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2 years ago

Which subset of the rational numbers best describes the dimension of a rectangle ?

Mathematics

1 answer:

Alinara [238K]2 years ago

6 0

Either A or D I believe

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Desmond deposits $50 into a savings account every month at an annual interest rate of

joja [24]

Given:

Desmond deposits $ 50 monthly.

Yearly he deposits = $50×12 = $ 600

Rate of interest compounded monthly = 4.7%

To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.

Formula

$A = P(1+\frac{r}{(n)(100)} )^{nt}$

where,

A be the final amount

P be the principal

r be the rate of interest

t be the time and

n be the number of times the interest is compounded.

Now,

Taking,

P = 600, r = 4.7, n = 12, t = 10 we get,

$A = 600(1+\frac{4.7}{(12)(100)}) ^{(12)(10)}$

or, $A = 600(1.0039)^{120}$

or, $A = 959.1$

Now,

At starting he has $ 600

At the end of 10 years he will be having $ 959.1

So,

The amount of change in his account = $ (959.1-600) = $ 359.1

Therefore the rate of change = $(\frac{359.1}{600} )(100) %$

= 59.85%

Hence,

a) His account will contain $ 959.1 after 10 years.

b) The rate of change in his account is 59.85% after 10 years.

7 0

2 years ago

The following 5 keys are for the following 5 locked padlocks. Each key opens one and only one padlock. Different keys open diffe

Scilla [17]

${5}^{5}$

is the answer.

7 0

2 years ago

Charlie's weight is nine kilograms greater than his brother's. Together they weigh 99 kilograms. Let x represent the weight of t

spayn [35]

C=x+9, c+x=99, c=99-x

So we have two equations equal to c, c=x+9 and c=99-x, since c=c:

x+9=99-x

2x+9=99

2x=90

x=45, and since c=x+9, c=54

So Charlie weighs 54 kg and his brother weighs 45 kg.

4 0

3 years ago

What is the oblique asymptote of the function f(x) x^2+x-2/x+1

Mamont248 [21]

$f(x)=\displaystyle\frac{x^2+x-2}{x+1}=\frac{x(x+1)-2}{x+1}=x-\frac{2}{x+1}
$

$\displaystyle\lim_{x\to\infty}\left\{f(x)-x \right\}=\lim_{x\to\infty}\frac{2}{x+1}=\lim_{x\to\infty}\frac{\displaystyle\frac{2}{x}}{1+\displaystyle\frac{1}{x}}
=0$

Consequently, t<span>he limit of $f(x)$ as x approaches infinity is $x$ .

In other words, $f(x)$ approaches the line y=x,
</span><span>
so oblique asymptote is y=x.

I'm Japanese, if you find some mistakes in my English, please let me know.</span>

3 0

3 years ago

Solve -2/3 n< 16 What is the following must be true about the causes and the results Grove select the

pantera1 [17]

Answer:

-24

Step-by-step explanation:

you divide -2/3 by each side and that will give you your answer

5 0

2 years ago