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3 years ago

Find each percent of the markup. $11.5 marked up to $25. Round to the nearest percent.

1 answer:

8 0

Percent markup=amountmarkedup/original times 100

amountmarkedup=25-13.5.5=11.5
original=13.5

percent markup=11.5/13.5 times 100=0.85 times 100=85% markup

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The geometric sequence a i a i a, start subscript, i, end subscript is defined by the formula: a 1 = 8 a 1 =8a, start subscr

frozen [14]

Question:

The geometric sequence ai is defined by the formula: a₁ = 8, aᵢ = aᵢ₋₁(-1.5 ).

Find the sum of the first 20 terms in the sequence. Choose 1 answer:

Answer:

The sun of 20 terms of the progress is -10,637.621536256

Step-by-step explanation:

Given

Geometric Sequence

a₁ = 8

aᵢ = aᵢ₋₁(-1.5 )

First, the common ratio needs to be calculated.

The common ratio is the ratio of a term to its previous term.

In other words,

Ratio = 2nd term ÷ 1st term or 3rd term ÷ 2nd term, ...... Etc.

We can calculate the common ratio from aᵢ = aᵢ₋₁(-1.5 ) by dividing both sides by aᵢ₋₁. This gives

aᵢ / aᵢ₋₁ = aᵢ₋₁(-1.5 ) / aᵢ₋₁

aᵢ / aᵢ₋₁ = -1.5

So, the common ratio, r = -1.5

Now that we've had the common ratio and first term to be -1.5 and 8 respectively, the sum of 20 terms can then be calculated using the sum of n terms formula.

Sₙ = a(1 - rⁿ)/(1 - r)

We're making use of this formula because r is less than 1

Where n = 20

a = first term = 8

r = -1.5

By substituting these values; we get

S₂₀ = 8(1 - (-1.5)²⁰)/(1 - (-1.5))

S₂₀ = 8(1 - (-1.5)²⁰)/(1 + 1.5))

S₂₀ = 8(1 - (3325.25673008

))/(2.5)

S₂₀ = 8(1 - 3325.25673008

)/(2.5)

S₂₀ = 8(-3324.25673008

)/(2.5)

S₂₀ = -10,637.621536256

5 0

3 years ago

Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students r

BaLLatris [955]

<h2>Answer with explanation:</h2>

Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Given : Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

$H_0: p=0.39\\\\H_a :p\neq0.39$

Sample size : n= 1055

Sample proportion : $\hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44$

Critical value for 95% confidence : $z_{\alpha/2}=1.96$

Confidence interval : $\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

$0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)$

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95% confidence interval represents evidence that parents' attitudes toward the quality of education have changed.

8 0

3 years ago

Find the answer and explain

Lynna [10]

Answer: It would be I, the 4th one.

Step-by-step explanation:The 2 squares on the outside would fold up, that would leave the top and the 2 opposite sides left, so you would fold the other 3 squares on the bottom over the top, till it would cover all the other exposed sides.

Hopefully this makes sense!

4 0

3 years ago

Write all ratios in is There are three children in the Skosana family. Each week the eldest earns R270, the middle child earns R

geniusboy [140]

From the amounts that are given, the ratio of the earnings will be 3:2:1.

<h3>How to calculate ratio</h3>

From the information, the eldest earns R270, the middle child earns R180 and the youngest earns R90.

Therefore, the common factor to the numbers will be 90. Therefore, the ratio will be:

270/90 = 3

180/90 = 2

90/90 = 1

The ratio is 3:2:1.

Learn more about ratio on:

brainly.com/question/2328454

4 0

3 years ago

Describe a math calculation you frequently encounter in your daily life.

sammy [17]

When shopping, you use a math calculation to see if the price is on sale and how much it costs, and when adding up all the things you bought, by mostly rounding.

Hope helps!-Aparri

3 0

3 years ago

Read 2 more answers