Mary borrows $5,000 dollars from her mother at a 3% simple interest rate and pays her $600 in interest after t years.
what is the value of t?
1274.1 feet^3 to nearest tenth.
to find the volume we need to find the depth.
the length of the diagonal us to do this. we apply the pythagoras theorem to the triangle formed by the length, the diagonal and the depth (d):
17.8^2 = d^2 + 16.6^2
d^2 = 17.8^2 - 16.6^2
d^2 = 41.28
so the depth d = 6.42 feet.
thus, the volume = 16.6 * 12.3 * 6.42
= 1274.1 feet^3.
the probability is 8 over 15.
14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar.
it means n(g and d)=14, n(d)=28, n(g)=18.
using the formula of union: -
n(g or d) = n(g) + n(d) - n(g and d).
n(g or d) = 18 + 28 - 14.
n(g or d) = 32.
it says 60 musicians applied for a job at a music school. so n(u)=60.
the probability that the applicant who gets the job plays drums or guitar is = n(g or d)/n(u) = 32/60 = 8/15.
hence, the probability is 8 over 15.
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