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Salsk061 [2.6K]

2 years ago

12

A trapezoid has four sides with two sides that are the same length. Let the two sides have length x. The longest side has a leng

th 10 units longer than x. The short side has a length that is 2 units LESS than x. Create an expression for the TOTAL LENGTH of all the sides of the trapezoid

1 answer:

Oduvanchick [21]2 years ago

5 0

Answer:

fx21

Step-by-step explanation:

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For what value of p makes this equation true?

Naya [18.7K]

Step-by-step explanation:

Multiplication property of order

answer:C

p=-45

3 0

2 years ago

1. From 1992 to 2007 the average home price increased by 8% per year. In 1992 Anita Bath

Anuta_ua [19.1K]

Answer:

Anita Bath's home was worth $ 593,195.62 in 2007.

Step-by-step explanation:

Given that from 1992 to 2007 the average home price increased by 8% per year, and in 1992 Anita Bath bought a house for $ 187,000, to determine what was it worth in 2007 the following calculation must be performed:

2007 - 1992 = 15

187000 x 1.08 ^ 15 = X

187000 x 3.172 = X

593,195.62 = X

Therefore, Anita Bath's home was worth $ 593,195.62 in 2007.

5 0

3 years ago

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

Find the interest generated if one invests $6000 for 9 years at 7% per annum with interest compounded monthly

marysya [2.9K]

Answer:

principle= 6000

time =9 years

rate = 7%

so,

compound interest = p((1+r/100)^t. -1)

= 6000((1+0.07)^9 -1)

=6000(1.84-1)

=6000*0.84

=5040

8 0

2 years ago

2) write a linear function that passes through point ( 3, 6) and is perpendicular to Y=2X-1.

SVETLANKA909090 [29]

Answer:

y=-1/2*+5

Step-by-step explanation:

3 0

2 years ago