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3 years ago

Roberto deposited $5,000 into an account with 4.2% interest, compounded monthly.

Mathematics

1 answer:

Marina86 [1]3 years ago

8 0

Answer:

$50,581.9

Step-by-step explanation:

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Find a.b. a=3i+2j-k, b=4i+5k

Tomtit [17]

Answer: $a\cdot b= 7$

Step-by-step explanation:

We are given

$a=3\hat{i}+2\hat{j}-\hat{k}$

$b=4\hat{i}+5\hat{k}$

They can be written as

$a=3\hat{i}+2\hat{j}+(-1)\hat{k}$

$b=4\hat{i}+0.\hat{j}+5\hat{k}$

Now , the dot product of and b is given by :-

$\Rightarrow\ a\cdot b= (3\hat{i}+2\hat{j}+(-1)\hat{k})\cdot(4\hat{i}+0.\hat{j}+5\hat{k})$

$\Rightarrow\ a\cdot b=3\cdot 4 \cdot\hat{i}\cdot\hat{i}+2\cdot0\cdot\hat{j} \cdot\hat{j}+ (-1)\cdot 5 \cdot \hat{k}\cdot \hat{k}$

$\Rightarrow\ a\cdot b=12 \cdot\hat{i}^2+0-5 \cdot \hat{k}^2$

$\Rightarrow\ a\cdot b=12 \cdot(1)+0-5 \cdot (1)$ [Since $\hat{i}^2=\hat{k}^2=1$ ]

$\Rightarrow\ a\cdot b=12 -5=7$

Therefore , the value of the dot product $a\cdot b= 7$

5 0

3 years ago

State whether the data described below are discrete or continuous, and explain why. The amounts of time that different surgical

zepelin [54]

Using variable concepts, it is found that the amounts of time that different surgical procedures take at hospital is continuous.

<h3>What are continuous and discrete variables?</h3>

Continuous variables: Can assume decimal values.

Discrete variables: Assume only countable values, such as 0, 1, 2, 3, ...

In this problem, the amounts of time that different surgical procedures take at hospital can be decimal, for example 10.5 minutes, hence it is a continuous variable.

You can learn more about continuous and discrete variables at brainly.com/question/16978770

5 0

3 years ago

How do you write 11/20 as a percentage

rewona [7]

Answer:

55%

Step-by-step explanation:

11/20 =

11 ÷ 20 =

0.55 =

0.55 × 100/100 =

0.55 × 100% =

8 0

3 years ago

Read 2 more answers

How many numbers are there from x through 7x-8

kondaur [170]

6x-7 is your answer

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3 years ago

What are the solutions of this quadratic?<br><br> Y=X^2 -2X

sergejj [24]

Answer:

this is my answer but it's on you if you think this answer is correct or wrong

3 0

3 years ago