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kvasek [131]
3 years ago
14

Marty made a $220 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in

the deposit?
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0

Answer:

Step-by-step explanation: Let x = number of $5 bills

Let y = number of $10 bills

Use these variables to set up equations to represent total deposit and number of bills.

x + y = 38 eq1 ----> total number of bills

5x + 10y = 220 eq2 -----> total deposit

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An author published a book which was being sold online. The first month the author sold 21000 books, but the sales were declinin
Wittaler [7]

Answer:  119,616

You may have to erase the comma when inputting the answer.

=======================================================

Explanation:

The author sells 21,000 books in the first month.

Then they sell 21,000*(1-0.12) = 21,000*(0.88) = 18,480 in the second month.

Then they sell 18,480*(1-0.12) = 18,480*(0.88) = 16,262.4 = 16,262 in the third month.

And so on. These values follow a geometric sequence with first term a = 21,000 and common ratio r = 0.88

We can think of the 0.88 as 88% of the original value (since losing 12%, we keep the remaining 88%)

-------------

Use the formula below to sum the first 9 terms of the geometric sequence

Plug in a = 21000 and r = 0.88

S_n = a*\frac{1-r^n}{1-r}\\\\S_9 = 21000*\frac{1-0.88^9}{1-0.88}\\\\S_9 \approx 21000*\frac{0.6835216}{0.12}\\\\S_9 \approx 21000*5.6960133\\\\S_9 \approx 119,616.2793\\\\S_9 \approx 119,616\\\\

The author sold about 119,616 books over the course of the first nine months.

4 0
2 years ago
A recipe for a dessert for 6 people requires 120g of sugar. How much sugar would I need for a dessert 9 people?
zzz [600]

Answer:

180g of sugar

Step-by-step explanation:

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33°<br> (3m + 3)<br> ent OR Vertical_<br> Angle Relationship: Complementary OR Supplementary
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Step-by-step explanation:

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Let W be the subspace of R5 spanned by the vectors w1, w2, w3, w4, w5, where
Gwar [14]
To find W⊥, you can use the Gram-Schmidt process using the usual inner-product and the given 5 independent set of vectors. 

<span>Define projection of v on u as </span>
<span>p(u,v)=u*(u.v)/(u.u) </span>
<span>we need to proceed and determine u1...u5 as: </span>
<span>u1=w1 </span>
<span>u2=w2-p(u1,w2) </span>
<span>u3=w3-p(u1,w3)-p(u2,w3) </span>
<span>u4=w4-p(u1,w4)-p(u2,w4)-p(u3,w4) </span>
<span>u5=w5-p(u4,w5)-p(u2,w5)-p(u3,w5)-p(u4,w5) </span>

<span>so that u1...u5 will be the new basis of an orthogonal set of inner space. </span>

<span>However, the given set of vectors is not independent, since </span>
<span>w1+w2=w3, </span>
<span>therefore an orthogonal basis cannot be found. </span>
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3 years ago
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