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
It does not exist because the left and right do not match
Answer:
2
= c
Step-by-step explanation:
ABC is a right triangle and in right triangles the square value of hypotenuse (C in this case) is equal to sum of other two side's square length
4^2 + 6^2 = c^2
16 + 36 = c^2 add terms
52 = c^2 find the root for both sides
2 = c
Answer:
Step-by-step explanation:
A rectangular has opposites sides of the same length
so, 10 = 2y+4
10-4=2y
6=2y
y=6/2
y =3
Answer:
2⋅2⋅2⋅5=40 2 ⋅ 2 ⋅ 2 ⋅ 5 = 40
