Answer:
FV= $2,407.53
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 1,300
Interest rate (i)= 4.5% = 0.045
Number of periods (n)= 14 years
<u>To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:</u>
FV= PV*(1 + i)^n
FV= 1,300*(1.045^14)
FV= $2,407.53
Answer:
C) 0 ≤ x ≤ 25
Step-by-step explanation:
We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300
A)x ≥ 0
Refer the graph
At x = 0
f(x)=300
On increasing the value of x , f(x) increases but at x = 12 it starts decreasing
So, x ≥ 0 can also have f(x)<300
So, Option A is wrong
B)−5 ≤ x ≤ 30
At x = -5
f(x) = 100
So, Option B is wrong since we require f(x) is greater or equal to 300
c)0 ≤ x ≤ 25
At x = 0
f(x)=300
At x = 12 , it starts decreasing
At x = 25
f(x)=300
So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25
D)All real numbers
At x = 30
f(x)=0
But we require f(x) greater or equal to 300
Hence Option C is true
The answer is
AB = 6.
External value x (external value + internal value) =
External value x (external value + internal value) of the other side
Substitute, transpose, and simplify.
TA x (TA + AB) = TC x (TC + CD)
10 x (10 + (x + 2)) = 8 x (8 + 12)
120 + 10x = 160
10x = 40
x = 4
To find AB: x + 12; x = 4
AB = x + 2
AB = 4 + 2
AB = 6
Answer:
68°
Step-by-step explanation:
Okay, so m<8 is on the same plane as m<7 because line <em>q </em>is intersecting line <em>t </em>and that's supposed to add up to 180° so:
180° - 112° = 68°
So, m<7 = 68°
hope this helps:)
