Lisa invests $4,000 in two types of bonds, bond A and bond B. Bond A offers a 10% return, and bond B offers a 6% return. Lisa invests $x in bond A and $y in bond B. Her total return on the investment is $340. The system of linear equations defining the situation is x+y=4,000 and .1x=.06y=340. The amount Lisa invested at the rate of 10% is ___ , and the amount she invested at the rate of 6% is ___ .

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Answer 1
Answer: Lisa invests $4,000 in two types of bonds, bond A and bond B. A + B = 4000 Bond A offers a 10% return, and bond B offers a 6% return. .10 A + .06 B = 340 Her total return on the investment is $340. since the relationship A+B=4000 must satisfy the setup for all values A and B we can state that A = 2000 + n, and B = 2000 -n afterall: 2000 +n + 2000 - n = 4000 for all n .10(2000+n) + .06(2000-n) = 340, once we know n we know A and B

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Measurement is the use of numbers according to a standard. True or False

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The definition of "measurement" (noun) is the use of numbers, dimensions, quantity, or capacity as ascertained by comparison with a standard. It can also refer to the act of measuring, which is a verb.

Write the polynomial in standard form. Give the degree of the polynomial. Classify the polynomial byits degree.

a. 7x-14x^4 +19x^3 +26x^5-18

Standard form:

degree:

name based on degree:

Answers

Answer:

Sure, I'd be happy to help!

The polynomial you provided is:

7x - 14x^4 + 19x^3 + 26x^5 - 18

To put this polynomial in standard form, we need to factor it. Here's the factored form of the polynomial:

7x(1 - 14x^3 + 19x^2 + 26x^4) - 18

Now, we can see that the degree of the polynomial is 4, so it is a quartic polynomial.

Based on the degree of the polynomial, we can classify it as a quartic polynomial.

Step-by-step explanation:

Glen is looking into buying a piece of land. He estimates that the land measures 100 yd by 850 yd. The land is actually 140 yd by 940 yd. What is the percent error in the estimated area of the land? A. 35.4%
B. 17.7%
C. 64.6%
D. 32.3%

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1) First find the areas:
100 * 850 = 85000
140 * 940 = 131600
2) Find the percent error in the area
percent error = (experimental value - accepted value)/(accepted value) *100
% error = (85000 - 131600)/(131600) * 100 = 35.4%

Which trinomial is equivalent to 3(x-2)^2 - 2(x-1)

Answers

Answer:

3x^2-14x+14

Step-by-step explanation:

the expression we have is:

3(x-2)^2-2(x-1)

to solve we need to develop the square binomial

(x-2)^2

with the following formula:

(a-b)^2=a^2-2ab+b^2

So we have:

(x-2)^2=x^2-2*2x+2^2\n(x-2)^2=x^2-4x+4

and the expression now is:

3(x^2-4x+4)-2(x-1)

developing multiplications to remove parentheses:

3x^2-3*4x+3*4-2x+2*1\n3x^2-12x+12-2x+2

joining like terms:

3x^2-14x+14


This expression can be simplified so it becomes:

(3x^2 - 4) - (2x - 1)

3x^2 - 2x - 3

What is 2 and 3/4 divide by 5 and 27/9

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it would be 1.65 in decimal form.  convert it to fraction and thats your answer

Click on the pic,, plz help

Answers

Answer: - 2x^2 + 4x + 3

Step-by-step explanation:

( -x^2 - 4x - 5) + ( -x^2 + 8x + 8)

Take out parentheses:

- x^2 - 4x - 5 - x^2 + 8x + 8

Write in a way so that like terms are grouped together:

- x^2 - x^2 - 4x + 8x - 5 + 8

Combine 'x^2' terms:

- 2x^2 - 4x + 8x - 5 + 8

Combine 'x' terms:

- 2x^2 + 4x - 5 + 8

Combine integers:

- 2x^2 + 4x + 3