Answer:
2002
Step-by-step explanation:
The main topic of the question is compound interest.
If the percentage increase is 7.5%. Then the decimal multiplier would be 1.075. The 1 in front of the decimal represents the increase. 7.5 in decimal form is 0.075, so we just add the two together to get our decimal multiplier.
Now we do trial and error to see when we reach $700. After we get at least $700, we count how many times we multiplied $500 by the decimal multiplier and onwards to figure out the number of years it took and then add that to 1997. We add it to 1997 because the cost of the Freerange Wireless stock must have also been $500 at the end of 1997. The beginning of 1998 is the same as the end of 1997.
1) 500 x 1.075 = $537.50
2) 537.50 x 1.075 = $577.81
3) 577.81 x 1.075 = $621.15
4) 621.15 x 1.075 = $667.74
5) 667.74 x 1.075 = $717.8205
1997 + 5 = 2002
The value of Mira's stock will reach $700 by the end of 2002 because if we know that she used $500 at the beginning of 1998, that also means the cost of the Freerange Wireless stock was $500 at the end of 1997.
I hope this helps.
Answer:
The system of equations =
25 + 0.05x = 12 + 0.09x
The number of stickers where the cost of both printers to be equal is 325 stickers
Step-by-step explanation:
Let the number of stickers = x
Printer 1
Pop Art Printing would charge a $25 setup fee and $0.05 per sticker.
$25 + $0.05× x
25 + 0.05x
Printer 2
Sticky Slogans would charge a $12 setup fee and $0.09 per sticker.
$12 + $0.09 × x
12 + 0.09x
We equate both equations together
The system of equations =
25 + 0.05x = 12 + 0.09x
Collect like terms
25 - 12 = 0.09x - 0.05x
13 = 0.04x
x = 13/0.04
x = 325 stickers
Therefore, the number of stickers where the cost of both printers to be equal is 325 stickers
Answer:
2x+20
Step-by-step explanation:
Given
Age of Ethen = x
If Raj is 8 years older than Ethen, then;
Raj = x + 8
6 years time
Ethen age = x+ 6
Raj = x+8+6 = x+14
Sum of ages in 6 years time = x+6+x+14
Sum of ages in 6 years time = 2x + 20
Hence the required sum of ages is 2x+20
