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Ludmilka [50]
3 years ago
6

Complete this activity. Interest at the rates of 5%, 6%, and 8% is earned on investments of $13,000, $12,000, and $4,000 respect

ively. Calculate the total amount of interest earned as the product of a one-by-three matrix and a three-by-one matrix.
Mathematics
1 answer:
zvonat [6]3 years ago
7 0

The answer is 1690. First find the amount of interest by a single investment by multiplying the investment amount by the percent interest in decimal form. Then calculate the total by adding up all the products of investment times interest. Matrices will allow to multiply two things together and add the products up all at the same time. So we need to find the investment matrix and interest matrix.

Investment matrix A (transposed)            = (a1 a2 a3) = (13,000 12,000 4,000)

Interest Matrix B                                       = (b1 b2 b3) = (0.05 0.06 0.08)

Amount of interest earned                        = a1b1 + a2b2 + a3b3

Amount of interest earned                        = (0.05) (13,000) + (0.06) (12,000) +                                                                                  (0.08)(4,000)

Amount of interest earned                        = 1690

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kkurt [141]

Answer:

A

Step-by-step explanation:

-1/2+c=31/4

-1/2+c+1/2=31/4+1/2

c=33/4

4 0
3 years ago
Drew works at a laundromat. Every day for two weeks, he records the total number of loads of laundry washed at the laundromat. T
Afina-wow [57]

Answer:

B

Step-by-step explanation:

The first quartile of his data is 60.

The median of his data is 82.

The first quartile Q1 is the median of the lower half of the data set. This means that about 25% of the numbers in the data set lie below Q1 and about 75% lie above Q1.

The median Q2 is the median of  the data set. This means that about 50% of the numbers in the data set lie below Q2 and about 50% lie above Q2.

Between Q1 and Q2 lie exactly 25% of the numbers in the data set.

25% of 200 is exactly 50, so option B is true.

6 0
3 years ago
A coin is tossed four times What is the probability of getting four heads? (1 mark) a) b) What is the probability of getting exa
BlackZzzverrR [31]
<h2>Answer:</h2>

1. A coin is tossed four times. What is the probability of getting four heads?

Each toss has a 1/2 chance of getting a head.

So the chance of getting all four heads can be calculated as :

1/2\times1/2\times1/2\times1/2=1/16

2. A coin is tossed four times. What is the probability of getting two heads?

Each toss can have 2 results, so 4 flips will have 2^{4} or 16 results.

Getting two heads means getting two tails also. So, we can get the number of times two heads come = \frac{4!}{2!2!} = 6

We can write the groups like - {HHTT,HTHT,HTTH,THHT,THTH,TTHH}

So, the required probability is : 6/16 or 3/8.

3. Not getting two heads means getting 3 tails and 1 head or all tails.

Probability of having all tails = 1/2\times1/2\times1/2\times1/2=1/16

Probability of one head(1st trial) and three tails = 1/16

Probability of one head (2nd trial) and three tails (the 1st, 3rd and 4th trials) = 1/16

Probability of one head (3rd trial) and three tails (the 1st, 2nd and 4th trials) = 1/16

Probability of one head (4th trial) and three tails (the 1st, 2nd and 3rd trials) = 1/16

So, the total probability showing only one or none head and at least three tails = 1/16+1/16+1/16+1/16+1/16=5/16

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3 years ago
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Answer:

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3 years ago
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Answer:

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