5+a-4√(a+1)/(a-3) is the simplified form of the number. This can be obtained by multiplying numerator and denominator with conjugate of the denominator.
<h3>Simplify the number:</h3>
Given the number,
√a+1-2/√a+1+2
Denominator = √a+1+2
Conjugate of the denominator = √a+1 - 2
Now, (√a+1-2)(√a+1 - 2 )/√(a+1+2)(√a+1 - 2 )
=(√a+1 - 2 )²/(√a+1)² - 4
=(a+1 -4√a+1+5)/(a+1-4)
=5+a-4√(a+1)/(a-3)
Hence 5+a-4√(a+1)/(a-3) is the simplified form of the number.
Learn more about rational numbers:
brainly.com/question/1310146
#SPJ1
60*(1-x)=36
60-60x=36
-60x=36-60
-60x=-24
x=24/60
x=4/10
x=2/5
x=0.4
36 is 40% less than 60
Answer:
The times when h is 0
Step-by-step explanation:
Answer:
3 1/8, 8 1/5, 8 1/3
Step-by-step explanation:
Answer:
if the annual interest rate is 7%, then you need to invest:
present value = future value / (1 + i)ⁿ
- future value = $2,200,000
- i = 7%
- n = 28 years
present value = $2,200,000 / (1 + 7%)²⁸ = $330,884.87
if the interest rate is 15%, the you need to deposit a smaller amount:
present value = future value / (1 + i)ⁿ
- future value = $2,200,000
- i = 15%
- n = 28 years
present value = $2,200,000 / (1 + 15%)²⁸ = $43,942.34