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3 years ago

50 POINTS

Mathematics

1 answer:

Tcecarenko [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Part 1:

Price of the boat = $ 16,600

Depreciation rate = 14% = 0.14

Time of utilization of the boat = 11 years

Price of the boat after 11 years = Original price * (1 - Depreciation rate)^Time of utilization of the boat

Price of the boat after 11 years = 16,600 * (1 - 0.14)¹¹

Price of the boat after 11 years = 16,600 * 0.1903

<u>Price of the boat after 11 years = $ 3,159.30</u>

Part 2:

Let's find out the first term of the sequence given:

A(1) = -5 * 3¹⁻¹

A(1) = -5 * 1

A(1) = -5

Let's find out the fourth term of the sequence given:

A(4) = -5 * 3⁴⁻¹

A(4) = -5 * 3³

A(4) = -5 * 27

A(4) = -135

Let's find out the eighth term of the sequence given:

A(8) = -5 * 3⁸⁻¹

A(8) = -5 * 3⁷

A(8) = -5 * 2,187

A(8) = -10,935

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Use a formula to find the monthly payment on a home mortgage of $84,400 at 4.884% interest for 15 years.

leonid [27]

The applicable formula is
A = P(r/12)/(1 -(1+r/12)^(-12n))
where P is the principal amount,
r is the annual interest rate (compounded monthly), and
n is the number of years.

Using the formula, we find
A = 84,400*(0.04884/12)/(1 -(1+0.04884/12)^(-12*15))
= 84,400*0.00407/(1 -1.00407^-180)
= 343.508/0.518627
≈ 662.34

The monthly payment on a mortgage of $84,400 for 15 years at 4.884% will be
$662.34

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3 years ago

5 . x^2 /x^2 for x=2

goblinko [34]

Answer:

Step-by-step explanation:

Hello!

Plug in 2 for x and simplify.

<h3>Evaluate</h3>

$\frac{x^2}{x^2}$
$\frac{2^2}{2^2}$
$\frac44$
$1$

We could have also simplified the fraction first. If a fraction has the same number in the numerator and the denominator, then it is always equal to 1, no matter what values of x.

6 0

1 year ago

Three students wrote equations on their dry erase boards.

tiny-mole [99]

Answer:

13/20 = 65%

Step-by-step explanation:

1/4 = 25%

7/10 = 70%

13/20 = 65%

Only the last one had the correct percentage.

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3 years ago

Harmonic mean if a number h such that (h-a)/(b-h)=a/b Prove h is H(a,b) iff satisfies either relation a. (1/a)-(1/h) = (1/h) - (

Fudgin [204]

A.

$\displaystyle\frac1a-\frac1h=\frac1h-\frac1b$
$\implies\displaystyle\frac{h-a}{ah}=\frac{b-h}{bh}$
$\implies\displaystyle\frac{h-a}{b-h}=\frac{ah}{bh}$
$\implies\displaystyle\frac{h-a}{b-h}=\frac ab$

b.

$\displaystyle h=\frac{2ab}{a+b}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{\frac{2ab}{a+b}-a}{b-\frac{2ab}{a+b}}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{2ab-a(a+b)}{b(a+b)-2ab}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{ab-a^2}{b^2-ab}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{a(b-a)}{b(b-a)}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac ab$

The other direction can be proved by following the manipulations in the reverse order.

7 0

3 years ago

Which of the four representations are incorrect?

kolezko [41]

Answer:

The equation is wrong

Step-by-step explanation:

if you read the description closley, it matches eith rhe table and the graph but if you know how to do the equation, its no -5/2x+40

3 0

3 years ago

Read 2 more answers