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
Answer:
either (5,-8) or (5,12). Either answer would be applicable here.
Step-by-step explanation:
It's simple addition/subtraction. Either subtract 10 from 2 in order to get -8, or add 10 to two in order to get 12.
Step 1: arrange the data points in order
12 14 24 30 35 40 42 50 53 Step 2 : Find the median.
median is 35. Step 3. divide the data points into two : left and right
of median
12 14 24 30 and 40 42 50 53
Step 4: find median of each12 14 24 30 : (14+24)/2 = 1940 42 50 53 : (42+50)/2 = 46
step 5. draw lines on the scale on the median, two other
medians and least and the greatest value
Answer is B.
Answer:
12 male teachers
Step-by-step explanation:
If the ratio is 3:4, and the number of female teachers is 16, then the number of male teachers must be 12. This can be confirmed by multiplying both 3 and 4 by 4, or 12/16 = 3/4.
Answer:
x=5
Step-by-step explanation:
2x+5=15
-5 -5
________
2x+0=10
2x= 10
__ __
2 2 the 2 small lines just mean ÷
x=5
