Answer:
The smallest amount is £6911
Step-by-step explanation:
Rate of Interest = R = 5% per year
Duration in years = n = 3 year
Amount expected after three years when compounded annually = A = £8000
Formula for Amount of compound interest annually is a follows
A = P( 1 + R/100)^n
In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get
8000 = x ( 1 + 5/100)^3
⇒8000 = x ( 105/100)^3
⇒8000 = x ( 21/20 )^3
⇒(8000 × 20 × 20 × 20)/(21×21×21) = x
⇒x = 6910.70≈6911
What I got to do please
Answer:
4
Step-by-step explanation:
[tex]3 \div \frac{3}{4} \\ = \frac{3}{1} \div \frac{3}{4} \\ = \frac{3}{1} \times \frac{4}{3} \\ = \frac{12}{3} \\ = \frac{4}{1} \\ = 4[/tex]
Answer:
4
Step-by-step explanation:
3÷3/4
3*4/3
12/3
4
Instructions: Determine whether the following polygons are
similar. If yes, type in the similarity statement and scale factor. If
no, type 'None' in the blanks.
Answer:
No they aren't similar different measurements but same angle so they can't be said to be similar
A 3-gallon jug of water costs $15.00. What is the price per quart?
Answer:
1.25 dollars per quart
Step-by-step explanation:
There are 4 quarts per gallon
3 gallons * 4 quarts/ gallon = 12 quarts
15 dollars/ 12 quarts
1.25 dollars per quart
Cyclically each of 3 tanks fires at one of the other 2 until only 1 is left. A hit destroys a tank. A has probability 1 of hitting its target, B has probability 0.8, and C has probability 0.5. What are the best strategies for each of the tanks and what are their survival probabilities
Answer:
.................................................................
Step-by-step explanation:
..............................................
please help! x^3 +y^3=9
Step-by-step explanation:
Taking the derivative of both sides with respect to x, we get
[tex]\dfrac{d}{dx}(x^3 + y^3) = \dfrac{d}{dx}(3)[/tex]
[tex]\Rightarrow 3x^2 + 3y^2\dfrac{dy}{dx} = 0[/tex]
Solving for [tex]\frac{dy}{dx}[/tex], we get
[tex]\dfrac{dy}{dx} = -\dfrac{3x^2}{3y^2} = -\dfrac{x^2}{y^2}[/tex]
Finding Perimeter Practice Pages continued Name: 3 A rectangular garden has a width of 90 feet. The perimeter is 500 feet. What is the length of the garden? 500 = (2x) + .......... .........) 500 = 2€ + = 20 = 2 = = € The length of the garden is ................. feet. inchor lona Tell w
Step-by-step explanation:
After putting the values:-
Find the sum of the geometric sequence.
1, 1/2, 1/4, 1/8, 1/16.
Answer:
2
Step-by-step explanation:
a1= 1
r= a2/a1
r= (1/2)/1
r=0.5
s= a1/1-r
s= 1/1-0.5
s=2
Three times the sum of a number and eight is four more than the number. find the number
Answer:
3(x+8)=4+x
distribute the 3 by multiplying it with the x and the 8
3x+24=4+x
subtract x from both sides
2x+24=4
subtract 24 from both sides
2x=4-24
2x=-20
divide each side by 2
leaving the variable isolated
x=-10
Step-by-step explanation:
It is important to balance each side by doing the same to both sides such as at the end divide both sides by 2.
The unknown number will be equal to 10.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that three times, the sum of a number and eight is four more than the number.
The equation will be written as,
3(x+8)=4+x
Distribute the 3 by multiplying it with the x and the 8,
3x+24=4+x
Subtract x from both sides,
2x+24=4
Subtract 24 from both sides,
2x=4-24
2x=-20
Divide each side by 2.
x=-10
Therefore, the unknown number will be equal to 10.
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
Circle A has an area of 500 in? The diameter of circle B is three times the diameter of circle A. Estimate the area of circle B. !I will give brainlest!
