Answer: A = 2000(1.05)^5
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $2000
r = 5% = 5/100 = 0.05
n = 1 because it was compounded once in a year.
t = 5 years
Therefore, the equation that shows how much money will be in the account after five years is
A = 2000(1 + 0.05/1)^1 × 5
A = 2000(1.05)^5
Answer:
y = -2x + 1
Step-by-step explanation:
Use slope intercept form, y = mx + b, where m is the slope and b is the y intercept:
Plug in the slope and y intercept:
y = mx + b
y = -2x + 1
So, the equation of the line is y = -2x + 1
If you get 0 as the last value in the bottom row, then the binomial is a factor of the dividend.
Let's say the binomial is of the form (x-k) and it multiplies with some other polynomial q(x) to get p(x), so,
p(x) = (x-k)*q(x)
If you plug in x = k, then,
p(k) = (k-k)*q(k)
p(k) = 0
The input x = k leads to the output y = 0. Therefore, if (x-k) is a factor of p(x), then x = k is a root of p(x).
It turns out that the last value in the bottom row of a synthetic division table is the remainder after long division. By the remainder theorem, p(k) = r where r is the remainder after dividing p(x) by (x-k). If r = 0, then (x-k) is a factor, p(k) = 0, and x = k is a root.
Answer: The first blank would be 71 and the second blank would be 32 and the 3rd blank would be 8
Step-by-step explanation: because on the first on it added by 7 so you would have to do the same for all of them.