Answer:
Using the formula:

where
A is the total amount
P is the principal
I is the Simple Interest
As per the statement:
Principal(P) = 5300 rupees.
rate of interest(r) = 6.5% = 0.065
Total amount(A) = 6678 rupees.
Then using above formula we have;

Subtract 5300 both sides we get;

or

We have to find the time period.
Using formula of Simple interest:

where r is the rate of interest (in decimal)
here, r = 6.5% = 0.065
Substitute the given values top find t:

⇒
Divide both sides by 344.5 we have;

Therefore, the time period t in years is 4 years
Answer:
9,600/75,000, 16/125
Step-by-step explanation:
art+science=75000
<u>9600 </u>
75000 =16/125
Answer: 0.75
Step-by-step explanation:
We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.
We now have a triangle with the values of:
x = 4
y =3
h^2= 4^2 + 3^2
h^2 = 16 + 9
h^2 = 25
h = 5
h = 5
Tangent = opposite/adjacent
= y/x
= 3/4
= 0.75
Answer:
The area of the shaded region is 0.2898.
Step-by-step explanation:
Let <em>X</em> represent the IQ scores of adults.
It is provided that
.
Compute the probability of an adult having an IQ between 106 and 124 as follows:

*Use a <em>z</em>-table.
Thus, the area of the shaded region is 0.2898.
Answer:
Option (1)
Step-by-step explanation:
Radius of the spherical structure = 37.5 feet
Surface area of each panel = 49 square feet
Sphere is covered with panels.
Therefore, area of the panels needed = 
Surface area of the sphere = 4πr²
Here 'r' = radius of the sphere
For a sphere having radius 'r' = 37.5 feet,
Surface area of the sphere = 4π(37.5)²
= 17671.5 feet²
Number of panels required to cover the sphere = 
= 360
Therefore, Option (1) will be the answer.