3) Mary deposits £10000 in an account which pays 5.6% compound
interest per year.
How much will Mary have in her account after 5 years?

Answers

Answer 1

Answer:

FV= £13,131.66

Step-by-step explanation:

Giving the following information:

Initial Investment (PV)= £10,000

Interest rate (i)= 5.6%

Number of periods (n)= 5 years

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

FV= 10,000*(1.056^5)

FV= £13,131.66


Related Questions

???????????????….?????…..?????????

Answers

Answer:

C

Step-by-step explanation:

Sine equals opposite over hypotenuse, which would be y/19. To find y multiply by 19 to get y=19sin33°

Correct answer: 19cos33°

The values given are 19 (hypotenuse), y (adjacent side), and the angle (33°)

The formula for cosine is adjacent side divided by the hypotenuse

After plugging in the values given into the formula cosx=ad/h, we have:

Cos33°=y/19 Here, we need to isolate the Y

And, the final result is
19Cos33°= Y

So, the correct answer is the letter D

What is 5.704 expressed to two decimal places?

Answers

Answer:

5.70, or 5.7.

Step-by-step explanation:

4 is rounded to 70 (4 and below you round down), the 5 stays the same, and then you get 5.70 which you can reduce to 5.7.

Find the average value of f(x)=−5x4+4x−10
over the interval [−2 , 2]

-104

335

67

26

-67

-151

151

-335

104

-26

Answers

Answer:

Step-by-step explanation:

the answer is f(x)= -5x4+4x-10 over [-2,2]

Hey pls help me what is 12*5?

Answers

Answer:

60

Step-by-step explanation:

Thx for the points Imfaoo

60 separate them to make it easier.

Mr porter had eight parties at her house last year the number of guest at each party is shown below 15,19,9,27,21,21,10,14

Answers

Answer:

17

Step-by-step explanation:

Complete question

Mr porter had eight parties at her house last year the number of guests at each party is shown below 15,19,9,27,21,21,10,14. What is the median numbers of those parties

The median value is the value at the middle after rearrangement

On rearranging in ascending order

9, 10, 14, (15, 19), 21, 21, 27

Since there are two values in the middle, we will take the average of the numbers

Median = 15+19/2

Median = 34/2

Median = 17

Hence the median value is 17

help for brainliest !

Answers

Answer:

<EGF = 54

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

<EGF = 1/2  arc EF

<EGF = 1/2  (108)

<EGF = 54

440
36°
B
A
F
Angle BAC and angle DAE are
complementary. What is the
measure of angle DAE?

Answers

Answer:

44 degrees

Step-by-step explanation:

if BAC and DAE are complementary then their sum is equal to 90 degrees

90 - 36 = 44 degrees

Answer:

54

Step-by-step explanation:

your suppose to substract 90 degrees minus 36 = 54

90-36=54

Two frozen yogurt shops opened on the same block . Store A charges $2 for a cup plus $0 .50 per ounce . Store B does not charge for the cup, but charges $1 per ounce . Write a system of equations to represent the problem . Let x represent the weight of the frozen yogurt in ounces and let y represent the cost in dollars . plz help i need to raise my grades :(

Answers

Answer:

Step-by-step explanation:

Two frozen yogurt shops opened on the same block . Store A charges $2 for a cup plus $0 .50 per ounce . Store B does not charge for the cup, but charges $1 per ounce .

SLet x represent the weight of the frozen yogurt in ounces and let y represent the cost in dollars .

System of equation

y = 2 + 0.5x

What is the next step

Answers

Answer:

measure of angle ABC is 6 degree.

Step-by-step explanation:

After you found x, you'll plug it in the equation of the angle it's asking for.

Measure of angle ABD, and you know measure of angle ABC = 4x-1.

4(1)-1 = 4-1 = 3

Measure of angle CBD = 2x+1.

2(1) +1 = 3

Measure of angle ABC is ABD + CBD

3 + 3 = 6

Answer:

Step-by-step explanation:

We know that is 4x - 1 + 2x + 1

So it equals

6x

or 6 ( 1) = 6°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

You can answer either question but just know you will get brainliest!

Answers

Answer:

1. x= -4

2. x= 7

Step-by-step explanation:

hope this helps :)

Which body system is responsible for exchange of oxygen and carbon dioxide between the body and the atmosphere?
Answers :
A. Nervous System
B. Excretory System
C. Circulatory
D. Respiratory System

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

Answers

I believe the answer is d

What equation can I
use to find 42×51

Answers

Answer:

2142

Step-by-step explanation:

HELP! THIS IS DUE TODAY, and i will mark brainlest!

