Answer:
The exponential equation is;
F = 30,000(1.01)^30
The value is;
$40,435.50
Step-by-step explanation:
Here, we are to write an exponential equation
Exponential equations generally take the form;
F = I(1 + r)^t
where F is the future value
I is the initial value
r is the growth percentage
t is the time
with respect to the question;
F = ?
I = 3,000
t = 30
r = 10% = 10/100 = 0.1
Writing the equation, we have
F = 30,000(1.+ 0.1)^30
F = 30,000(1.01)^30
F = $40,435.50
The answer is C) collateral
Answer: (A) and (B) are the same
Step-by-step explanation:
for (A)
x-=x+4
x=x-(x+4)
x=x-x-4
x=4
for (B)
x=x+4-x
x=4
for (C)
x=x-(x+4)
x=x-x-4
x=-4
so (A) and (B) are the same because the value of their x is +4
Answer:
The positive value of k that the function y = sin(kt) satisfies the differential equation y'' + 144y = 0 is +12
Step-by-step explanation:
To determine the positive values of k that the function y = sin(kt) satisfy the differential equation y''+144y=0.
First, we will determine y''.
From y = sin(kt)
y' = 
y' = 
y' = kcos(kt)
Now for y''
y'' = 
y'' = 
y'' = 
Hence, the equation y'' + 144y = becomes
+



∴ 
±
± 
∴
or 
Hence, the positive value of k that the function y = sin(kt) satisfies the differential equation y'' + 144y = 0 is +12