{RO5-1} Simplify:
2. 73

2 11/15

Step-by-step explanation:

Let X equal the decimal number

Equation 1:

X=2.73¯¯¯(1)

With 1 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 101 = 10

Equation 2:

10X=27.33¯¯¯(2)

Subtract equation (1) from equation (2)

10XX9X===27.33...2.73...24.6

We get

9X=24.6

Solve for X

X=24.69

Multiply to eliminate 1 decimal places.

Here you multiply top and bottom by 1 10's

= 101 = 10

24.69×1010=24690

Find the Greatest Common Factor (GCF) of 246 and 90, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 6,

246÷690÷6=4115

Simplify the improper fraction,

=21115

In conclusion,

2.73¯¯¯=2 11/15

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.