Answer:
$6.76
Step-by-step explanation:
Multiply 8.45 by 0.8 and you will get 6.76
Answer:
Original sum of money = $2246.51
Step-by-step explanation:
Interest = $96.60
Interest is compounded 6 times in a year ; n = 6
time = 1 year ; Rate of interest (r) = 4.2%
Interest = Future Value - Principal Value ...........(1)
![\text{Future Value = }Principal\cdot (1+\frac{r}{100\times n})^{n\cdot t}\\\\\text{Substituting this value in equation (1) , We get }\\\\Interest=Principal\cdot (1+\frac{r}{100\times n})^{n\cdot t}-Principal\\\\\implies 96.60=Principal[\cdot (1+\frac{4.2}{100\times 6})^{6\cdot 1}-1]\\\\\implies Principal=\$2246.51](https://tex.z-dn.net/?f=%5Ctext%7BFuture%20Value%20%3D%20%7DPrincipal%5Ccdot%20%281%2B%5Cfrac%7Br%7D%7B100%5Ctimes%20n%7D%29%5E%7Bn%5Ccdot%20t%7D%5C%5C%5C%5C%5Ctext%7BSubstituting%20this%20value%20in%20equation%20%281%29%20%2C%20We%20get%20%7D%5C%5C%5C%5CInterest%3DPrincipal%5Ccdot%20%281%2B%5Cfrac%7Br%7D%7B100%5Ctimes%20n%7D%29%5E%7Bn%5Ccdot%20t%7D-Principal%5C%5C%5C%5C%5Cimplies%2096.60%3DPrincipal%5B%5Ccdot%20%281%2B%5Cfrac%7B4.2%7D%7B100%5Ctimes%206%7D%29%5E%7B6%5Ccdot%201%7D-1%5D%5C%5C%5C%5C%5Cimplies%20Principal%3D%5C%242246.51)
Hence, the original sum of money borrowed = $2246.51
Answer:
b. Divide the quantity of output by the number of hours worked.
Step-by-step explanation:
<em>Since the ratio of the number of output to the number of hours worked shows the productivity. </em>
Thus, option (b) is correct.
Productivity is used to converting inputs into useful output. It measures the efficiency of a person, system, machine, factory, etc.
For Example: The employee who works less hours and assembled more radios has more productivity, that employee knows how to utilize time.
Answer:
Step-by-step explanation:
Part A
In applying the synthetic division, the polynomial would be fully expressed as
2x³ + 0x² + 5x - 6
The coefficients are 2, 0, 5 and - 6
The working becomes
2| 2 0 5 -6
4 8 16
2 4 13 10
The student that correctly used synthetic division to find f(2) is Claudia
Part B
The value of f(2) is
2(2)^3+5(2) - 6
= (2 × 8) + 10 - 6
= 16 + 10 - 6 = 20
Part C
x - 2 is not a factor of 2x³ + 5x - 6 because there is a remainder of 20.
Part D
The methods that can be used to find out if x - 2 is a factor of 2x³ + 5x - 6 are synthetic division, long division, remainder theorem
