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2 years ago

Which comparison is correct? |5| > 7 7 < |7| |-3| > |-4| -5 < -4

Mathematics

1 answer:

Bas_tet [7]2 years ago

5 0

Answer:

-5 < - 4 is correct

Step-by-step explanation:

I5I > 7 is wrong because I5I < 7

7 < I7I is wrong . 7 = I7I

I-3I > I-4I is wrong because absolute value is always positive.

So I-3I < I-4I

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suppose that $17,000 is deposited for six years at 5% APR. Calculate the interest earned if interest is compounded quartly . Rou

Lapatulllka [165]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$17000\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &6
\end{cases}
\\\\\\
A=17000\left(1+\frac{0.05}{4}\right)^{4\cdot 6}\implies A=17000(1.0125)^{24}$

the earned interest will then be A - P, namely A - 17000.

5 0

2 years ago

Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

Whats 290 x 4000 pls help

tigry1 [53]

Answer: it’s 1160000

Step-by-step explanation: hope I helped:)

4 0

2 years ago

Read 2 more answers

Find the locus of the point (x,y) which is a distance 3 from the point (-2, 1)

Reptile [31]

Consider this option:
1. rule: Circle is the locus of the points which are on the same distance from the given point. Common view of the equation is: (x-a)²+(y-b)²=r², where r - the distance from the given point to the described locus, a&b - coordinates of the given point.
2. using item 1:
(x+2)²+(y-1)²=3² or (x+2)²+(y-1)²=9.

6 0

2 years ago

Add.<br> (4x-3) + (2x-4)

Ilya [14]

The answer would be:

6x - 7

I hope this helped you,

Have a great day

3 0

3 years ago