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 pleaseeeeee!!!!!!​

Answers

Answer:

A' (1, -1)     B' (4, -5)     C' (6, -2)

Step-by-step explanation:

Since you're reflecting over the x (horizontal) axis, the y value has to change to show the height is increasing or decreasing (Decreasing in this case).

A (1, 1) --> A' (1, -1)     So (x,y) becomes (x,-y)

Hope this helps!

help please! 90 points

Elsa recorded the different types of ice cream her friends like in the table below: Ice Cream Type Number of Friends Chocolate 3 Pistachio 1 Strawberry 2 Vanilla 4 Which of the following plots represents the data in the table? A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 3 above Pistachio, 2 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 2 above Pistachio, 3 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 4 above Strawberry, and 2 above Vanilla.

Answers

Answer:

Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla

Answer:

The answer is A

Step-by-step explanation:

I took the exam

A
Plz help!!!!!! !!!!!!!!!!!

Answers

Answer:

R is at the ordered pair (4, -2)

Step-by-step explanation:

If you multplied 5x10, would you get the same answer as 5x5x5? Explain your reasoning. DO NOT G O O G L E THE ANSWER!!!!!!

Answers

No because for 5x10, you just add 10 5 times for 50. For 5x5x5, you multiply 5x5 and get 25 then multiply it again with the other 5 and get 125.

Answer:

No

Step-by-step explanation:

No, because 5 × 5 × 5 = 25 × 5 and that does not equal 10×5.

c) Now let’s do another “what if”. What if the normal cost of an office visit to your regular doctor is $80, without insurance? With AAA+ and Health Today you would pay only $25 for the office visit, as it is not part of the deductible. With Best Insurance, if you have not met the deductible yet, you would pay the whole cost of $80. You may have a lot of office visits before you pay the deductible on this insurance. Let’s assume that you have met the deductible and see what the office visit would cost. You will pay 20% of it.

• AAA+
Office Visit = $25

• Health Today
Office Visit = $25

• Best Insurance
Office Visit = 20% of 80 =

Answers

Answer:

$16

Step-by-step explanation:

Stacy and Jessica own a small business. Stacy, working alone can complete a job in 8 hours. Jessica can complete the same job in 9 hours. How long would it take them to complete the job working together?

Answers

Answer:

17 hour

Step-by-step explanation:

8+9=17

PLS HELP 50 POINTS!!!! NEED THIS IN 1 HOUR!!!
Which equation justifies why nine to the one third power equals the cube root of nine?

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third plus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third minus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the three minus one third power equals nine

Answers

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Step-by-step explanation:

we know that

The Power of a Power Property , states that :To find a power of a power, multiply the exponents

so

In this problem we have

Remember that

Raise to the third power

Applying the power of power property

therefore

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Answer:

You’re already a hero!

Helping others is the best! We’re sure you can give a great answer.

Step-by-step explanation:

Given that 6x – 7y=4
Find x when y = 2

Answers

Answer:

x = 3

Step-by-step explanation:

6x - 7y = 4

We are given that y = 2

6x - 7(2) = 4

6x - 14 = 4

Add 14 on both sides to leave the 6x alone

6x = 18

Divide by 6 to isolate x and find the value of x

x = 3

We can further prove this by putting in the value of x

6(3) - 7(2) = 4

18 - 14 = 4

Which is correct

Answer:

3

Step-by-step explanation:

how to simplify 3x - 20

Answers

Answer:

-60

Step-by-step explanation:

you can just do 3x20, which makes sixty, then put change that to negative, since there is a negative in the number

The answer will be -60

Alvin is 14 years younger than elga. The sum of their age is 78.

Answer: 46

Answers

The answer is 46. Hope this helps!

Find the slope of the line that passes through (7, 1) and (2, 3).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Slope formula: (y2-y1)/(x2-x1)
Plug in the values
(3-1)/(2-7) = 2/-5 = -2/5

The slope is -2/5

Answer:

-2/5

Step-by-step explanation:

slope equation is as follows -

(y1-y2)/(x1-x2)

now we just put (7,1) and (2,3) into the formula

(1-3)/(7-2)

-2/5

Orion buys 3 books for a total of 25.50. He pays $8 plus sales tax for each book. He wants to know how much the sales tax is for one book.
Let "t" equal the sales tax Orion pays for each book. Write an equation that represents this situation.

Answers

The equation that represents this situation is 8 + 3t = 25.50.

How to calculate the value?

Let the sales tax for each book be represented as t.

