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3 years ago

Divide. (x+4)(2x−5)(x−1) ---------------------- (x+1)(x+4)(2x−5)

Mathematics

1 answer:

maksim [4K]3 years ago

7 0

Step-by-step explanation:

(x+4)(2x−5)(x−1)

----------------------c

(x+1)(x+4)(2x−5)

(x+4)^(1-1)(2x-5)^(1-1)(2x-5)^(1-1)

(x+4)°(2x−5)°(x−1)°

1×1×1

law of indices says that x²/x=x^(2-1)=x

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3 years ago

Henry buys a large boat for the summer, however he cannot pay the full amount of $32,000 at

Anna007 [38]

Answer:

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

Step-by-step explanation:

Loan payment per month=Amount to pay÷discount factor

Mathematically P=A÷D

where D is the discount factor calculated using the formula;

$\frac{(1+i)^n-1}{i(1+i)^n}$

where i=periodic interest rate=annual rate divided by number of payment periods

A is the amount to pay after downpayment

P is the loan monthly payment amount

n=number of periodic payments=payments per year times number of years

⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments

Given;

Cost of boat=$32000

Down payment=$14000

Loan to pay=$32000-$14000=$18000

Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458

Periodic payments, n=4×12=48

Finding the discount factor D;

$D=\frac{(1+i)^n-1}{i(1+i)^n} \\\\\\D=\frac{(1+0.00458)^{48} -1}{0.00458(1+0.00458)^{48} } \\\\\\D=\frac{1.2455-1}{0.005703} \\\\\\D=\frac{0.2455}{0.005703} =43.05$

To get the amount to pay monthly divide the loan to pay with the discount factor

$=\frac{18000}{43.05} =418.14$

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

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3 years ago

Item 18

nasty-shy [4]

The first thing we have to do is to calculate the midpoint of the min and max speeds. We are given that the min and max is 74 and 95 respectively. The midpoint is then calculated as (max+min) / 2. Therefore:

midpoint = (74 + 95) / 2 = 84.5

Next, we calculate the distance from the midpoint to the endpoint by doing subtraction. Therefore:

min endpoint: 84.5 – 74 = 10.5

max endpoint: 95 – 84.5 = 10.5

Now we know that v minus the midpoint will equal the distance such that:

| v - midpoint | = distance.

To our problem,

| v – 84.5 | = 10.5

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