Answer:
$1,313.3 per month
Step-by-step explanation:
A=p(1+r/n)^nt
P=principal=$75,000
r=interest rate=7.2%=0.072
t=20 years
n=12 months
A=p(1+r/n)^nt
=75,000(1+0.072/12)^12*20
=75,000(1+0.006)^240
=75,000(1.006)^240
=75,000(4.2026)
=315,195
A=$315,195
The term of Lauren's loan=20 years
20 years×12 months=240 months
Lauren's pay per month =$315,195/240
=$1,313.3125
Approximately $1,313.3 per month
Answer: 25 sixth graders
Step-by-step explanation:
Sixth-graders are in a ratio with fifth graders in the band at 5:4 and there are 20 fifth-grade students in the band.
To find the number of 6th graders, use direct proportion and assume the sixth grader number is x:
5 : 4
x : 20
4x = 100
x = 100 / 4
x = 25 sixth graders
Simplifying
5C + -4 + -2C + 1 = 8C + 2
Reorder the terms:
-4 + 1 + 5C + -2C = 8C + 2
Combine like terms: -4 + 1 = -3
-3 + 5C + -2C = 8C + 2
Combine like terms: 5C + -2C = 3C
-3 + 3C = 8C + 2
Reorder the terms:
-3 + 3C = 2 + 8C
Solving
-3 + 3C = 2 + 8C
Solving for variable 'C'.
Move all terms containing C to the left, all other terms to the right.
Add '-8C' to each side of the equation.
-3 + 3C + -8C = 2 + 8C + -8C Combine like terms: 3C + -8C = -5C<span>-3 + -5C = 2 + 8C + -8C
Combine like terms: 8C + -8C = 0
-3 + -5C = 2 + 0
-3 + -5C = 2
Add '3' to each side of the equation.
-3 + 3 + -5C = 2 + 3
Combine like terms: -3 + 3 = 0
0 + -5C = 2 + 3
-5C = 2 + 3
Combine like terms: 2 + 3 = 5
-5C = 5
Divide each side by '-5'.
C = -1
Simplifying
C = -1</span>
F(x) + g(x)
3x-7+6x+4
=9x-3
