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3 years ago

Classify this by degree and by number of terms?

Mathematics

1 answer:

sveta [45]3 years ago

3 0

The answer is quintic binomial.

It is quintic because its highest power is 5. Quartic would mean its highest power is 4.

It is a binomial because the two terms are -4x^5 and -6x^3. Terms are separated by + or - signs.

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Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

6 0

2 years ago

Read 2 more answers

The Reverse of multiplication is?

hammer [34]

Answer:

division

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Answer ASAP 84.9 66.2 38.2 33.8

tankabanditka [31]

Step-by-step explanation:

You need to use trigonometric stuff here. Since you're given the hypotenuse and an angle you can plug that right into an equation.

Recall that sin is opposite over hypotenuse and cos is adjacent over hypotenuse.

$sin(\theta)=\frac{o}{h} \\sin(30)=\frac{x}{14} \\0.5=\frac{x}{14} \\x=7$

Now that you know the opposite side (DC) you can use tan, too, but I'm going to use cos.

$cos(\theta)=\frac{a}{14} \\cos(30)=\frac{x}{14} \\\frac{\sqrt{3} }{2} =\frac{x}{14} \\x=7\sqrt{3}$

This is the adjacent side (BC). I put it in its exact value, but in decimal form it's ≈12.124.

Now you can do the perimeter:

$2l+2w\\2(12.124)+2(7)\\24.248+14\\38.25$

Your answer is the 38.2

6 0

3 years ago

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 10.3

user100 [1]

Answer:

Confidence interval for the true mean number of reproductions per hour for the bacteria is (10.1,10.5).

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 10.3

Population standard deviation, σ = 2.1

Sample size, n = 728

Alpha, α = 0.01

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58$

$10.3 \pm 2.58(\frac{2.1}{\sqrt{728}} ) = 10.3 \pm 0.2008 = (10.0992,10.5008) \approx (10.1,10.5)$

6 0

2 years ago

Please help D:

lawyer [7]

The answer is <span>The sum is 10 · 11.
</span>
The first 10 positive even numbers are:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20

Their sum is:
2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 = 110

Now, let's present it as two factors:
110 = 11 * 10

3 0

3 years ago