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AleksandrR [38]
3 years ago
13

You have seen that the total number of lights in a triangular lighting rig is given by T(n) = n2/2 + n/2, while T(n+1) = n2/2 +

3n/2 + 1. If T(n) times T(n+1) = f(n), what is the reduced form of f(n)?
Mathematics
1 answer:
inn [45]3 years ago
8 0
Based on the scenario, the reduced form of f(n) is : 

f(n) = n^4/4+n^3 + 5n^2/4+n/2

or, it could also be written as

n/4 (n+1) (n^2 + 3n + 2)

hope this helps
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Pedro Pascal wants to have $15,000 in an account after five years. He found a bank that will offer him a 7.5% interest rate, com
Juli2301 [7.4K]

<u>Answer-</u>

He needs to put $10345 in the account today, in order to get 15000 in five years.

<u>Solution-</u>

We know that,

A=P(1+\frac{r}{n})^{nt}

Where,

A = future value of the investment with interest  = 15000

P = principal investment amount

r = annual interest rate (decimal)  = 7.5% = 0.075

n = number of times that interest is compounded per year  = 4

t = the number of years the money is invested = 5

Putting the values,

15000=P(1+\frac{0.075}{4})^{4 \times 5}

\Rightarrow P=\frac{15000}{(1+0.01875)^{20}} =\frac{15000}{1.01875^{20}} =\frac{15000}{1.45} =10344.8 \approx 10345

6 0
3 years ago
The nurse researcher is reading about linear regression. what is linear regression
ANEK [815]
Hello there.

   Linear regression is a useful tool that allows calculating approximate values for a function that passes through given points(with the best error possible). It is very useful in science to make an estimation of the comportment of movement, electricity and some decays.

   For example, I will relate a case in a physics lab: We calculated the positions of a car in an air rail and the times. With this information, I was able to make a linear regression to calculate the Position function for that case.
4 0
3 years ago
Read 2 more answers
I need help with a math question but apparently everyone is dead today..
Gwar [14]
The answer is D. I’m assuming this is surface area so here’s my explanation:) ok so the area of the triangle is 6 (4x3 divided by 2) and when you add the other triangle that’s 12. Ok so we have 12 so far. Then the area of the bottom rectangle is 24 (3x8). Then the area of the side rectangle is 32 (4x8). THEN the top rectangle’s area is 40 (8x5). When you add the numbers up (12+24+32+40) you get 108! And of course dont forget the cm2. ( centimeters squared ). :) I hope this helps
8 0
3 years ago
9. ax + by = (a - b), bx - ay = (a + b)​
mart [117]

Answer: give me brainliest

Step-by-step explanation:

ax+by=a-b

ax=a-b-by

x=a-b-by/a←

bx-ay=a+b

substituting

b(a-b-by/a)-ay=a+b

ab-b²-b²y/a-ay=a+b

ab-b²-b²y-a²y/a=a+b

ab-b²-(b²+a²)y=a²+ab

-(b²+a²)y=a²+ab-ab+b²

(b²+a²)y=-(a²+b²)

y=-(a²+b²)/a²+b²

y=-1←

substituting value of y

x=a-b-b(-1)/a

x=a-b+b/a

x=a/a

x=1

8 0
3 years ago
Help plz and thx for your help
Bumek [7]

9514 1404 393

Answer:

  Dawn has $1670 in account 1 and $1570 in account 2.

Step-by-step explanation:

Dawn can multiply the second equation by 8 and add 7 times the first equation.

  8(3/8A +7/8B) +7(A -B) = 8(2000) +7(100)

  10A = 16,700

  A = 1670

  B = 1570 . . . . 100 less than A

Dawn has $1670 in account 1 and $1570 in account 2.

__

<em>Check</em>

  3/8(1670) +7/8(1570) = 626.25 +1373.75 = 2000

3 0
3 years ago
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