Answer:
5.50 years
Step-by-step explanation:
A = P
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
3178 = 2000(1+.086/2)^2t
t = 5.499904413
Answer: it will take about 5 months for the cost to be the same
Step-by-step explanation:
Let x represent the number of months it will take for the gym memberships to cost the same amount.
A gym membership at A costs $10/month plus a one-time membership fee of $15. This means that the total cost for x months would be
10x + 15
At B, the memberships costs $4/month plus a one-time $40 fee. This means that the total cost for x months would be
4x + 40
For the costs to be the same,
10x + 15 = 4x + 40
10x - 4x = 40 - 15
6x = 25
x = 25/6 = 4.2
Answer:
<em>(C). {3} </em>
Step-by-step explanation:
= 
+ 
( x ≠ - 1 )
- + = 0
- 
= 0
= 0 ⇒ <em>x = 3</em>
Answer:
180 miles
Step-by-step explanation:
Going North
<em><u>Formula</u></em>
d = r * t
<em><u>Givens</u></em>
r = 60 mph
t = 5.2 hours
d = ?
<em><u>Solution</u></em>
d = 5.2 * 60 = 312 miles north
Going South
<em><u>Givens</u></em>
r = 55 mph
t = 2.4 hours
<em><u>Solution</u></em>
d = r * t
d = 55 * 2.4
d = 132
Distance from home
Formula: Distance from home = Distance North - Distance South
Distance North = 312 - 132 = 180 miles
