Answer:
<em>The simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100</em>
Step-by-step explanation:
The formula for calculating simple interest is expressed as;
SI = Principal * rate * time/100
SI = 50,000 * 6.9*39/100*12
SI = 500*6.9*39/12
SI = 134,550/12
SI = 11,212.5
<em>Hence the simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100</em>
P is the amount borrowed
R is the interest rate
T is the time in years
Assuming the numbers are percents, the answer is 25%, because 5/20 is 1/4, then convert the fraction to a percentage and you get 25%.
565 is the correct answer
Answer:
See explanation
Step-by-step explanation:
In ΔABC, m∠B = m∠C.
BH is angle B bisector, then by definition of angle bisector
∠CBH ≅ ∠HBK
m∠CBH = m∠HBK = 1/2m∠B
CK is angle C bisector, then by definition of angle bisector
∠BCK ≅ ∠KCH
m∠BCK = m∠KCH = 1/2m∠C
Since m∠B = m∠C, then
m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH (*)
Consider triangles CBH and BCK. In these triangles,
- ∠CBH ≅ ∠BCK (from equality (*));
- ∠HCB ≅ ∠KBC, because m∠B = m∠C;
- BC ≅CB by reflexive property.
So, triangles CBH and BCK are congruent by ASA postulate.
Congruent triangles have congruent corresponding sides, hence
BH ≅ CK.
The original bill is $ 83.475