What is 27/2 written as a mixed number?

PLEASE HELP!! Find the amount after 6 years if $1000 is invested at an annual rate of 4% compounded:

Inga [223]

B thank me later :) give me hearts

6 0

3 years ago

The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func

alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

$h(t)=-16t^2 + 96t$

Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

$To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq 0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq 0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)$

$Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq 0\\-112 \geq 0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq 0\\80 \geq 0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq 0\\-112 \geq 0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution$

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

$0 \leq t \leq 6$

The height will be positive in the above interval.

7 0

3 years ago

Read 2 more answers

the recipe calls for 2 3/4 cups of tomatoes how many cups of tomatoes written as a fraction greater than one are used in the rec

almond37 [142]

11/4 cups of tomatoes.

4 0

3 years ago

True or false question

Romashka [77]

The answer should be true

6 0

3 years ago

the local library has a children's section with picture books and chapter books. the ratio is 2:3. if there are a total of 500 b

Katarina [22]

Answer:

<u>There are 300 chapter books and 200 picture books in the children's section at the local library.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of books in the children's section at the local library = 500

Ratio 2:3 for picture books and chapter books

2. How many chapter books are in the section?

We will use the Rule of Three Simple for answering this question, this way:

Chapter books Total books

3 5

x 500

x * 5 = 500 * 3

5x = 1,500

x = 1,500/5

x = 300

<u>There are 300 chapter books and 200 picture books in the children's section at the local library.</u>

5 0

3 years ago