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3 years ago

6

A local food mart donates 20% of it's friday's sales to charity.

1 answer:

Digiron [165]3 years ago

5 0

Answer:

$64

Step-by-step explanation:

We have been given that a local food mart donates 20% of it's Friday's sales to charity. This Friday the food mart had sales totaling 320.00 dollars.

To find the the amount donated to the charity, we will find 20% of $320.

$\text{The amount donated to the charity}=\$320\times\frac{20}{100}$

$\text{The amount donated to the charity}=\$320\times0.20$

$\text{The amount donated to the charity}=\$64$

Therefore, $64 were donated to the charity.

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Find the vectors T, N, and B at the given point. r(t) = < t^2, 2/3t^3, t >, (1, 2/3 ,1)

maxonik [38]

Answer with Step-by-step explanation:

We are given that

$r(t)=< t^2,\frac{2}{3}t^3,t >$

We have to find T,N and B at the given point t > (1, $2/3$ ,1)

$r'(t)=$

$\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1$

$T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}$

Now, substitute t=1

$T(1)=\frac{}{2+1}=\frac{1}{3}$

$T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}$

$T'(1)=-\frac{4}{9}+\frac{1}{3}$

$T'(1)=\frac{1}{9}=$

$\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}$

$N(1)=\frac{T'(1)}{\mid T'(1)\mid}$

$N(1)=\frac{}{\frac{2}{3}}=$

$N(1)=$

$B(1)=T(1)\times N(1)$

$B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}$

$B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})$

$B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k$

$B(1)=\frac{1}{3}$

5 0

2 years ago

A baker charges $30 for each batch of cupcakes she makes. She adds $0.09 for each frosting flower. Write an expression to repres

Lisa [10]

Answer:

$30+0.09x$

Here, $x$ denotes number of frosting flowers

Step-by-step explanation:

Let $x$ denotes number of frosting flowers.

Amount charged by baker for each batch of cupcakes = $30

Amount charged for each frosting flower = $0.09

So,

Amount charged for $x$ frosting flowers = $\$0.09x$

Therefore,

Total cost of a batch of cupcakes with frosting flowers = $30+0.09x$

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2 years ago

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Answer:

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Step-by-step explanation:

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ludmilkaskok [199]

The volume is 336 cubic feet

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144+192=336

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2 years ago

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