Simon invested £20 000 at a compound interest rate of 2.5% per annum. At the end of n years the investment has a value of £V. Work out the value of V when n=2
Simon invested £20 000 at a compound interest rate of 2.5% per annum. At the end of n years the investment has a value of £V. Work out the value of V when n=2
Explanation is in a file
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Given,
[tex]a = 2 \\ b = 3[/tex]
So,
[tex]N = 4a + 6b \\ N = 4(2) + 6(3) \\ N = 4 × 2 + 6 × 3 \\ N = 8 + 18 \\ N = 26[/tex]
⎇ The value of N is 26.
M = 20
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, that is
160 = k × 4³ = 64k (divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
1) When r = 2, M = 20.
2) When M = 540, r = 6.
Step-by-step explanation:
M is a directly proportional to r cubed
This means that the equation for M has the following format:
[tex]M = ar^3[/tex]
In which a is a multiplier.
When r=4 M=160.
We use this to find a. So
[tex]M = ar^3[/tex]
[tex]160 = a(4^3)[/tex]
[tex]64a = 160[/tex]
[tex]a = \frac{160}{64}[/tex]
[tex]a = 2.5[/tex]
So
[tex]M = 2.5r^3[/tex]
1) work out the value of M when r=2
[tex]M = 2.5*2^3 = 2.5*8 = 20[/tex]
When r = 2, M = 20.
2) work out the value of r when M=540
[tex]M = 2.5r^3[/tex]
[tex]540 = 2.5r^3[/tex]
[tex]r^3 = \frac{540}{2.5}[/tex]
[tex]r^3 = 216[/tex]
[tex]r = \sqrt[3]{216}[/tex]
[tex]r = 6[/tex]
When M = 540, r = 6.
[tex]P = 4d - 3 \\ P = 4 *2 - 3 \\ P = 8 - 3 \\ P = 5.[/tex]
A = $ 21,024.33
A = P + I where
P (principal) = $ 20,000.00
I (interest) = $ 1,024.33
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 2.5%/100
r = 0.025 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 20,000.00(1 + 0.002083333/12)(12)(2)
A = $ 21,024.33
principal plus interest,
from compound interest on an original principal of
$ 20,000.00 at a rate of 2.5% per year
compounded 12 times per year
over 2 years is $ 21,024.33.
m
=
r
3
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r
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160
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Step-by-step explanation:
M<varies>r³
M=kr³(k= constant)
when M=160,r=4
160=k(4)³
160=64k
k=2.5
therefore,M=2.5r³
when r=2
M=2.5r³
M=2.5(2)³
M=2.5(8)
M=20
A. M= 20
B. r = 6
Step-by-step explanation:
M=kr³
where k is the constant
M= 160 , r 4
160= k(4)³
k = 160/4³= 2.5
A. when r= 2 , M= kr³
M= 2.5(2)³ = 20
B. when M= 540, find r
M= kr³
r³ = M/k
r³ = 540/2.5
r³= 216
r = 6
26
Step-by-step explanation:
N = 4a + 6b
Let a=2 and b=3
N = 4*2 + 6*3
Multiply
N = 8+18
Add
N =26