Answer:
6r+7=13+7r
6r+7=7r+13
6r+7−7r=7r+13−7r
−r+7=13
−r+7−7=13−7
−r=6
= 
r=−6
Step-by-step explanation:
:) This is the answer
Answer:
12
Step-by-step explanation:
A 2 - sided counter ; (red, yellow)
A spinner (1,2,3,4,5,6)
Number of trials = 80
P(red and number > 3) :
P(red) = 1/2 ;
P(number >3) : numbers greater Than 3 = (4, 5, 6)
Hence, P(number <3) = 3 /6 = 1/2
Theoretical probability = 1/2 *1/2 = 1/4
Expected number of outcomes :
1/4 * number of trials
1/4 * 80 = 20
Experimental outcome :
Relative frequency = number of outcomes / number of trials
Relative frequency = 2/5
Hence,
2/5 = number of outcomes / 80
Cross multiply :
160 = number of outcomes * 5
Number of outcomes = 160 /5 = 32
Actual outcomes = 32
Difference between actual and expected :
32 - 20 = 12
Answer:
a) The present value is 688.64 $
b) The accumulated amount is 1532.60 $
Step-by-step explanation:
<u>a)</u><u> The preset value equation is given by this formula:</u>

where:
- T is the period in years (T = 10 years)
- r is the annual interest rate (r=0.08)
So we have:
Now we just need to solve this integral.

The present value is 688.64 $
<u>b)</u><u> The accumulated amount of money flow formula is:</u>

We have the same equation but whit a term that depends of τ, in our case it is 10.
So we have:
The accumulated amount is 1532.60 $
Have a nice day!