Answer:
The final balance is £11,285.58.
The total compound interest is £4,285.58
Step-by-step explanation:
hope that's right and it helps you
also please tell me If I got it right or wrong
differentiate the following functions (x^3+1)(x-2)÷x^2
Given:
The given function is:
[tex]\dfrac{(x^3+1)(x-2)}{x^2}[/tex]
To find:
The differentiation of the given function.
Solution:
Consider the given function,
[tex]y=\dfrac{(x^3+1)(x-2)}{x^2}[/tex]
It can be written as:
[tex]y=\dfrac{(x^3)(x)+(x^3)(-2)+(1)(x)+(1)(-2)}{x^2}[/tex]
[tex]y=\dfrac{x^4-2x^3+x-2}{x^2}[/tex]
[tex]y=\dfrac{x^4}{x^2}-\dfrac{2x^3}{x^2}+\dfrac{x}{x^2}-\dfrac{2}{x^2}[/tex]
[tex]y=x^2-2x+\dfrac{1}{x}-\dfrac{2}{x^2}[/tex]
Differentiate with respect to x.
[tex]y'=\dfrac{d}{dx}(x^2)-\dfrac{d}{dx}(2x)+\dfrac{d}{dx}(x^{-1})-\dfrac{d}{dx}\2(x^{-2})[/tex]
[tex]y'=2x-2(1)+(-x^{-2})-2(-2x^{-3})[/tex]
[tex]y'=2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex]
Therefore, the differentiation of the given function is [tex]2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex].
Use the information below to answer the next 4 questions.
Renee, Susan, and Martha will share the cost to rent a vacation house for a week.
Renee will pay 40% of the cost.
Susan will pay .35 of the cost.
Martha will pay the remainder of the cost.
Answer:
ok
Step-by-step explanation:
lol
PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.
Answer:
43.98
Step-by-step explanation:
did some quick maths
c=2
[tex]c = 2 \times \pi \times r[/tex]
will mark brainlyist if you give the right answer!!
Performance Task: Daredevil Danny
Performance Task
Active
i am very confused on what to do for the algebra dare ldevil danny performance task. someone please help!
As I cannot help you do your assignment since you didn't upload the questions, I can just give you the instructions.
I believe you are supposed to open the Student Guide that your cursor is hovering over (the boxed line in the picture) and then solve the problems (or do) the stuff inside. Then, you take a picture of your work/answers and upload that to the File Upload below.
Which of the following equations is used to calculate the probability of event A happening, given that event B has occurred?
Answer:
B
Step-by-step explanation:
Not much to explain
Someone help me out my grade are bad
Answer:
$48
Step-by-step explanation:
all you have to do is 36 ➗ 3/4
which is equal to 48
A box contains 40 cards. Meg takes out 16 cards without looking: 2 red 2 yellow 8 blue and 4 green cards. which statement is most likely to be true about the 40 cards based on megs sampling?
The annual yield per lemon tree is fairly constant at 390 pounds per tree when the number of trees per acre is 150 or fewer. For each additional tree over , the annual yield per tree for all trees on the acre decreases by 4 pounds due to overcrowding.
A. Express the yield per tree, Y, in pounds, as a function of the number of lemon trees per acre, x, where x is greater than 150.
B. Express the total yield for an acre, T, in pounds, as a function of the number of lemon trees per acre, x, where x is greater than 150.
Answer:
kbvhhjbvgivftivdtufyuffgi
Help ASAP
2. Use the image to answer the questions.
(a) What is the center and the radius of the circle?
(b) What are the equations of the circle in graphing form and in general form? Show your work
Answer:
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
This table represents function f.
х
-3
2
3
7
у
-2
8
10
18
Complete this table to represent the inverse of function f.
Answer:
-3 2 3 7
Step-by-step explanation:
The answer is above
what times twelve is exactly 30
the answer is most likely a mixed number
Answer:
2.5 or 2 and 1/2
Step-by-step explanation:
30/12 = 2.5
There are two wholes that fit in 30 with a remainder of half of a whole.
2.5 translates to 2 and 1/2
Answer:
Hello! answer: 2½
Step-by-step explanation:
Assuming you mean mixed number as in fraction I did 30 ÷ 12 = 2.5 and converted it to a mixed number and since 2½ × 12 = 30 the answer is 2½ Hope that helps!
Need help ASAP! What is this
180 - 64= 116
116 divided by 4 = 29
x=29
Have a good day:>
Answer:
x = 29
Step-by-step explanation:
Supplementary angles add up to 180 degrees:
4x+64 = 180
Subtract 64 from both sides:
4x+64-64 = 180-64
4x = 116
Divide both sides by 4:
4x/4 = 116/4
x = 29
Please help! Will give branliest for correct answer !
God Bless uu!!
Answer:
solution given:
Area of triangle ABC=½b×h=½×18×21=189km²
Area of square DEFG=l²=9²=81km²
Area of rectangle DHIJ=l×b=4×13=52km²
Total area =189+81+52=322 square kilometers.
Answer:
322 sq. km
Step-by-step explanation:
the area of fig. =
(½×18×21)+(13×4)+(9×9)
= 189+52+81
= 322 sq. km
which graph correctly represents
3x + y>72
A graph A
B. graph B
с graphic
D graph D
Answer:
The correct graph should have an x-intercept of 24, a y-intercept of 72, connected by a dashed line, with shading to the right
Step-by-step explanation:
y > -3x + 7
The correct graph should have an x-intercept of 7/3, a y-intercept of 7, connected by a dashed line, with shading to the right
Find the distance between the points given.
(-1, -1) and (1, 3)
√5
√(17)
2√5
Answer:
2√5
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
= √[1 - (-1)]² + [3 - (-1)]
= √(2)² + (4)²
= √(4) + (16)
= √20
= 2√5
HELP DUE IN 15 MINS!
Assume that any lines that appear to be tangent are tangent.
perimeter =??
Answer:
Perimeter = 55.4
Step-by-step explanation:
8 + 8 + 8.7 + 8.7+ 11 + 11 = 55.4
Hope this helps!
#2 find the r and h
find the surface area as we
Answer:
2) 96
3) 121
Step-by-step explanation:
2) 8 x 12 = 96
3) 11 x 11 = 121
Answer:
surface area of the cyclinder=2πr²+2πrh
=(2×3.14×12²)+(2×3.14×12×8)
=904.32+602.88
=1507.2mi²
show work pls, WILL GIVE BRAINLIEST
(3/5)x+2/5=7
Find the area of the parallelogram. Include formula.
Answer:
24 units²
Step-by-step explanation:
Hi there!
[tex]A=bh[/tex] where b is the base and h is the height of the parallelogram
Plug in 6 as the base and 4 as the height
[tex]A=(6)(4)\\A=24[/tex]
Therefore, the area of the parallelogram is 24 units².
I hope this helps!
Answer:
Given :-Height = 6 cm
Base = 4 cm
To Find :-Area
Solution :-We know that
Area = Base × Height
Area = 4 × 6
Area = 24 in²
[tex] \\ [/tex]
Sadie is saving her money to buy a new pony, which costs $600. She has already saved $75. She earns $50 per week working at the stables and wonders how many weeks it will take to earn enough for a pony of her own. How many weeks will Sadie have to work to earn enough to buy the pony?
A) 8 weeks
B) 10 weeks
C) 11 weeks
D) 12 weeks
Answer: C
Step-by-step explanation:
My answer is correct because, if Sadie gets 50 per week then we can just multiply it by 10 and that equals 500. But since we have 75 dollars already we cant multilpy it by 11 but if we times it by 10.5 that equals 525 and if we add 75 dollars that equals 600. but since we get the money every week we have to round that and that would equal 11 weeks.
