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Anastasy [175]
3 years ago
14

Ellie wants to double her savings of £8000 by investing her money for 16 years.

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

She need a interest rate of 6.25%

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=16\ years\\ P=\£8,000\\ A=\£8,000*2=\£16,000\\r=?

substitute in the formula above  and solve for r

16,000=8,000(1+16r)

16r=2-1

r=1/16

r=0.0625

Convert to percentage

r=0.0625*100=6.25\%

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An = 2^2n-7

Pls. see attachment for the graph.


7 0
4 years ago
Read 2 more answers
As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed
Trava [24]

Answer:

The distance from the ship to the dock is approximately 5.24 miles

Step-by-step explanation:

From the parameters given in the question, we have;

The angle formed between the dock and the lighthouse = 70°

The angle formed between the dock and the lighthouse at the ship = 80°

The distance between dock and the lighthouse = 5 miles (From a similar question online)

By sine rule, we have;

\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}

Therefore, we have;

\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}

\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}

sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi

Therefore;

The distance from the ship to the dock ≈ 5.24 miles

7 0
3 years ago
Donte simplified the expression below. 4 (1 3 i) minus (8 minus 5 i). 4 3 i minus 8 5 i. negative 4 8 i. what mistake did donte
SCORPION-xisa [38]

Donte did a mistake that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an expression:

= 4(1 + 3i) – (8 – 5i)

= 4 + 12i - 8 + 5i  

He did not distribute the subtraction sign correctly for 8 – 5i.

= -4 + 17i

Thus, Donte did a mistake in that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

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2 years ago
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Vanyuwa [196]

Answer:

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0

Step-by-step explanation:

hope this helps!

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2 years ago
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