Y= 250000-8750t
3.5 percent of 250000 is 8750, if that’s the amount decreasing each (t) years, you multiply that number by number of years taken into account.
Answer:
a) The marginal cost function is given by
C'(x) = 4 + 0.04x + 0.0003x² (in dollars)
b) C'(70) = $8.27
Step-by-step explanation:
C(x) = 1000 + 4x + 0.02x² + 0.0001x³
a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.
Mathematically,
MC = (dC/dx) = C'(x)
For this question,
C'(x) = 4 + 0.04x + 0.0003x²
b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.
C'(x) = 4 + 0.04x + 0.0003x²
C'(70) = 4 + 0.04(70) + 0.0003(70²)
C'(70) = $8.27
Hope this helps!
Answer:
6745.09
Step-by-step explanation:
If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...
FV = P(1 +r/12)^(12·t)
for P = 5000, r = .05, t = 6.
Doing the arithmetic, we get ...
FV = 5000(1 +.05/12)^(12·6) ≈ 6745.09
After 6 years, the bank account will be worth 6745.09.
_____
We made a comment about the interest rate, because the annual <em>yield</em> is about 5.116%. If the <em>annual yield</em> is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)
Usually, the wording would be that the account <em>earns</em> 5% interest compounded monthly.
Answer:
1
Step-by-step explanation:
(not sure if I'm right) Using this Formula Part/Whole = %/100
$350/Original Price = 10%/100
cross multiply
10w = 35,000
divide by 10 on both sides
W = $3,500
(seems real high so I'm not sure)
