1. £1000 is invested for 2 years at 5% per annum with compound interest. Work out the total amount in the account after 2 years.

Answers

Answer 1
1000x1.05^2 =£1102.5
Answer 2

Answer:

A = £1102.50

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r)^t, where P is the principal, r is the interest rate as a decimal fraction, and t is the number of years.

Here A = £1000·(1 + 0.05)^2, which evaluates to  A = £1102.50


Related Questions

help me please!!!??

Answers

Answer:

1/6

0.95833333333

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

1/6 (1/4) + 17/24 = 1/24 + 17/24

=3/4


Can sides with lengths of 8, 3, 8 form a triangle

Answers

no the sume of the lengths of any two sides of a triangle must be greater than the lenght of the third side

Answer:

Yes, sides with lengths of 8, 3, 8 can form a triangle. The type of triangle sides with these lengths would form is called an isosceles triangle. Isosceles triangles have three sides, two of which are equal.

kelsey bought a new jackat. the jackat costs $ 150.00 she will pay 7% in sales tax how much money will she pay in sales tax

Answers

Answer:

10.50

Step-by-step explanation:

Answer:

she will pay $10.50 in sales tax and $160.50 in total

Step-by-step explanation:

first, find 7% of 150.

150*.07=10.5

add 10.5 to the total

Which is the function represented by the table?

Answers

Answer:

its the first one on the list bc when x is 0 you get f(x) = 1 and thats the only fjnction that does that with all of them.

Answer:

f(x) = - 2x + 1

Step-by-step explanation:

The equation of a linear function in slope- intercept form is

f(x) = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table

m = [tex]\frac{-3-3}{2-(-1)}[/tex] = [tex]\frac{-6}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

The function crosses the y- axis at (0, 1 ) ⇒ c = 1

f(x) = - 2x + 1

Item 38 Pre-Test: What category of magazine saw the largest number of new titles during the late 1800s

Answers

Answer:

Women's magazines

Step-by-step explanation:

Write 1.42 as a mixed number in simplest form.
1.42=
The decimal is repeating

Answers

Answer:

71/50

Step-by-step explanation:

Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are represented in the circle graph below. About how much time altogether was spent on homework and eating?

Can Someone Help me please

Answers

Answer:

As no graph is provided you can only solve it.Steps provided below

Graph of 7students so there must be 7 partsMark the point on graph where home work and painting is mentioned.Add both the respective values

Yes you have done it

x =


A )10

B) 8

C) 9




Help me please this note is just so it will stop saying this is to short

Answers

A) is the following answer ,

Answer:

8

Step-by-step explanation:

it just makes sense, 5=10, therefore 4=8.

help me plz with this

Answers

Answer:

1-a

2-e

3-d

4- c  

5- b

Step-by-step explanation:

Find the perimeter. Simplify your answer.

Answers

Answer:

20u-26

Step-by-step explanation:

To find the perimeter we have to add up all the sides

9u-6+u-7+9u-6+u-7

Combine light terms and we get

20u-26

Write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of 5 3 − = x y that passes through the point (8, 5).

Answers

Answer:

e

Step-by-step explanation:

15. (07.05 MC)

What is the solution to the equation 5x + 2(x - 4) = 5x + X - 10?


Answers

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

→ Expand the brackets

5x + 2x - 8 = 5x + x - 10

→ Collect the x terms

7x - 8 = 6x - 10

→ Minus 6x from both sides

x - 8 = -10

→ Add -8 to both sides

x = -2

Solve for b.

8b−1=24b+4


Enter your answer in the box.

Answers

Answer:

b=-5/16

Step-by-step explanation:

-5/16.

