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3 years ago

Gerald deposited $950 into two different accounts.

Mathematics

1 answer:

sergey [27]3 years ago

8 0

Answer:

Step-by-step explanation:

The interest is 166.52.

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How do I find the solution for this quadratic?

Ahat [919]

Hello,
Please, see the attached file.
Thanks.

3 0

3 years ago

Determine if the series is convergent or divergent 20-15+10-5....

Kazeer [188]

Answer:

Option b is correct.

The series 20-15+10-5....is Divergent

Step-by-step explanation:

Alternating series Test:

$\sum_{n=1}^{\infty} (-1)^{n-1} (b_n) =b_1-b_2+b_3-........$

$b_n>0$ satisfies:

$b_{n+1} \leq b_n$ for all n

$\lim_{n\rightarrow \infty} b_n = 0$

Then the series converges,

otherwise diverges.

Given the series: 20-15+10-5....

This is a alternating series:

$\sum_{n=1}^{\infty} (-1)^{n-1} (20-5(n-1))$

$b_n = (20-5(n-1))$

$b_{n+1} = (20-5(n+1-1)) = (20-5n)$

using the alternating series test;

$b_{n+1} \leq b_n$ for all n

$\lim_{n\rightarrow \infty} b_n = \lim_{n\rightarrow \infty} (20-5(n-1)) = -\infty$

⇒ the series diverges.

therefore, the given series i,e 20-15+10-5.... is divergent.

3 0

4 years ago

P(x) = 3x^4 – 2x3 + 2x² – 1<br> What is the remainder when P(x) is divided by (x + 1)?

Kaylis [27]

Answer:

Step-by-step explanation:

Hello, we can use the Remainder Theorem, so the remainder is P(-1)

$P(-1)=3+2+2-1=6$

Thanks

7 0

3 years ago

50 points :] !!

nasty-shy [4]

Given,

LP = 15, PR = 9

Point P lies on the line segment PR. It would mean that,

LP + PR = LR

⇒LR = 15 + 9

⇒ LR = 24

Hence, "LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution" is the correct option.

6 0

3 years ago

You are wallpapering a wall 10 feet wide and 12 feet high with a square window with 3 foot sides. How many square feet of wallpa

kolbaska11 [484]

Hey there!

First you need to see how much you need to buy, and when you do 10 x 12 = 120.

So you need at least 120 feet to cover the wall.
Now you have to factor in the wall, when you do 3 x 3 (B x H) = 9.
Now do, 120 - 9 = 111.

So you need 111 square feet to cover the wall.

Hope this helps!

6 0

3 years ago