Since Orion buys 3 books for a total of 25.50 and he pays $8 plus sales tax for each book. This will be illustrated as:

Cost of book + Tax = Total amount

8 + (3 × t) = 25.50

8 + 3t = 25.50

Collect like terms

3t = 25.50 - 8.

3t = 17.50

Divide

t = 17.50 / 3

t = 5.83

The sales tax is $5.83.

Learn more about equations on:

brainly.com/question/2972832

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David hikes 2 1/4 mile in 1/2 an hour. if he walks for 7 hours how far will he have gone?

Answers

31 1/2 miles is how much he would have traveled in 7 hours

what is the slope of the line

Answers

Answer:

slope = 3/2

Step-by-step explanation:

Step 1: Select two points from the graph.

(3,0) and (1,-3) are two points on the graph.

Step 2: Apply the formula to find slope- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]\frac{-3-0}{1-3}[/tex] [tex]\frac{-3}{-2}[/tex] [tex]\frac{3}{2}[/tex]

Therefore, the slope is 3/2.

Which two ratios make a proportion. a) 9÷12 and 15÷20 b) 4/25 and 17/101


PLZ ANSWER QUICK will mark branilyist.

Answers

Answer:

I think the answer would be b

A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?​

Answers

Answer:

y - 6 = 1/4(x - 4).

Step-by-step explanation:

The slope m = (7-6)/(8-4) = 1/4

y - y1 = m(x - x1)

Using the point (4, 6)

y - 6 = 1/4(x - 4)  (answer)

The equation of line passes through the points (4, 6) and (8, 7) will be;

⇒ y = 1/4x + 5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 6) and (8, 7).

Now,

Since, The equation of line passes through the points (4, 6) and (8, 7) .

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 6) / (8 - 4)

m = 1 / 4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 6 = 1/4 (x - 4)

⇒ 4 (y - 6) = x - 4

⇒ 4y - 24 = x - 4

⇒ 4y = x - 4 + 24

⇒ 4y = x + 20

⇒ y = 1/4x + 5

Therefore, The equation of line passes through the points (4, 6) and

(8, 7) will be;

⇒ y = 1/4x + 5

Learn more about the equation of line visit:

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Suppose that Nectaria also has 6 chickens. Her neighbor gives her 40 feet of fencing. She must still cut the fencing in lengths that are whole numbers.

What equation can Nectaria write that would allow her to figure out possible dimensions for her chicken pen? Which dimensions would maximize the area of her pen?

EXPLAIN in complete sentences how Nectaria can figure out the possible dimensions for her chicken pen and which dimensions would maximize the area for her chickens.

Answers

Answer:

Max area = 100

10 10 sides

Step-by-step explanation:

here given perimeter for fencing is 40 feet

for it to have maximum area sides

sides length is perimeter / 4

so l = 40/4 = 10

so it is 10 × 10 square

Area = 100

This is the maximum area

A manager that owns 3 local area car maintenance garages was researching certifications of mechanics that worked for her company. consider the following Venn Diagram.

1.How many mechanics work for her company
2.How many are certified to do work on brakes
3.How many are certified by ASE to do work on brakes **and** tune-ups?

Answers

Answer:

B. 1/2

Step-by-step explanation:

In the picture attached, the Venn diagram is shown

amount of ASE certified brakes mechanics: 4+2+2+1 = 9

amount of mechanics: 4+2+2+1+3+3+3 = 18

The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2

There are four consecutive integers that add up to 22 what is the greatest integer

Answers

Answer:

7

Step-by-step explanation:

We can use the equation:

x + (x + 1) + (x + 2) + (x + 3) = 22

Combine like terms

4x + 6 = 22

Subtract 6 from both sides

4x = 16

Isolate x

x = 4

Plug in x

4 + (4 + 1) + (4 + 2) + (4 + 3) = 22

Solve

4 + 5 + 6 + 7 = 22

7 is the greatest integer

7 is the greatest integer

Please help I do not understand what to do or what the answer is

Answers

Answer:

Step-by-step explanation:

[tex](x_{1} ,y_{1}) = (-3 , -4) \\\\(x_{2},y_{2}) = (-7 ,16)\\\\\\Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{16-[-4]}{-7-[-3]}=\dfrac{16+4}{-7+3}\\\\=\dfrac{20}{-4}\\\\=-5[/tex]

(1 , -3) & ( 1 , 0)

The x-coordinates in the points are unchanged. So, the line is parallel to y-axis.

Slope is undefined.

