All categories

3 years ago

Find two positive numbers a and b (witha≤b) whose sum is 88 and whose product is maximized.

1 answer:

3 0

a + b = 88 

ab = y

a = 88 - b

y = (88 - b)*b
 y = -b^2 + 88b

Take the derivative and set equal to 0

y' = -2b + 88 = 0

2b = 88
 b = 44

a=44

both numbers are 44

You might be interested in

1,000 grams

stiv31 [10]

Answer:

True

Step-by-step explanation:

A Kilogram (kilo) is a unit of measuring metric mass. To perform this conversion you need to note that

1 Kilogram (kg) = 1000 grams

Which means that converting Kilogram to Grams would involve multiplying kilogram by 1000.

For example, 100 kg to grams = 100 * 1000 = 100,000 Grams

8 0

3 years ago

3=g/-4-5 g=?? i need help asappp

Scrat [10]

Answer:

g = -32

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which of the following inequalities represents a number y that is less than 4 but greater than -1

sukhopar [10]

Four is greater than y, and -1 is less than y

$4 > y < - 1$

5 0

3 years ago

Solve |x| < 13 A. {-13, 13} B. {x| -13< x < 13} C. {x|x < -13, x> 13}

Gemiola [76]

Answer:

the solution for x will be given by {x| -13 < x < 13}

Therefore the correct option is B.

Step-by-step explanation:

i) given that |x| < 13

ii) therefore x < 13 for positive values of x

iii) for negative values of x we have -x < 13

therefore x > -13

iv) from ii) and iii) above we can conclude that the solution for x will be given by {x| -13 < x < 13}

Therefore the correct option is B.

7 0

3 years ago

You deposit $5000 in an account earning 8% interest compounded monthly. How much will you have in the account in 15 years?

Rasek [7]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}$

$\bf A=5000\left(1+\frac{0.08}{12}\right)^{12\cdot 15}\implies A=5000(1.00\overline{66})^{180}\implies A\approx 16534.61$

5 0

3 years ago