Work:
8b-1=24b+4
8b-1+1-24b=24b+4+1-24b (add 1 to both sides)
8b-24b-1+1=24b-24b+4+1 (subtract 24 to both sides)
-16y=6 (divide)
y=-16/5

Hi i need the answer to this asap please

2 divided by 3

please explain how you got answer like show work

please do not answer in decimal form or the answer from go ogle

and please dont just answer for points

Answers

0.66666666666
I got it from the internet?
The only way to answer it other than decimal form would be as a fraction. This would simply be 2/3 (two over three). It cannot be simplified any further, so that is your answer.

HELPPPPPPPPPPPPPPPPPPP​

Answers

Answer:

HWHAHAHAHA hatdog

jejdisisisiwis

PLEASE HELP ME NOW!!!!! ILL GIVE BRAINLIEST!!!

Answers

Answer:

its C. 17/10

Bcs 3/2

=1.5

And on the figure shown 1.5 comes in c

Mark me BRAINLIEST
Just gonna say nothing……. You need 2 ppl to mark someone brainlest

can someone help mee pleaseee

Answers

f(x) = x^2 - 13x + 30

Step-by-step explanation:

A quadratic equation may be expressed as a product of the two binomials. The roots of the equations are 3 and 10, so the factors are (x-3) and (x-10).

f(x) = (x-3)(x-10)  

f(x) = x^2 - 13x + 30

In a random sample of 520 adults, the mean was 150 and the standard deviation was 4. 5. The study was reported with a 95% confidence level, and the confidence interval for the study was 150 ± 0. 39. What range of values shows the confidence interval for the study? 146. 1 to 153. 9 149. 61 to 150. 39 150 to 150. 39 150 to 153. 9.

Answers

Using the principle of confidence interval, the range which shows the confidence interval of the study is (149.61 ; 150.39)

The confidence interval is defined thus :

150 ± 0. 39

Lower boundary = 150 - 0.39 = 149.61

Upper boundary = 150 + 0.39 = 150.39

Therefore, the confidence interval for the study would be (149.61 ; 150.39)

Learn more : https://brainly.com/question/25562438

reduce 4/36 to simplest terms


a. 1/8

b. 2/13

c. 1/9

d. 2/12

PLS ANSWER THISS :D

Answers

Answer:

C

Step-by-step explanation:

HCF of 4 and 36 is 4

Divide the numerator and denominator by 4

[tex]\dfrac{4}{36}=\dfrac{4*1}{4*9}=\dfrac{1}{9}[/tex]

The question is the img. Please answer both if u can

Answers

Problem 1

x = number of weeks

y = amount left on gift card (in dollars)

He starts with $100. Then each week he spends $4.99 which means we subtract 4.99x from the 100 mentioned. We form the expression 100 - 4.99x which is the same as -4.99x + 100

The equation y = -4.99x + 100 is in slope intercept form with m = -4.99 as our slope and b = 100 as the y intercept.

Answer:  y = -4.99x + 100

=======================================================

Problem 2

The y intercept is 100 because it's the starting amount. Mark the point (0,100) on the graph.

We need one more point to form a straight line. Let's say we picked something like x = 4 to plug into the equation found earlier

y = -4.99x + 100

y = -4.99*4 + 100

y = -19.96 + 100

y = 80.04

After x = 4 weeks, Mark has y = 80.04 dollars left on the card. We'll plot the point (4, 80.04). Then we connect those points with a straight line.

Check out the diagram below.

The location of (4, 80.04) can be visually marked as (4,80) since it's close enough in my opinion.

Which expression has a sum of one and eight thirtieths?

