Answer:
Step-by-step explanation:
Let x represent the amount Peter invested at 14%. Then (x-900) is the amount he invested at 6%. His total interest earned is ...
0.14x + 0.06(x -900) = 221
0.20x = 275 . . . . . . . . . . . . . . . . add 54, simplify
x = 1375 . . . . . . . . . . . . . . . . . . . .divide by 0.2; amount invested at 14%
(x-900) = 475 . . . . . . . . . . . . . . . amount invested at 6%
Peter invested $475 in the 6% account and $1375 in the 14% account.
Answer:
f = 1, w = 4
Step-by-step explanation:
Given the 2 equations
5w = 23 - 3f → (1)
4f = 12 - 2w (add 2w to both sides )
2w + 4f = 12 ( subtract 4f from both sides )
2w = 12 - 4f → (2)
Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f
20w = 92 - 12f → (3)
- 6w = - 36 + 12f → (4)
Add (3) and (4) term by term to eliminate f
14w = 56 ( divide both sides by 14 )
w = 4
Substitute w = 4 into either of the 2 equations and solve for f
Substituting into (1)
5(4) = 23 - 3f
20 = 23 - 3f ( subtract 23 from both sides )
- 3 = 3f ( divide both sides by - 3 )
1 = f
<h3>
Answer:</h3>
A. 28
<h3>
Step-by-step explanation:</h3>
We assume m is the measure of the marked unknown angles: ∠BZY ≅ ∠BZA
(5x +3)° = (2x +18)°
Divide by ° and subtract 2x+3:
... 3x = 15
... x = 5
Then ∠BZA = (2·5 +18)° = m = 28°
Answer:
1 7/8
Step-by-step explanation:
dont know lol but trust me