Step-by-step answer:
The base of the exponential function is 1.29 for 7 days, as in
f(x) = 86*(1.29)^x
The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely
f(x) = 86*1.29^(x/7)
Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
we simplify by putting b=1.29, a=7 to get
f(x) = 86*(1.29^(1/7))^x
f(x) = 86*(1.037)^x since 1.29^(1/7) evaluates to 1.037
Rounding 1.037 to 1.04 we get a (VERY) approximate function
f(x) = 86 * (1.04^x)
1.04 is very approximate because 1.04^7 is supposed to get back 1.29, but it is actually 1.316, while 1.037^7 gives 1.2896, much closer to 1.29.
Answer:
Population density = 
Step-by-step explanation:
The attached figure shows the dimension of an island.
Population density is equal to total population per unit land area.
Firstly we will find the area of the triangle using Pythagoras theorem as follows :

H is Hypotenuse, B is base and P is perpendicular

Area of triangle is given by :


Hence, the population density is
.
5(x + 3) - 3(x - 2) = 19 That should give you the result you need. The answer will come out to be x = - 1
If you want it to be - 1 to start with, then
2(5x + 3) - 13x + 2 = - 1
Answer: 0.64sec
Step-by-step explanation:
h= -16t2 + t + 6
a= -16 b=1 c= 6
Using the quadratic equation formular
X = -b ± √b2 - 4ac / 2a
X= -1 ± √1^2 - 4(-16)6 / 2(-16)
=-1 ±√1+384 / -32
= -1 ±√385 / -32
Either X = -1 + 19.62 / -32
= 18.62 /-32
=-0.58 sec
Or X = -1-19.62 / -32
= -20.62 / -32
= 0.64sec
Since there is no negative time, therefore our answer is 0.64sec