Question 5 options:

three sixths + three fifths


four sixths + three fifths


four sixths + four fifths


five sixths + one fifth

Answers

Answer:

[tex]\frac{4}{6}+\frac{3}{5}[/tex]

Step-by-step explanation:

1 + [tex]\frac{8}{30}[/tex] = [tex]\frac{30}{30}[/tex] + [tex]\frac{8}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{3}{6}[/tex] + [tex]\frac{3}{5}[/tex] = [tex]\frac{3.5}{6.5} + \frac{3.6}{5.6}[/tex] = [tex]\frac{15}{30} + \frac{18}{30} = \frac{33}{30}[/tex] = [tex]\frac{11}{10}[/tex]

[tex]\frac{4}{6} + \frac{3}{5} = \frac{4.5}{6.5} + \frac{3.6}{5.6} = \frac{20}{30} + \frac{18}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]

[tex]\frac{4}{6} + \frac{4}{5} = \frac{4.5}{6.5} + \frac{4.6}{5.6} =\frac{20}{30}+\frac{24}{30}[/tex] = [tex]\frac{44}{30}[/tex] = [tex]\frac{22}{15}[/tex]

[tex]\frac{5}{6}+\frac{1}{5}=\frac{5.5}{6.5}+\frac{1.6}{5.6}=\frac{25}{30}+\frac{6}{30}=\frac{31}{30}[/tex]



4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.

Answers

Answer:

87

Step-by-step explanation:

earning rate (R) = $5/hr

total (T) = $287

time (t) = 40 hr

tips = T - Rt

= $287 - $5*40

$87

four w plus ten equals negative w

Answers

Answer:

4w+10=-w

w=-2

Step-by-step explanation:

First, write out the equation in the algebraic form to make it easier to solve. This equation written out is 4w+10=-w. Then, isolate the variable and solve. Do this by subtracting 4w from both sides. Then, divide both sides by -5.

4w+10=-w10=-5w-2=w

Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating. 20% tip on a bill of $123.42 The amount of the tip is approximately $​

Answers

Answer:

$24

Step-by-step explanation:

First, we round to the nearest tenth.

$120

Now, we calculate the tip amount.

[tex].20 * 120 = 24[/tex]

Which statement is true regarding the functions in the graph?

F(6)=g(3)
F(3)=g(3)
F(3)=g(6)
F(6)=g(6)

Answers

the Answer is f(3) = g(3)

Sara took skydiving lessons. The Skydome charges $45 per hour for lessons. Sara also gave her Skydiving Instructor a tip of $20. Define the unknown in the scenario and assign it a letter or symbol. math

Answers

Answer:

45+20=t   t=65

Step-by-step explanation:

t is my assigned letter

Hope this helps

A stadium has fixed expenses of $20,000 per event. Last month it put on three big events and spent $50,000, $35,000, and 40,000 in advertising for them respectively. These events ended up earning a total of $500,000 in revenue. What was the stadium's profit margin last month?

Answers

Answer:

315,000

Step-by-step explanation:

(50,000+20,000)+(35,000+20,000)+(40,000+20,000)=185,000

500,000-185,000=315,000

A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?

Answers

Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).  

First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."  

 5x+4y=2

-5x     -5x  (subtract 5x from both sides to move it to the right side of your equation)

4y = 2 - 5x

/4  /4  /4 (divide all the terms by 4 to get "y" by itself)

y = (1/2) - (5/4)x  ... I suggest leaving your slope as a fraction.

Now, we know that our slope, m , is going to be -(5/4).  

Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know:

y = 5

m = -(5/4)

x = 7

y=mx+b

5=(-5/4)(7) + b  -> I plugged in what we knew for y, m, and x.  

5 = -(35/4) + b  -> I multiplied the numbers in the numerator (5 x 7) to get 35/4

20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4)

+(35/4) +(35/4)  -> I add (35/4) to both sides to isolate b

55/4 = b ... or b = 13.74

Answer:  

m = -(5/4)

b = 13.75

The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]

The line passes through the points (5, -1) and (7, -5)

That is [tex]x_1=5, y_1=-1, x_2=7, y_2=-5[/tex]

Calculate the slope(m) using the formula below:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-(-1)}{7-5} \\\\m=\frac{-4}{2}\\\\m=-2[/tex]

The equation of the new line perpendicular to the line above will be given as:

