An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8
What is the solution to the system?

Answer:

$ 1,057.22

Step-by-step explanation:

A = $ 1,057.22

A = P + I where

P (principal) = $ 800.00

I (interest) = $ 257.22

After 8 years, total amount will be $1057.

Given that,

According to the given data, calculation are as follows,

Compound interest formula,

A = [tex]P (1 + \frac{r}{n} )^{nt}[/tex]

A = [tex]800 (1 + \frac{0.035}{4} )^{4\times 8}[/tex]

A = [tex]800 (1 + 0.00875 )^{32}[/tex]

A = $800 [tex]\times[/tex] 1.3215

A = $1057.2 or $1057.

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Answer:

length x width x height = volume

5.5 x 2 = 11 x 3 = 33

33 ft.

hope this helps

if you have any questions you can ask!

Step-by-step explanation:

Answer: A 15/100

Step-by-step explanation:

1. Convert 17/20 into percents

2. You get 85% Which is how much of her homework she has completed

3. To find what she has left subtract 85 from 100

4. You get 15 or 15/100 or 15% more of the test she hasn’t completed and needs to complete

Answer:

  5

Step-by-step explanation:

Solving the given equation for r, we get ...

  y = rx

  y/x = r

Then we can find r from any pair in the table:

  r = 35/7 = 5

The constant of proportionality is 5.

Answer:

y=3

Step-by-step explanation:

i did it in khan academy :)

Answer:

$275.6

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

[tex]P = 4000, r = 0.08, t = 12[/tex]

Anually:

[tex]n = 1[/tex]

Then

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(12) = 4000(1 + \frac{0.08}{1})^{12}[/tex]

[tex]A(12) = 10072.68[/tex]

Quarterly:

[tex]n = 4[/tex]

Then

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(12) = 4000(1 + \frac{0.08}{2})^{12*4}[/tex]

[tex]A(12) = 10348.28[/tex]

How much would the future value of the investment increase?

10348.28 - 10072.68 = 275.6

The future value of the investment would increase by $275.6.

Answer:

23

21+25=46 ÷2 =23 what you do is cancel out the numbers and find the middle

The median of the given data set 12,18,21,25,30,43 is, 23

The middle number or piece of data in a collection is known as the median. Three alternative metrics are employed in mathematics to determine the average value for a given group of integers. They are the mode, median, and mean. The measures of central tendency are this trio of measurements.

Median = {(n+1)/2}th term (for odd)

Median = [(n/2)th term + {(n/2)+1}th term]/2 (for even)

Given that,

The data set 12,18,21,25,30,43

By arranging given data set into ascending order,

12, 18, 21, 25, 30, 43

Median = [(n/2)th term + {(n/2)+1}th term]/2   (for even)

Median = (21 + 25)/2

Median = 23

Hence, the median is 23

To know more about median check:

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Answer:

8 footballs

18 basketballs

36 baseballs

24 softballs

Step-by-step explanation:

Let f = footballs

f = 8

Let b = basketballs

b = 2+2f = 2 +2(8) = 2 +16 = 18

Let B = baseballs

B = 5f -4 = 5(8) -4 = 40-4 = 36

Let s = softballs

s = 6+1/2B = 6+1/2(36) = 6+18 = 24

The total is 86

f+b+B +s = 86

8+18+36+24 = 86

86=86

There are 8 footballs.

Two more than twice the number of footballs are basketballs:

2f + 2 = b

f = number of footballs

b = number of basketballs

In the first statement, there are 8 footballs. So, f = 8

2(8) + 2 = b

16 + 2 = b

18 = b

Therefore, there are 18 basketballs.

Four less than 5 times the number of footballs are baseballs:

5f - 4 = a

f = number of footballs

a = number of baseballs

In the first statement, there are 8 footballs. So, f = 8

5(8) - 4 = a

40 - 4 = a

36 = a

Therefore, there are 36 baseballs.

Six more than half of the baseballs are softballs:

a/2 + 6 = s

a = number of baseballs

s = number of softballs

In the third statement, there are 36 baseballs. So, a = 36

(36)/2 + 6 = s

18 + 6 = s

24 = s

Therefore, there are 24 softballs.

