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3 years ago

How much would 200 invested at 4% interest compounded monthly be worth after 8 years round to the nearest cent

Mathematics

1 answer:

steposvetlana [31]3 years ago

5 0

A=200×(1+0.04÷12)^(12×8)
A=275.28

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-3x-3y=9 need help what is this

Bad White [126]

Answer:

X equals negative 3 and y equals zero.

3 0

2 years ago

Use induction to prove: For every integer n > 1, the number n5 - n is a multiple of 5.

nignag [31]

Answer:

we need to prove : for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

1) check divisibility for n=1, $f(1)=(1)^{5}-1=0$ (divisible)

2) Assume that $f(k)$ is divisible by 5, $f(k)=(k)^{5}-k$

3) Induction,

$f(k+1)=(k+1)^{5}-(k+1)$

$=(k^{5}+5k^{4}+10k^{3}+10k^{2}+5k+1)-k-1$

$=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k$

Now, $f(k+1)-f(k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-(k^{5}-k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-k^{5}+k$

$f(k+1)-f(k)=5k^{4}+10k^{3}+10k^{2}+5k$

Take out the common factor,

$f(k+1)-f(k)=5(k^{4}+2k^{3}+2k^{2}+k)$ (divisible by 5)

add both the sides by f(k)

$f(k+1)=f(k)+5(k^{4}+2k^{3}+2k^{2}+k)$

We have proved that difference between $f(k+1)$ and $f(k)$ is divisible by 5.

so, our assumption in step 2 is correct.

Since $f(k)$ is divisible by 5, then $f(k+1)$ must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.

Therefore, for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

3 0

2 years ago

Complete the equation of the line through (-9,7) and (-6,-3) y=?

goblinko [34]

(0,6) if you need anything else use desmos :)

7 0

3 years ago

Read 2 more answers

100!!! Points

docker41 [41]

See the line is parallel to x axis.
The equation of that top is y<5

The range is

(-oo,0)U(oo,5)

-oo<y<5

Option D is correct

3 0

2 years ago

D’Angelo’s Pizza is planning to produce small square pizzas. It will cost them $2.00 to make each pizza, and the company will se

stealth61 [152]

Answer:

Gross profit formula= 3x

x= number of units sold

Step-by-step explanation:

Giving the following information:

Unitary variable cost= $2

Selling price per unit= $5

To calculate the profit earned, we need to use the unitary contribution margin formula. The contribution margin is a product's price minus all associated variable costs (sales- variable costs), resulting in the incremental profit earned for each unit sold.

Unitary contribution margin= 5 - 2 = 3

Now, the profit formula:

Gross profit formula= number of units*unitary contribution margin

Gross profit formula= 3x

x= number of units sold

5 0

3 years ago