Answer:
The amount after 1 year is $ 1060 .
Step-by-step explanation:
The amount after 1 year on $1,000 invested at 6% per year on simple interest
is given by,
$
= $ (1000 + 60)
= $ 1060
We know that, if,
Principal = P unit
Rate of annual simple interest = R%
Time = T year
then, amount, A = unit
If you move it to the tens place it will wind up being 372,902
Answer:
P = 8w+10
Step-by-step explanation:
To find the dimensions, create an equation for its perimeter and solve. Recall, the perimeter formula for a rectangle is P = 2l+2w. The length is 5 inches shorter than triple its width so 3w-5. And the width is w.
P = 2l+2w
P = 2(3w-5) + 2w
P = 6w-10+2w
P=8w+10
Answer:
a. p`± z₀.₀₂₅
b.0.6 ± 1.96
c. { -1.96 ≤ p`± z₀.₀₂₅ ≥ 1.96} = 0.95
Step-by-step explanation:
Here the total number of trials is n= 1000
The number of successes is p` = 600/1000 = 0.6. The q` is 1 - p`= 1- 0.6 = 0.4
The degree of confidence is 95 % therefore z₀.₀₂₅ = 1.96 ( α/2 = 0.025)
a. The formula used will be
p`± z₀.₀₂₅ ( z with the base alpha by 2 (α/2 = 0.025))
b. Putting the values
0.6 ± 1.96
c. Confidence Interval in Interval Notation.
{ -1.96 ≤ p`± z₀.₀₂₅ ≥ 1.96} = 0.95
{ -z( base alpha by 2) ≤ p`± z₀.₀₂₅ ≥ z( base alpha by 2) } = 1- α
<h3>
Answer: 4 cm</h3>
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The base of the carton is 5*8 = 40 square cm. The height of the milk is 12 cm, so the milk takes up 40*12 = 480 cubic cm of volume. Imagine a rectangular block with dimensions 5, 8 and 12. The volume would be 480.
The carton is placed on its side. Specifically the orange side is flat on the table (assume the table is level). This orange face has area 8*15 = 120 square cm. It multiplies with some height h, which is the height of the milk after moving the carton, to get the volume of the milk inside.
The volume of the milk is 120h and it must be equal to 480 since the amount of milk has not changed as we moved the carton (assume there are no leaks)
So,
120h = 480
120h/120 = 480/120
h = 4
The height of the milk after moving the carton is 4 cm