Answer:
#a. $80
#b. $1680
Step-by-step explanation:
We are given;
- Amount invested (principal) is $1600
- Rate of interest is 5%
- Time = 1 year
We are required to determine the amount of simple interest earned and the amount or balance in the account after 1 year.
#a. Interest earned
To calculate simple interest we use the formula;
I = (PRT) ÷ 100
Where, P is the principal, R is the rate, T is the time and I is the simple interest.
Therefore;
I = (1600 × 5 × 1) ÷ 100
= $80
Therefore, simple interest earned is $80
#b. Balance of the account (Amount accrued)
We are going to use the formula;
A = P + I , where A is the amount accrued, P is the principal and I is the simple interest earned.
Therefore;
Account balance = $1600 + $80
= $1680
Thus, the account balance after 1 year will be $1680
Answer:
8 sqrt(5)
Step-by-step explanation:
sqrt(45) + sqrt(125)
Rewriting
sqrt(9*5) + sqrt( 25 *5)
we know sqrt(ab) = sqrt(a) sqrt(b)
sqrt(9) sqrt(5) + sqrt(25) sqrt(5)
3 sqrt(5)+5 sqrt(5)
Add like terms
8 sqrt(5)
<h3>Area of shaded region is 21.5 square centimeter</h3>
<em><u>Solution:</u></em>
The area of the shaded region is equal to the area of the square minus the area of the circle
<em><u>
Find the area of the square</u></em>

Where, "a" is the length of each side
From given figure in question,
a = 10 cm

<em><u>Find the area of circle
</u></em>
The area of the circle is given as:

Where, "r" is the radius of circle
Diameter = 10 cm

Thus,

<em><u>Find the area of the shaded region</u></em>
Area of shaded Region = Area of Square - Area of Circle
Area of shaded Region = 100 - 78.5 = 21.5
Thus area of shaded region is 21.5 square centimeter
Answer:
<h2>
64.8</h2><h2>
</h2>
Step-by-step explanation:
total area = rectangle + semi circle
= (11 x 5) + (1/2 * π * 2.5²)
= 55 + 9.8
= 64.8 sq. units
Answer:
18 jumps would be expected in a 2 hour period.
Step-by-step explanation:
Given : A dolphin jumps 54 times in a 6 hour period.
To find : At this rate, how many jumps would be expected in a 2 hour period?
Solution :
Applying unitary method,
In 6 hour period Dolphin jumps 54 times.
In 1 hour period Dolphin jumps
times.
In 1 hour period Dolphin jumps 9 times.
In 2 hour period Dolphin jumps
times.
In 2 hour period Dolphin jumps 18 times.
Therefore, 18 jumps would be expected in a 2 hour period.