PLEASE HELP ME!!! Please?

Mathematics

1 answer:

Ivenika [448]3 years ago

7 0

C, I hoped I helped!

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How would you write the following expression as a single term?<br> 3[2ln(x - 1) - In(x)] + In(x + 1)

zloy xaker [14]

Answer:

Lol i think this is da answer man

4 0

3 years ago

Raymond took out a 25-year loan for $135,000 at an APR of 3.6% compounded monthly. If his bank charges a prepayment fee of 6 mon

zepelin [54]

Answer:

D. 543.46

Step-by-step explanation:

The formula for the remaining balance on the loan is ...

A = P(1 +r)^n +p((1 -(1 +r)^n)/r)

where P is the principal, p is the monthly payment, r is the monthly interest rate, and n is the number of months.

We have P=135,000, p = TBD, r = 3.6%/12 = .003, n = 20×12 = 240.

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The monthly payment is given by the same formula by setting A=0. In this case, n is 25 years, or 300 payments. Solving for p, we get, ...

p = Pr(1 +r)^n/((1 +r)^n -1) = Pr/(1 -(1 +r)^-n)

So, the monthly payment is ...

p = 135,000×0.003/(1 -1.003^-300) = 683.10

Using this value in the formula for remaining balance, we get ...

A = 135000(1.003^240) +683.10((1 -1.003^240)/0.003) = 37,459.20

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80% of this balance is 29,967.36. The answer choices only make sense if we assume the interest penalty is equivalent to the interest being compounded monthly:

$29,967.36 × (1.003^6 -1) = $543.47

The closest match among answer choices is ...

D. 543.46

7 0

4 years ago

Harold is twice as old as Jack, who is three years older than Dan. If Harold's age is five times Dan's age, how old in years is

never [62]

Dan's age is x.
Jack is three years older than Dan, so his age is x+3.
Harold is twice as old as Jack, so his age is 2(x+3).

Harold's age is five times Dan's age.
$2(x+3)=5x \\
2x+6=5x \\
6=5x-2x \\
6=3x \\
\frac{6}{3}=x \\
x=2 \\ \\
x+3=2+3=5$

Jack is 5 years old.

4 0

3 years ago

Read 2 more answers

Write an equation in point slope form for the given line

PtichkaEL [24]

Answer:

$\large\boxed{y-4=-\dfrac{1}{2}(x-1)}$