The area of the resulting figure will be given by:
∫f(x)dx
f(x)=13/2x^3
thus
∫f(x)dx=13/2∫x³dx=13/8[x^4]
integrating over the inerval
13/8(12^4)-13/8(5^4)
=32680+3/8 sq. units
=
Answer:
The solution is b
Step-by-step explanation:
3× -2y-9
4x +3y =22
Step-by-step explanation:
1.
when 3 coins are flipped the following outcomes are possible
h = heads, t = tails
h h h
h h t
h t h
h t t
t h h
t h t
t t h
t t t
yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means
2×2×2 = 2³ = 8 possibilities.
2.
at least 2 tails means 2 or 3 t in the list item :
h t t
t h t
t t h
t t t
3.
so, 4 out of the 8 possible outcomes. the probability is then therefore
4/8 = 1/2 = 0.5
Answer:
$240
Step-by-step explanation:
I = prt
I = (2,400) (0.04) (2.5)
note: I changed 4% to a decimal and 30 months to 2.5 years
I = 96 (2.5)
I = 240 <-- The interest
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The simple interest accumulated on a principal of $ 2,400.00 at a rate of 4% per year for 2.5 years (30 months) is $240.00.
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* Last time I did interest was in 6th grade and I don't remember much. So I am very sorry if my answer is wrong *