A principal of ​$6000 is invested in an account paying an annual rate of 5​%. Find the amount in the account after 4 years if the account is compounded​ semiannually, quarterly, and monthly. ​(a) The amount in the account after 4 years if the account is compounded semiannually is ​$ nothing. ​(Round to the nearest​ cent.)

Answer:

9. 30/6

10. 7.6 and u

Step-by-step explanation:

The probability that the team will win the second game given that they have already won the first game is 7/10

Event win in the 1st game is represented with A

Event win in the 2nd game is represented with B

In the question

i. The probability that they will win both games is P(AnB) = 42%

ii. The probability that they will win the first game is P(A) = 60%

The probability that the team will win the second game given that they have already won the first game is:

P(B/A) = P(BnA) / P(A)

P(B/A) = P(AnB) / P(A)

From the question

P(B/A) = 42% / 60%

P(B/A) = 0.42 / 0.60

P(B/A) = 7/10

In conclusion: The probability that the team will win the second game given that they have already won the first game is 7/10

See related question here https://brainly.com/question/23423241

Answer:

2 positive unit tiles is needed

Step-by-step explanation:

Given the expression x^2 – 3x – 10, the partial factorization is as shown;

x^2 – 3x – 10

=  x^2 +2x – 5x – 10

= x(x+2)-5(x+2)

= (x-5)(x+2)

Note that negative values are represented as tiles labelled below (negative tiles) while positive values are tiles labelled above (positive tiles)

From the second line we can see that first term 1 is labeled + x squared, second is labelled +2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.

Hence base on the partial factorization and the underlined statement, we can see that 2 positive unit tiles is needed to complete the factorization

Answer:

B i think

Step-by-step explanation:

Answer:

$1,173,226,826  

Step-by-step explanation:

The estimate of the increase in dollars earnings is the difference between this year's earnings and last year's earnings. In other words, the increase in earnings is the excess of current year's earnings over last year's earnings as computed below:

increase in earnings=this year's earnings-last year's earnings

this year's earnings=$3,632,859,678

last year's earnings=$2,459,632,852

increase in earnings=$3,632,859,678-$2,459,632,852

increase in earnings=$ 1,173,226,826  

Answer:

The answer for the question is E.

Answer:

j ≥ -37

Step-by-step explanation:

j + 16 ≥ -21

move constant to the right hand side and change its sign

j ≥ -21 - 16

calculate the difference (subtract)

j ≥ -37

The graph would be a closed circle on -37 with an arrow pointing to the right.

To solve and describe the graph.

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions. The quality of being unequal or uneven.

Given that:

The inequality is

j + 16 ≥ -21

Move constant to the right hand side and change its sign

j ≥ -21 - 16

calculate the difference (subtract) the constant term

j ≥ -37

So, the graph would be a closed circle on -37 with an arrow pointing to the right.

Learn more about inequality here:

https://brainly.com/question/19846294

#SPJ5

Answer:

C.) 63

Step-by-step explanation:

You know what you insisted on me answering, so I'll answer here.

35 ÷ 5 = 7

7 x 9 = 63

35/5 = 7

7 * 9 = 63

Therefore, there are 63 (C) old houses in the city.

Answer:

C

Step-by-step explanation:

The solution to a system of equations given graphically are at the points of intersection of the 2 graphs.

The graphs intersect at (- 2, - 4 ) and (4, 8 )

Thus the solutions to the system are (- 2, - 4) and (4, 8 )

Answer:

the first one is b= 52

the second one is b= 63

1= 1/8

2= 4/8

3= 2/8

Step-by-step explanation:

Answer:

y=-2/3x+2/3 i think... :)

Step-by-step explanation:

y=mx+b

-4=-2/3(-7)+b

-4=14/3+b

b=2/3

y=-2/3x+2/3

Answer:

17.1

Step-by-step explanation:

Answer 17. 1

Step-by-step explanation:

Answer:

Okay the ratio of starfish to fish is 3:6 or 3/6 but simplified it is 1/2

The starfish ratio to 16 fish would be 8 or 16:8

and if there was one less starfish in the line the ratio would be 2:6 or 2/6 but simplified would be 1/3

Step-by-step explanation:

Okay to solve the first question we see that there are 6 fish and 3 starfish, when put into a ratio it is 3:6 (the reason the number of starfish is first in the ratio is because it is starfish to fish hence starfish goes first ). If you are wanting the ratio to be in fraction form you are going to put 3/6 and since 3 goes into 3 once and 6 twice so the fraction is 1/2

3:6 = 3/6 = 1/2

Since the ratio from starfish to fish is 1/2 of that number you are going to divide 16 by 1/2 or more like multiply:

16/ 1/2 = 16/1 * 1/2 = 16/2 = 8

I hope this helps you!!!

When the ratio of starfish is short of one then the ratio would be 2: 6 or in fraction form 2/6 but simplified is 1/3.

