A sum is invested in a building society at 4% interest per annum and after 3 years
the value of the investment is £562.43. How much was originally invested?

Answers

Answer 1

Answer:

Original value of investment = £500 (Approx.)

Step-by-step explanation:

Given:

Rate per year = 4%

Number of year = 3 years

Value of investment after 3 year = £562.43

Find:

Original value of investment

Computation:

A = P[1+r]ⁿ

562.43 = P[1+4%]³

562.43 = P[1+0.04]³

562.43 = P[1.04]³

562.43 = P[1.1248]

Original value of investment = 562.43 / 1.1248

Original value of investment = 500.026

Original value of investment = £500 (Approx.)


Related Questions

Please help me, this is like the easiest thing but I'm stuck

Answers

Answer: A. 384 sq. mm

Step-by-step explanation: The area for the square is 12x12 or 144. The area for a triangle is base x height x 1/2. Therefore, that would be 12 x 10 x 1/2 or 60. There are 4 sides to this pyramid, so 60 x 4 = 240. We then add 144 and 240 to get 384 sq. mm.

How do you find the area of a cone?

Answers

Surface area of cone = πr(r+√(h2+r2))

where r is the radius of the circular base

h is the height of coneOr

Surface area of cone =πr(r+L)

where L is the slant height of the cone

Answer:

The formula for the area of a cone is 3.14 times the radius times the side

Step-by-step explanation:

what is 5¹? and just what does ¹ mean? like whats the formula for the equation? ​

Answers

Answer:the answer is 5  it means you mutiply five that many times

Step-by-step explanation:

Answer:

5¹=5

5¹ means that you multiply 5 by itself 1 times

I need the answer Immediately before it’s due!!!!!!!!

Answers

y = -1/2x - 1
——————-

∠A and angle ∠B are vertical angles. If m∠ A=(2x-4) and ∠B = (x+1), then find the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

vertical angles are equal so we can write this equation:

2x-4 = x+1

x - 4 = 1

x = 5

Tell whether the angles are complementary, supplementary, or neither

Answers

Answer:

neither

Step-by-step explanation:

43 + 57 = 100

Complementary angles: sum of measures = 90 deg

Supplementary angles: sum of measures = 180 deg

This question: sum of measures = 100 deg

Answer: neither

Answer:

Neither

Step-by-step explanation:

Supplementary angles are angles that have a common side and together have a value of 180 degrees.

Complementary angles are angles that together have a value of 90 degrees.

These angles do not add up to 180 degrees, and do not have a common side, so they are not supplementary. These angles do not add up to 90 degrees, so they are not complementary.

Hank is putting jelly candies into two containers one container is a cylindrical Jar with a height of 33.3 cm and a diameter of 8 cm the other container is spherical pink determines that the candies are selling cylindrical In shape and that each candy has a height of 2 cm and a diameter of 1.5 cm he also determines that air will take up 20% of volume of the containers the rest of the Space will be taken up by the candies after Hank Phils the cylindrical Candies what will be the volume in cubic centimeters of the air in the cylindrical Candies what will be the volume in cubic centimeters of the air in the cylindrical Jar

Answers

Answer:

334.60 but if rounding to nearest whole number its 335

The volume of air in cylindrical jar is 334.60 [tex]cm^{3}[/tex].

What is the volume of cylinder?

The formula to calculate volume of a cylinder is given by the product of base area and its height.

Given

Height = 33.3 cm

Diameter = 8 cm

Radius = [tex]\frac{Diameter}{2}[/tex] = 4 cm

The volume of cylindrical jar = height × Base area

= 33.3 × [tex]\pi.(4^{2} )[/tex]

= 33.3 × [tex]16\pi[/tex]

= 532.8[tex]\pi[/tex] [tex]cm^{3}[/tex]

The air take up 20%

The volume of air in cylindrical jar

= 532.8[tex]\pi[/tex] × 20%

= 106.56[tex]\pi[/tex]

≅ 334.60 [tex]cm^{3}[/tex]

Hence, the volume of air in cylindrical jar is 334.60 [tex]cm^{3}[/tex].

Learn more about volume of cylinder here

https://brainly.com/question/15891031

#SPJ2

Which number is greater than 555,621,000?
A. 5.0 x 10
B. 6.2 x 10
C. 5.55621 x 10
D. 9.99 x 10

Answers

I believe that d is correct

Answer:

D

Step-by-step explanation:
im smart.

A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What is the volume of the pyramid? O 1.170 cubic feet 3,510 cubic feet O 117 cubic feet 390 cubic feet​

Answers

Answer:

the answer is 1170 cubic feet

Step-by-step explanation:

all you have to do is multiply the length times the width times the height and divide it by three then you will get your answer if this helped you should mark this the brainliest!!

