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3 years ago

Lisa treated her sisters to lunch their lunch cost $75 and the sales tax was 8% if Lisa left

Mathematics

1 answer:

Molodets [167]3 years ago

5 0

Answer:

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Step-by-step explanation:

kfkfkffikf

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(15-16) Consider the Infinite Geometric Series:

vodka [1.7K]

15 Answer: S₁ = 1 S₂ = 4 S₃ = 13 S₄ = 40 Sum = NO

Step-by-step explanation:

1 + 3 + 9 + 27 + ... $\implies\sum^{\infty}_{n=1}3^{n-1}\implies\sum^{\infty}_{n=1}\dfrac{3^n}{3}\\\\\bullet S_1=1\\\bullet S_2=1+3=4\\\bullet S_3=1+3+9=13\\\bullet S=1+3+9+27=40\\\\\\ \lim_{n \to \infty} \dfrac{3^n}{3} \implies\dfrac{3^{\infty}}{3}\implies\infty\\\\\text{The series diverges so there is no sum.}$

16 Answer: $\bold{S_1=\dfrac{1}{2}\qquad S_2=\dfrac{2}{3}\qquad S_3=\dfrac{13}{18}\qquad S_4=\dfrac{39}{54}\qquad Sum=YES}$

Step-by-step explanation:

$\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}+\dfrac{1}{162}+...\implies \sum^{\infty}_{n=1}\dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\\\\\\\bullet S_1=\dfrac{1}{2}\\\\\bullet S_2=\dfrac{1}{2}+\dfrac{1}{6}=\dfrac{2}{3}\\\\\bullet S_3=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}=\dfrac{13}{18}\\\\\bullet S_4=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}=\dfrac{39}{54}$

$\lim_{n \to \infty} \dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\implies \dfrac{1}{2}\lim_{n \to \infty} \dfrac{1}{3^{\infty-1}}\implies \dfrac{1}{\infty}=0\\\\\\\text{The series converges so it does have a sum.}$

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3 years ago

Sully and genesis purchase two matinee movie tickets. A matinee ticket costs $6.50, a drink costs $5.50, and a bag of popcorn co

lora16 [44]

Let the number of matinee tickets they bought be t, the number of drinks bought be d and the number of popcorn bags bought be p, then the amount the spend on the number of drinks and bags of popcorn they bought is given by $5.5d+6p+2(6.5)=5.5d+6p+13$ .

The coefficients in the expression are 5.5 and 6 while the constant is 13 and the variables are d and p.

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3 years ago

There was a sample of 650 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 7.8% eac

Nimfa-mama [501]

Answer:

y = 650·0.922^t

Step-by-step explanation:

At the end of each year, 92.2% of the amount at the beginning of the year remains. That is, the beginning amount is multiplied by 0.922. The exponent t in 0.922^t tells how many times (years) that multiplication has taken place. At the end of t years, the amount remaining in milligrams (y) is ...

y = 650·0.922^t

5 0

3 years ago

Pleaaaaseeeeeee help!!!!!!!!!!!!!!!!!!!!! brainliest and 20 points

beks73 [17]

Answer:

x=0

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Can someone please help? I'm so lost...

tensa zangetsu [6.8K]

Angl G = angle I because of alternate interior angle theorem
the triangle JHG is congruent to the triangel JFI because the corresponding angles F and J equal with J and H in the other triangle and the sides between them are equal FJ and HJ
therefor GJ = IJ because of the congruence

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3 years ago