2:6 = 2/6 = 1/3

Answer:

d

Step-by-step explanation:

hope this helps

Answer:

78 minutes

Step-by-step explanation:

72/12=6

6*13=78

Answer:

here's the answers............

Answer:

-10c

Step-by-step explanation:

-4(c+2d)-2(3c-4d) = (-4c-8d) + (-6c+8d)

Multiply (-4) to both terms in the first bracket and multiply (-2) to both terms in the second bracket.

(-4c-8d) + (-6c+8d) = -4c-8d-6c+8d

Evaluate like terms.

-4c-8d-6c+8d = -10c

Answer:

Mark's shadow would be 3 feet.

Step-by-step explanation:

If a building is 50 feet tall and casts a 25 foot shadow, then the shadow of an object is 1/2 the length of the actual object.

This can be supported by the division problem:

50 ÷ 2 = 25

If Mark is 6 feet tall, then we need to divide 6 by 2 in order to find the length of the shadow.

6 ÷ 2 = 3

Therefore, Mark's shadow would be 3 feet.

Hope this helps! :D

Answer:

7/4 meter

Step-by-step explanation:

their all in fractions of 8 so let reduce

Corn - 8 goes into 19 twice with the remander of 3 --> 2 and 3/8

Pepper 5/8 cause that cant be reduced any lower

Squash - 7/8 cant be reduced any more

Now its asking to subtract the tallest plant from the smallest to see the diffrence

The tallest plant is Corn and the shortest is Pepper

19/8 - 5/8 = 14/8

reduce 7/4

Answer:

It is 14/5 meters taller.

Step-by-step explanation:

[tex]\frac{19}{8}[/tex] - [tex]\frac{5}{8}[/tex] = [tex]\frac{14}{8}[/tex]

Answer:

[tex] - \frac{18}{ {b}^{4} } [/tex]

Step-by-step explanation:

[tex] - 18b {}^{ - 4} [/tex]

express b^-4 with a positive exponent using:

[tex]a {}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

[tex] - 18 \frac{1}{ {b}^{4} } [/tex]

[tex] - \frac{18}{ {b}^{4} } [/tex]

Answer:

Step-by-step explanation:

Let x be the number of tiles to buy for same cost in both store.

18+0.69 · n = 1.29 · n,

1.29n -0.69n =18 or

0.6n =18

n =18/0.6=30

Therefore, 30 tiles need to buy for same cost in both store.[Ans]

Answer:

I think you need to cross multiply

9514 1404 393

Answer:

  1 solution

Step-by-step explanation:

The ratios of x- and y-coefficients are different, so the lines have different slopes. Lines with different slopes intersect at exactly one point. That point is the solution to the system of equations.

There is exactly one solution.

Answer:

D; $4,250

Step-by-step explanation:

Here, we want to know the amount that was invested in the 5% account

We proceed as follows;

Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b

We have it that the total investment amount is $11,000

Mathematically, since total is 11,000; we can add a and b to give this

a + b = 11,000 •••••••••(i)

Now, let us work with the interests

Interest earned will be;

Percentage of interest * Amount invested

For the 5% interest account, the interest earned will be;

5/100 * a = 5a/100 = 0.05a

For the 8% interest account , the interest earned will be;

8/100 * b = 0.08b

By adding the interests on both account, we can get the total amount of interest earned

We can have this as;

0.05a + 0.08b = 752.50 •••••(ii)

From equation i above;

b = 11,000 - a

Substitute this into ii

0.05a + 0.08(11,000-a) = 752.5

0.05a+ 880 - 0.08a = 752.5

0.08a-0.05a = 880-752.5

0.03a = 127.5

a = 127.5/0.03

a = $4,250

Answer:

One solution.

Step-by-step explanation:

This question has different coefficients so it has one solution.

Answer:

The correct options are;

1) How many grams of fat are in 1/2 cup of cheese = [tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]

2) How many cups of cheese will the chef need to make 13 small pizzas = [tex]\dfrac{1}{2} \cdot 13[/tex]

3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;

[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]

Step-by-step explanation:

1) How many grams of fat are in 1/2 cup of cheese

The number of grams of fat per 1/4 cup of cheese = 6 grams

Therefore;

The number of grams of fat per kilogram of cheese = 6/(1/4)

The number of grams of fat per 1/2 kilogram of cheese = 6/(1/4) × 1/2, which can be written as follows;

[tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]

2) How many cups of cheese will the chef need to make 13 small pizzas

The number of cups of cheese per small pizza = 1/2 cup of cheese

Therefore, the number of cups of cheese in 1 small pizza = 1/2 × 13, which can be written as follows;

[tex]\dfrac{1}{2} \cdot 13[/tex]

3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;

Given that 1/2 cup of cheese can make one small pizza

(1/2)/(1/2) = 1 cup of cheese can make 1/(1/2) small pizza

3/4 cup of cheese can make 3/4 × 1/(1/2)  = (3/4)/(1/2) small pizza, which can be written as follows;

[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]