We are given with the equation
y = e^-9x with the restriction of x <span>≥ 0
If rotated about the x-axis the area of the resulting surface is
A = </span>π ∫ y² dx
Substituing
A = π ∫ (e^-9x)² dx
A = π ∫ e^-18x dx
The limits are from 0 to positive infinity.
Answer:
10red+10yellow+10blue+10green=40 cards
300/40= 7.5
each card should be statistically pulled 7.5 times. there are 10 yellow cards so a yellow card should be pulled 75 times.
Step-by-step explanation:
Grams maybe? i’m not very sure
Answer:
11.8cm²
Step-by-step explanation:
The area of the regular pentagon is expressed as;
A = pa/2
p is the perimeter of the pentagon
a is the apothem
Since p = 5s
s is the side length, hence;
A = 5sa/2
Get the side length s;
central angle = 360/5
central angle = 72degrees
angle in the right angle triangle =72/2 = 36degrees
Using SOH CAH TOA
sin 36 = x/2
x = 2sin36
x = 1.1755
s = 2x
s = 2.35cm
Get the area
A = 5(2.35)(2)/2
A = 5(2.35)
A = 11.8cm²
Hence the area of the regular pentagon is 11.8cm²
Answer:
$117,783.05
Step-by-step explanation:
Looking at the above question,
Step 1
Calculate the number of monthly payments for 7 years.
The formula we would be using is given as:
Monthly payment = [Loan amount × (rate/number of year)] ÷ [1 - (1 +r/n)^nt)]
Loan amount =$146,000
Rate = 4.75% = 0.0475
n = number of payments = 12
t= number of years = 23
Monthly payment = [ 146,000× (0.0475/12)] ÷ [1 - (1 +0.0475/12)^-276)]
Monthly payment = $870.49
Step 2
Calculate the amount left after 7 years using the formula
Ballon payment after 7 years = Loan amount ( 1 + r)ⁿ - P[(1 +r)ⁿ - 1 /r]
r = 4.75% for 12 years
= 146,000( 1 + 0.0475/12)^84 - 870.49[((1 + 0.0475/12)^84 - 1)/0.0475/12]
= $117,783.05
