The annual return percentages will be evaluated using the formula:
A=P(1+r/100)^n
where:
A=amount
P=principle
r=rate
n=time
a] A=$500, P=$400, n=1 years
500=400(1+r)^1
solving for r we shall obtain:
1.25=1+r
hence
r=1.25-1
r==0.25
annual rate of investment is 25%
b] A=2500+100=$2600, P=$ 2000, n=1 year
hence
2600=2000(1+r)^1
2600/2000=1+r
1.3=1+r
r=1.3-1
r=0.3
annual rate of investment is 30%
Perpendicular lines have negative reciprocal slopes. So if the slope is -2/5...to find the negative reciprocal, " flip " the slope and change the sign.
So we flip -2/5 and we get 5/-2...and now we change the sign...and we get 5/2. So our perpendicular slope will be 5/2.
Answer:
n = -9
Step-by-step explanation:-
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Answer: See graph below!
I hope this helped!
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- Zack Slocum
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Answer:
837.23 cm³
Step-by-step explanation:
La fórmula para el volumen de un prisma pentagonal se da como:
1/2 (5 s × a) × h
Dónde:
s = longitud lateral
a = Apotema
h = altura
De la pregunta anterior:
s = largo de lado = 6.1 cm
a = Apotema = 4.5 cm
h = Altura = 12.5 cm
Por lo tanto:
El volumen del prisma pentagonal =
1/2 (5 × 6.1 × 4.5) × 12.5
= 1/2 × 137.25 × 12.5
= 837.225 cm³
Aproximadamente = 837.23 cm³