Answers

Answer: The first one:

The graph is a function because each input has exactly one output.

Please mark brainliest.  Hope this helps.

For you guys not for me- The orca weighs 4 tons. How many pounds is that

Answers

Answer:

8,000 pounds

Step-by-step explanation:

1 US ton = 2,000 pounds

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

8000 pounds.

1 ton is 2000 pounds

4 tons = 8000 pounds

Thanks Hope it helps.

Which fraction has a repeating decimal as its decimal expansion?

Answers

Answer:

3/11

Step-by-step explanation:

3 divided by 11 = 0.27272727272

nine red balls and six blue balls are in a bag. if two were selected at random, determine the probability of selecting two red balls. set up the problem as if it would be solved but don't solve

Answers

Answer: (9/15)(8/14)=

Explanation: 9 out of the 15 total balls are blue and when you remove one blue ball, 8 out of fourteen balls are blue. These fractions are the chances of drawing each ball separately, so you multiply the chances together to get the chance of both happening.

8(4x-1)-12x=2(11x-3)

Answers

Answer:

Solving for X? would be 1

Step-by-step explanation:

32x-8-12x=22x-6

20x-8=22x-6 then subtract 20x from each side and add 6 to each side

2=2x then divide by 2 and getting 1 is x

Answer:

x=-1

Step-by-step explanation:

1. 10x +14 y+8 37 27 +3 4y-19 X+77.​

Answers

Answer:

Step-by-step explanation:

Find the surface area of the composite figure

Answers

solution given:

For Cuboid

length[l]=11mm

breadth [b]=9mm

height[h]=6mm

For semi cylinder

height[H]=11mm

radius[r]=[tex] \frac{9}{2}=4.5mm[/tex]

Now

Totalsurface area=2(lb+bh+lh)+½(2πr(r+H))-l*b[/tex]

:2(11*9+9*6+11*6)+22/7*4.5(4.5+11)-11*9

:438+219.2-99

:558.2mm²

Here area of base is subtracted as it is not included.

Total surface area of composite figure is :558.2mm².

Answer:

[tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Factoring

Geometry

Shapes

Congruency

Congruent sides and lengths

Radius Formula: [tex]\displaystyle r = \frac{d}{2}[/tex]

d is diameter

Surface Area of a Rectangular Prism Formula: SA = 2(wl + hl + hw)

w is widthl is lengthh is height

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify

[Rectangular Prism] w = 9 mm

[Rectangular Prism] l = 11 mm

[Rectangular Prism] h = 6 mm

[Cylinder] d = 9 mm

[Cylinder] h = 11 mm

Step 2: Derive

Modify Surface Area equations and combine

[Surface Area of a Cylinder Formula] Factor:                                                 [tex]\displaystyle SA = 2(\pi rh + \pi r^2)[/tex][Surface Area of a Cylinder Formula] Divide by 2 [Semi-Cylinder]:              [tex]\displaystyle SA = \pi rh + \pi r^2[/tex][Surface Area of a Semi-Cylinder] Substitute in r [Radius Formula]:             [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d}{2})^2[/tex][Surface Area of a Semi-Cylinder] Evaluate exponents:                                [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d^2}{4})[/tex][Surface Area of a Semi-Cylinder] Multiply:                                                    [tex]\displaystyle SA = \frac{\pi dh}{2} + \frac{\pi d^2}{4}[/tex][Surface Area of a Rectangular Prism] Remove top:                                      [tex]\displaystyle SA = 2(wh + lh) + lw[/tex]Combine Surface Area equations:                                                                  [tex]\displaystyle SA_{Total} = \frac{\pi dh}{2} + \frac{\pi d^2}{4} + 2(wh + lh) + lw[/tex]

Step 3: Find Surface Area

Substitute in variables [Combined Surface Area equation]:                         [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (9 \ mm)^2}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (81 \ mm^2)}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Multiply:                                                                                                            [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[54 \ mm^2 + 66 \ mm^2] + 99 \ mm^2[/tex][Brackets] Add:                                                                                                 [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[120 \ mm^2] + 99 \ mm^2[/tex]Multiply:                                                                                                            [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 240 \ mm^2 + 99 \ mm^2[/tex]Add:                                                                                                                   [tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]

Sarah Goes To Dinner With 2 Of Her Friends. The Total Cost Of Dinner Is $61.92 Her Friends Pay 2/3 of the total cost. Exactly How Much Does Sarah Pay ?

