9514 1404 393
Answer:
- 4% fund: $39,000
- 52% fund: $1000
Step-by-step explanation:
Let x represent the amount invested at 52%. Then (40000-x) is the amount invested at 4%. The total annual interest is ...
0.52x +0.04(40000-x) = 2080
0.48x = 480 . . . . . . . . . subtract 1600, simplify
x = 1000 . . . . . . . . . divide by 0.48
Then the amounts invested in each fund are ...
4% fund: $39,000
52% fund: $1000
4,6,8 are being counted by twos so the next one is 10
4•3= 12, 6+3=9, 8-3=6, the next operation I assume would be division so 10/3= 3.34
Answer:
179 R 1584
<h3>Part 1</h3>
6 × 384
6 × 4 = 24(carry the 2)
6 × 8 + 2 = 50(carry the 5)
6 × 3 + 5 = 23
Put it all together into one number
23 + 0 + 4 = 2,304
<h3>Part 2</h3>
3,856 + 284
6 does not add to 4 so it's 0
5 + 8 = 14(carry the 1 and add 1)
8 cannot add onto 2 so use the one you borrowed and carry. = 1
3 + 1 = 4
Put it together
4 + 1 + 4 + 0 = 4,140
<h3>Part 3</h3>
414,000
Simply add the two 0's in 100 to 4,140
<h3>Part 4</h3>
414,000 ÷ 2,304
Turn 4,140 into the thousands place temporarily.
4140
-2304
=1,836
Drop 0 to the result
18360
-16128
=2,232
Drop 0 again
22320
-20736
=1,584
Finally, you have a result.
179, Remainder 1584
Answer:
1) 19/53
2) 34/53
3) 12/53
4) 8/53
5) 13/53
Step-by-step explanation:
Find the group they are talking about and put it over the total amount of people
Let x = length of the park
Let y = width of the park
Because the area is 392392 ft², therefore
xy = 392392 (1)
Because three sides of fencing measure 5656 ft, therefore
2x + y = 5656 (2)
That is
y = 5656 - 2x (3)
Substitute (3) into (1).
x(5656 - 2x) = 392392
5656x - 2x² = 392392
2x² -5656x + 392392 = 0
x² - 2828x + 196196 = 0
Solve with the quadratic formula.
x = (1/2)*[2828 +/- √(2828² - 4*196196)]
= 2756.83 or 71.17
Answer:
The possible dimensions are 2756.8 ft and 71.2 ft (nearest tenth)
