Step-by-step explanation:
#1
- Both parts are correct, nothing to add
#2
<u>Reason for second part:</u>
![\sqrt[8]{m^{12}} =\sqrt{m^3}](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7Bm%5E%7B12%7D%7D%20%3D%5Csqrt%7Bm%5E3%7D)
- TRUE
- Simplified exponent with same value of expression
Answer:
Step-by-step explanation:
The worth of the card =$75
The value of the card decreases after each music purchase forming a sequence:
75,74.11,73.22,72.33...
Now,
- 74.11-75=-0.89
- 73.22-74.11=-0.89
- 72.33-73.22=-0.89
We see that the sequence forms an arithmetic sequence:
Where the first term, a is 75
Common difference, d=-0.89
We want to write an equation to define A(n), the amount of money on the gift card after n song purchases.
For an arithmetic sequence,the nth term A(n)=a+(n-1)d
Therefore:
The amount of money on the gift card after n song purchases.
A(n)=75-0.89(n-1)
A(n)=75+0.89-0.89n
A(n)=75.89-0.89n
To find out how many songs can Josh purchase with this card only, we take our nth term A(n) of the sequence to be 0 and solve for n.
A(n)=75.89-0.89n
0=75.89-0.89n
0.89n=75.89
Divide both sides by 0.89
n=85.3
n=85
Therefore, Josh can purchase 85 songs with this card only
100 goes into 1,000 ten times. The answer is 10.
Answer:
-2/15
Step-by-step explanation:
Make them same denominator, which is 15.
1/5=3/15
1/3=5/15
then subtract, and you get -2/15
