Answer:
$13,695.98
Step-by-step explanation:
Continuously compounded interest formula:
where
A = future value
P = principal (present value of amount invested)
e = mathematical constant, the base of natural logarithms
r = interest rate
t = time in years
We have: P = 6154; r = 8% = 0.08; t = 10
Answer: $13,695.98
Answer:
you average the scores by adding scores from exam 1 and exam 2 then divide it by 2 to average the exam scores
Step-by-step explanation:
Answer:
True :p
Step-by-step explanation:
20 + 20 + 30 + 15 + 40 = 125
125/5= 25
25-15 = 10
Absolute deviation for 15 is 10
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
