Answer:
$6407.73
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r/n)^(n*t), where
P is the original amount (the principal), r is the interest rate as a decimal fraction, n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $5000, r = 0.0625, n = 4 and t = 4. Thus,
A = $5000(1 + 0.0625/4)^(4*4), or
A = $5000(1.015625)^16 = $5000(1.2815) = $6407.73 (to the nearest cent)
Answer:
First mechanic worked for 10 hours and second mechanic worked for 15 hours.
Step-by-step explanation:
Let first mechanic worked for X hours and second mechanic worked for Y hours .
Now, according to the question , they worked for a total of 25 hours .
Thus ,
X + Y = 25.
Y = 25 - X -(1)
Also, first mechanic is charging $ 95 per hour and second mechanic is charging $115 per hour .
Thus, total money charged by them will be 95X + 115Y .
Which is given to be $2675 in the question.
Thus 95X + 115Y = 2675. -(2)
Putting equation 1 in equation 2 we get ,
95X + 2875 - 115X = 2675
20X = 200
X = 10 hours.
Thus , Y = 25 - X = 15 hours.
Thus first mechanic worked for 10 hours and second mechanic worked for 15 hours.
Answer:
12
Step-by-step explanation:
The probability of those sequence of events is 2/21
Answer:
Step-by-step explanation:
if center= (h,k)
radius=r
eq. of circle is (x-h)^2+(y-k)^2=r^2
a.
center= (-5,1)
radius=4
eq. of circle is (x+5)^2+(y-1)^2=4^2
b.
center=(5,-1)
radius=4
eq. of circle is (x-5)^2+(y+1)^2=4^2
c.
center=(-5,1)
radius=2
eq. of circle is (x+5)^2+(y-1)^2=2^2
d.
center=(5,-1)
radius=2
eq. of circle is (x-5)^2+(y+1)^2=2^2
