I=$720, P=$1000, r=9% Find the amount of the time.
2 answers:
Conclusion:
The duration is 8 years.
Detailed Breakdown:
Simple interest is the interest accrued from the principal over time without adding onto the principal for future interests, making it consistent across periods as long as the rate and duration remain unchanged.
The interest amount depends on three key factors: Capital, rate, and time, represented by the equation:
I = P * r * t
In this instance, I equals $720, P is $1000, and r at 9% translates to 0.09 in decimal form.
Substituting into the formula gives:
720=1000*0.09*t
Calculating 1000 multiplied by 0.09 gives:
720=90*t
To solve for t, divide both sides by 90:
8=t
Since t is in years, we confirm that the duration is 8 years.
You might be interested in
Answer:
The ratio corresponds to the tangent of ∠I.
Step-by-step explanation:
Let’s revisit the trigonometric ratios:
- sin Ф =
- cos Ф =
- tan Ф =
For triangle HIJ
∵ m∠J = 90°
- The hypotenuse is the side opposite the right angle.
So, HI is the hypotenuse.
∵ HJ = 3 units
∵ IH = 5 units
- We’ll apply the Pythagorean Theorem to solve for HJ.
∵ (HJ)² + (IJ)² = (IH)²
∴ 3² + (IJ)² = 5²
∴ 9 + (IJ)² = 25
- Subtract 9 from both sides.
∴ (IJ)² = 16
- Taking the square root on both sides gives:
∴ IJ = 4 units
To determine the tangent of ∠I, identify the sides that are opposite and adjacent to it.
∵ HJ is opposite to ∠I
∵ IJ is adjacent to ∠I
- Utilizing the rule of tan above:
∴ tan(∠I) =
∴ tan(∠I) =
The ratio indicates the tangent of ∠I.
Response:
The area of the shaded part is 42.50 cm².
Detailed explanation:
Examine the diagram provided.
The circle has a radius of r = 5 cm.
Dimensions of the rectangle are:
l = 11 cm
b = 11 cm.
Calculate the area of the shaded portion as follows:
Area of the shaded region = Area of rectangle - Area of circle
Consequently, the shaded area totals 42.50 cm².
