Lamar took out a loan for $2500 and was charged simple interest at an annual rate of 9.3%. the total interest he paid on the loan was $186 . how long was the loan for, in days? assume that there are 365 days in a year, and do not round any intermediate computations.

292 days

Solution:

Step 1: Given data:

Principal = $2500

Annual rate = 9.3%

Simple interest paid = $186

Step 2: To find the number of year for the loan paid.

Simple interest =

Do cross multiplication.

⇒ 186 × 100 = 2500 × 9.3 × years

⇒

⇒

Step 3: To find how long the loan was paid in days:

1 year = 365 days

Multiply years by 365

⇒

⇒ days = 292

Hence, the loan was paid in 292 days.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

bull

step-by-step explanation: