On the 1st January 2014 Carol invested some money in a bank account.
The account pays 2.5% compound interest per year.
On 1st January 2015 Carol withdrew £1000 from the account.
On 1st January 2016 she had £23517.60 in the account.
Work out how much Carol originally invested in the account.

Answers

Answer 1

Answer:

didn't know how to workout iam only 3rd standard

Answer 2

Answer:

Step-by-step explanation:

bubble gum


Related Questions

Multiply the two fractions. Simplify your answer. 1/2 x 4/7

Answers

Answer:

2/7

Step-by-step explanation:

The solution of fractions after multiplying the two fractions would be [tex]\dfrac{2}{7}[/tex].

Given that,

Multiply the two fractions,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

Used the concept of multiplication which states that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, simplify the fractions by multiplying,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

[tex]\dfrac{4}{14}[/tex]

Simplify for the simplest form,

[tex]\dfrac{2}{7}[/tex]

So, the solution is [tex]\dfrac{2}{7}[/tex].

To learn more about multiplication visit:

https://brainly.com/question/10873737

#SPJ6

limx→0
tan x − x
x − sin x

Answers

Answer:

Please understand me download an math algebra in play store

-1⅓ + 2⅓ what is answer ​

Answers

The answer to -1 1/3 + 2 1/3 is 1
Ok done. Thank to me :>

Please help me prove that ED is congruent to BA! I thought I had it right by proving right and vertical angles, but I’m missing something

Answers

Step-by-step explanation:

[tex]\overline{DA} \text{ bisects } \overline{EB}[/tex]     is given

[tex]\overline{BC} \cong \overline{EC}[/tex]  definition of bisect

[tex]\overline{EB} \perp \overline{ED}, \, \overline{EB} \perp \overline{BA}[/tex]  are both given

[tex]\angle B, \, \angle E \text{ are right angles}[/tex]  definition of perpendicular

[tex]\angle B \cong \angle E[/tex]   because all right angles are congruent

[tex]\angle{ACB} \cong \angle{DCE}[/tex]  vertical angles are congruent

[tex]\triangle{ACB} \cong \triangle{DCE}[/tex]   ASA (angle-side-angle)

[tex]\overline{ED} \cong \overline{BA}[/tex]  CPCTC (corresponding parts of congruent triangles are congruent)

Solve for x. Round to the nearest hundredth. 10^x = 42

Answers

Answer: The answer is 1.62.

Explanation: It is in the image.

Can anyone help me with this!

Answers

Answer:

I think 14 if not 10

Step-by-step explanation:

<%) pizza

Judith bought a rowboat priced at 671.65.shipping anf handling cost and additional 20% of the prices What was the total cost of the rowboat,including shipping and handilng?

Answers

Answer:

805.98

Step-by-step explanation:

671.65x.20=134.33

134.33+671.65=805.98

88π
Rational or irrational
Good answer i mark brainlest

Answers

Answer:

Irrational

Step-by-step explanation:

The number is irrational because when you convert it to decimal form, you get 276.4601... a repeating decimal that goes on and on.

Answer:

Irrational

Step-by-step explanation:

π is irrational and 88 is rational number.

The product of the two is irrational.

The perimeter of a rectangular is 306 centimeters of the length of the painting is 94 centimeters what is the width

Answers

Answer:

59 centimeters

Step-by-step explanation:

please help ill mark brainliest​

Answers

Answer:

I think the answer is c now I'm using words to meet the 20 character minimum

I need help with this badly. It's geometry and angles.

Answers

Answer:

∠ C = 118°

Step-by-step explanation:

DE = DF , then Δ DEF is isosceles with base angles congruent , then

∠ DEF = ∠ DFE = [tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62°

∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so

∠ DFB = 180° - 62° = 118°

BCDF is a parallelogram ( opposite sides are parallel )

The opposite angles of a parallelogram are congruent , then

∠ C = ∠ DFB = 118°

Ok done. Thank to me :>

The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?

7
10
12
22

Answers

Answer:

[tex]\displaystyle b = -22[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = (x^3+bx+6)(g(x))[/tex]

Where b is a constant and g is a differentiable function.

And we want to determine the value of b such that f'(2) = 0.

