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2 years ago

U = { z | z is an integer and − 1 ≤ z < 2 }

Mathematics

1 answer:

Effectus [21]2 years ago

3 0

Answer:

(-1,0,1,2)

Step-by-step explanation:

in listing the values of z it will now be (z:z= -1,0,1,2)

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Isaac invested $460 in an account paying an interest rate of 2.4% compounded daily. Assuming no deposits or withdrawals are made

allochka39001 [22]

Answer:

t =17 years

Step-by-step explanation:

The formula for interest

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

where a is the amount in the account , p is the principal, r is the rate, n is the number of times compounded per year and t is the time in years

Substituting in what we know

690 = 460 ( 1+ .024/365)^ 365t

690/460 = ( 1+ .024/365)^ 365t

1.5 = ( 1+ .024/365)^ 365t

Taking the log of each side

log(1.5) = 365t log( 1+ .024/365))

Dividing each side by( 1+ .024/365)

log(1.5)/ log( 1+ .024/365) = 365t

divide each side by 365

1/365 log(1.5)/ log( 1+ .024/365) =t

t =16.8949

To the nearest year

t =17

4 0

3 years ago

Read 2 more answers

Piece made in 32min factory cut the time by 8% then cut time by 5% how long does it take to make the piece now in min

DiKsa [7]

Answer:

27.968 mins

Step-by-step explanation:

1) we need to find 8% of 32:

32*0.08=2.56

so 8% of 32 is 2.56 mins.

we need to subtract 2.56 by 32 since its says the times was cut by 8%

32-2.56=29.44

now 5% of 29.44:

29.44*0.05=1.472

1.472 mins

29.44-1.472=27.968

Hope this helps!

4 0

3 years ago

The dimensions of rectangle A are four times the dimensions of rectangle B. The area of rectangle B is 162 cm2. What is the area

Anna [14]

Answer:

2,592 square cm.

Step-by-step explanation:

It is given that the dimensions of rectangle A are four times the dimensions of rectangle B.

Let dimensions of rectangle B are l×b.

So, the dimensions of rectangle A are 4l×4b.

Area of rectangle is

$Area=length\times width$

Area of rectangle B is

$A_B=l\times w$

The area of rectangle B is 162 square cm.

$A_B=l\times w=162$

Area of rectangle A is

$A_A=4l\times 4w=16(l\times w)=16(162)=2592$

Therefore, the area of rectangle A is 2,592 square cm.

3 0

3 years ago

For 5-8, cis the hypotenuse of the right triangle ABC with sides a, b, c

Zigmanuir [339]

Answer:

Step-by-step explanation:

6) this is a 3, 4, 5 triangle in disguise as an x,8,10.. yes , if you guessed 6 for b you're correct

5 0

3 years ago

Find the mean, median, and mode of 13, 30, 16, 19, 20, 22, 25, 31

Andreyy89

Answer:

Mean: 22

Median: 21

Mode: No mode

Step-by-step explanation:

Mean:

The sum is the value of all the values divided by the number of values:

$13+30+16+19+20+22+25+31/8$ which is 22.

Median:

The median is the middle-most value of the data set when arranged from lowest to highest:

13, 16, 19, 20, 22, 25, 30, 31

Here, since there are two middle-most terms, the median would be the average of 20 and 22 (20+22/2), which is 21.

Mode:

The mode is the most occurring value in the data set.

13, 16, 19, 20, 22, 25, 30, 31

Since, in this data set, there is do value that occurs twice, we can say that there is no mode for this data set.

5 0

3 years ago