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vlada-n [284]
2 years ago
7

Mike measured the height of an art frame as 6.33 feet, but the actual height was 7 feet. what is the percent of error in mike's

measurement?
Mathematics
1 answer:
natulia [17]2 years ago
6 0

Answer:

the error is 7-6.33=0.67

the percentage of error is (0.67/7)×100≈9.5%

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Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 5% in interest and the other pa
blagie [28]

a = amount invested at 5%

b = amount invested at 2%

now, we know the total invested by Mr Wilson was 20000, so whatever "a" and "b" might be, we know that a + b = 20000.

a + b = 20000\implies b = 20000-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{5\% of a}}{\left( \cfrac{5}{100} \right)a}\implies 0.05a~\hfill \stackrel{\textit{2\% of b}}{\left( \cfrac{2}{100} \right)a}\implies \begin{array}{llll} 0.02b\\\\ \stackrel{substituting}{0.02(20000-a)} \end{array}

now, we know the total of earned interest is 550 bucks, so then

0.05a~~ + ~~0.02(20000-a)~~ = ~~550\implies 0.05a+400-0.02a=550 \\\\\\ 0.03a+400=550\implies 0.03a=150\implies a=\cfrac{150}{0.03}\implies a=5000 \\\\\\ ~\hspace{24em}\stackrel{20000~~ - ~~5000}{b=15000}

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1 year ago
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tamaranim1 [39]
Divide 2 by 9. 2 divided by 9 is 0.222
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3 years ago
SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
Hitman42 [59]

Answer:

a) C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty).

b) C(x) decreases in (8\,s, 10\,s).

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Let C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850, where x is the quantity of insecticide, measured in hundreds of liters, and C(x) is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of C(x) are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

C'(x) = 3\cdot x^{2}-54\cdot x+240 (1)

Please notice that regions where C(x) is increasing has C'(x) > 0, whereas C'(x) < 0 when C(x) < 0.

We notice that C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty). Besides, C(x) decreases in (8\,s, 10\,s).

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3 years ago
Gavyn was thinking of a number. Gavyn subtracts 8.3 from the number and gets an answer of 52.7. Form an equation with x from the
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