The force of interest d ( )t is a function of time and at any time t , measured in years, is given by the formula:
d Ï + £< = Ì
Ó £
0.04 0.02 0 5 ( ) 0.05 5
t t
t
t
(i) Derive and simplify as far as possible expressions for v t( ) , where v t( )
is the present value of a unit sum of money due at time t . [5]
(ii) (a) Calculate the present value of £1,000 due at the end of 17 years.
(b) Calculate the rate of interest per annum convertible monthly implied
by the transaction in part (ii)(a). [4]
A continuous payment stream is received at a rate of 0.01 10 t e units per
annum between t = 6 and t = 10 .
(iii) Calculate the present value of the payment stream.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

yes

step-by-step explanation:

so of course you want to start by plugging the 5 in which goes to 7(5)+3(5)=50 because 7*5=35 and 3*5=15 and then add them together, then plug in the 5 to the other equation as well 9(5)+5=50 because 9*5= 45 and then add 5 and so yes they are equivalent.

step-by-step explanation: