the science department buys the equipment shown in the table they bought all three items this year and how many years do they have to buy all three items again

Answer:

83

Step-by-step explanation:

To find how long it will take for $4,227.29 to grow to $9,000 with a 4.9% interest rate compounded monthly, we use the compound interest formula rearranged to solve for time. The calculation involves using the natural logarithm to find the number of years required for the investment to reach the target amount.

The question pertains to determining how long it will take for a sum of money, specifically $4,227.29 deposited into a savings account with a 4.9% interest rate compounded monthly, to grow to be worth $9,000. We can use the formula for compound interest to solve for the time period required for the investment to reach the desired amount. This formula is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial sum of money), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.

To find the time (t), we rearrange the formula: t = [log(A/P)] / [n*log(1 + r/n)]

The calculation will provide the time in years, which can be multiplied by 12 to convert it to months, in case the answer is needed in months.

The requried, at the beginning of May (the fifth month), the niece will have $162 in her account.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In the first month, the niece has $1 in her account.

In the second month, she triples that amount to have $3, and Mr. Howard doubles it to $6.

In the third month, she triples $3 to have $9, and Mr. Howard doubles it to $18.

In the fourth month, she triples $9 to have $27, and Mr. Howard doubles it to $54.

So at the beginning of May (the fifth month), the niece will have 54×3 = $162 in her account.

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Answer:

$1797914.419

Step-by-step explanation:

Given : Revenue in 2000 for a bakery chain totaled $10 billion from 5,562 shops nationwide

To Find:What was the average revenue in 2000 per shop?

Solution:

Revenue in 2000 for a bakery chain totaled $10 billion from 5,562 shops

So, the average revenue in 2000 per shop =[tex]\frac{10000000000}{5562}[/tex]

                                                                         =[tex]1797914.419[/tex]

Hence the average revenue in 2000 per shop was $1797914.419

Answer:

Hayden

Step-by-step explanation:

Financial responsibility involves cutting your spending back to less than your income, paying your bills on time and trying to minimize credit usage.

Hallie has multiple loans at the same time; this is not financially responsible.

Hayden has more income than the amount of debt; this is financially responsible.

Alison made payments less than the minimum amount due; this is not financially responsible.

Joel made late payments several times; this is not financially responsible.

Hayden is financial responsible.

Financial responsibility involves cutting your spending back to less than your income, paying your bills on time and trying to minimize credit usage.

As, Hallie has multiple loans at the same time which is not financially responsible.

Hayden has more income than the amount of deb which is financially responsible.

Alison made payments less than the minimum amount due which is not financially responsible.

Joel made late payments several time which is not financially responsible.

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The Scientific notation of numbers is,

⇒ 3.7 × 10⁻⁴

We have to give that,

A standard form of number is,

⇒ 0.00037

Since Scientific notation is a way of writing very large or very small numbers.

For example; 230,000,000 can be written in scientific notation as

2.3 x 10⁸.

Hence, the Scientific notation of numbers is,

⇒ 0.00037

⇒ 3.7 × 10⁻⁴

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Answer: The point slope form of the equation for this line is given by

[tex]y-8=-(x+3)[/tex]

Step-by-step explanation:

Since we have given that

The slope intercept form of the equation of a line is given by

[tex]y=-x+6-------------------(1)[/tex]

Line passing through a point is given by

(-3,8)

So, from the equation (1), we get that

m = Slope of line = -1

So, Point slope form of the equation of the line is given by

[tex]y-y_0=m(x-x_0)\\\\(y-8)=-1(x+3)\\\\y-8=-(x+3)[/tex]

Hence, the point slope form of the equation for this line is given by

[tex]y-8=-(x+3)[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{12 \dfrac{2}{3} \times 3 \dfrac{1}{4}}[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\mathsf{12 \dfrac{2}{3} \times 3 \dfrac{1}{4}}[/tex]

[tex]\mathsf{= \dfrac{12\times3 + 2}{3}\times\dfrac{3\times4+1}{4}}[/tex]

[tex]\mathsf{= \dfrac{36 + 2}{3}\times\dfrac{12 + 1}{4}}[/tex]

[tex]\mathsf{= \dfrac{38}{3}\times \dfrac{13}{4}}[/tex]

[tex]\mathsf{= \dfrac{38\times13}{3\times4}}[/tex]

[tex]\mathsf{= \dfrac{494}{12}}[/tex]

[tex]\mathsf{= \dfrac{494\div2}{12\div2}}[/tex]

[tex]\mathsf{= \dfrac{247}{6}}[/tex]

[tex]\mathsf{\approx 41 \dfrac{1}{6}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{41 \dfrac{1}{6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Convert \ 12\frac{2}{3} \ to \ an \ improper \ fraction. Use \ this \ rule: a \frac{b}{c}=\frac{ac+b}{c}. \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{12\times3+2}{3}\times3\frac{1}{4} \ \to \ \ Multiply \ 12\times 3 }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{36+2}{3}\times3\frac{1}{4} \ \to \ \ Add \ 36+2 }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times3\frac{1}{4} }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Convert \ 3\frac{1}{4} \ to \ an \ improper \ fraction. Use \ this \ rule: a \frac{b}{c}=\frac{ac+b}{c}. \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{3\times4+1}{4} \ \ \to \ \ Multiply \ 3\times 4}} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{12+1}{4} \ \ \to \ \ Add \ 12+1}} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{13}{4}}} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule:\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}. \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38\times13}{3\times4} \ \ \to \ \ Multiply }} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Simplify \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{492}{12}=\frac{247}{6}= }} \end{gathered}$}\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{41\frac{1}{6} }} \end{gathered}$}}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Therefore,the \ \bf{\underline{correct \ option}} \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"D"}.} \end{gathered}$}[/tex]

Answer:

To find the quotient of 2 fractions, you have to change the division sign too a multiplication sign, and flip the second fraction, and multiply.

An example (the answer to the first question)

1/2 ÷ 1/4 = 1/2 * 4/1 = 2

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The pressure of 1036.0 mb converts to 30.59 inches of mercury (in. Hg) using the conversion factor that 1 inch of Hg is approximately 33.8639 mb.

A pressure of 1036.0 mb (millibars) when converted to inches of mercury (in. Hg) is equivalent to 30.59 inches. This conversion is relevant in fields like meteorology and aviation where pressure readings are essential. To convert millibars to inches of mercury, one must use the conversion factor that 1 inch of Hg is approximately equal to 33.8639 mb. Therefore, the calculation would look like this:

This means the correct answer is B. 30.59 in.

The expression which shows 12 more than the quotient of 63 and 9 is option A) 12 + (63 ÷ 9).

We have to find the expression which shows 12 more than the quotient of 63 and 9.

For that, first find the quotient of 63 and 9.

Divide 63 by 9.

63/9 = 7

12 more than the quotient of 63 and 9 = 7 + 12 = 19

So the result is 19.

Now, we have to mathematically write the given word sentence.

12 is added to the quotient of 63 and 9.

12 is added to (63 ÷ 9)

12 + (63 ÷ 9)

Thus, A is the correct option.

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