Answer:
The amount invested are $2600 and $11400 respectively
Step-by-step explanation:
<em>Let the first amount be x</em>
Given:
(First Investment)
Principal (P1) = x
Rate (R1) = 4.5%
Time (T) = 1 year
(Second Investment)
Principal (P2) = 4x + 1000
Rate (R2) = 6%
Time (T) = 1 year
Income = $801
Calculating the income from the first investment;
Substitute values for P1, R1 and T
Calculating the income from the second investment;
Substitute values for P2, R2 and T
So:
Multiply through by 100
Collect Like Terms
Divide through by 28.5
Recall that; the second invest
Amount Invested = 4x + 1000
This gives
Hence;
<em>The amount invested are $2600 and $11400 respectively</em>
Step-by-step explanation:
1) Ans 3
2) Ans 6
3) Ans 4
4) Ans 1/5
5) Ans 1/23
They will require between 18.42 and 31.58 minutes.
We want the middle 90%. The two probability values associated with this would be 0.95 and 0.05; this would leave 5% below and 5% above, giving us the middle 90%.
Using a z-table (http://www.z-table.com) we see that the z-score associated with an area to the left of 0.05 is between -1.64 and -1.65; since it is equally distant from both we will use -1.645.
The z-score associated with an area of the left of 0.95 is between 1.64 and 1.65; since it is equally distant from both we will use 1.645.
The formula for a z-score is
z = (X-μ)/σ
-1.645 = (X-25)/4
Multiplying by 4 on both sides,
-1.645(4) = X-25
-6.58 = X-25
Adding 25 to both sides,
-6.58+25 = X
18.42 = X
For the upper bound,
1.645 = (X-25)/4
Multiplying both sides by 4,
1.645(4) = X-25
6.58 = X-25
Adding 25 to both sides,
6.58+25 = X
31.58 = X
The times are between 18.42 and 31.58 minutes.
Answer:
52 cents
Step-by-step explanation:
0.88 times 4 is 3.52, which is buying 4 boxes separately which means you'd save 52 cents if you bought 4 at once
You need to buy 100 feet of fencing.
2(30) + 2(20) = 60 + 40 = 100