100 ---> 96 is -4
96 ---> 104 is +8
104 ---> 88 is -16
88 ---> 120 is +32
120 ---> 56 is -64
So first we go down by 4, then up by 8, then down 16, then up 32, then finally down 64.
The pattern of numbers is: -4, +8, -16, +32, -64
Notice it's the powers of 2:
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
each term doubles. Also each term alternates in sign. One is positive, then the next is negative and so on.
The last difference is -64, which doubles to -128. Change the sign to positive to get +128
Add 128 to the last term of 56 to get
128+56 = 184
Therefore, the final answer is 184
In the value of bonds, the symbol "M" means "thousands.
Therefore, 10 M = 10,000$
So, the customer bought a coupon with 10,000$ and the expected annual interest is 7.5% of the coupon's value.
Calculating the value of interest is simple, just multiply the interest rate (7.5%) by the original value of the coupon to know how much interest she will collect each year.
Interest collected each year = (7.5 / 100) x 1000 = 750$
Answer: You have the following information given in the problem above:
- Lou filled the tank with gas that cost $3.80 per gallon.
- Lou's car had 5.9 gallons in the 13-gallon tank.
2. Therefore, if he filled the tank, you can calculate the total amount of money Lou spent, by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.
3. Then, the result is:
$26.98
