6%
You want to calculate the interest on $12000 at 6% interest per year after 5 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $12000.00.
r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
t is the time involved, 5....year(s) time periods.
So, t is 5....year time periods.
To find the simple interest, we multiply 12000 × 0.06 × 5 to get that:
The interest is: $3600.00
Answer:
Charles is incorrect
Step-by-step explanation:
Lupe bought 8 pounds of pretzels for $18, meaning that she bought them at a unit rate of $2.25 per pound. Charles bough 6 pounds of pretzels for $15, meaning he bought them at a unit rate of $2.50 per pound. Even though Charles paid less, he didn't get the better deal because he paid more per pound than Lupe did.
The eagle flies 58 miles per day. You must divide the distance (290) by the time (5 days). Since the eagles daily distance is consistant, you needn't do much more.
118.2 Degrees is the correct answer.
Further Explanation:
The diagram is attached with the answer to explain the scenario.
We can see that ∠1 and ∠2 are supplementary angles i.e. their sum will be 180°
So,
m∠1 + m∠2 = 180°
61.8° + m∠2 = 180°
m∠2 = 180° - 61.8°
m∠2 = 118.2°
Corresponding angles are those angles which have the same relative position on each intersection where a line intersects two other lines. If the two other lines are parallel then corresponding angles are equal.
We can see from the diagram that ∠2 and ∠6 have the same realtive position and as the lines which were intersected are parallel so
m∠2 = m∠6
So,
m∠6 = 118.2°
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Answer: a) 110√2 meters
b) 2.42 hectares
<u>Step-by-step explanation:</u>
a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse. Therefore, the sides are length x and the diagonal is length x√2.
b) Area of a square is side squared. 10,000 meters² = 1 hectare