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2 years ago

9

Sally wants to buy a cell phone. The price of the cell phone she had wanted had increased from $200 last week to $240 this week.

What is the percent increase in the price of the cell phone?

1 answer:

notsponge [240]2 years ago

4 0

20%

200 divided by 5 equals 40

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Michael went to dinner with his friend. Their total was $25.70. If they left a 20% tip, what was their total

lana66690 [7]

Answer: <em>$20.56</em>

Step-by-step explanation:

<em>Let's take our given total and use this equation</em>

<em>25.70(n)</em>

<em>n will equal 0.80 in this case, as they left a 20% tip so we need to find out what 80% of 25.70 is first</em>

<em /> $25.70(0.80)$ <em />

<em>$20.56 is the total without the tip!</em>

4 0

3 years ago

Alfie sells flooring for playgrounds.

dexar [7]

area of playground= 9×15= 135m^2

area of lawn= 3×4=12m^2

total flooring area= 135-12= 123m^2

cost=36×123=$4428

6 0

3 years ago

How many turning points can a polynomial with a degree of 7 have?

Gre4nikov [31]

The best answer to this question is A because the graph of a polynomial can have up to 1 less turning point than its highest degree. For example, a 10th degree polynomial can have 9 or less turning points.

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3 years ago

State whether each sequence is arithmetic and justify your answer. If the sequence is arithmetic, write a recursive and an expli

nasty-shy [4]

Answer:

Part A

$f(n)=52-12(n-1)$

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$ Geometric Sequence

Part C

1/4,3/4,5/4,7/4,9/4

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)\\f(n)=\left\{\begin{matrix}1/4if \: \:n=1 & \\ f(n+1)+2/4& if\: n\geq 2 \end{matrix}\right$

Part D:

$h(n)=1.1+0.4(n-1)\\h(n)=\left\{\begin{matrix}1.1 & if\:n=1 \\ h(n+1)+0.4 & if\:n\geq 2\end{matrix}\right$

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

$(52,40, 28, 16)\\52-40=12\\40-28=12\\28-16=12\\d=12$

<u>Explicit Formula</u>

To write an explicit formula is to write it as function.

$f(n)=52-12(n-1)$

<u>Recursive Formula</u>

To write it as recursive formula, is to write it as recurrence given to some restrictions:

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24

Part C

$(\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4})\\\$

Arithmetic Sequence, difference

$d=\frac{2}{4}$

<u>Explicit Formula:</u>

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)$

<u>Recursive Formula</u>

$g(n)=\left\{\begin{matrix}\frac{1}{4} &if\:n=1 \\ g(n+1)+\frac{2}{4} &if\: n\geq 2\end{matrix}\right.$

Part D

(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4

<u>Explicit formula</u>

$h(n)=1.1+0.4(n-1)\\$

<u>Recursive Formula</u>

$h(n)=\left\{\begin{matrix}1.1 &if\:n=1 \\ h(n+1)+0.4 &if\: n\geq 2\end{matrix}\right.$

6 0

3 years ago

Is -3.4 closer to -2 or -4? I need to round it to find the answer, but I don't know which way.

MA_775_DIABLO [31]

Answer:

-4

Step-by-step explanation:

its closer to -4

6 0

3 years ago