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3 years ago

What would be the value of $150 after eight years if you earn 12 %interest per year

Mathematics

2 answers:

castortr0y [4]3 years ago

5 0

Answer:

It would be $371.39

artcher [175]3 years ago

3 0

Answer:

$371.39

Step-by-step explanation:

150 * .12+150 = 168

168 * .12+168 = 188.16

188.16 * .12+188.16 = 210.7392

210.7392 * .12+210.7392 = 236.027904

264.3512525 * .12+264.3512525 = 296.0734028

296.0734028 * .12+296.0734028 = 331.6022111

331.6022111 * .12+331.6022111 = 371.3944764

you multiply your current number by 12% and add that to the number, the last number i rounded for the answer as you can see

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3 years ago

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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

3 years ago

Help on #6 and if you can #5

alexgriva [62]

You subtract y from 425, I can read #5 or is help

4 0

3 years ago

Solve for D Thanks!!

Verizon [17]

Answer:

The answer is d = C/pi.

Step-by-step explanation:

To solve this equation for the variable d, we must isolate it on the right side of the equation. It is currently being multiplied by pi, so to reverse this action, we should divide both sides of the equation by pi.

c = (pi) * d

c/pi = pi/pi * d

c/pi = d

d = c/pi

Therefore, the answer is d = C/pi.

Hope this helps!

5 0

2 years ago

Naomi just accepted a job at a new company where she will make an annual salary of $66000. Naomi was told that for each year she

Vaselesa [24]

Answer:

$82,000

$66,000 + $4000t

Step-by-step explanation:

Initial annual salary = $66,000

Salary raise per year = $4000

Salary earned after 4 years :

Initial salary + (raise per year * number of years)

$66,000 + ($4000 * 4)

$66,000 + $16,000

= $82,000

Salart after t years :

Initial salary + (raise per year * number of years)

$66,000 +.($4000 * t)

$66,000 + $4000t

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2 years ago

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