Find the area of the figure. Round to the nearest hundredth when necessary.
1 answer:
Answer:
215.20 ft^2
Step-by-step explanation:
The figure has 2 semi-circles.
First we find the area of each circle using the formula because that is the area formula for a circle.
The semi-circle to the left gives the diameter which is 22 feet. The radius would be half the diameter thus r=11 for semi-circle one.
Then we are to find the diameter of the second semi-circle. Given the entire length to be 30 feet, 30-22 leaves us with 8 feet as its diameter thus r=4.
Left: r=11
Right: r=4
Then, plugging both into the formula for area of a circle, we get
Left: 380.1327
Right: 50.26548
We must divide each by two because we are only looking for semi-circle which is exactly half the area of a full circle.
Then,
Left: 190.066
Right: 25.1327
190.066+ 25.1327= 215.199 = 215.2ft^2
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Answer:
amount is 1000 ×
$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500
Step-by-step explanation:
principal = $1000
rate = 8 % = 0.08
to find out
the future value, S(t)
principal when Donna's account will be 1 million dollars when she retires in 40 year
at what rate Donna's account will have a balance of 1 million dollars in 40 years
solution
we know compounded continuously formula i.e.
amount = principal × ..................1
put the value principal and rate in equation 1 to find amount any time
amount = principal ×
amount = 1000 ×
in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1 to find principal
rt = 0.08 × 40 = 3.2
amount = principal ×
1000000 = principal ×
principal = 1000000 /
principal = 1000000 / 24.5325302
principal = 40762.20397
so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate
amount = principal ×
1000000 = 2500 ×
take ln both side
ln = ln (1000000 / 2500 )
40 r = ln 400
r = ln (400) / 40
r = 0.149787
so rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500