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Oliga [24]
2 years ago
12

I need help on question 4 and 10

Mathematics
1 answer:
nevsk [136]2 years ago
5 0

The equivalent sets are <u>X n Y = { } and X U Y= {5, 6, 7,8, 9, 10, 12 ,14}</u>

<h3>Set theory and notation</h3>

Given the following sets expressed as;

X = {8, 10, 12, 14}

Y = {5, 6, 7, 8,9}

Since union means the combination of all the elements in both sets and intersection is the common elements in the set, hence;

X n Y = { }

X U Y= {5, 6, 7,8, 9, 10, 12 ,14}

Note that the intersection is an empty set since there is no common element

Learn more on set theory here: brainly.com/question/13458417

#SPJ1

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An engineer deposits $2,000 per month for four years at a rate of 24% per year, compounded semi-annually. How much will he be ab
Alex17521 [72]

The amount of money he will be able to withdraw after 10 years after his last deposit is $926,400.

<h3>Compound interest</h3>

  • Principal, P = $2,000 × 12 × 4

= $96,000

  • Time, t = 10 years
  • Interest rate, r = 24% = 0.24
  • Number of periods, n = 2

A = P(1 + r/n)^nt

= $96,000( 1 + 0.24/2)^(2×10)

= 96,000 (1 + 0.12)^20

= 96,000(1.12)^20

= 96,000(9.65)

= $926,400

Therefore, the amount of money he will be able to withdraw after 10 years after his last deposit is $926,400

Learn more about compound interest:

brainly.com/question/24924853

#SPJ4

5 0
2 years ago
• A car uses 30 gallons of gasoline for a trip of 800 miles. How many gallons would
nevsk [136]

Quantity of gasoline needed by a car to run 800 miles = 30 gallons

Quantity of gasoline needed by a car to run 1 mile =

= 30 ÷ 800

= 0.0375 gallons

So , to run 1 mile a car would need = 0.0375 gallons of oil

To run 700 miles the quantity of gasoline needed =

= 700 × 0.0375

= 26.25 gallons of gasoline

Therefore , a car will use 26.25 gallons of gasoline on a trip of 700 miles .

7 0
3 years ago
Which expression gives the determinant of the matrix
BartSMP [9]

If the matrix is of 2 by 2 then we can find the determinant of the matrix.

\begin{bmatrix}a & b\\ c & d\end{bmatrix}

Then (ad - bc ) gives you the determinant of the matrix.

For example,

\begin{bmatrix} 2 & 4\\  1 & -2 \end{bmatrix}

= (2)(-2) - (1)(4)

= - 4 - 4

\begin{bmatrix} 2 & 4\\  1 & -2 \end{bmatrix} = -8



3 0
3 years ago
Read 2 more answers
Tell whether the rates form a proportion.
pav-90 [236]

Answer: no

Step-by-step explanation: the answer is no

5 0
3 years ago
Convert 0.4 J to kJ. <br> Please show working
dybincka [34]

Answer:

0.0004

Step-by-step explanation:

divide the energy value by 1000

0.4/1000

7 0
3 years ago
Read 2 more answers
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