The amount of the loan after 11 years is $34,113.53 and the intereest earned is $4,113.53
<h3>How to calculate the compound interest</h3>
The formula for calculating the exponential function is expressed as:
Given the following
- P = 30,000
- r = 0.047
- t = 11 years
- n = 4
Substitute into the formula to have:
Hence the amount of the loan after 11 years is $34,113.53
<h3>
Find the interest earned</h3>
Interest = A - P
Interest = 34,113.53 - 30000
Interest = 4,113.53
Hence the intereest earned is $4,113.53
Learn more on compound interest here: brainly.com/question/24924853
Answer:
(x+5i)(x-5i)
Step-by-step explanation:
We use imaginary numbers to solve that. since i = sqare root of -1 so i * i = -1.
From 1st condition:
3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS
From 2nd condition, (Same process are repeated)
81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
Answer:
x = 27
Step-by-step explanation:
∠ CAD and ∠ EDF are corresponding angles and are congruent, so
∠ CAD = 2x
The sum of the 3 angles in Δ ABD = 180°
sum the angles and equate to 180
72 + 2x + 2x = 180
72 + 4x = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
Answer:
I believe there are 70 students in the theater!
Step-by-step explanation:
In the ratio 2:3 going to 28:? there is a pattern. You multiply 2 by 14 to get to 28, so if you multiply 3 by 14 you get 42. Add 42 to 28 for the total amount of students in class!
Have a nice night!
