Answer:
Present value = $4,122.4
Accumulated amount = $4,742
Step-by-step explanation:
Data provided in the question:
Amount at the Start of money flow = $1,000
Increase in amount is exponentially at the rate of 5% per year
Time = 4 years
Interest rate = 3.5% compounded continuously
Now,
Accumulated Value of the money flow =
The present value of the money flow =
=
=
=
= 1000 × [70.7891 - 66.6667]
= $4,122.4
Accumulated interest =
=
= $4,742
Answer:
The number of fringes at is given as 20.
Step-by-step explanation:
Question
A Galapagos cactus finch population increases by half every decade. The number of finches is modeled by the expression
,
where d is the number of decades after the population was measured. Evaluate the expression for d = −2
Given :
The number of finches is modeled by the expression :
⇒
where is the number of decades after the population was measured.
To evaluate the expression for d=-2
Solution:
In order to evaluate the given expression to find the number of finches at , we will plugin for in the expression and simplify it.
Plugging in in the expression:
⇒
Using negative exponent property. [
⇒
⇒
⇒ (Answer)
Thus, the number of fringes at is given as 20.
This means the number of fringes two decades ago was 20.
1. Divide the target number of shirts, 12,600 by the company's rate of making the shirts. That is,
number of hours = 12,600 shirts/ (1200 shirts/6 hours)
= 63 hours
2. Determine the number of workdays for them to complete the shirts by dividing 63 hours by 9 hours/workday. This will give us an answer of 7 workdays.
Answer: B.x^3+4x^2-19x+14 is correct
Step-by-step explanation:
(x + 7)(x2 – 3x + 2)
Multiplying both
x^3-3x^2+2x+7x^2-21x+14
x^3+4x^2-19x+14