Answers

Answer:

$20.64

Step-by-step explanation:

if you cut 61.92 in to thirds

61.92/ 3= 20.64

so if Sarah's friends payed 2/3 of the bill Sarah herself payed 1/3 which is $20.64

9 tickets to a theme park cost £243, how much would 7 tickets cost

Answers

Answer:

£189

Step-by-step explanation:

Divide the cost by 9 to find the cost of 1 ticket, then multiply this by 7

cost of 1 ticket = £243 ÷ 9 = £27

cost of 7 tickets = 7 × £27 = £189

Miguel walked Ask Your Teacher mile to the library and then Ask Your Teacher mile to the post office. How can he write Ask Your Teacher and Ask Your Teacher as a pair of fractions with a common denominator?

Answers

Answer:

[tex](\frac{5}{10},\frac{6}{10})[/tex]

Step-by-step explanation:

Given

[tex]Library \to \frac{1}{2}[/tex]

[tex]Post\ Office \to \frac{3}{5}[/tex]

See comment for complete question

Required

Write as a common denominator

Take the denominator of both fractions

[tex]2 \to[/tex]

[tex]5 \to[/tex]

Calculate the LCM

[tex]2 \to 1 * 2[/tex]

[tex]5 \to 1 * 5[/tex]

[tex]LCM = 1 * 2 * 5[/tex]

[tex]LCM = 10[/tex]

Multiply the numerator and the denominator of both fractions by 10

Simplify each to ensure a denominator of 10

[tex]\frac{1}{2} \to \frac{1}{2} * \frac{10}{10} \to \frac{1}{1} * \frac{5}{10} \to \frac{5}{10}[/tex]

[tex]\frac{3}{5} \to \frac{3}{5} * \frac{10}{10} \to \frac{3}{1} * \frac{2}{10} \to \frac{6}{10}[/tex]

Hence, the pair is:

[tex](\frac{5}{10},\frac{6}{10})[/tex]

In the diagram, the measures of 23 and 27 are 45°. The measure of Z5 is 135º. Are lines cand d parallel? e 1. 2 3 d 6 5 7 8​

Answers

Answer is A angles 3 and 7 are congruent

Can you help me, I would appreciate it very much:(

Which is the answer?

A.1
B.5
C.8
D.2

Answers

C
As they r corresponding angles, they equal one another.

Help me with this please!!!!!!!!

Answers

d = 12.25

Step-by-step explanation:

d = √(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2

P1(0, 0, 0) P2(-1, 7, -10)

Substitute the values in the above equation and you will get

d = √(-1 - 0)^2 + (7 - 0)^2 + (-10 - 0)^2

= √(1 + 49 + 100)

= √150

= 12.25

Answer:

12.25

Step-by-step explanation:

Pls anyoneee I neeed help

Answers

Answer:  11 goes in the blank in the denominator

The probability as a fraction is 5/11

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

Explanation:

There are 250 red and 300 blue. This gives 250+300 = 550 total marbles.

Divide the number of red (250) over the number total (550) to get the fraction 250/550. Reduce this fraction by dividing both parts by 50. Note how 50 is the GCF of 250 and 550.

Let A = 250 and B = 550.

A/GCF = 250/GCF = 250/50 = 5 which is the numerator already written for usB/GCF = 550/50 = 11 will go in the blank in the denominator

The fraction A/B = 250/550 fully reduces to 5/11.

We can think of it like saying "There are 5 red marbles out of 11 total".

5/11 = 0.4545 = 45.45% approximately

You won $1000 in a radio contest. If you invest it in an account that pays 4.5% interest compounded semiannually, what will be your balance after 4 years?


please answer I'll give you five stars ​

Answers

Answer:

[tex]A= P( 1 + \frac{r}{n})^{nt}\\[/tex]

P = 1000

r = 4.5% = 0.045

n = semi annually = 2

t = 4

[tex]A= 1000( 1 + \frac{0.045}{2} )^8 =1000(1 +0.0225)^8= \$ 1194.83[/tex]

A storm blew over a billboard 27 feet so that it is leaning against a pole 21 feet. How far from the base of the pole is the base of the billboard?

Answers

the base is 6ft of the billboard

It’s all in the picture. WILL GIVE BRAINIEST TO CORRECT ANSWER

Answers

1. C
2. A
3. D
4. B

The 5 vertical lines shows the (left to right) minimum value, quartile 1, median, quartile 3, and maximum value.

Please help I have 15 minutes!!!!!!!

Answers

Answer:

NO WAIT NO IGNORE MY PREVIOUS ANSWER

NOT A FUNCTION

If you draw vertical lines on the dotted line, one line will intersect two parts of the dotted line, so it is not a function.

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