85 x 0.07 = 5.95
Total = 85 + 5.95 = 90.95%
The cost of bananas = $ 3.48
This can be written as :
this number written in expanded notation as : (3 × 1) + (4 × 0.1) + (8 × 0.01)
3+0.4+0.08 = 3.48
Hence, 1st option is correct.
Answer:
29 years
Step-by-step explanation:
The population of the Chinese people is 1.3 bn, and they grow at a rate of 0.49% per year. To get the number of years it requires to reach 1.5 bn, we use this method
after x years, the population will be
1.3 * 1.0049^x
so you just need to solve
1.3 * 1.0049^x = 1.5
1.0049^x = 1.5/1.3
x log 1.0049 = log(1.5/1.3)
x = log(1.5/1.3)/log(1.0049)
x = 0.062 / 0.002122
x = 29.25 years
Therefore, at the rate of 0.49%, the Chinese population of 1.3bn needs 29 years to clock 1.5 bn
Given:
- The table of typical hours worked by employees at a company
- salaried employee makes $78,000 per year
- hourly employees get $26 per hour and $39 per hour when they work more than 40 hours.
To Find: Which payment option to recommend to a new employee.
Solution: I would recommend being a salaried employee.
Explanation:
We begin by calculating the typical number of hours worked per week.
Adding up the hours from the table, we have
.
The payment for an hourly employee must be calculated as $26 per hour for working till 40 hours, and $39 per hour when they work more than 40 hours.
So, the payment for 47 hours of work per week will be
dollars.
As there are 52 weeks in a year, the yearly payment for an hourly emplyee would be
. That is, an hourly employee would earn $68276.
On the other hand, we are given that a salaried employee makes $78000 per year which is more money than what an hourly employee makes for the same amount of work.
Therefore, I would recommend a new emplyee to be paid a salary rather than work on an hourly basis.
Given are several terms in a quadratic pattern:
a1 = ?
a2 = 1
a3 = -16
a4 = ?
a5 = -14
let:
x y
1 ?
2 1
3 -16
4 ?
5 -14
considering the 2nd term and 3rd term, we can determine a quadratic function:
y = -17x + 35
therefore,
a1 = 18
a4 = -33