How long will it take for a $2000 investment to grow to $2786 at an annual rate of 4.6% , compounded quarterly? Assume that no withdrawals are made.

7.4

Step-by-step explanation:

use the compound interest formula

I=P(1+r/100)<n

2786=2000(1+4.6/100)^n

divide 2000 by both side

1.393=(1+4.6/100)^n

1.393=1.046^n

introduce the log

log1.393=rlog1.046

divide both with log1.046 to get the value of n

n=7.4

need more information

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b