To compute the value of investment in 5 years. We use compounded annually equation. And add 2000 Yearly to the compounded value
A = P * (1 + (r/n))^(n*t)
A<span> = total amount = Unknown</span>
P<span> = principal or amount of money deposited, = 2000 usd</span>
r<span> = annual interest rate = 2.25%</span>
n<span> = number of times compounded per year = 1</span>
t<span> = time in years = 5
</span>
Solution
Year1 : A1 = 2000 * (1 +(0.025/1))^(1*1) = 2045
Year2 : A2 = (2000+2045)*(1 +(0.025/1))^(1*1) = <span>4136.01
Year3 : A3 = (2000+</span>4136.01))*(1 +(0.025/1))^(1*1) = <span>6274.07
Year4 : A4 = </span>(2000+6274.07 ))*(1 +(0.025/1))^(1*1) = <span>8460.24
Year5 : A5 = </span>(2000+8460.24 ))*(1 +(0.025/1))^(1*1) = 1<span>0695.6 </span>
Answer:
5,040 different passwords are possible
Step-by-step explanation:
Assuming that 4-digit means using only numeric values.
This is a permutations problem.
n = number of values used with number values only this is 10
r = the number used in each case without repeating in this case 4
nPr = n! / (n - r)!
nPr = 10! / (10-4)!
nPr = 10! / 6!
The ! means factorial. For example 4! = 4 x 3 x 2 x 1 = 24
A quick hack for dividing factorials is to use cancelling.
10! / 6! = 10 x 9 x 8 x 7 (because 6 to 1 are cancelled by 6!)
= 5040
The correct justification for the first step in solving the provided equation is that the first step should be distributive Property
<h3>What is the property of equality?</h3>
Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.
The equation given in the problem is,
To solve the above equation, we need to open the brackets of the equation. To do this, we need to use the distributive property of the equality.
This can be done by multiplying the number 3 inside the bracket (x-4). This operation simplify the equation, to solve it further. Therefore,
Hence, the correct justification for the first step in solving the provided equation is that the first step should be distributive Property.
Learn more about the property of equality here;
brainly.com/question/1601404
<span>f(x) = x^3 </span>
<span>g(x) = 1+x^2 </span>
<span>Therefore: </span>
<span>H(x) = f[g(x)] = (1+x^2)^3 </span>
Answer:
The correct answer is option 3
2⁻¹⁰ and 1/1024
Step-by-step explanation:
Points to remember
1). ( xᵃ)ᵇ = xᵇ
2). x⁻ᵃ = 1/xᵃ
It is given that, (2⁵)⁻²
<u>To find the equivalent of (2⁵)⁻²</u>
(2⁵)⁻² = 2⁻¹⁰
<u>To find the value of 2⁻¹⁰</u>
2⁻¹⁰ = 1/2¹⁰
2¹⁰ = 1024
1/2¹⁰ = 1/1024
Therefore the correct answer is 3rd option
2⁻¹⁰ and 1/1024
