Answer:
Step-by-step explanation:
153•0.92^x is a decaying exponential function.
In theory these functions never reach zero.
Suppose that you were willing to change the problem to read:
"What value will x have to for the first number to come within 0.0001 of zero?" Solve 153•0.92^x = 0.0001.
To do this, take the common log of both sides, obtaining
log 153 + x*log 0.92 = log 0.0001
Note that log 0.0001 = -4; log 153 = 2.18469; and log 0.92 = -0.03621.
Then we have:
2.18469 + x(-0.03621) = - 4.
Isolate the 2nd term. To accomplish this, subtract 2.18469 from both sides, obtaining:
-0.03621x = -6.18469
Isolate x by dividing both sides by -0.03621:
x = 170.8
This tells us that as x approaches +179, the quantity 153·0.92x will be within 0.0001 of zero.
Answer:
36 inches
Step-by-step explanation:
12 inches in a foot, 3×12=36
The present worth of the boat is $8825. The interest rate is 10.2% and it's not stated whether or not the interest is nominal, so we assume it's annual and effective. We use the formula:
F = P (1 + i)^n
where F is the future worth
P is the present worth
i is the effective annual interest rate
n is the number of years
Substituting:
F = 8825(1 + 0.102)^3
F = 11810.26
The future worth of the boat is
$11,810.26
Step-by-step explanation:
The explanation is in the second photo
In order for y = mx + 9 to form a right triangle it should be perpendicular to either x = 0 or y = 2x-5
For it to be perpendicular to x = 0 (a vertical line), it has to be horizontal constant, so m1 = 0
For it to be perpendicular to y=2x-5, m should be such that m * 2 = (-1), so m = -0.5
That said, two possible values of m are: 0 and -0.5