X is equal to 8. The work for that is on the attached picture.
Complete Question
If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years
Answer:
$ 12,934.61
Step-by-step explanation:
The formula for Compound Interest Compounded continuously is given as:
A = Pe^rt
A = Amount after t years
r = Interest rate = 2.5%
t = Time after t years = 3
P = Principal = Initial amount invested = $12,000
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 = Pe^rt
A = 12,000 × e^(0.025 × 3)
A = $ 12,934.61
The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.
A. -3 < x < 1
b. x < = 4 or x > = 6
Answer:
y + 1 = 8/9(x +4)
Step-by-step explanation:
Find the slope: [7- (-1)]/ [5 - (-4)] = 8/9
Using (-4, -1)
y-(-1) = 8/9[x- (-4)]
y + 1 = 8/9(x +4)