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3 years ago

VelS

Mathematics

1 answer:

romanna [79]3 years ago

7 0

Answer:

the amount after 2 years is £2,121.80

Step-by-step explanation:

The computation of the amount after 2 years is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= £2,000 × (1 + 0.03)^2

= £2,000 × 1.03^2

= £2,000 × 1.0609

= £2,121.80

Hence, the amount after 2 years is £2,121.80

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In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?

nexus9112 [7]

Answer:

120 gold is in the alloy

Step-by-step explanation:

G:S

6:4

6+4=10

200/10=20

20*6=120

Hope this helps!

4 0

3 years ago

A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1

monitta

Answer:

Q1:

Share of the daughter (x):

2x + x + x + $1,000 = $9,000

4x = $8,000

x = $2,000

Share of the wife:

= 2($2,000)

= $4,000

Share of the son:

= $2,000 + $1,000

= $3,000

Answer: wife, $4,000; son, $3,000; daughter, $2,000

Q2:

= 1/2x + $1,000

Answer: 1/2x + $1,000: expression for share of the son

Proof (the wife shares $4,000):

Share of wife (x):

x + 1/2x + 1/2x + $1,000 = $9,000

2x = $8,000

x = $4,000

Step-by-step explanation:

hope it helps!

6 0

3 years ago

Write an expression that is equivalent to 5(x + 2) - 7(x + 2)?

bekas [8.4K]

Answer:

-2x-4

Step-by-step explanation:

Just simplify

3 0

3 years ago

Read 2 more answers

A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th

pochemuha

Answer:

$x^2 + 15x - 60 = 0$

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

$(x + 15)\ by\ x$

$Area = 60in^2$

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

$Area = Length * Width$

$60= (x + 15) * x$

Open Bracket

$60= x^2 + 15x$

Subtract 60 from both sides

$x^2 + 15x - 60 = 0$

<em>Hence, the above represents the quadratic equation</em>

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 1$

$b = 15$

$c = -60$

So:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}$

$x = \frac{-15 \± \sqrt{225 + 240}}{2}$

$x = \frac{-15 \± \sqrt{465}}{2}$

$x = \frac{-15 \± \21.56}{2}$

Split:

$x = \frac{-15 + 21.56}{2}$ or $x = \frac{-15 - 21.56}{2}$

$x = \frac{6.56}{2}$ or $x = \frac{-36.36}{2}$

$x = 3.28$ or $x = -18.18$

But length can't be negative;

So:

$x = 3.28$

The actual dimensions: $(x + 15)\ by\ x$ is

$Length =3.28 +15$

$Length =18.28$

$Width = x$

$Width =3.28$

<em>The actual dimension is 18.28 by 3.28</em>

3 0

3 years ago

The sum of two integers is 74. The larger is 26 more than twice the smaller.Find the two integers

irina [24]

Let... the smaller integer be x

Then, the larger integer is 2x+26(Two times.. =2x, 26 more... is =2x+26

Both added is 74

2x+26=74

2x=74−26

2x=48

x=24

5 0

3 years ago

Read 2 more answers