Answer:
P = $6923
Step-by-step explanation:
The simple interest formula is given by
1) I = principal *interest rate * time period
where I is the interest
The amount due after the time period is given by:
2) T = principal + I
After three months, you have $9.000, so T = 9000. The present value P is the principal. We have that:
9000 = P + I
I = 9000 - P
In our problem, we have that the time period is 3 months and out interest rate is 10%.
Replacing in 1)
9000 - P = P*0,1*3
9000 = 0.3P + P
1.3P = 9000
P = $6923
So the present value P is $6923
You have 3 consecutive whole numbers.
The smallest one is 'm' .
The next one must be 'm + 1' .
And third one must be 'm + 2' .
If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x.
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair.
The second table represents it correctly
Answer:
Ezra can plant 8 sunflowers
Step-by-step explanation:
0.7S + 0.5L <u><</u> 11
0.7S + 0.5(10) <u><</u> 11
0.7S + 5 <u><</u> 11
0.7S <u><</u> 6
6 ÷ 0.7 = 8.5
