Answer:
From the question, Stacey deposits $2600 six times over a thirty year period since she makes the deposit every five years. Her amount accures by the formular. A = P(1+r/n)^nt. Where her principal P = $2,600. Rate, r =6% =0.06. Time = 30 years and the period of compounding per unit time, n = 6 years. So we have A =2, 600(1+(0.06/6))^(6*30) = 2, 600 (1 + 0.01)^(180) = 2600* 5.9958 = $15, 587. To the nearest cent we have $15, 590.
Step-by-step explanation:
:)
Answer:
comedy = 2
drama = 4
reality = 1
Step-by-step explanation:
comedy = 30min
denote as "c"
drama = 60min
denote as "d"
reality = 60min
denote as "r"
write in English
(30min of c) + (60 min of d) + (60min of r) totals to 360 min
translate to mathematics
(30c) + (60d) + (60r) = 360
we also know that there is a total of seven episodes
so we can say
c + d + r = 7
and we also know that there are twice as many episodes of drama as there is of comedy so it can be said that
d = 2c
now there is a system of equations
30c + 60d + 60r = 360
c +d + r = 7
d = 2c
all we know have to do is simplify and solve
substitute in the second equation, into the first
c + d + r = 7
d = 2c
c + 2c + r = 7
simplify
3c + r = 7
r = 7 - 3c
substitute this into the first equation
d = 2c
r = 7 -3c
30c + 60d + 60r = 360
30c + 60(2c) + 60(7 - 3c) = 360
distribute
30c + 120c + 420 - 180c = 360
simplify
-30c + 420 = 360
-420 -420
-30c = -60
c = 2
substitute back into the other equations and solve
d = 2c
d = 2 *2
d = 4
r = 7 - 3c
r = 7 - 3 * 2
r = 7 -6
r = 1
Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
Answer:
3 minutes and 45 seconds
Step-by-step explanation:
His brother can eat 1 ice cream sandwich every 3 minutes and 45 seconds I found this out by dividing 30 by 8 then I got 3.75 then I converted .75 to 75% of 60 was 45 thus ending up with 3:45
The answer is (x,y) =(28/11, -21/11)
