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lorasvet [3.4K]

3 years ago

5

Juliet deposited $9,000 into her savings account. The bank offers 2% interest. She invests her money for 6 months. How much mone

y does she have in her account in total, including the interest? Show work
(NEED EQUATION)

1 answer:

frutty [35]3 years ago

5 0

Answer:

9,000 ×(1+0.02)^6

Step-by-step explanation:

put that in yer calculator

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I can't figure out how to do (i + j) x (i x j)for vector calc

Vinil7 [7]

In three dimensions, the cross product of two vectors is defined as shown below

$\begin{gathered} \vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \\ \vec{B}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k} \\ \Rightarrow\vec{A}\times\vec{B}=\det (\begin{bmatrix}{\hat{i}} & {\hat{j}} & {\hat{k}} \\ {a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3}\end{bmatrix}) \end{gathered}$

Then, solving the determinant

$\Rightarrow\vec{A}\times\vec{B}=(a_2b_3-b_2a_3)\hat{i}+(b_1a_3+a_1b_3)\hat{j}+(a_1b_2-b_1a_2)\hat{k}$

In our case,

$\begin{gathered} (\hat{i}+\hat{j})=1\hat{i}+1\hat{j}+0\hat{k} \\ \text{and} \\ (\hat{i}\times\hat{j})=(1,0,0)\times(0,1,0)=(0)\hat{i}+(0)\hat{j}+(1-0)\hat{k}=\hat{k} \\ \Rightarrow(\hat{i}\times\hat{j})=\hat{k} \end{gathered}$

Where we used the formula for AxB to calculate ixj.

Finally,

$\begin{gathered} (\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=(1,1,0)\times(0,0,1) \\ =(1\cdot1-0\cdot0)\hat{i}+(0\cdot0-1\cdot1)\hat{j}+(1\cdot0-0\cdot1)\hat{k} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=1\hat{i}-1\hat{j} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=\hat{i}-\hat{j} \end{gathered}$

Thus, (i+j)x(ixj)=i-j

8 0

1 year ago

Jamal has a pair of shoes that have a total mass of 960 grams and four identical books that have a total mass of 2 kilograms. Wh

Andreyy89

Answer: One book has a greater mass.

Step-by-step explanation:

Jamal has a pair of shoes with a total mass of 960 grams. This means that each shoe has a mass of:

960 grams ÷ 2= 480 grams per shoe.

Jamal also has four identical books with a total mass of 2 kilograms. Note that 1000 grams make a kilograms. Therefore 2 kilograms will be (2 × 1000 grams) = 2000 grams.

Each book will have a mass of:

2000 ÷ 4 = 500 grams per book.

One shoe has a mass of 960 divided 2 = 480 grams . One book has a mass of 2000 divided 4 = 500 grams . So one book has a greater mass.

8 0

3 years ago

Which fraction has the same value as 2 3<br> 8

Alik [6]

Answer:

The Answer : 19/8 Not sure if I'm correct

7 0

3 years ago

Which expression is equivalent to 3y+4+y

Colt1911 [192]

The answer to this question is 4y+4

8 0

3 years ago

Round 3,942,588 to the nearest thousand.

olchik [2.2K]

Hey there! :D

3,942,588

The thousandths is where the 2 is.

If the number behind the 2 is 5 or greater, we round up to 3.

It is, so round up:

3,943,000 <== rounded number

I hope this helps!
~kaikers

5 0

3 years ago

Read 2 more answers