The formula we use for continuous compounding is

where P is the initial amount invested, r is the rate as a decimal, and t is time in years. Our P = 1300, our r = .042, and our t = 5.75 (9 months is 3/4 of a year, and 3/4 in a decimal is .75). Putting all that into our formula we have

. We have to multiply those 2 powers together and then raise euler's number to it, then multiply by 1300. Doing all of that, we get the amount at the end to be $1,655.10
Answer:
x = 0
y = 4
Step-by-step explanation:
Given
12x - 5y = -20
y = x + 4
Substitute x + 4 for y in the first equation
12x - 5(x + 4) = -20
Expand the bracket
12x -5 X x - 5 x 4 = -20
12x - 5x - 20 = -20
7x - 20 = -20
Add 20 to both sides to eliminate -20 on the left side
7x - 20 + 20 = -20 + 20
7x = 0
Divide both sides by 7 to isolate x
7x/7 = 0/7
x = 0
Substitute 0 for x in either equation to get y
Using equation 2, we have
y = x + 4
= 0 + 4
= 4
x = 0
y = 4
Answer:
it is A
Step-by-step explanation:
A
P = √ab
p² = ab
p²/b = a
a = p²/b
The first number in the couplet is the distance along the x-axis (i.e. distance from the y-axis). We can read 0.8 from the graph.
The second number is the distance along the y-axis (i.e.distance from the x-axis). We can read 6.7 from the graph.
So approximately, we have the point as (0.8, 6.7).
Round the numbers to the nearest integer and you'll get the required answer choice.