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maw [93]
3 years ago
10

Find a*b. a=<5,2> , b=<4,5>

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0
Find the dot product of the vectors

a = <ax, ay> and b = <bx, by>

The dot product is found by multiplying corresponding coordinates, and then sum all those products:

a * b = ax * ay + bx * by

________

For this question, you have these vectors

a = <5, 2> and b = <4, 5>

so the dot product is

a * b = 5 * 4 + 2 * 5

a * b = 20 + 10

a * b = 30 <----- this is the answer.


I hope this helps. =)
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What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: A = P(1 + \frac rn)^{nt}</h3>
  • A = Account Balance
  • P = Principle/Initial Amount
  • r = Rate of Interest (decimal)
  • n = Number of times compounded (per year)
  • t = Number of Years

<h3>Given Information</h3>
  • Account Balance = ?
  • Principle Amount = $1000
  • Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

  • Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

  • Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

  • A = P(1 + \frac rn)^{nt}
  • A = 1000(1 + \frac {0.02}{6})^{6*15}
  • A = 1000(1 + 0.00333...)^{90}
  • A = 1000(1.00333...)^{90}
  • A = 1000(1.145743)
  • A \approx 1457.43

This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

3 0
2 years ago
Andrew wants to know how many 3/16 pound servings in a bag containing 7/8 pound of granola
Aleksandr-060686 [28]
Do 7/8 divided by 3/16.
Multiply by the reciprocal of 3/16 which is 16/3
7/8 x 16/3= 112/24
Simplify by dividing by 8 on top and bottom
14/3
Change it into a mixed number
Answer is 4 2/3
3 0
3 years ago
What is the value of x in the equation 4x – 2(x + 3) = 8? Show ALL steps in the space below:
Rzqust [24]

Answer:x=1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
NEED HELP ASAP!!! What is the interquartile range of the data set? Enter the answer in the box. Key: 1|5 means 15 A stem-and-lea
monitta
To find the interquartile range, you will list the data that is presented in the stem and leaf plot.

Find the median of the data (30.5)

Find the median of the lower half and the median of the upper half.

Subtract these two values.

The data are <u>20</u>, 25, 30, 30, 31, 40, 41, <u>49</u>.
                            27.5                40.5
40.5-27.5 = 13

The interquartile range is 13.
3 0
4 years ago
Read 2 more answers
1.8.2
VLD [36.1K]

Answer:

5,

4.66

4

-0.97

-3/2

-20

3 0
3 years ago
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