Please help with this question!!
I will give BRAINIEST to whoever gives the best answer

Answers

Answer:

C.155

Step-by-step explanation:

CALCULATE IT ITS MA ANSWER

PLS HELP
AND PLEASE EXPLAIN

Answers

Answer:

x=6, y=5 1/3 or 5.3333

Step-by-step explanation:

Jara quiere fabricar un cohete con cartulina. Para ello ha construido un cilindro de 0,25 metros de radio y medio metro de altura y un cono con el mismo radio y la mitad de la altura. ¿Que volumen ocupa su cohete? Ayudaaa

Answers

Respuesta:

0,114 m³

Explicación:

El volumen del cohete será igual a la suma de los volumenes del cilindro y del cono

Volumen del cilindro

El cilindro tiene un radio (r) de 0,25 m y una altura (h) de 0,5 m. Podemos encontrar su volumen usando la siguiente formula.

Vcil = π × r² × h

Vcil = π × (0,25 m)² × 0,5 m = 0,098 m³

Volumen del cono

El cono tiene un radio (r) de 0,25 m y una altura (h) de 0,25 m (la mitad de 0,5 m). Podemos encontrar su volumen usando la siguiente formula.

Vcono = 1/3 × π × r² × h

Vcono = 1/3 × π × (0,25 m)² × 0,25 m = 0,016 m³

Volumen del cohete

Vcohete = Vcil + Vcono = 0,098 m³ + 0,016 m³ = 0,114 m³

Rewrite 7 x 7 x 7 x 7 x 7 using an exponent math

Answers

Answer:

7^5 (7 to the fifth power)

Step-by-step explanation:

those sevens can be represented by 7^5 because there are five sevens to multiply together

you can check the answer by doing 7 x 7 x 7 x 7 x 7=16807

and making sure that 7^5 is also equal to 16807, which it is.

Hope this helps! :)

y = x - 5
x + y = -1

Answers

Answer:

x = 2

y = -3

Step-by-step explanation:

y = x-5

y = -x-1

2x -4 = 0

2x = 4

x =2

y = 2-5

y = -3

Please help!
Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x=36°

the sine rule enables us to find missing angles and sides when given an angleand 2 known sides

Is this triangle congruent by
SAS
SSS
ASA
HL
HA
LL
LA
Not enough information

Answers

Answer:

SAS

Step-by-step explanation:

HELPPP 7TH GRADE MATH PLEASE HELP I UPLOADED A PHOTO

Answers

Answer:

You have to first figure out how many different possibilities there are, here there are 10. And they're asking for the chance that one option will be chosen

Therefore it is 1/10

I'm new to the app, hope that helped

Q10
A group of students were asked to name their favourite burger.
The pictogram shows the results.
The key is missing.
Chicken
Beef
Turkey
Veggie
40 students said Veggie.
How many students said Chicken?

Answers

Answer:

Step-by-step explanation:

what is the 25% of 500​

Answers

Answer:

20

Step-by-step explanation:

125

Step-by-step explanation:

25% of 500

25÷100

multiplied by 500

=125

help me out please <3

Answers

ANSWER is Option C

Use 2πr = 2×3.14×6 = 37.68 inches

Formula for the circumference of a circle: C = pi * Diameter

We are given the diameter, 12 inches, so all we have to do is plug in our values.

C = 3.14 * 12

C = 37.68 inches

Hope this helps!! :)

PLEASE HELP what is the area of this?
B. 5 in
5 in
14 in
3 in 1 3 in
14 in
5 in
5 in

Answers

so because the shape is broken down into right triangles we’ll just use the formula

A = ab/2

and because all of our “a” and “b” are the same

a = 4
b = 3

once we’ve found one triangle

A (one triangle) = 4•3/2
A (one triangle) = 6

we can multiple our answer by 4 to find the total of our whole shape

A = 6•4
A = 24

your answer is 24 in

Find the value for the given variables. Give the variables in simplest radical form. (as a square root)

Answers

Answer:

Step-by-step explanation:

for y

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=10/y

y=10[tex]\sqrt{2}[/tex]

for x

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/[tex]\sqrt{2}[/tex]=x/10[tex]\sqrt{2}[/tex]

x[tex]\sqrt{2}[/tex]=10[tex]\sqrt{2}[/tex]

x=10[tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]

x=10

40:√100 + √9.√36

????​

Answers

Answer:

28

Step-by-step explanation:

[tex]\sqrt{100} + (\sqrt{9} \cdot \sqrt{36}) = 10 + (3 \cdot 6) = 10 + 18 = 28[/tex]

Helppppppp meeeeeee I don’t understanddddd

Answers

Answer:

