The amount in the account after the given time if compounded semiannually is $1104.2
<h3>Compound interest </h3>
Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:
A = P(1+r/n)^nt
Given
P = $1000
rate r = 0.05
time =3years
n = 2
Substitute
A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2
Hence the amount in the account after the given time if compounded semianually is $1104.2
Learn more on compound interest here: brainly.com/question/24924853
#SPJ1
Complete question :
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?
1) 2 1/2 feet
2) 3 feet
4) 5 feet
5) 8 1/2 feet
Answer:
2.5
Step-by-step explanation:
Solving for X in the perimeter equation :
2[(12+2x)+15+2x)]=74
Open the bracket
2[(12 + 2x + 15 + 2x)] = 74
2(27 + 4x) = 74
54 + 8x = 74
8x = 74 - 54
8x = 20
x = 20/8
x = 2.5
Hence, width fo border = 2.5
Answer:
Step-by-step explanation:1
1/2 years which is 1 year and 5 months.
Explanation:
The formula for simple interest is
You can either substitute the given values first and the solve for
T, or you can transpose the formula to have
T as the subject.
T=100xSIPR
T=100 x 637.50
T=100×637.502500×17
T=1.5
As time is always in years, this means it was for
112 years which is 1 year and 5
months
Answer:
height = 15 inches
Step-by-step explanation:
the volume (V) of a cylinder is calculated as
V = Ah ( A is the base area and h the height )
given V = 1650 and A = 110 , then
1650 = 110h ( divide both sides by 110 )
15 = h
A= 72.5 (you take 145 and divide by 2 b/c one inside is smaller)
B= 72.5 also b/c the share a corresponding line
