Answer:
15 inches
Step-by-step explanation:
x+5+2x-3+7x+1=103
10x+3=103
10x=100
x=10
Answer = 1/5 and 4
solved by middle term breaking
Answer: D
Step-by-step explanation:
Answer:
<h3>A) 204m</h3><h3>B) 188m</h3>
Step-by-step explanation:
Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60
The velocity of the rocket at its maximum height is zero
v = dh/dt = -32t + 96t
At the maximum height, v = 0
0 = -32t + 96t
32t = 96
t = 96/32
t = 3secs
Substitute t = 3 into the modeled function to get the maximum height
h(3) = -16(3)^2 + 96(3) + 60
h(3) = -16(9)+ 288 + 60
h(3) = -144+ 288 + 60
h(3) = 144 + 60
h(3) = 204
Hence the maximum height reached by the rocket is 204m
Get the height after 2 secs
h(t) = -16t^2 + 96t + 60
when t = 2
h(2) = -16(2)^2 + 96(2) + 60
h(2) = -64+ 192+ 60
h(2) = -4 + 192
h(2) = 188m
Hence the height of the rocket after 2 secs is 188m
Answer:
Step-by-step explanation:
Alexa earns $33,000 in her first year of teaching and earns a 4% increase in each successive year. This means that for each year, her income is 104% of the previous year. So the rate of increase is 104/100 = 1.04. This rate is in geometric progression. The formula for the sum of n terms of a geometric sequence is expressed as
Sn = a(r^n - 1)/r-1
Where
Sn is the nth term
a is the first term
n is the number of terms.
r is the rate or common ratio
From the information given,
a = 33000
r = 1.04
The formula for Alexis total earning over n years will be
Sn = 33000(1.04^n - 1)/(1.04 - 1)
Her earnings for the next 15 years would be
S15 = 33000(1.04^15 - 1)/(1.04 - 1)
S15 = 33000(0.8009) / 0.04
S15 = $668167.50
