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4 years ago

At the moment a hot iron rod is plunged into freezing water, the difference between the rod's and the

Mathematics

2 answers:

dimaraw [331]4 years ago

8 0

Answer:

D(t)=100(0.4)^t

Step-by-step explanation:

jonny [76]4 years ago

5 0

Answer:

<h2>The function is</h2><h2> $D(t) = 100 \times( \frac{40}{100} )^{t}$ </h2>

Step-by-step explanation:

At t = 0 the difference is 100 degree celsius.

After one second the temperature difference will be $100 - \frac{100\times60}{100}$ = $100(1 - \frac{60}{100} )$

After two second, the difference will be $100(1 - \frac{60}{100} )(1 - \frac{60}{100} ) = 100(1 - \frac{60}{100} )^{2}$

Hence, it can be written that,

$D(t) = 100 \times(1 - \frac{60}{100} )^{t}$ = $100 \times( \frac{40}{100} )^{t}$

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Sue had $100.00 in her wallet. She spent 23% of that money on notebooks and folders how much money did she spent?

ruslelena [56]

Answer: 23$

Step-by-step explanation: 100*.23=23$

7 0

3 years ago

Read 2 more answers

Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compoun

tamaranim1 [39]

Answer:

A = $35,198.32

Step-by-step explanation:

<em>Use the formula to calculate compound interest</em>:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can <u>combine the formulas</u> into:

$A = P(1+\frac{r}{c})^{tc}$

"c" is the compounding periods in a year. (quarterly = 4)

<u>We know</u>:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

<u>Substitute the information in the formula</u>.

$A = P(1+\frac{r}{c})^{tc}$

$A = 8000(1+\frac{0.1}{4})^{15*4}$ Solve "i" and "n"

$A = 8000(1+0.025)^{60}$ Solve inside the brackets

$A = 8000(1.025)^{60}$ Do the exponent before multiplying by 8000

A = 35198.318 Exact answer

A ≈ 35198.32 Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

5 0

3 years ago

For better clarification I guess

marissa [1.9K]

Answer:

1.) $=\frac{\sqrt{3}}{3}$

2.) $42\sqrt{30}$

Step-by-step explanation:

1.) $\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{3}}{\sqrt{3}}$

2.) $\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{b}=\sqrt{a\cdot b}$

$\sqrt{6}\sqrt{5}=\sqrt{6\cdot \:5}$

6 0

3 years ago

How to explain why a trapezoid is a quadrilateral but a quadrilateral is not always a trapezoid

Alex787 [66]

A quadrilateral is any figure with 4 sides, no matter what the lengths of
the sides or the sizes of the angles are ... just as long as it has four straight
sides that meet and close it up.

Once you start imposing some special requirements on the lengths of
the sides, or their relationship to each other, or the size of the angles,
you start making special kinds of quadrilaterals, that have special names.

The simplest requirement of all is that there must be one pair of sides that
are parallel to each other. That makes a quadrilateral called a 'trapezoid'.
That's why a quadrilateral is not always a trapezoid.

Here are some other, more strict requirements, that make other special
quadrilaterals:

-- Two pairs of parallel sides . . . . 'parallelogram'

-- Two pairs of parallel sides
AND all angles the same size . . . . 'rectangle'
   (also a special kind of parallelogram)

-- Two pairs of parallel sides
AND all sides the same length . . . 'rhombus'
   (also a special kind of parallelogram)

-- Two pairs of parallel sides
AND all sides the same length
AND all angles the same size . . . . 'square'.
   (also a special kind of parallelogram, rectangle, and rhombus)

5 0

3 years ago

Solve for the answer -1/2>3/4

ikadub [295]

Answer:

no solution ...................

7 0

3 years ago