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sukhopar [10]
3 years ago
11

If the simple interest on $2000 for 7 years is $700, then what is the interest rate​

Mathematics
1 answer:
Bad White [126]3 years ago
3 0
The interest is 100 percent
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Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k​
Nuetrik [128]

Answer:

\displaystyle k = \frac{34}{3}

Step-by-step explanation:

We are given the polynomial:

\displaystyle P(x) = 3x^3 - kx^2 + 5x + k

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k  \end{aligned}

This must equal zero. Hence:

\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3}  \end{aligned}

In conclusion, <em>k</em> = 34/3.

6 0
2 years ago
How to solve 1542-517=
musickatia [10]

Answer:

1025

Step-by-step explanation:

1542-517=1025

7 0
3 years ago
Read 2 more answers
What is the volume of this solid?<br><br> A. 1104<br> B. 132<br> C. 96<br> D. 276
statuscvo [17]

For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:

The volume of the prism is given by:

V = A_ {b} * h

Where:

A_ {b}: It is the area of the base

h: It's the height

Substituting:V = 6 * 6 * 6\\V = 216 \ units ^ 3

The volume of the pyramid is given by:

V = \frac {1} {3} * L ^ 2 * h

Where:

L ^ 2:It is the area of the base

h: It's the height

Substituting:

V = \frac {1} {3} * 6 ^ 2 * 5\\V = \frac {1} {3} * 36 * 5\\V = 60units ^ 3

We add and we have:

V = 276 \ units ^ 3

ANswer:

Option D

6 0
3 years ago
Please help. Click to view picture. Algebra question. HELP ME PLEASE ASAP
Ugo [173]
Second answer if it still helps
4 0
3 years ago
Which property is illustrated, 1n = n​
steposvetlana [31]

1n=n Answer:

Step-by-step explanation:

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5 0
3 years ago
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