# To save money you set aside \$50. For each following month you set aside 10% more than the previous month.How much money will you save in a year? Explain each step.

## Related Questions

The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.A 2-column table with 5 rows. Column 1 is labeled x with entries 12 a m, 3 a m, 6 a m, 9 a m, 12 p m. Column 2 is labeled y with entries 6, 10, 6, 2, 6.

Which equation models the data in the table?

y = 6 sine (StartFraction pi Over 6 EndFraction x) + 2
y = 6 sine (StartFraction pi Over 6 EndFraction x) + 4
y = 4 sine (StartFraction pi Over 6 EndFraction x) + 6
y = 4 sine (StartFraction pi Over 6 EndFraction x) + 10

Modeling the data in the table is done via the equation y = 4 sine (pi/6x) + 6.

### What is a cyclic pattern?

Over a period of years, a cyclical pattern recurs with considerable regularity. Cyclical patterns are distinct from seasonal patterns in that they last across a number of years as opposed to only one year for seasonal trends.

Given, The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.

Table:

12 AM                      6

3 AM                        10

6 AM                        6

9 AM                        2

12 PM                       6

from the general formula of wave

y = A sin(bx + c)

Substituting values in the equation from the graph attached below:

6 = A sin(0*b + c)......(1)

10 = A sin3b + c...(2)

6 = A sin6b + c......(3)

2 = A sin9b +c........(4)

Since -c/b is a phase shift of the graph

Thus

-c/b = 6

c = -6b

from equations 2 and 1

2* 6 = Asin(-3b) = -Asin3b

2 * 6 = Asin(-6b) = -Asin6b

2* 6/6 =sin6b/sin3b

1 = Cos3b

Thus b = π/6

from substitution in equations 3

6 = A sin6b + c

=> 6 = Asin 6* pi/6  + c

=> c = 6

from substitution in equations 2

10 = A sin3b + c

A = 4

therefore, The equation that models data in the table is y = 4 sine (pi/6x) + 6.

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c

Step-by-step explanation:

How to you simplify: ​

2

Step-by-step explanation:

First you must use distributive property on the numberator. You multiply 4 with 8, then 4 with 2. It will look like this: 32-8. Then you solve, it equals 24. Then add the denominator, which equals 12. Lastly, divide 24 by 12, which gets you 2.

2

Step-by-step explanation:

4(8-2)/3+9

First subtract 8 by 2

8-2=6

4(6)/3+9

Now multiply 4 and 6

4(6)=24

24/3+9

3+9=12

24/12

now divide the top by the bottom

24/12=2

Hope This Helps :)

A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm. What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5? (5 points)Perimeter = 46 cm, area = 131.25 cm2
Perimeter = 126 cm, area = 972 cm2
Perimeter = 46 cm, area = 972 cm2
Perimeter = 126 cm, area = 131.25 cm2
Perimeter = 46 cm, area = 131.25 cm2
Perimeter = 126 cm, area = 972 cm2
Perimeter = 46 cm, area = 972 cm2
Perimeter = 126 cm, area = 131.25 cm2

Perimeter = 126 cm, area = 972 cm2

Step-by-step explanation:

Rectangle perimeter:

• P = 2(w + l)

Rectangle area:

• A = wl

When scaled, the perimeter will change by same factor but the area by the square of same factor.

Applying to the given rectangle

Perimeter:

• P = 2(6 + 8)(4.5) = 126 cm

Area:

• A = 6*8*4.5² = 972 cm²

Correct choice is B

Perimeter = 126cm

Area = 972cm^2

Step-by-step explanation:

6*4.5 = 27

8*4.5 = 36

Perimeter = 27*2+36*2= 126 cm

Area = 27*36 = 972 cm^2

Hope this helped!

The recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. The given iron intakes (mg) were obtained for 45 random adult females. At the 10% significance level, do the data suggest that adult females are, on average, getting less than the RDA of 18 mg of iron? Assume that the population standard deviation is 4.2 mg. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: x bar equals=14.65 mg.)1. State the hypotheses for the​ one-mean z-test.
2. Compute the value of the test statistic. z=______
3. Determine the critical​ value(s).
4._________ the null hypothesis. At the 10​% significance​ level, the data____________sufficient evidence to conclude that adult females are ___________ the RDA of​ iron, on average.

Step-by-step explanation:

Given that the recommended dietary allowance (RDA) of iron for adult females is 18 milligrams (mg) per day. The given iron intakes (mg) were obtained for 45 random adult females.

1)

(left tailed test at 10% sigl level)

Mean difference = -3.35

2) Test statistic Z = Mean difference/std error =-5.35

3) Critical values are -1.28

Since critical value is > test statistic accept H0

4) ___Fail to reject______ the null hypothesis. At the 10​% significance​ level, the data_____shows_______sufficient evidence to conclude that adult females are ____equal to 18 mg_______ the RDA of​ iron, on average.

0.00000000005 in scientific notation

It can be written as 5 x 10^ -11 or 0.5 x 10^ -10

Hope it helps.

Write the equation of the given circle. Center (1,-5) Radius of 10

The equation of the circle with the given center and radius is x²-2x+y²+10y-74=0.

### What is a circle equation?

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²

Given that, the center of a circle is (1, -5) and the radius is 10 units.

Now, equation of a circle is

(x-1)²+(y+5)²=10²

x²+1-2x+y²+25+10y=100

x²-2x+y²+10y+26=100

x²-2x+y²+10y-74=0

Therefore, the equation of the circle with the given center and radius is x²-2x+y²+10y-74=0.