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3 years ago

Help! please don't get it wrong

Mathematics

1 answer:

AfilCa [17]3 years ago

7 0

C. because When you connect the two with a straight line for both answers eliminated the other three options. Hope this helps:)

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There are exactly four positive integers $n$ such that \[\frac{(n + 1)^2}{n + 23}\] is an integer. Compute the largest such $n$.

ololo11 [35]

Let's present the given equation first. Deciphering the given code, I think the equation is (n+1)²/n+23. Then, we want to find the maximum value of n. Suppose the complete equation is:

f(n) = (n+1)²/n+23

To find the maximum,let's apply the concepts in calculus. The maxima can be determined by setting the first derivative to zero. Therefore, we use the chain rule to differentiate the fraction. For a fraction u/v, the derivative is equal to (vdu-udv)/v².

f'(n) = [(n+23)(2)(n+1)-(n+1)²(1)]/(n+23)² = 0
[(n+23)(2n+2) - (n+1)²]/(n+23)² = 0
(2n²+2n+46n+46-n²-2n-1)/(n+23)²=0
n²+46n+45=0
n = -1, -45

There are two roots for the quadratic equation. Comparing the two, the larger one is -1. Thus, the maximum value of n is -1.

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3 years ago

Janice deposited $750 in a savings account that earns 3.5% simple interest. How much interest has Janice earned by the end of th

lisov135 [29]

Answer:

$26.25

Step-by-step explanation:

We know that I = Prt where I = Interest, P = Principal, r = rate (as a decimal) and t = time (in years). Therefore:

I = 750 * 0.035 * 1 = $26.25

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4 years ago

What are the first 3 terms for nth term=3n<br>

SpyIntel [72]

Answer:

3, 6, 9

Step-by-step explanation:

To find the first 3 terms , substitute n = 1, 2, 3 into the n th term rule.

a₁ = 3(1) = 3

a₂ = 3(2) = 6

a₃ = 3(3) = 9

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3 years ago

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What percent is equivalent to 0.25?

drek231 [11]

Answer:

25%

Step-by-step explanation:

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grandymaker [24]

Answer:

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Assignment: 01.07 Laboratory

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