Joe borrowed $8,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?

Answer:

the first and second car seats are appropriate for a 33 lb. child. The first seat suits children up to 34 lb. The second seat suits children that weight between 16 to 40 lb.

The only seat that is not appropriate would be the third one that is too large, since children between 34 to 90 lb. should use it.

seat 1 ≤ 34 lb ⇒ simple inequality

16 lb < seat 2 and seat 2 < 40 lb ⇒ compound inequality

34 lb < seat 3 and seat 3 ≤ 90 lb ⇒ compound inequality

Answer:

3/2 inches

Step-by-step explanation:

To get the percent, divide 27 by 150 then multiply the quotient by 100.

(27 / 150) * 100 = 18%

Answer:

B

Step-by-step explanation:

2x3=6 and 6x4=24 so 6-24= -18

Answer:

B

Step-by-step explanation:

-18

Answer:

A=42.25

Step-by-step explanation:

6.5^2

Answer: 0.08192

Step-by-step explanation:

Given: Probability of free throws = 0.80

Then, probability of missing the free throw = 1-0.80=0.20

Now, According to the negative binomial probability distribution, the probability that the rth success is achieved in xth trial is given by ;-

[tex]P(X=x)= pC_{r-1}^{x-1}p^{r-1}(1-p)^{(x-r}[/tex]

Put p = 0.20 , x=5 and r =1, we get

The probability of this player missing a free throw for the first time on the fifth attempt as [tex](0.20)\ ^{5-1}C_{1-1}(0.20)^{1-1}(1-0.20)^{5-1}[/tex]

[tex]= (0.20)\ ^{4}C_{0}(0.20)^{0}(0.80)^{4}\\\\=(0.20)(1)(0.80)^4\\\\=(0.20)(0.4096)\\\\=0.08192[/tex]

hence the required probability =0.08192

Answer:0.08912

Step-by-step explanation:

Answer2(-4)= -8 :

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

2×(-4)= -8

The answer will be negative because if you multiply a negative by a positive it will always be a negative.

Dear student,

I request you to make you question more clear.

thank you,

________ ___________________________________

Answer:

a) 2

Step-by-step explanation:

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Answer:

i think it is b .

Step-by-step explanation:

Answer:

The mean exam scores in the second section is greater than the mean exam scores in the first section

Step-by-step explanation:

Here, we are interested in making a conclusion.

Mathematically;

z-score = (score - mean)/SD

so basically, what determines the sign of the z-score is dependent entirely on the mean.

If the mean is larger than the score, we will have a negative z-score. If the mean is smaller than the score, then will have a positive z-score

So basically what drives the sign is the mean value since the scores are the same for both students in this case, irrespective of the standard deviation in both classes.

So, for the first girl with a positive z-score, we can conclude that her score is larger than the mean; while for the second girl with a negative z-score, her score is smaller to the mean.

Thus, what we conclude here is that the mean score of the second section with the professor is greater than the mean score of the first section with the professor.

Answer X= 0.6

Step-by-step explanation:

Answer:

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Step-by-step explanation:

As it is mentioned in the question that the probability of faces like 2,3,4,5 are not affected so in this case

P(2) = P(3) = P(4) = P(5) = 1 ÷ 6

And,  P(6) = 0.2

As we know that

P(1) + P(2) +P(3) +P(4) +P(5) +P(6) = 1

This results P(1) = 2 ÷ 15

So,

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Hence, the correct option is 2nd

Answer:

The answer is " [tex]\bold{\frac{7}{2}}[/tex]"

Step-by-step explanation:

Given value:

[tex]\to f(x)=4x+3x^2-x^3\\\\\to g(x)=0[/tex]

Find:

area=?

calculation:

[tex]\ Area = \int_{-1}^{0} -(4x+3x^2-x^3) dx + \int_{0}^{1} (4x+3x^2-x^3) dx \\\\[/tex]

        [tex]= -(2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= -( 2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= ( 2- 1 -\frac{1}{4}) + (2+1- \frac{1}{4})\\\\\\= ( \frac{8-4-1}{4}) + (\frac{8+4-1}{4})\\\\= ( \frac{3}{4}) + (\frac{11}{4})\\\\= \frac{3}{4} + \frac{11}{4}\\\\= \frac{11+3}{4}\\\\= \frac{14}{4}\\\\= \frac{7}{2}\\\\[/tex]

Answer:

Answer 1: 1

Answer 2: 11

Answer 3: 5

by adding answers from 1 ,2 and 3

we get,

Answer 4: 17

Answer:

multiply 0.75 × 10 = 7..50

Answer:

The box plot

Step-by-step explanation:

Divide 30 by 25% to find the full amount:

30/0.25 = 120

Now multiply the full amount by 40%:

120 x 0.40 = 30

Answer:

2.8

Step-by-step explanation:

2.8*10=28

Also, when you multiply 2.8 by 10, you can just move the decimal to the right once, giving you 28.

Answer:

answer is A $435.20

Step-by-step explanation:

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Answer:

No, they are not equivalent.

Step-by-step explanation:

2^5 means 2 to the 5th power, so we multiply it by itself 5 times.

2x2x2x2x2=32

Same as 5^2

5x5=25

32>25

There is your answer, no.

Answer: 2 Cups

Step-by-step explanation:

1/3 * 3 = 1

2/3 * 2 = 2

Answer:

you will need 2 cups of sugar for 1 batch of brownies

Step-by-step explanation:

2/3 cup ×3 = 6/3 cups or 2 cups

Answer:

6^-2 =0.02777777777

Step-by-step explanation:

Answer:

0.0800

Step-by-step explanation:

Answer:

[tex]0.0769[/tex] rounded to the nearest hundred is: [tex]0.08[/tex]

Step-by-step explanation:

Rounded to the nearest 0.01 or

the Hundredths Place.

Hope this helps you!

Answer:

- 14

Step-by-step explanation:

[tex]f(x) = - 5 {x}^{2} - 4x + 19 \\ plug \: x = - 3 \\ f( - 3) = - 5 {( - 3)}^{2} - 4( - 3) + 19 \\ f( - 3) = - 5 \times 9 + 12 + 19 \\ f( - 3) = - 45 + 31 \\ f( - 3) = -14[/tex]

Answer:

34

Step-by-step explanation:

1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then

2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;

3. according  to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;

4. if to make up the system of two equation and calculate the values of 'x' and 'y':

5. if x=34, then Caleb is 34 old now.

Answer:

  4,152,842.53301 cm³ ≈ 4.1528 m³

Step-by-step explanation:

The volume of a rectilinear room of those dimensions will be the product of those dimensions:

  (144.78 cm)(198.12 cm)(144.78 cm) = 4,152,842.53301 cm³

A more appropriate unit for such a volume is cubic meters. There are a million cubic centimeters in a cubic meter, so the volume (to 5 significant digits) is ...

  4.1528 m³

_____

We assume that any oxygen is uniformly distributed in the space, so the volume of oxygen will be the same as the volume of the room.

_____

Additional comment

These dimensions correspond to those of a room that is 57 inches square and 78 inches high.

Answer:

Step-by-step explanation:

y - 8 = 6(x + 2)

y - 8 = 6x + 12

y = 6x + 20