After 3 months 5004 deposited in a savings account with simple interest had earned 162.63 in interest. what was the interest rate

13%

Step-by-step explanation:

Please use the $ sign.

The simple interest formula is i = p*r*t, where p is the principal amount, r is the interest rate as a decimal fraction, and t is the time in years.  Here, t = 1/4 year; r is unknown, p is $5004 and i is $162.63.

Writing this out with the given info, we get:

$162.63 = $5004*r*(1/4).

We can solve this for r by multiplying both sides by 4/$5004:

(4/$5004)($162.63)  = (4/$5004)($5004)*r*(1/4) = r

Evaluating r, we get (4)($162.63)/$5004 = 0.13

The interest rate, r, is 0.13, or 13%.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

addition

step-by-step explanation: