answer:
If x is the one vertically opposite to 40, then x will be 40, due to vertically opposite angles.
find the volume of a cylinder with radius 5 and surface area 180pi
Answers : either 200pi or 325pi help !
Answer:
The volume of a cylinder is 325π.
Step-by-step explanation:
The volume of a cylinder is given by:
[tex]V = \pi r^{2}h[/tex]
Where:
h: is the height
r: is the radius = 5
We can find "h" from the surface area of the cylinder:
[tex]SA = 2\pi rh + 2\pi r^{2} = 180\pi[/tex]
[tex] h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13 [/tex]
Hence, the volume is:
[tex]V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi[/tex]
Therefore, the volume of a cylinder is 325π.
I hope it helps you!
Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
(__,__ )
Answer:
If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).
Actually... It's from web
A castle guard is standing on the opposite side of an 8-foot moat and wants to reach a window that is 15 feet above the ground. The guard
props a ladder against the castle wall to form a right triangle as shown. Approximate the length of the ladder needed to reach the window to
the nearest tenth of a foot.
Using the Pythagorean Theorem, it is found that the length of the ladder needed to reach the window is given by:
a. 17.0 ft.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, the length of the ladder in feet is the hypotenuse, considering legs [tex]l_1 = 8, l_2 = 15[/tex].
Hence:
[tex]h^2 = 8^2 + 15^2[/tex]
[tex]h = \sqrt{8^2 + 15^2}[/tex]
h = 17.0 ft.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675
#SPJ2
x is a positive integer and 15x - 43 < 5x + 2. Work out the possible values of x.
Answer:
x = 1, 2, 3, 4
Step-by-step explanation:
15x - 43 < 5x + 2
15x - 5x - 43 < 2
15x - 5x < 2 + 43
10x < 45
x < 4.5
x = 1, 2, 3, 4
The required value of the x in the given inequality is x < 4.5.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given expression,
15x - 43 < 5x + 2
Adding 43 on both sides,
15x < 5x + 45
Subtract 5x from both sides,
10x < 45
Divide the inequality by 10
x < 4.5
Thus, the required value of the x in the given inequality is x < 4.5.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ2
if a:b=1:3 and b:c=5:8 what's a:c
need steps pls
Answer:
a:c=1:8
Step-by-step explanation:
a:b=1:3
therefore a=1 and b=3
b:c=5:8
therefore b=5 and c=8
then,
a:c=1:8
Answer:
a : c = 5 : 24
Step-by-step explanation:
[tex]a : b = 1 : 3\\\\\frac{a}{b} = \frac{1}{3} \ => b = 3a\\\\b : c = 5 : 8 \\\\ \frac{b}{c} = \frac{5}{8} \ => \ \frac{3a}{c} = \frac{5}{8}[/tex] [tex][substituting \ b = 3a ][/tex]
[tex]\frac{a}{c} = \frac{5}{24}[/tex]
[tex]=> a : c = 5 : 24[/tex]
i would really appreciate the help please
Answer:
1 and 2 only
Step-by-step explanation:
mark me as brainliest
15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.
Answer:
221cm squre
Step-by-step explanation:
The slope of line j is 2 and j || K. What is the slope of line k?
Helpppppppppppp..!!!!!’nnnnmmmm
Step-by-step explanation:
heyYYYYYYYY I HAVE AGREAT APP FOE U. it's called algebrator use that and it'll help ya
Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15
Answer:the answer is b
Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped
Can someone please help me solve this
20 points to the person who can help me solve
Answer:
7/15
Step-by-step explanation:
P(appetizers with cheese) = number with cheese / total = 1/5
P(entrees with cheese) = number with cheese / total = 1/3
It is the P(a) + P(b) - P(a and b)
We cannot double count the cheese and cheese event)
P( cheese and cheese) = 1/3 * 1/5 = 1/15
1/5 + 1/3 - 1/15
3/15 + 5/15 -1/15
8/15 - 1/15
7/15
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
Answer:
pythagorean theorem
18
Step-by-step explanation: