Respuesta :

Answer:

[tex]\boxed{\sf \: Simple \: Interest =\boxed{\tt £880}}[/tex]

[tex]\boxed{\sf Amount=\boxed{\tt £4880}}[/tex]

Step-by-step explanation:

Given :

[tex] \sf \: P = £ \: 4000[/tex]

[tex] \sf \: R=5.5\%[/tex]

[tex] \sf \: T=4 \: years [/tex]

Here,

  • [tex] {\star} \rm \: \: P \: means \: Principal[/tex]
  • [tex] \star \: \rm \: R \: means \: Rate[/tex]
  • [tex] \star \rm \: T \: means \: Time[/tex]

Solution:

We know that,

[tex] \boxed{\sf \: Simple\; Interest = \cfrac{P×R×T}{100} }[/tex]

So put their values accordingly:

[tex] \sf \: Simple \: Interest = \cfrac{ 4000 \times 5.5 \times 4 }{1000} [/tex]

Now Solve it:

[tex]\sf \: Simple \: Interest = \cfrac{(4000 \times 5.5) \times 4}{100 } [/tex]

  • Multiply 4000 and 5.5 :-

[tex]\sf \: Simple \: Interest = \cfrac{22000 \times 4}{100} [/tex]

  • Multiply 22000 and 4:

[tex]\sf \: Simple \: Interest = \cfrac{88000}{100} [/tex]

  • Cancel a two zeroes of "88000" and two zeroes of 100:-

[tex]\sf \: Simple \: Interest = \cfrac{880 \cancel{00}}{1 \cancel{00}} [/tex]

  • When "1" is in the denominator, it has no value.

[tex]\sf \: Simple \: Interest = \boxed{£ \: 880}[/tex]

Hence the S.I(Simple Interest) would be £880.

Now We need to find the Amount.

We know that,

[tex]\boxed{ \sf \: Amount=P+S.I}[/tex]

Here,

  • [tex] \star\rm \: P \: means \: Principal[/tex]
  • [tex] \star\rm \: S.I \: means \: Simple \: Interest[/tex]

So put their values accordingly:

[tex] \sf \: Amount=£4000 + £880[/tex]

Solve it:

  • Add:

[tex] \sf \: Amount=£4880[/tex]

Hence, the amount would be £4880.

[tex] \rule{225pt}{2pt}[/tex]

I hope this helps!

The required simple interest is £880

How to calculate the simple interest

The formula for calculating the simple interest is expressed as:

SI = PRT

  • P is the principal
  • R is the rate
  • T is the time

GIven that P= 4000, r = 0.055 and t = 4

Substitute:

SI = 4000 * 0.055 * 4

SI = £880

Hence the required simple interest is £880

Learn more on simple interest here: https://brainly.com/question/25793394