<u>Answer:</u>
The money will gavin have after 5 years is 1616.59$
<u>Explanation:</u>
We know that compound interest is given by
Where A = final amount
P = Principal amount = $1500 (given)
r = interest rate = 1.5% = 0.015
n = no. of times interest applied per time period = given quarterly = 4
t = time period = 5 years
So,
= 1616.59$ which is the money will gavin have after 5 years
Every hour only 78% survive so we have the equation
35,542 = x(0.78)^4
x = 96,020 answer
Input 15 as the initial value and (3, 90) as x and y to get the equation 90=m(3)+15. Isolate m to get m=25. Each shirt costs $25 and the equation that represents the scenario is y=25x+15.
Answer:
The probability that neither player gets on base is 0.4824
Step-by-step explanation:
1. Both players get to base. <em>Just multiply the two probabilities together</em>:
= (<em>probability first batter gets on base</em>) x (<em>probability second batter gets on base, if the first batter gets on base</em>)
= 0.23 x 0.38
= 0.0874
2. One player gets to base. The formula here is P(A+B) =P(A) + P(B) - P(A) x P(B)
= (<em>probability first batter gets on base</em>) + (<em>probability second batter gets on base, if the first batter does not</em>) - (0.23 x 0.26)
= 0.23 + 0.26 - (0.23 x 0.26)
= 0.49 - 0.0598
= 0.4302
3. Neither player gets to base =<em> 1 - addition of the previous two cases</em>.
= 1 - (0.0874 + 0.4302)
= 1 - 0.5176
= 0.4824
Answer:
Paul spent $12.65
Step-by-step explanation:
Create a system of equations where p is how much Paul spent and t is how much Tammy spent.
p + t = 37.85
p = t - 12.55
Solve by substitution:
p + t = 37.85
(t - 12.55) + t = 37.85
2t - 12.55 = 37.85
2t = 50.4
t = 25.2
Find how much Paul spent by plugging in 25.5 as t into p = t - 12.55
p = t - 12.55
p = 25.2 - 12.55
p = 12.65
So, Paul spent $12.65