DF = 9.5

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

DE × DF = DC × DB

5(5 + x) = 5(5 + 4.5) ← divide both sides by 5

5 + x = 5 + 4.5

5 + x = 9.5 ( subtract 5 from both sides )

x = 4.5

Then

DF = DE + EF = 5 + 4.5 = 9.5

solve the inequality 28<6x-2

Answers

Answer:

5 < x

Step-by-step explanation:

28<6x-2

Add 2 to each side

28+2<6x-2+2

30 < 6x

Divide each side by 6

30/6 < 6x/6

5 < x

Answer:

5 < x OR x > 5

same thing just reversed

Step-by-step explanation:

28 < 6x - 2

28+2 < 6x (- 2 + 2)

30 < 6x

30/6 < 6x/6

5 < x

i need help!! im struggling with this question

Answers

Answer:

1 gallon : 25.6 miles

Step-by-step explanation:

So, the way we can find the rate, or ratio between 2 units is to divide one unit by the other unit.

So basically, we see the first set of units is:

2 gallons - 51.2 miles

So basically, for every 2 gallons, there are 51.2 miles.

To find the ratio, or rate, we must find the miles per gallon.

We can do that by dividing both sides by 2:(g=gallons, m=miles)

2g/2=51.2/2m

=

g=25.6

So for every gallon, there is 25.6 miles.

We can write this as:

1 : 25.6

Hope this helps!

Answer:

25.6

Step-by-step explanation:

51.2/2=25.6

A teacher asked four students to estimate the length of a grain of rice. Jack answered 4.5 x 10^-3 kilometer, Lilly answered 4.5 x 10^-3meter, Diego answered 4.5 x 10^-3vcentimeter, and Willa answered 4.5 x 10^-3 millimeter. Who gave the best answer

Answers

Answer:

Lilly

Step-by-step explanation:

According to the literature, the length of a medium grain rice is between 5.3 and 5.9 mm. Let's take the average (5.6 mm) and convert it to meters to compare it with the estimations. We will use the conversion factor 1 m = 1000 mm.

5.6 mm × 1 m/1000 mm = 5.6 × 10⁻³ m

Jack answered 4.5 × 10⁻³ kilometers. We will convert it to meters using the conversion factor 1 km = 1000 m.

4.5 × 10⁻³ km × 1000 m/1 km = 4.5 m

Lilly answered 4.5 × 10⁻³ meters.

Diego answered 4.5 × 10⁻³ centimeters. We will convert it to meters using the conversion factor 1 m = 100 cm.

4.5 × 10⁻³ cm × 1 m/100 cm = 4.5 × 10⁻⁵ m

Willa answered 4.5 × 10⁻³ millimeters. We will convert it to meters using the conversion factor 1 m = 1000 mm.

4.5 × 10⁻³ mm × 1 m/1000 mm = 4.5 × 10⁻⁶ m

As we can see, Lilly gave the best answer (same order of magnitude).

What slope does a horizontal line have? Use a number to fill in the blank

Answers

Attach a photo, I do not know what it is referring to.

Help please I don't understand.

Answers

Answer: Segment XY is tangent to the circle.

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

Explanation:

If XY is tangent to the circle, then the radius ZX would be perpendicular to the tangent XY. In other words, the angle YXZ would be 90 degrees.

Furthermore, it means triangle WXY would be a right triangle.

Effectively, we need to find out if triangle WXY is a right triangle.

Recall that we can use the converse of the pythagorean theorem to find out if a triangle is a right triangle or not.

We have these side lengths of the triangle:

XY = 9.6WX = WZ+ZW = 6.4+6.4 = 12.8YW = 16

Let's say a = 9.6, b = 12.8 and c = 16

The order of 'a' and b doesn't matter. All that matters is that c is the longest side.

Plug those values into the pythagorean theorem and simplify each side.

a^2+b^2 = c^2

(9.6)^2 + (12.8)^2 = (16)^2

92.16 + 163.84 = 256

256 = 256

We end up with a true equation, so the first equation is true for those a,b,c values. Hence, we have shown that the triangle is a right triangle, and this concludes that XY is indeed tangent to the circle.

Jay pays $2.45 for 4 magazines. He later pays $3.75 for 6 magazines. Is the price proportional to the number of magazines? Explain

Answers

Answer:

No, It is not.

Step-by-step explanation:

Step 1: Divide the 2.45 by 4 (We are doing this to find the difference between them so we can find out what to do next.)

[tex]2.45 \div 4\\\\= 0.6125[/tex]

Step 2: Multiply 0.6125 to 6 (Now, that we've found what 1 magazine cost according to the first data, we are multiplying it by 6 because if you multiply that to 4 the answer will be 2.45. So, if we multiply 6, it will show us if they are both proportional, the same.)

[tex]0.6125 \times 6\\\\= 3.675[/tex]

Therefore, these two prices are not proportional.

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