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2 years ago

8

consider the series ∑n=1[infinity]4n 2. let sn=∑i=1n4i 2 be the n-th partial sum; that is the sum of the first n terms of the se

ries. find s3 and s5.

1 answer:

Semenov [28]2 years ago

4 0

Answer:

Step-by-step explanation:

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-3(4+2n) multiply -3 by 4 and 2n

-12-6n

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Each day that Samantha rides the train to work, she pays $4.00 each way. If Samantha takes the train to work and back 3 times, w

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Total ticket expenses = $24

Step-by-step explanation:

Given:

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3 years ago

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Adam wishes to have $20 comma 000 available in 18 years to purchase a new car for his son as a gift for his high school graduat

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Adam should invest $15516 after 18 years.

<u>Explanation:</u>

Given:

Amount(18) = $20000

Rate of Interest, r = 1.41%

Time, t = 18 years

n = 365 (compounded daily)

General equation of amount that is compounded daily:

$A(t) = A_0(1 + \frac{r}{n} )^n^t$

Solving for A₀:

$A_0 = \frac{A(t)}{(1+\frac{r}{n} )^n^t}$

Substituting the values:

$A_0 = \frac{20000}{(1 + \frac{0.0141}{365})^3^6^5^X^1^8 } \\\\A_0 = \frac{20000}{1.289}\\ \\A_0 = 15516$

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3 years ago

8. If the discriminant is positive, there will be ______ real solutions.

Deffense [45]

Answer:

2

Step-by-step explanation:

The discriminant is the quantity under the radical in the quadratic formula ...

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[tex]

When that quantity is positive, the square root is real, and the formula gives two real values for x.

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3 years ago