Step-by-step explanation:
circle has an area of 500 inches if we multiply it by 3 we get 1500 inches
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches?
6 inches
8 inches
12 inches
20 inches
Answer:
[tex]\boxed {\boxed { \sf 12 \ inches}}[/tex]
Step-by-step explanation:
The area of a triangle can be calculated using the following formula.
[tex]a=\frac{1}{2} bh[/tex]
The area of the triangle is 24 square inches and the base is 4 inches long.
a= 24 in² b= 4 inSubstitute the values into the formula.
[tex]24 \ in^2 = \frac {1}{2} * 4 \ in * h[/tex]
Multiply on the right side of the equation.
[tex]24 \ in ^2 = ( \frac{1}{2} * 4 \ in ) * h[/tex]
[tex]24 \ in ^2 =2 \ in *h[/tex]
We are solving for the height of the triangle, so we must isolate the variable h. It is being multiplied by 2 inches. The inverse of multiplication is division, so we divide both sides by 2 inches.
[tex]\frac { 24 \ in ^2 }{2 \ in }= \frac{ 2 \ in *h}{ 2 \ in}[/tex]
[tex]\frac { 24 \ in ^2 }{2 \ in }= h[/tex]
[tex]12 \ in = h[/tex]
The height of the triangle is 12 inches.
find the product of 3 and 1/2 and 1.6
Answer:
5.6
Step-by-step explanation:
3.5 x 1.6
It all depends on where the parentheses are in the question.
(3) · (1/2) · (1.6) = 2.4
or
(3-1/2) · (1.6) = 5.6
What is the "least common denominator" of the following two fractions:
1/6 and 1/2
Answer:
it is 6
Step-by-step explanation:
2 and 6 are the denominators and the least common denominator is the number in which 2 & 6 can go in without leaving a remender and 6 is that number
Answer:
The LCD of the fractions 1/6 and 1/2 is 6
Step-by-step explanation:
The LCD of 2 or more fractions is the least common multiple of the denominators.
The given fractions are 1/2 and 1/6. The denominators are 2 and 6
List the multiples of each denominator:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, ..
The least common multiple that the two share is 6.
So the LCD of 1/2 and 1/6 is 6.
Help!! Please photo art attached below
Answer:
C
Step-by-step explanation:
180 degrees + 30 =210 degrees
210 degrees equals 7π/6
A plumber charges $65 for a diagnostic check. After the check, it is $85 per hour for the work. With $320 in your wallet, how many hours of Work can you afford?
Answer:
3 hours
Step-by-step explanation:
first, you subtract 65 from 320 to cover the diagnostic check.
Then, you subtract 85 from the remaining cash three times and you'll get 0
help fast pleasee
find the unit rate for Dion and Emily who read faster?
Dion: 36 pages in 3 days
emily: 45 pages in 5 days
36 pages
__________= ? pages per day.
3 days
45 pages
_________=? pages per day.
5 days
deon read _____ pages per day than emily.
Step-by-step explanation:
36 pages in 3 days, 36/3=12 pages per day.
45 pages in 5 days, 45/5=9 pages per day.
Difference is 3 pages per day
Answer:
Deon read 3 more pages per day than Emily.
For the function y=f(x), find f’(a)
Answer:
-1/4
Step-by-step explanation:
f(x) = 1/(x+1)
f(a) = 1/(a+1)
f'(a) = {(a+1)×d/da (1) - d/da (a+1) × 1}/(a+1)²
f'(a) = {(a+1)×0 - 1×1}/(a+1)²
f'(a) = (0-1)/(a²+2a+1)
f'(a) = -1/(1+2a+a²)
putting a = 1
f'(a) = -1/(1+2+1)
f'(a) = -1/4
..............................
