Answer:
<em>Sure hope this helps you :D</em>
Answer:
4.5%
Step-by-step explanation:
800(1-0.01)=\color{green}{792}
800(1−0.01)=792
6180(1-0.05)=\color{blue}{5871}
6180(1−0.05)=5871
Last Year This Year
Stock A 800 792
Stock B 6180 5871
Total 6980 6663
\text{Find overall decrease:}
Find overall decrease:
6980(1-r)=6663
6980(1−r)=6663
\frac{6980(1-r)}{6980}=\frac{6663}{6980}
6980
6980(1−r)
=
6980
6663
1-r=0.954585
1−r=0.954585
-r=-0.045415
−r=−0.045415
Subtract 1
r=0.045415
r=0.045415
Divide by -1
\text{Final Answer: }4.5\%
Final Answer: 4.5%
Multiply by 100 and round to nearest 10th
Set up
Let the dimes = d
Let the pennies = p
Let the quarters = q
Equations
You cannot mean that the pennies and dimes have equal numbers. That would mean that each had 21.5 members. Now could you mean that the dime and penny amount could be the same with 43 coins that total 4.00. Four dollars means that you need 40 dimes alone. It must mean that you are including quarters.
p + d + p = 43 (1)
p = d (2)
p +10d +25q = 451 (3)
Note how this last equation = was derived. You have to multiply the dimes by 10 and he quarters by 100 and the total by 100 to get the numbers all in pennies.
Put the results of 2 into 1.
2p + q = 43 (4)
You need to modify equation 3 as well.
p + 10p + 25q = 451
11p + 25q = 451 (5)
Solve the new equations
2p + q = 43 (4)
11p + 25q = 451 (5)
Multiply 4 by 25
25(2p- + q = 43)
50p + 25q = 1075 (6) Subtract (5) from (6)
<u>11p + 25q = 451
</u>39p = 624 Divide by 39
p = 624 / 39
p = 16
Since the pennies and dimes are equal there are 16 dimes
p + d + q = 43
16 + 16 + q = 43
32 + q = 43
q = 11
Check
16 + 10*16 + 11*25 = ?
16 + 160 + 275 = ?
451 = ?
Nice problem. Thanks for posting.
If Jenni get one page closer to Wren every night and Wren has read 8 more pages then is will take Jenni 8 more nights to catch up to Wren. They will be on page 30 in their book.
