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Julli [10]
2 years ago
8

Sarah had a balance of $162 in her bank account at the start of the week. She withdrew $63.50 on Monday, $23.25 on Wednesday, an

d $26.45 on Thursday. On Friday, she deposited $87.30.At the end of the week, Sarah had ___(less or more) money in her savings account than she had at the beginning of the week.
How much more or less? $_______
Mathematics
1 answer:
lozanna [386]2 years ago
8 0

Answer:

Less; $25.90 less than at the beginning of the week

Step-by-step explanation:

162-(63.50+23.25+26.45)=162-113.20=48.80

48.80+87.30=136.10; 162>136.10

162-136.10=Δ$25.90

$25.90 less

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I don’t know how to show how I got it but the answer is X=12.
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2 years ago
0.1800833333 round to nearest whole dollar
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Read 2 more answers
Find the values of λ for which the determinant is zero.
elena55 [62]

Answer:

Determinant are special number that can only be defined for square matrices.

Step-by-step explanation:

Determinant are particularly important for analysis. The inverse of a matrix exist, if the determinant is not equal to zero.

How to find determinant

For a 2×2 matrix

det ( \left[\begin{array}{cc}x&y\\a&z\end{array}\right] ) = xz-ay

For a 3×3 matrix

we first decompose it to 2×2

det (\left[\begin{array}{ccc}k&l&m\\o&p&q\\r&s&t\end{array}\right] )\\\\= k*det(\left[\begin{array}{cc}p&q\\s&t\end{array}\right] ) - l*det(\left[\begin{array}{cc}o&q\\r&t\end{array}\right] ) + m*det(\left[\begin{array}{cc}o&p\\r&s\end{array}\right] ) \\\\=k(pt-sq) - l(ot-rq) + m(os-rp)

Example

Find the values of λ for which the determinant is zero

\left[\begin{array}{ccc}s&-1&0\\-1&s&-1\\0&-1&1\end{array}\right]

det(\left[\begin{array}{ccc}s&-1&0\\-1&s&-1\\0&-1&1\end{array}\right])\\\\= s*det(\left[\begin{array}{cc}s&-1\\-1&1\end{array}\right] ) - (-1)*det(\left[\begin{array}{cc}-1&-1\\0&1\end{array}\right] ) + 0*det(\left[\begin{array}{cc}-1&s\\0&-1\end{array}\right] )\\\\= s(s(1)-(-1*-1)) - (-1)(-1*1 - (-1*0)) + 0\\= s(s - 1)) + 1(-1 + 0) \\=s^{2} -s-1

Equating the determinant to zero

s^{2} -s-1 =0\\

s = \frac{1}{2} * (1 ±5 )

s = 1.61 or -0.61

5 0
3 years ago
What is the slope of thw line passing through the points (1, 2) and (5, 4)<br>-2<br>1<br>2<br>1/2​
Ymorist [56]
The slope is (y2 - y1) / (x2 - X1) and you will use this formula A TON in math!!!
So,
(4 - 2) / (5 - 1) = 2/4 = 1/2
7 0
2 years ago
Solve each two-step inequality and graph the solution set on a number line -17 &lt; 3-5x
lawyer [7]

Answer:

x < 4

Step-by-step explanation:

Given the following question:

-17 < 3-5x

In order to find the answer, we will solve the inequality as if it is a regular two-step equation and then we will plot the answer on the number line.

-17 < 3-5x
-17 < 3-5x=3-5x > -17
3-5x > -17
3-3=0
-17--3=-20
5x=-20
\frac{5x}{5}=x
20\div5=-4
x < 4

<u>When plotting inequalities on the number line keep a few things in mind:
</u>
. 4 is greater than x, so the line will go towards the opposite direction of four
. < is a greater sign, it's not a greater or equal to sign (≤) which means it will be an open dot.

Hope this helps.

3 0
2 years ago
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