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Rom4ik [11]
4 years ago
7

Evaluate the determinant for the following matrix: -4 -4 -3

Mathematics
1 answer:
expeople1 [14]4 years ago
3 0

A suitable calculator finds the determinant to be ...

... B. -203

_____

This can be calculated by hand by copying the first two columns to the right of the given matrix, then forming the sum of products of the downward diagonals and subtracting the sum of products of the upward diagonals.

... (-4)(3)(-5) +(-4)(-5)(-5) +(-3)(3)(2) -(-5)(3)(-3) -(2)(-5)(-4) -(-5)(3)(-4)

... = 60 -100 -18 -45 -40 -60

... = -203

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If a person invests $500 at 2% simple interest for 4 years how much interest is earned
irinina [24]
$40
500×2% is 10×4 is 40
6 0
3 years ago
Mary wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 2%,
lukranit [14]

Answer:

a) Simple interest paid = $360

b) Total repayment amount = $6360

Step-by-step explanation:

It is given that:

Principal, P = $6000

Rate of interest, R = 2%

Time, T = 3 years

<em>(a) Total interest paid</em>:

<u>Formula</u> for Simple Interest is given as:

S.I. = \dfrac{P \times R \times T}{100}

Putting the values of P, R and T to find out Simple Interest:\\\Rightarrow S.I. = \dfrac{6000 \times 2 \times 3}{100}\\\Rightarrow S.I. = \$360

<em>(b) Total repayment amount</em>:

We know that formula for total amount is given as:

<em>Amount = Principal + Simple Interest</em>

Amount = 6000 + 360 = $6360

So, total repayment amount = $6360

So, the answers are:

a) Simple interest paid = $360

b) Total repayment amount = $6360

3 0
4 years ago
Tina is growing sunflowers in her garden. The flowers are currently 6 inches tall each week x, they will double in size . Which
Alika [10]
For this case we have an equation of the form:
 y = A (b) ^ x
 Where,
 A: initial height
 b: growth rate
 x: time
 Substituting values we have:
 y = 6 (2) ^ x
 Answer:
 
An equation that best represent how tall the sunflower will b in x weeks is:
 
y = 6 (2) ^ x
6 0
3 years ago
1. Each month, the city of Accra generates an average of 28 pounds of waste. Assume the variable is approximately normally distr
Molodets [167]

1. Answer: given: an average of 28 pounds

a.

Find z values corresponding to 27 and 31:

z=%2827-28%29%2F2=-1%2F2=-0.5

z=%2831-28%29%2F2=3%2F2=1.5

Find the area between z+=+-0.5 and z=+1.5

Table E gives us an area of 0.9332-0.30=0.6247=> The probability is 62.47%

b.

Find z values corresponding to 30.2

z=%2830.2-28%29%2F2=2.2%2F2=1.1 Find the area to the right of z+=1.1

it gives you an area of 0.1357=> The probability is 13.57%

7 0
3 years ago
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)
cluponka [151]

Answer:

B

Step-by-step explanation:

y = \frac{1}{4} is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 6, - 9 ) with equation

x = - 6 → B

5 0
3 years ago
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