Answer:
The value of annuity is 
Step-by-step explanation:
From the question we are told that
The periodic payment is 
The interest rate is 
Frequency at which it occurs in a year is n = 2 (semi-annually )
The number of years is 
The value of the annuity is mathematically represented as
![P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%20P%20%2A%20%20%5B1%20%20-%20%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7B-t%20%2A%20n%7D%20%5D%20%2A%20%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
(reference EDUCBA website)
substituting values
![P_v = 1500 * [1 - (1 + \frac{0.08}{2} )^{-22 * 2} ] * [\frac{(1 + \frac{0.08}{2} )}{ \frac{0.08}{2} } ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%201500%20%2A%20%20%5B1%20%20-%20%281%20%2B%20%5Cfrac%7B0.08%7D%7B2%7D%20%29%5E%7B-22%20%2A%202%7D%20%5D%20%2A%20%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7B0.08%7D%7B2%7D%20%29%7D%7B%20%5Cfrac%7B0.08%7D%7B2%7D%20%7D%20%5D)
![P_v = 1500 * [1 - (1.04 )^{-44} ] * [\frac{(1.04 )}{0.04} ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%201500%20%2A%20%20%5B1%20%20-%20%281.04%20%29%5E%7B-44%7D%20%5D%20%2A%20%5B%5Cfrac%7B%281.04%20%29%7D%7B0.04%7D%20%5D)
![P_v = 1500 * [1 - 0.178 ] * [\frac{(1.04 )}{0.04} ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%201500%20%2A%20%20%5B1%20%20-%200.178%20%5D%20%2A%20%5B%5Cfrac%7B%281.04%20%29%7D%7B0.04%7D%20%5D)
She needs to earn at least 84 to buy the mp3 player
earnings=earningsperhour times numberofhoursworked
earnings per hour=12 dollars
number of hoursworked=h
therefor
earnings=12 ties h or12h
earnings is at least 84
earnings is greater than or equal to 84
earnings<u>></u>84
12h<u>></u>84
solve
12h<u>></u>84
divide both sides by 12
h<u>></u>7
she needs to work at least 7 hours
to graph, draw a line at x=0 and shade to the right, make the line solid
For question 3. A
4. A
5. B
Answer:c
Step-by-step explanation:
c
Answer:
0.38 is ten times as much as 0.038