Answer:
[tex]x=17[/tex]
Step-by-step explanation:
[tex](6x+10)(x+17)(4x-34)[/tex]
[tex]6x+10+x+17+4x-34=180[/tex]
Add:- [tex]6x+x+4x=11x[/tex]
and [tex]10+17-34=-7[/tex]
So, [tex]11x-7=180[/tex]
Add 7 to both sides:-
[tex]11x=187[/tex]
Divide both sides by 11:-
[tex]\frac{11x}{11}=\frac{187}{11}[/tex]
[tex]x=17[/tex]
OAmalOHopeO
Alice, Bob, and Carol play a chess tournament. The first game is played between Alice and Bob. The player who sits out a given game plays next the winner of that game. The tournament ends when some player wins two successive games. Let a tournament history be the list of game winners, so for example ACBAA corresponds to the tournament where Alice won games 1, 4, and 5, Caroll won game 2, and Bob won game 3.
Required:
a. Provide a tree-based sequential description of a sample space where the outcomes are the possible tournament histories.
b. We are told that every possible tournament history that consists of k games has probability 1/2k, and that a tournament history consisting of an infinite number of games has zero prob- ability. Demonstrate that this assignment of probabilities defines a legitimate probability law.
c. Assuming the probability law from part (b) to be correct, find the probability that the tournament lasts no more than 5 games, and the probability for each of Alice, Bob, and Caroll winning the tournament.
Answer:
I don't know what you think about it is not going to be a great day of school and I don't know what you think about it is not going to be a great day of school
What are the ratio of 1:6 and 3:8, 2:14and 3:42
The ratio of 1:6 is 1/6
The ratio of 3:8 is 3/8
The ratio of 2:14 is 1/7
The ratio of 3:42 is 1/14
Please mark brainliest if that helped!
solve for y. identify the slope and y-intercept. then graph the equation.
y=-3x+1
Answer:
the slope -3, slope meaning rate of change and y intercept is 1.
hope that answers your question
(used desmos to graph, good stuff!!!)
802.4 divided 1.7
Thankkkk u
The answer to this equation is 472.
Answer:
472
Step-by-step explanation:
First we make both numbers into wholes by moving the decimal point one place behind.Then divide normally.
8024 ÷ 17 = 472
I hope this helps :)
Using the graph as your guide, complete the following statement.
The discriminant of the function is ___
A. positive
B. zero
C. negative
How many degrees must the flyswatter pass through before it is horizontal?
Answer:
90°
Step-by-step explanation:
assuming it's upright and you swat it down it will go down by 90°
Line A passes through the points (-2, 27) and (1, -9). Line B passes through the points (-1, 15)
and (3,-33).
Which statement is true?
Line A overlaps line B.
Line A does not intersect line B.
Line A intersects line B at exactly one point.
Answer:
Line A overlaps line B
Step-by-step explanation:
find gradient of both A and B and use it to find the equation of both lines
final answer will reveal that both lines are the same implying that one overlaps the other
Consider the line 9x + 8y = -8.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
Step-by-step explanation:
The slope of the line is -9/8. The slope of any parallel to the line is also -9/8.
Vertical plane R intersects horizontal plane P. Points D, and B are on the line of the intersecting planes. Point F is on the top half of plane R. Point G is on the bottom half of plane G. Point C is on the left half of plane P. Point E is on the right side of plane P. There is a line formed between points C and E. Point H to above and to the right of the planes. Point L is below and to the left of the planes.
The intersection of plane R and plane P is
.
Point
is not on plane P.
Line C E and Line D B intersect at point
.
Answer:
The intersection of plane R and plane P is line DB
Point H is not on plane P.
CE and DB intersect at point D
Explanation:
got it right on edge 2021 :)
Answer:
there right^
Step-by-step explanation:
edge 22
Geometry please help me!!!!
Answer:
Step-by-step explanation:
what is 98×63-32×69=
Answer: plz marl brainilist
3966
Step-by-step explanation:
(98 × 63 - 32 × 69
98 * 63) - (32 * 69)
Is the rate of change of the function 5?
What are all the factors of 618?
Answer:
1, 2, 3, 6, 103, 206, 309, 618