Best of Luck!

Answer:

5 minutes

Step-by-step explanation:

200+15=215

214/43=5

It moved up a total of 200 + 15 = 215 meters at 43 meters per minute

t = 215 m / (43 m/min) = 5 minutes

Answer: 5 minutes

Answer:

11/12

Step-by-step explanation:

Find the common denominator.

4 and 3 both go into 12.

4 goes into twelve three times so multiply the denom and the num.

9/4 = 27/12

3 goes into twelve four times.

4/3 = 16/12

Subtract.

27/12-16/12

= 11/12

Answer: 11/12

Step-by-step explanation:

multiply 3 and 4 to get a common denominator.

multiply 3 by 9 and 4 by 4

this gets u 27/12 and 16/12

subtract.

11/12

Answer:

1080

Step-by-step explanation:

:)

Answer:

2.80

Step-by-step explanation:

Take the cost and divide by the number of padlocks

25.20/9

2.80

Each padlock costs 2.80

Answer:

$2.80

Step-by-step explanation:

25.20 is the total price, and there are 9 padlocks, so to get the price of each padlock, divide 25.20 by 9

25.20/9=2.8

write your answer in dollars: $2.80

A. True, a rhombus is a parallelogram with equal sides. A rhombus has four congruent sides.

B. True, but there are two other ways to find the area of a rhombus: there is the "diagonals" method and the "trigonometry" method.

C. False, the area of a rhombus is not less than the area of a parallelogram because it will depend on the diagonals.

D. False, a parallelogram is not always a rhombus because the dimensions and other attributes of a parallelogram may vary while the rhombus will remain equal for all aspects.

E. True, if you use the base times height formula but if you used any of the other formulas this would be false.

Answer:

THere will be 8 heads and 2 tails

Step-by-step explanation:

I don't know

Answer:

Acute and equilateral triangle

Step-by-step explanation:

An acute triangle is a triangle in which each of its angles measures less than 90 degrees.

There are three types of acute e triangle

1. Equilateral triangle: This is an acute triangle which has all of its sides equal as in the case of Steve.

2. Isosceles triangle is an acute triangle that has only two equal sides.

3. Scalene triangle is an acute triangle that has no Equal sides, that is, none of its sides are equal.

Answer:

Equilateral triangle

Step-by-step explanation:

Steve's triangle is an acute triangle.

An acute triangle has each of its 3 acute. That is the angles are less than 90°. It could be an equilateral triangle, isosceles or scalene triangle.

In this case, it is an equilateral triangle since all 3 sides (5m) are equal. Therefore all 3 angles of the triangles are equal( angle would be 60°).

Answer:

88.88% probability that it endures for less than a year and a half

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 66, \sigma = 10[/tex]

The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?

One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.

So this probability is the pvalue of Z when X = 78.21.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78.21 - 66}{10}[/tex]

[tex]Z = 1.22[/tex]

[tex]Z = 1.22[/tex] has a pvalue of 0.8888

88.88% probability that it endures for less than a year and a half

Answer:

  hyperbola

Step-by-step explanation:

A graphing calculator shows the equation is that of a hyperbola.

__

Multiplying by the denominator gives ...

  r(2 -3sin(x)) = 1

  2r -3y = 1 . . . . . . . . substituting y=r·sin(x)

  2r = 1 +3y . . . . . . . .isolating r

  4r² = 1 +6y +9y² . . squaring both sides

  4(x² +y²) = 1 +6y +9y² . . . . . substituting x²+y² = r²

  4x² -5y² -6y -1 = 0 . . . . . . . . general form equation of a hyperbola

Answer

5^5=25

Step-by-step explanation

Answer:

It cost $0.91 10 years ago.

It takes 10.24 years for the cost of bread to double.

Step-by-step explanation:

The equation for the price of bread after t years has the following format:

[tex]P(t) = P(0)(1+r)^{t}[/tex]

In which P(0) is the current price, and r is the inflation rate, as a decimal.

If we want to find the price for example, 10 years ago, we find P(-10).

Inflation is at a rate of 7% per year. Evan's favorite bread now costs $1.79.

