At the time of her grandson's birth, a grandmother deposits $12,000.00 in an account that pays 2% compound monthly. What will be that value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawls are made during the period.
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A(t) = P(1+(r/n))^(nt)
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A(21) = 12000(1+(0.02/12))^(12*21)
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A(21) = 12000(1.5214)
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A(21) = #18,257.15
Answer:
First angle = 30°
Second angle = 60°
Third angle = 90°
Step-by-step explanation:
x + y + z = 180
y + z = 5x
z = y + 30
then:
y + (y+30) = 5x
2y + 30 = 5x
x = (2y+30)/5
then:
x + y + z = 180
{(2y+30)/5} + y + y+30 = 180
{(2y+30)/5} + 2y + 30 = 180
{(2y+30)/5} = 180 - 30 - 2y
{(2y+30)/5} = 150 - 2y
2y+30 = 5(150-2y)
2y+30 = 5*150 + 5*-2y
2y+30 = 750 - 10y
2y + 10y = 750 - 30
12y = 720
y = 720/12
y = 60°
x = (2y+30)/5
x = (2*60 + 30)/5
x = (120+30)/5
x = 150/5
x = 30°
z = y + 30
z = 60 + 30
z = 90°
Check:
x + y + z = 180°
30° + 60° + 90° = 180°
Answer:yes
Step-by-step explanation:
because 0.89 is a very small number so itd be reasonable for it to be a large number
Step-by-step explanation:
let the width be x
then length is 3x+8
now
we have
p= 2(l+b)
or, 352=2(3x+8+x)
or, 352/2=4x+8
or, 176=4x+8
or, 176-8=4x
or, 168=4x
or, x=168/4
therefore x=42
width =42 yards
length =3x+8=3*42+8=134yards
HOPE IT HELPS
Answer:
n=5
Step-by-step explanation:
Solve and isolate n.
8 x n = 5 x 8
8 x n = 40 Divide out the 8
n=5