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4 years ago

Write a function perfect that determines whether parameter number is perfect number

1 answer:

4 0

<span>An integer number is said to be a perfect number if the sum of its factors, including 1 (but not the number itself), is equal to the number</span>

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Answer please I will give brainiest to the one who answers first.

Lerok [7]

Answer:

$1,094,748.09
$8600.28
11 years, 10 months

Step-by-step explanation:

a) The compound interest formula can be used:

A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

A = $750,000(1 +.038/4)^(4·10) ≈ $1,094,748.09

Tamsyn's account will have a balance of $1,094,748.09 when she retires.

b1) The amortization formula is good for this.

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

where P is the amount earning interest at annual rate r compounded n times per year for t years.

A = $1,094,748.09(0.049/12)/(1 - (1 +0.049/12)^(-12·15)) ≈ $8600.28

Tamsyn can withdraw $8600.28 per month for 15 years.

b2) The account balance after n months will be ...

B = P(1 +r/12)^n -A((1+r/12)^n -1)/(r/12)

Filling in the known values and solving for n, we have ...

300,000 = 1,094,748.09(1.1.00408333^n) -8600.28(1.00408333^n -1)/.000408333

300,000 = 1,094,748.09(1.1.00408333^n) -2,106,191.02(1.00408333^n -1)

-1,806,191.02 = -1,011,442.93(1.00408333^n)

1.785757 = 1.00408333^n

n = log(1.785757)/log(1.00408333) = 142.3

After about 11 years 10 months, the account balance will be $300,000.

4 0

4 years ago

Find the inverse of function f. f(x) = 1/2x +7 / <img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B2%7Dx%20%2B%207"

kvasek [131]

The answer is C.) f^-1 (x) = 2x- 14 / $\:f^{-1\:}\left(x\right)=2x\:-\:14$

5 0

3 years ago

Use the graph below to estimate the solution to the system of equations shown.

Mila [183]

Answer: The second choice is answer.

Step-by-step explanation:

<h3>The first line (Blue One)</h3>

$y=-x-3$ (Slope is -1 and intercepts y at -3)

<h3>The second one (Red One)</h3>

$y=2x-8$ (Slope is 2, to find y-intercept. Substitute x = 0 then we get -8) (For x-intercept, it's 4. Just substitute y=0 to get x-intercept.)

Because there are choices, it's easy to notice.

The first one, x = -4 and almost -5 which is not right. (x is around 1 almost 2.)

The second one, x = 1 and almost 2 is right.

The third one, x = -1 and almost -2 is not right (The intersection isn't even at -1 or any negative number for x-axis.)

The fourth one, just like the first one... x = 4 almost 5

<h3>Or solve the equations.</h3>

$y=-x-3\\y=2x-8$

Substitute y=2x-8 in y=-x-3

$2x-8=-x-3\\2x-8+x+3=0\\3x-5=0\\3x=5\\x=\frac{5}{3}\\(x=1\frac{2}{3})$

Look at the value of x then find the answer that matches the value of x.

Now for y, substitute x = 5/3 in y = -x-3 (or in 2x-8 if you want.)

$y=-\frac{5}{3} -3\\y=-\frac{5}{3} -\frac{9}{3} \\y=-\frac{14}{3} \\(y=-4\frac{2}{3} )$

So the answer is the second choice.

6 0

3 years ago

HELP ME PLEASE I NEED ANSWERS REALLY FAST I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER SO PLEASE HELP ME!!!!

GuDViN [60]

Answer:

Step-by-step explanation:

These lines dont cross CD and are not parrellel which is what skew lines are.

3 0

3 years ago

John paid $450 for a new mountain bicycle to sell in his shop. He wants to price it so that he can offer a 10% discount but stil

Ghella [55]

Answer:

$643.50

Step-by-step explanation:

Let i be the profit realized from the sale and d be the discount made on the sale:

#John's selling price can be calculated by first adding profit, i to $450, the d to the new price as:

$P_n=P_o(1+i)+d[P_o(1+i)]\\=450(1+0.3)+0.1[450(1+0.3)]\\\\\\=450\times 1.3+0.1(450\times1.3)\\\\=585+58.5\\\\=643.50$

Hence, John will resell the bike at $643.50

8 0

3 years ago