Answer:
10100=15700(1-0.075)^x
10100=15700(0.925)^x
divide both sides by 15700
0.925^x=101/157
convert decimal
(37/40)^x=101/157
take the log
x= log 37/40 (101/157)
x= 5.65824
Answer:

Step-by-step explanation:
Rewrite the quadratic using the method of completing the square:

From this form it is immediately clear that the vertex of the parabola is at x=1 and its y-intercept at -6.
0.618 divided by 1.03 will equal to 0.6
The can of green beans that has the lowest unit price is the 8 oz. size.
To find the unit price of each size, divide the cost by the size. (A number below that's in parentheses means it goes on forever)
0.89 ÷ 6 = 0.148(3)
1.04 ÷ 8 = 0.13
1.69 ÷ 10 = 0.169
4.79 ÷ 32 = 1496875
Among all of these answers, the can with 8 oz. has the least unit price/rate. Thus, this is the answer.
Answer: 
Step-by-step explanation:
Given: Sybil has 1/2 of a pizza left over.
If she share the pizza with 3 of her friends, to find the fraction of the original pizza will Sybil and her 3 friends each receive, we need to divide 1/2 by 3 we get
The fraction of the original pizza will Sybil and her 3 friends each receive