[tex]y-y_1=\frac{-1}{m} (x-x_1)\\\\y-(-1)=\frac{-1}{-2} (x-5)\\\\y+1=\frac{1}{2}(x-5)\\\\y=\frac{1}{2} x-\frac{5}{2} -1\\\\y=\frac{1}{2} x-\frac{7}{2}[/tex]

The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]

Learn more here: https://brainly.com/question/17684243

x=-5y+2
x=3y-2
elmantion or substutuion

Answers

Answer:

y = 1/2

Step-by-step explanation:

x = -5y+2

x=3y-2

substitute for x ans solve

3y-2=-5y+2

8y-2=2

8y = 4

y= 4/8

y=1/2

An acute angle of a right-angled triangle is twice the other acute ongle find them​

Answers

Answer:

30° and 60°

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle

(180 - 90) : 3 = 30

30 * 2 = 60

----------------------

check

90 + 30 + 60 = 180°

the answer is good

Other Questions
A pool with a square bottom is to have a volume of 2000 cubic feet. The owners plan to use a fancy tile to complete the pool. The sides of the pool will cost $80 per square foot and the bottom of the pool will cost $40 per square foot. Find the pool dimensions that will minimize the cost of construction. What is a settlement pattern What is the answer to the first one? births that take place prior to ________ weeks of gestation are considered to be preterm births. I already Have the answer but can u guys show the work? True or False: Increases in the width of long bones is a result of bone modeling. Which number is a zero of the given function?g(x) = (x^2 36) (x + 7) Imagine if Rutherford conducted his scattering experiment, and his prediction about the movement of alpha particles held true Which of the other models or scientificobservations would have also been confirmed?The Bohr model would have been confirmed because it shows electrons spinning around a nucleusThe plum pudding model would have to be true as well because it shows that electrons are scattered within an atom,The Bohr model would have been confirmed because it shows electrons occupying random positions inside the electron cloud.The plum pudding model would have to be true as well because it shows that all positive charge is concentrated at the center of the atom Complete the following paragraph about the Founders.The Founders is a collective term used to refer to the people, all white men, who were important in the creation of the United States. This meant they were seeking independence from Great Britain at the same time many of the Founders held people in bondage. This reflects a BLANK . About BLANK of the Founders were enslavers.BLANK1 OPTIONS 1. Contradiction, Collaboration, CongruenceBLANK2 OPTIONS 2. Half, 75%, 10% Select the correct answer. What does the passage imply about children and learning? A. Children are usually rowdy so teachers need to be strict disciplinarians. B. Children are overly passive in school and therefore do not learn well. C. Children who learn facts and conform will likely succeed in life. D. Children would be best served if allowed to develop as individuals. PLS NEED HELP!!!!!!Read the sentence below and then answer the question:"Kyle and his frog were happily eating a slice of yellow cake."What part of speech is the word "eating" in this sentence?adjectivenounverbadverb Explain The element lithium has two common isotopes: Li6 and Li7 If the average atomic mass of lithium is 6.94004 u, determine its percent isotopic step by step please urgently Examine the model here showing the Milky Way galaxy. Which statements are accurate regarding the galaxy? Select all THREE thatapply. Matthew Bishop from the book the cradle is what type of character A fighterB heroC dangerousD lovingE All of the above 2/5+3/10/7/9pls hlp Sensory adaption.What's a personal experience you've had with this?Easy pts.! Feel free to make it up if you want :)It's for my Psychology class and I dk wt to write lolI will give Brainliest too Which statement describes the sequence -9, -3, 3, 9, 15, ...?O A.an arithmetic sequence with common difference -9OB.an arithmetic sequence with common difference 3C.an arithmetic sequence with common difference 6O D. not an arithmetic sequence All of the following are loss of control risks except ________. (1pts) Question 36 - All of the following are loss of control risks except ________. high unit cost forever vendor in driver's seat identity changes technology direction enhancements in wrong priority Define radical ?Wite its type with example. Name 5 considerations the president must take when picking the cabinet