Rule: if you have graph of function y=f(x) and a>0, then:
1. y=f(x-a) is translation a units right;
2. y=f(x+a) is translation a units left;
3. y=f(x)-a is translation a units down;
4. y=f(x)+a is translation a units up;
Since g(x)=f(x+2)-5, then firstly you have to translate the graph of function y=f(x) two units left and secondly 5 units down.
Answer:
quarterly N = 4
semi-annually N = 2
Monthly N = 12
annually N = 1
Step-by-step explanation:
Given the following compound interest times :
N = number of times interest is compounded per period :
A period is regarded as a whole year.
Interest compounded;
QUARTERLY = Every 4 months per period = 12/3= 4
SEMI ANNUALLY = Every 6 months per period = 12/6 = 2
MONTHLY = Every month = 12 / 1 = 12
ANNUALLY = Every 12 months = 12 /12 = 1
1. 1/5 = x - 9 / x
2. Cross multiply x = 5 (x - 9)
3. Distribute x = 5x - 45
4. Move the variable and change the sign x - 5x = -45
5. Add like terms -4x = -45
6. Divide x = 45 / 4
So the solution is x = 45 / 4 or 11.25
20000 x 90/100 = 18000
18000 x 90/100 = 16200
The value of the car after 2 years is $16200
Answer: 5,720
Step-by-step explanation: The number shown here 5.72 × 10³ is written in scientific notation since it's composed of a decimal between 1 and 10 in this case 5.72 and a power of 10 in this case 10³. To write 5.72 × 10³ in standard notation, we first begin with 5.72.
Next, we look at the exponent which in this case is positive 3. The exponent tells us to move the decimal point three places to the right.
Finally, we fill in the missing positions with zeros.
Therefore, 5.72 × 10³ written in standard notation is 5,720.