3) (0,2)  , (4 , 0)

[tex]Slope =\dfrac{0-2}{4-0}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]

How do you write 7,700,000 in scientific notation?

Answers

Answer:

7.7 × [tex]10^{6}[/tex]

Step-by-step explanation:

Start off with finding the digits in this case it would be 7,700,000

Now insert a decimal so that it is a number under 10.

That would be 7.7

to figure out what the exponent would be you have to count how many "jumps" the decimal takes to get back to the original number.

It would take 6 "jumps" to end up back to 7,700,000

Now that we have that information we can make the scientific notation

1) Take the number (7.7)

2) Multiply the number by 10 with the exponent of "jumps"

Thus,

7.7 × [tex]10^{6}[/tex]

A rocket sled accelerates from 10 m/sec to 50 m/sec in 2 seconds. What is the acceleration of the sled?

Answers

Answer:

50

Step-by-step explanation:

on edge

Pick two that helppppp please

Answers

Answer:

acute and scalene

Step-by-step explanation:

.

.

.

.

.

Answer:

Acute and Isosceles

Step-by-step explanation:

Acute= less than 90 degrees

Isosceles= two sides of equal length.

plz help will mark as brainliest​

Answers

Answer:

45⁰

according to question the answers is given here in the image / attachment . please follow these steps.

this is my attachment answer hope it's helpful to you

Need help i attached images below i will give brainly to who ever answers first

Answers

Answer:

1. 23

2. 32

3. 9

4. -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

-14x + 21y - 4.9 = 7*(-2x) + 7*3y + 7*(-0.7)

                        = 7*( -2x  +3y - 0.7)

-2x + 3(-5x + 1) = -2x - 15x + 3

                       = -17x + 3

-3x + 5(-8x - 1) = -3x  - 40x - 5

                       = -43x - 5

-4x + 5(-5x - 1) = -4x - 25x - 5

                       = -29x - 5

At an outdoor party location, the tables seat 12 guests each. The party host invited 163 people and 9 people responded that they would not attend. What is the fewest number of tables needed to seat all of the guests attending the party?

Answers

Answer:B

Step-by-step explanation:

Complete the description of the piecewise function graphed below.

Answers

Step-by-step explanation:

not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).

I assume, we have the following points :

(-6, 1.5) (-3, 3)

(-3, 2) (1, 2)

(1, 1) (6, -9)

all 3 segments are lines with the basic function definition

y = ax + b

a is the slope of the line function and is always the factor of x.

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

b is the y-intercept (the y value when x = 0).

the first segment goes from (-6, 1.5) to (-3, 3).

x changes by +3 units (from -6 to -3).

y changes by +1.5 or 3/2 units (from 1.5 to 3).

the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2

giving us the first part

y = (1/2)x + b

b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :

3 = (1/2)×-3 + b

3 = -3/2 + b

6/2 + 3/2 = b

9/2 = b

the full equation is

y = (1/2)x + 9/2 = (x + 9)/2

the second segment is a flat, horizontal line and is simply

y = 2

the third segment goes from (1, 1) to (6, -9) :

x changes by +5 units (from 1 to 6).

y changes by -10 units (from 1 to -9).

the slope of the line is -10/5 = -2

giving us the first part

y = -2x + b

b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :

1 = -2×1 + b

1 = -2 + b

3 = b

the full equation is

y = -2x + 3

The answer is in the pic below!

Chelsea borrowed P10,00 for 18 months at a rate of 10%.How much is the total amount due?​

Answers

Answer:

11,536.89733 (rounded to 11,536.90)

Step-by-step explanation:

10,000(1+0.1)^1.5

P(1+r)^t

P=Principal

r=rate

t=time(in years)

1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC
2. m2BDC=3(x-5) and m--BC=x+25,what is MZA
3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC
4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?

Answers

Answer:

[tex]1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?[/tex]

Step-by-step explanation:

HELP IM LATE LOL In an aquarium, ⅖ of the fish are surgeonfish. Of these, ¾ are yellow tangs. What portion of all fish in the aquarium are yellow tangs?

Answers

Answer:

1 and 3/20 total, 15/20 of the fish are yellow tangs which would also be 75%.

Step-by-step explanation:

2/5 and 3/4 need to be converted into a fraction with a similar denominator. 5x4= 20, so 20 is our denominator.

To find the numerator, we need to multiply 2 by 4, which equals 8, and 3 by 5 which equals 15.

8/20 + 15/20 = 23/20 or 1 3/20

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