At the beginning of January, Mr. Howard gives his niece $1 to start a savings account, for each month that she can triple the amount in the account, Mr. Howard will double the amount in the account at the end of each month. How much does Mr. Howard's niece in her account at the beginning of May?
The requried, at the beginning of May (the fifth month), the niece will have $162 in her account.
What is simplification?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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Evaluate.
3^−1⋅(4⋅6)⋅2^−3
plz be sure to explain
is 0.329 rational or irrational
The length of 2 sides on an isosceles triangle is 15. What is the range of possible lengths for the other leg? Explain.
How to determine a quotient in simplest form
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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What's .0575 rounded to nearest tenth
What is 0.00037 written in scientific notation
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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Multiply and simplify. A) 36 1/12 B) 36 1/6 C) 41 1/12 or D) 41 1/6
[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]
Tom rented a truck for one day. There was a base fee of $16.99 , and there was an additional charge of 90 cents for each mile driven. Tom had to pay $190.69 when he returned the truck. For how many miles did he drive the truck?
what is the answer to -12x+13x
Cinema tickets for 1 adult and 3 children cost €27. The cost for 2 adults and 5 children is €48. Find the cost of one adult ticket and the cost of one child ticket.
The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form of the equation for this line?
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]
Which two decimals are equivalent to 0.6?
a. 6 and 60
b. 0.06 and 0.060
c. 0.006 and 0.0060
d. none of the above
a pressure of 1036.0 mb when converted to invest would equal A. 30.50 in
B. 30.59 in
C. 30.60 in
D. 30.55 in
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:
Start with the given pressure: 1036.0 mb.Use the conversion factor 1 in. Hg = 33.8639 mb.Divide 1036.0 mb by 33.8639 mb/in. Hg to get the pressure in inches of mercury.1036.0 mb / 33.8639 mb/in. Hg = 30.59 in. Hg.This means the correct answer is B. 30.59 in.
Solve the quadratic by quadratic formula below
x squared-14x=-49
if you pay 5% sale tax on three items have you paid a total of 15% sales tax? why or why not
Circle A contains all positive odd numbers; circle B contains all factors of 33, and circle C contains all prime numbers. How many numbers belong to all three circles?
math question down below
Revenue in 2000 for a bakery chain totaled $10 billion from 5,562 shops nationwide. During the next 10 years, the bakery had to close down a few shops, and the total revenue in 2010 from 5,152 shops was $6.7 billion. What was the average revenue in 2000 per shop?
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
I need help with slope
What is the answer to 5x6+6x3+4x9
Which expression is equivalent to 3.7−6.4 ?
6.4 + 3.7
6.4−3.7
−6.4+3.7
−6.4−3.7
−6.4+3.7 is equivalent to 3.7−6.4
Further explanationDecimal numbers are numbers in which there are commas or decimal points.
The value of each number in decimal numbers is based on a comparison of the number 10
In a decimal system, the numbers have the following consecutive values (the place value of the digits in a number): hundred thousands, ten thousands, one thousands, hundreds, tens, ones, decimal points, tenths, hundredths, thousandths, ten thousandths , hundred thousandths
Between ones and tenth values separated by commas (decimal points)
Decimal numbers can also be expressed as proper or mixed fractions
The position of each digit in decimal numbers is important.
Because the decimal number is based on the number 10, As we move left, each position is 10 times bigger, and As we move right, each position is 10 times smaller
On the left of the decimal point is a whole number
"Equivalent to" mean having the same value.
In the decimal addition operation, we must pay attention to the place value
Addition between decimal numbers must be the same place value, for example between hundreds with hundreds, ten with ten and so on
Or if we use a vertical addition system, one under the other, pay attention to the decimal point, must be straight from top to bottom
In this addition operation we check the results of the addition of each decimal number operation
Question :3.7−6.4 = - 2.7
Answer choices :a. 6.4 + 3.7 = 10.1
b. 6.4 - 3.7 = 2.7
c. -6.4 + 3.7 = -2.7
d. - 6.4 - 3.7 = -10.1
Answer choices that have the same result is option C
Or simply this is the commutative form of addition operations
a + b = b + a (a = -6.4, b=3.7)
-6.4+3.7 = 3.7 +(-6.4)
-6.4+3.7 = 3.7 - 6.4
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the place value: 12,354,897
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Round 141,999 to the nearest tenth, hundredth, ten, and hundred.
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Keywords: decimal, decimal point, addition, equivalent to
The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.
Further explanation:
Given:
The options are as follows,
A. [tex]- 17 + 2x[/tex]
B. [tex]- 2x + 17[/tex]
C. [tex]- 2x -17[/tex]
D. [tex]17 + 2x[/tex]
Explanation:
The associative property is defined as a grouping of multiplication, addition, subtraction and division.
[tex]\boxed{a + \left( {b + c} \right) = \left( {a + b} \right) + c}[/tex]
In commutative property we interchange the numbers or digits.
This property can be used for multiplication and addition. It cannot be used in division and subtraction.
Commutative property for addition is [tex]\boxed{x + y = y + x}[/tex]
The expression is [tex]3.7 - 6.4.[/tex]
[tex]A = 3.7 - 6.4[/tex]
By commutative property of addition the expression can also be expressed as follows,
[tex]\begin{aligned}A&= 3.7 - 6.4\\&= - 6.4 + 3.7\\\end{aligned}[/tex]
The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Number system
Keywords: expression, equivalent, division, equation, multiplication, exponents, parenthesis.
A pentagon with each side measuring 6 inches, a hexagon has 5 inches, which shape has a greater perimeter and explain why?
What is the answer to -24+2(y-9)
What could be an expression/equation for this problem? Please help :(
rx+9/5=h solve for x
What's the answer for 3/4 (x+3)=9
what is 14 divied by 1162
Answer:
83
Step-by-step explanation:
John threw a party for his friends. food, drinks, and a DJ cost $480 for a group of 32 people. Write and solve an equation to find the cost per person
The chart describes four situations involving financial responsibility. Financial Responsibility Person Financial Decisions Hallie Has multiple loans at the same time Hayden Has more income than the amount of debt Alison Made payments less than the minimum amount due Joel Made late payments several times before the bill was paid Which person is financially responsible?
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.
What is Financial responsibility?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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