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Masteriza [31]
3 years ago
13

Colin invests £3300 into his bank account.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer:

$3714.18

Step-by-step explanation:

From the question;

Amount invested is $3300

Rate of interest 3% per year compound interest

Time is 4 years

We want to determine the amount that accrued after 4 years

In this case we are going to use the compound interest formula;

That is;

A=P(1+(\frac{R}{100})^nwhere A is the amount, P is the principal , r is the rate of interest and n is the time taken.

Therefore;

Amount=3300(1+(\frac{3}{100})^4\\             = 3300(1.03)^4\\             = 3300(1.1255)\\             = 3,714.179

= $3714.18

Therefore, the amount accrued after 4 years is $3714.18

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a rectangular prism has a volume of 810 cubic meters. it has a length of 10 meters and a width of 9 meters. What is the height o
Ainat [17]

Answer:

The height of the prism is 9 meters

Step-by-step explanation:

* Lets describe the rectangular prism

- The rectangular prism has six rectangular faces

- Two of them are bases and the other four are side faces

- The rectangular prism has three dimensions length, width , height

- The volume of any prism = Area of the base × its height

∵ The base of the rectangular prism is a rectangle

∵ Area any rectangle = length × width

∴ The volume of the rectangular prism V = length × width × height

* Lets solve the problem

∵ The volume of the prism is 810 meter³

∵ Its length is 10 meter

∵ Its width is 9 meters

∵ V = length × width × height

- Substitute the values of the volume , the length and the width in

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∴ 810 = 10 × 9 × h

∴ 810 = 90 × h

- Divide both sides by 90

∴ 9 = h

∴ The height of the prism is 9 meters

6 0
3 years ago
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-16)^{\circ}∠A=(2x−16) ∘ and m\angle B=(5x+28)^{\circ}∠B=(5x+28) ∘ ,
Otrada [13]

Answer:

The measure of angle A is 32

Step-by-step explanation:

A+B=180

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7x+12=180

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x=24

A=2(24)-16

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A=32

6 0
4 years ago
Write the inequality represented by the graph below.
Ipatiy [6.2K]

Answer:

y > -x + 3

Step-by-step explanation:

find the slope and y-intercept so you can create a linear equation:

y = mx + b ;   m = slope and  b = y-intercept

slope (m) = (3-0) / (0-3)

m = 3/-3 or -1

we can see the y-intercept by looking at the graph, it is 3

y > -x + 3

6 0
2 years ago
The coordinates of rectangle ABCD are A(1, 2), B(4, 5),C(9, 0) and D(6, -3). What is the area of the rectangle? 18 square units
Natali5045456 [20]
In order to find the area of a rectangle, the formula is L*W (Length multiplied by Width). Our goal is to find these two measurements, so we will take the following steps:
1) Plot the coordinates on a graph (I have attached a visual guide)
2) Using the Pythagorean Theorem, or the Distance formula we can find the length and width: \sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}
3) We will use these values in the Area formula for a rectangle (L*W)
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4 0
3 years ago
What is the expanded form for 600,000 + 80,000 + 10
svlad2 [7]
680,010 hope that helps
3 0
3 years ago
Read 2 more answers
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