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3 years ago

A new cell phone cost $85, and the sales tax is 9%. What is the amount of the sales tax

Mathematics

1 answer:

elixir [45]3 years ago

4 0

The sales tax is $7.67

In total, with the sales tax, the phone would be $92.65

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Sonia earned 2,100 at her uncle’s orchid .if she worked for 70 days and earned the same amount of money each day.how much money

sweet [91]

Answer:

$30 per day

Step-by-step explanation:

2,100 divided by 70 is 30

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3 years ago

You expect to receive $10,000 at graduation in two years. You plan on investing it at 11% until you have $75,000. How long will

stich3 [128]

Answer:

about 19.31 years

Step-by-step explanation:

$10000( {1.11}^{x} ) = 75000$

${1.11}^{x} = 7.5$

$x ln(1.11) = ln(7.5)$

$x = \frac{ ln(7.5) }{ ln(1.11) } = 19.31$

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2 years ago

Estimate the minimum number of subintervals to approximate the value of Integral from negative 3 to 3 (2 x squared plus 9 )dx wi

vichka [17]

Answer:

The value of n for (a) n=425. (b) n=0.

Step-by-step explanation:

Given integration is,

$\int_{-3}^{3}f(x)=\int_{-3}^{3}(2x^2+9)dx$

(a) For Trapezoidal Rule : Composite error is,

$E_T=-\frac{(b-a)^3}{12n^2}f''(x_m)$

Where, f''(x_m)=greatest value of |f''(x)|= |4|=4, a=-3, b=3. Therefore to find the minimum number of subinterval,

$|E_T|\leq | \frac{(b-a)^3}{12n^2}f''(x)|$ |

$\leq \frac{4(-3-3)^3}{12n^2}$

$=\frac{72}{n^2}$

According to the question, we must choose n such that,

$\frac{72}{n^2}$

$\implies n>424.2640686$

So we can take n=425.

(b) For Simpson 1/3 rule : Composite error is,

$E_S=-\frac{(b-a)^5}{180n^4}f^{(iv)}(x_m)$

where, $f^{(x_m)}=\textit{greatest value of} |f^{(iv)}(x)|$

In this problem $f^{(iv)}(x)=0$ , so that,

$|E_S|\leq 0$

that is there exist no error. So n=0.

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3 years ago

A birdhouse has a shadow that is 12

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The bird house is taller than all of them

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3 years ago

Read 2 more answers

There *must* be an easier way of simplifying this expression. What could I have done differently?

LiRa [457]

You can add the exponents of x^3*x^4 instead of writing it all out. Do you would just have to add 3+4 since the variable (x) is the same. And you would get x^7

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4 years ago