The water pressure on mustafa as he dives is increasing at a rate of
0.9920.992
0.992
0, point, 992
atmospheres
(atm)(\text{atm})
(atm)
left parenthesis, start text, a, t, m, end text, right parenthesis
per meter
(m)(\text{m})
(m)
left parenthesis, start text, m, end text, right parenthesis
.
what is the rate of increase in water pressure in
atmkm\dfrac{\text{atm}}{\text{km}}< br /> km

atm


start fraction, start text, a, t, m, end text, divided by, start text, k, m, end text, end fraction
?

atmkm\dfrac{\text{atm}}{\text{km}}< br /> km

atm


start fraction, start text, a, t, m, end text, divided by, start text, k, m, end text, end fraction

show calculator

343t464564435rri76i6u

step-by-step explanation:

because i said it is

765238725478629038640962136509762139056074

step-by-step explanation:

64087235609746097215074621039754021037

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

change of stock price/initial stock price on friday * total stock value = change of stock value

0.89/73.73 *x = 42.72

x=3539.04 = total stock value at initial stock price on friday .

total stock value at initial stock price on friday/ initial stock price on friday = number of shares

3539.04/73.73 = 48 shares

they own 48 shares of this stock