Find f' using the product rule:

[tex]\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ (x^3+bx+6)(g(x))\right] \\ \\ & = \frac{d}{dx}\left[ x^3 + bx + 6\right] g(x) + (x^3+bx+6)\frac{d}{dx}\left[ g(x)\right] \\ \\ & = (3x^2+b)(g(x)) + (x^3 + bx + 6)(g'(x))\end{aligned}[/tex]

Substitute using known values and solve for b:

[tex]\displaystyle \begin{aligned}f'(2) = 0 & = (3(2)^2+b)(g(2)) + ((2)^3+b(2)+6)(g'(2)) \\ \\ 0 & = (12+b)(3) + (14+2b)(-1) \\ \\ 0 & = 22 +b \\ \\ b & = -22\end{aligned}[/tex]

In conclusion, the value of b is -22.

The function f is given b is a constant and g is a differentiable function the value b (-8.4),

Let's start by finding the derivative of the given function f(x) with respect to x:

f(x) = (x³ + bx + 6) × g(x)

Using the product rule for differentiation, the derivative of f(x) is:

f'(x) = (x³ + bx + 6) × g'(x) + g(x) × (3x² + b)

Now we are interested in finding the value of b for which f'(2) = 0. So, let's plug in x = 2 and use the information given about g(2) and g'(2):

f'(2) = (2³ + 2b + 6) × g'(2) + g(2) × (3 × 2² + b)

Since g(2) = 3 and g'(2) = -1,

f'(2) = (8 + 2b + 6) × (-1) + 3 × (3 × 4 + b)

= (2b + 14 - 8) + 3× (12 + b)

= 2b + 6 + 36 + 3b

= 5b + 42

Now, we want to find the value of b for which f'(2) = 0:

5b + 42 = 0

Subtracting 42 from both sides:

5b = -42

Dividing both sides by 5:

b = -8.4

To know more about function here

https://brainly.com/question/30721594

#SPJ3

Complete question:

The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?

7

10

12

22

-8.4

Help please hhjhhkkkki

Answers

Answer:

000

Step-by-step explanation:

000

Answer:

[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = -\infty$[/tex]

Step-by-step explanation:

[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = \lim_{x\to 0^+} \tan(x) - \lim_{x\to 0^+} \frac{1}{x^2} $[/tex]

and

[tex]$\lim_{x\to 0^+} \tan(x) = \tan(0) = 0$[/tex]

[tex]$\lim_{x\to 0^+} \frac{1}{x^2} = +\infty$[/tex]

Therefore,

[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = -\infty$[/tex]

the students in Jake's class , 6 have visited a zoo and 6 have visited a factory 3 students have visited both a zoo and a factory . How many students have visited a zoo but not a factory ?

Answers

Answer:

3

Step-by-step explanation:

6 have visited a zoo.

6 have visited a factory.

3 visited both.

Of the 6 who visited a zoo, 3 also visited a factory.

Of the 6 who visited a factory, 3 also visited a zoo.

Here is the list of students:

3 visited a zoo but not a factory.

3 visited a factory but not a zoo.

3 visited both.

Answer: 3

Plssss help!!! Asap tyyy.

Answers

Answer:

1):Reaction

2):Action

3):Thought

4): Dialogue

Step-by-step explanation:

Answer:

Mrs. Boggs's generously inspired us to study harder - Reaction Mrs. Boggs agreed to tutor us all before the test - Action I believe that Mrs. Boggs is the most caring teacher I know - Thought "Of course I will tutor you before the test" she said - Dialogue

Step-by-step explanation:

Hoped this helped.

Hilary walked 654 feet in 3 minutes. She says she walked 218 feet per minute. Is Hilary’s
answer reasonable? Explain.

Answers

Yes!
Because if she is walking 218 feet per minute then if you multiply 218 by 3 we get 654 feet
Which means she must have travelled 654 feet in 3 minutes in order for it to be true which it is! Hope this helps!

can someone drop the awnser please

Answers

Answer:

b

Step-by-step explanation:

Answer: if you can choose multiple its c and d, otherwise i would just use c

Step-by-step explanation:

If the gross domestic product is currently 12,443.9 billion dollars and grows by 5 percent, how much will it be next year?

Answers

Answer:

12,448.9

Step-by-step explanation:

i'm sorry if this is wrong

Enter the number that belongs in the green box

Answers

Answer:

8

Step-by-step explanation:

8

The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is increasing at a rate of 9 cm/s. Find the rate at which the area of the triangle changes when the height is 12 cm and the base is 4 cm.

Provide your answer below:
The rate of change of the area of the triangle is ___ cm²/s.

Answers

Answer:

Step-by-step explanation

Area of a triangle

      A = ½bh

dA/dt = ½(b(dh/dt) + h(db/dt)

dA/dt = ½(4(9) + 12(-5))

dA/dt = ½(36 - 60)

dA/dt = ½(-24)

dA/dt = -12 cm²/s

The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].

What is Area?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to an area of an open surface or even the boundary of a three-dimensional object, whereas the area of a plane region as well as plane area refers to a area of a shape or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat. It is the two-dimensional equivalent of a curve's length.

A shape's area can be calculated by contrasting it with squares of a known size.

[tex]\frac{\mathrm{d} b(t)}{\mathrm{d} t}=-5cm/s[/tex]

[tex]\frac{\mathrm{d} h(t)}{\mathrm{d} t}=9 cm/s[/tex]

[tex]\frac{\mathrm{d}A }{\mathrm{d} t}=\frac{1}{2}\left (b\frac{\mathrm{d} h}{\mathrm{d} t} +h\frac{\mathrm{d} b}{\mathrm{d} t}\right )[/tex]

[tex]\frac{\mathrm{d} A}{\mathrm{d} t}=-12 cm^{2}/s[/tex]

Hence, The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].

Learn more about area from link

https://brainly.com/question/25292087

#SPJ2

A vehicle was travelling at a speed of 72km per hour. What distance did it cover in 2 hours? A. 158km B. 148km C. 168km D. 144km​

Answers

Answer:

D. 144km

Step-by-step explanation:

If the vehicle travels 72km every hour, in two hours, it will drive 144km. (72x2=144)

Is the point (-2, 5) a solution to the equation 2x + 5y = 0?

Answers

Answer:

No

Step-by-step explanation:

substitute -2 for 'x' and 5 for 'y'

2(-2) + 5(5) = 0?

-4 + 25 = 21, not 0

Find the Simple interest paid for eight years on a $850 loan at 7.5% a year

Answers

Answer:

850 divided by 7.5

Step-by-step explanation:

A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 364 gallons?

Answers

Answer:

Step-by-step explanation:

Let x be gallons of 7%

Let y be gallons of 3%

364 = x + y

y = 364 - x

364(0.06) = x(0.07) + y(0.03)

364(6) = x(7) + y(3)

364(6) = 7x + 3y

364(6) = 7x + 3(364 - x)

364(6 - 3) = 7x - 3x

364(3) = 4x

x = 273

y = 364 - 273 = 91

273 gallons of 7%

91    gallons of 3%

Solve the following system of equations.

x - 2y = -2
7x - 3y = 19

Answers

Answer:

Step-by-step explanation:

x-2y=-2     x=2y-2

7x-3y=19

substitute x  with 2y-2

7(2y-2)-3y=19     14y-14-3y=19       11y=33   y=3

substitue 3 for y

x-2(3)=-2     x-6=-2      x=4

x=4, y=3

btw if theres more similar questions like this use symbolab a website that solves and show you step by step in solving equations

really useful

(422 +
+ 72 – 8) and (-2 + 3)
-

Answers

Answer:

HHSheikh Zayed road is dream of a great weekend and It is a great day ☺️ is the only thing I would like to know that you have received your name is a great day and time of year for me is the only thing I want ☺️☺️ and time again and time of reading is a great time of year for the only way we can do it in a few more days to get to get to the only thing that you have a few more days to get to the next day ☺️ is a great weekend too and time of year is the next

Step-by-step explanation:

return policy and time again and I will be in touch with you have any questions or need any further information please contact me at the only thing I would be in touch with ☺️ is the best ☺️ and time is a good time of the only thing I would

4. Solve the equation using square roots.
x2 + 10 = 9

Answers

Answer:

+1/-1

Step-by-step explanation:

assuming the original phrase is  x^2

x^2 + 10 = 9

x^2 = 1

x = +/- 1

Ryan works at the donut shop where he makes $10.25 per hour He also works part time at the school bookstore where he makes $8.75 an hour if he worked 20 total hours last week and made $196 how many hours he did work at the bookstore?

Answers

Answer:

aprometly 19 I think

Step-by-step explanation:

cause don't you have yo divide 196 ÷ 10.25

The persons income increased from 27,000 to 40,000 over the last year. What is the percent change

Answers

Answer:

32.5

Step-by-step explanation:

lcm of 5,12 and 20????,

Answers

Answer: 60

Step-by-step explanation:

Other Questions
WILL GIVE BRAINLISEST Solve for mNLMGOOD LUCKJ! Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that a given software user will call technical support is 97%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions. The ancient Egyptians did not have Blank Select all the correct answers.What are two ways that the Soviet people lost their freedom due in to communism in the Soviet Union?A. People read, saw, and heard only what the government desired.B. Only workers controlled the government.C. Workers were forced to take up farming.D. Leaders came to power through secret internal power struggles. A landowner owned a large tract of land in an area zoned for medium residential use. Permitted uses in this zone are single-family dwellings, condominium and townhouse developments, and moderate density apartment complexes. The landowner subdivided her land into 10 lots and conveyed each lot by a deed restricting the land to single-family use. All deeds were duly recorded and all lots were developed as single-family homes.The owner of lot 1 died and his property passed by will to his niece. Some time later, the owner of lot 3 sold his property to a buyer by a deed that did not contain the covenant limiting use to single-family dwellings. The buyer subsequently sold lot 3 to her friend, and did not include the covenant in the deed. Both deeds were duly recorded. A storm destroyed the friend's home, and in its place he began to build a three-unit townhouse.May the niece sue to enforce the covenant against the friend to prevent him from building the townhouse on lot 3?A. No, because there is no privity with the friend.B. No, because the zoning laws have not been violated.C. No, because there was no restriction in the friend's deed.D. Yes, because the friend's townhouse would alter the landowner's common scheme. Help. Needs to find the value of x Penn Corp. is analyzing the possible acquisition of Teller Company. Both firms have no debt. Penn believes the acquisition will increase its total aftertax annual cash flow by $2 million indefinitely. The current market value of Teller is $54 million, and that of Penn is $84 million. The appropriate discount rate for the incremental cash flows is 10 percent. Penn is trying to decide whether it should offer 45 percent of its stock or $72 million in cash to Tellers shareholders.a. What is the cost of each alternative? (Do not round intermediate calculations. Enter your answers in dollars, not millions of dollars, i.e. 1,234,567.)Cash cost$ Equity cost$ b. What is the NPV of each alternative? (Do not round intermediate calculations. Enter your answers in dollars, not millions of dollars, i.e. 1,234,567.)NPV cash$ NPV stock$ c. Which alternative should Penn choose?StockCash What is the types of atmosphere What is the area of the following circle? Sagar hates people keeping him waiting .(passive voice ) The number of organic compounds that have been reported in 2019 is more than 10 million. This is due to carbon's ability to bond to other carbon molecules, calledelectron affinity.ionic bonding.catenation.electronegativity. Compare the ways in which cliques and gangs are alike. For a given function (x) = x2 x + 1, the operation (x) = (x2 x + 1) will result in aA) reflection across the x-axis.B) horizontal shrink.C) reflection across the y-axis.D) vertical shrink. In 35 words or fewer, what's the last story you heard that was memorable? What about the story made you remember it? identify the types of devices you can use to access your online classroom. Describe the benefits and drawbacks of using each device for coursework. Which device(s) will you primarily use for school and why? why stratosphere is important for life on earth discribe your mother PLS PLS PLS HELP ME! IT IS DUE IN TEN MINUTESFor his next stunt, Super Dave (80 kg) starts running at 2.00 m/s, then slides down a frictionless slide which is elevated 12.0 m above the ground, then slides across the rough asphalt ground to slow him to a stop (ouch!) He slides across the asphalt for 8.00 m before coming to a stop. What is the coefficient of friction between Super Dave and the ground? hi, please help me, solution. Can someone please helpMe