This means that [tex]r = 0.07, P(0) = 1.79[/tex]. So

[tex]P(t) = P(0)(1+r)^{t}[/tex]

[tex]P(t) = 1.79(1+0.07)^{t}[/tex]

[tex]P(t) = 1.79(1.07)^{t}[/tex]

What did it cost 10 years ago?

[tex]P(-10) = 1.79(1.07)^{-10} = 0.91[/tex]

It cost $0.91 10 years ago.

How long before the cost of the bread doubles?

This is t for which P(t) = 2P(0) = 2*1.79. So

[tex]P(t) = 1.79(1.07)^{t}[/tex]

[tex]2*1.79 = 1.79(1.07)^{t}[/tex]

[tex](1.07)^{t} = 2[/tex]

[tex]\log{(1.07)^{t}} = \log{2}[/tex]

[tex]t\log{1.07} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.07}}[/tex]

[tex]t = 10.24[/tex]

It takes 10.24 years for the cost of bread to double.

Answer:

14

Step-by-step explanation:

7-5 = 2

4/2 = 2

2 x 7 = 14

Answer:

The 90% for the average weights of men is between 137.24 lb and 185.76 lb.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 14

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709

The margin of error is:

M = T*s = 1.7709*13.7 = 24.26

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 161.5 - 24.26 = 137.24 lb

The upper end of the interval is the sample mean added to M. So it is 161.5 + 24.26 = 185.76 lb

The 90% for the average weights of men is between 137.24 lb and 185.76 lb.

Answer:

4/45.

Step-by-step explanation:

There are a total of 15 marbles in the bowl, so:

P(red) = 5/15 = 1/3

P(blue) = 4/15

Required probability = 1/3 * 4/15

= 4/45

Answer:

P(red, blue) = (5/15)*(4/15) = 4/45

Answer:

Option C

Step-by-step explanation:

For a better, clear and unbiased sampling, choosing randomly might not allow for a biased sampling. Choosing in an alphabetical order might not give a representative of the whole hospitals both private and public, thus invigilator the conclusion of our hypothesis test.

Answer:

Step-by-step explanation:

This problem is a composition of function defined by C(V(r)), now we have the functions [tex]V(r)= \pi r^{3}[/tex] and [tex]C(V)=3.2V[/tex], where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,

[tex]C(V(r))=3.2(\pi r^{3} )[/tex]

Therefore, the right answer is the last choice.

Answer:

The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Prefers swimming on weekends.

Event B: Being female.

25% prefer swimming on weekends

This means that [tex]P(A) = 0.25[/tex]

It is found that 20% of the members in that city prefer swimming on weekends and are female

This means that [tex]P(A \cap B) = 0.2[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2}{0.25} = 0.8[/tex]

The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.

Answer:

  see below

Step-by-step explanation:

It is usually convenient to choose small exponents when graphing an exponential function. You can get a reasonable idea of the shape of the curve using x-values with a magnitude of 3 or less.

The exponential term 2^x has a horizontal asymptote of y=0 for large negative values of x. Adding 3 to that term shifts the horizontal asymptote up to y=3. Of course, everything else is shifted up the same amount.

You know that ...

  2^-1 = 1/2

  2^0 = 1

  2^1 = 2

  2^2 = 4

Adding 3 to these values will give you points on the graph for x=-1 to 2.

Answer:7.3

Step-by-step explanation:

hypotenuse=h=16

Adjacent=x

Φ=63°

CosΦ=x/h

Cos63=x/16

Cross multiply

16 x cos63=x

Cos63=0.4540

16 x 0.4540=x

7.3=x

x=7.3

Answer:

764

Step-by-step explanation:

Answer

the first photo answer is 174 (2nd photo is A) Answer to 3rd photo is 72. The last photo is 8100 ft²

Step-by-step explanation:

1st Photo

12 x 12 is 144

5 times 12 divided by 6 - (5 x 6) 30

144 plus 30 is 174

2nd Photo

3 x 5 15

15 is A

3rd Photo

6 x 12 is 72

72 for 3rd Photo

4th Photo

90 x 90 is

8,100

Answer:

It will cost 42 to completely fill the box with hay.

have a good day <3