#[tex]AnimePower[/tex]
Juan bought 5 cupcakes and 3 bearclaws for 45$. Lily bought 4 of the same cupcakes and 6 of the same bearclaws for 72$. What is the price of each item?
Answer:
Cup cakes= $3
Bear claws = $10
Step-by-step explanation:
Let the orice of cupcakes be x and the price of bear claws be y
5x+ 3y= 45
4x + 6y= 72
Multiply equation 1 by 4 and equation 2 by 5
20x + 12y= 180
20x + 30y= 360
-18y= -180
y= 10
Substitute 10 for y in equation 1
5x + 3(10)= 45
5x + 30= 45
5x = 45-30
5x= 15
x= 15/5
= 3
Hence the price of cup cakes is 3 and bear claws is $10
HELP I WILL MARK YOU BRAINLIEST PLEASE
Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?
Kristina rides her bicycle 384.25 miles over 29 weeks to and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?
Question: Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?
Answer: $4.90
Steps: Step 1: Find operation: The operation in this problem is subtraction because words such as "spent" means that she used money, meaning we subtract.
Step 2: Figure out order of numbers: Now that we know that the operation is subtraction, we need to know what numbers to subtract. The problem says that Mai had $14.50, which means that this is the total amount of money she had when she started. Spent means that Mai used money, so this means that we subtract like this: $14.50-$4.35-$5.25.
Step 3: Subtract: Now that we know what operation to use, and what order to use the numbers, we can finish the problem:
$14.90 - $ 4.35 ------------------- $10.15 - $ 5.25 -------------------- $4.90--------------------------------------------------------------------------------------------------------------
Question: Kristina rides her bicycle 384.25 miles over 29 weeks to and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?
Answer: 13.25
Steps: 1: Find operation: To solve this question, we need to find the operation. Words such as "same amount each week" mean that this is division.
Step 2: Figure out order of numbers: Now, we need to figure out what to divide by. We divide 384.25 by 29 because it say that she rides 384.25 miles over 29 weeks.
Step 3: Divide: Now, we will solve the equation: 384.25 divided by 29 is 13.25, so the answer is 13.25.
Hope this helps you!
P.s. Sorry I could not show how to divide 384.25 by 29.
3800 divided by 4, I know it’s 950 but I need to know how to get 950
SIMPLIFY (√2 + √5) ²
Answer:
7+2√10
Step-by-step explanation:
Answer:
7+2√10
Step-by-step explanation:
Combine like terms to simplify the expression below.
14x -(2x - y) - y
A 12x B 14x -y C 12x - y D 14x
Answer:
The answer is A: 12x Hope this helps!
Section A - Cla
Let's tell and write the answers as quickly as possi
a) Natural numbers less than 10 are
b) Whole numbers less than 10 are
c) The least and the greatest natural numbers are
d) The least and the greatest whole numbers are
e) Are all natural numbers whole numbers?
f) Are all whole numbers natural numbers?
g) Is the sum of 5 and 4 a natural number?
h) Is the difference of 5 and 5 a natural number?
i) Is the difference of 5 and 5 a whole number?
Quadrilaterals ABCD and WXY Z are congruent.
B
A
X
Z
Which of the following sequences of transformations maps WXY Z onto ABCD
please help me asap im so confused
Answer:
RPT = 208
Step-by-step explanation:
Arc ST = 97 Given
Arc RP = 180 - 97 Straight line
Arc RP = 83
Arc PT = 125 Given
Arc RPT = 125 + 83 Add the two arcs together.
Arc RPT = 208
The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?
square root 33 units
square root 65 units
33 units
65 units
By applying Pythagoras theorem,we get
(hypotenuse)^2=(base)^2+(perpendicular)^2
=>(h)^2=(7)^2+(4)^2
=>(h)^2=49+16
=>(h)^2=65
=>h=√65
Therefore, option B is correct,i.e.,√65
Answer:
Square root of 65 units
Step-by-step explanation:
This is the correct answer