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Misha Larkins [42]
3 years ago
9

Given the following recurrence relation: An=(−2)An−1, with A0=(−1)

Mathematics
1 answer:
kirill [66]3 years ago
4 0
Technically you could answer this one by one, by substituting n with 1, 2, 3, 4, then 5. Like here:
A1=(-2)A1-1
=(-2)A0, then substituting A0 with -1...
=(-2)(-1)
Which would mean A1=2. Then..
A2=(-2)A2-1
A2=(-2)A1
A2=(-2)(2)
Which would mean A2=-4.
By repeating this process you'd eventually get A4..
A5=(-2)A4
if you did the steps right you'd get that A4 is -16..
A5=(-2)(-16).
Then simplify to get your answer.
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1 point
Ahat [919]

James's current balance on his credit card is <u>$900.</u>

This amount represents the card's balance before the current charge of $1,500 and the finance charge of $60.

<h3>What is a credit card balance?</h3>

A credit card balance is the amount of the charges made on a credit card, including the finance charges, and therefore, owed to a credit card company.

<h3>Data and Calculations:</h3>

Current current balance = $x

APR (Annual Percentage Rate) of interest = 30%

Monthly APR = 2.5% (30%/12)

Current purchase for the month = $1,500

Finance charge for the month = $60

Finance charge for the current purchase = $37.50 ($1,500 x 2.5%)

Finance charge for the current balance = $22.50 ($60 - $37.50)

The current balance that attracts the finance charge of $22.50 will be $900 ($22.50/2.5%).

<u>Alternatively:</u>

Since the monthly APR is 2.5% and the finance charge is $60 for the month, the balance at the end of the month is $2,400 ($60/2.5%).

Thus, the current balance on James' credit card is $900 ($2,400 - $1,500) while the end-of-the-month balance is $2,460 ($900 + $1,500 + $60).

Learn more about credit card balance at brainly.com/question/6872962

8 0
3 years ago
John ordered a large three topping pizza for $7. 50 and a large 8 topping pizza for $10. Write an equation in slope-intercept fo
yKpoI14uk [10]

to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm

\begin{array}{ccll} \stackrel{toppings}{x}&\stackrel{cost}{y}\\ \cline{1-2} 3 & 7.50\\ 8& 10 \end{array} \qquad\implies \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{7.50})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{7.50}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}}\implies \cfrac{2.5}{5}\implies \cfrac{~~ \frac{25}{10}~~}{5}\implies \cfrac{25}{50}\implies \cfrac{1}{2}

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7.50}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{3})\implies y-\cfrac{750}{100}=\cfrac{1}{2}(x-3) \\\\\\ y-\cfrac{15}{2}=\cfrac{1}{2}x-\cfrac{3}{2}\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{15}{2}\implies y=\cfrac{1}{2}x-6

3 0
2 years ago
-7×-3×=-8×-8<br><img src="https://tex.z-dn.net/?f=%20" id="TexFormula1" title=" " alt=" " align="absmiddle" class="latex-formula
Makovka662 [10]

Answer:

<h2>x = 4</h2>

Step-by-step explanation:

-7x-3x=-8x-8\\\\-10x=-8x-8\qquad\text{add}\ 8x\ \text{to both sides}\\\\-10x+8x=-8x+8x-8\\\\-2x=-8\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{-8}{-2}\\\\x=4

3 0
3 years ago
If angle ABC is Bisected by ray BD, and the measurement of angle ABD=10x+2, m o 42<br> o 98<br> o 84<br> o 38
VLD [36.1K]
I’m pretty sure that the answer is 98
3 0
3 years ago
The variable z is directly proportional to x , and inversely proportional to y . When x is 5 and y is 16, z has the value 2.1875
aksik [14]
Z=24/25
You have to look for the coefficient so you have to work backwards to find it. Then you plug in the numbers to solve for it.

3 0
3 years ago
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