Find the time required for an investment of 4,000 dollars to grow to 9,000 dollars at an interest rate
of 5% per year, compounded monthly. Give your answer accurate to 2 decimal places.
years.

Answer:

17. The puppy will grow 16 in - ( 1 foot = 12in and 28-12=16)

Step-by-step explanation:

18 .

21; 17.5; 14; 10.5; and 7

3 x 7 = 21

2.5 x 7 = 17.5

2 x 7 = 14

1.5 x 7 = 10.5

1 x 7 = 7

The blood platelet count is an illustration of normal distribution,

Approximately 95% of the data lies within 2 standard deviations of the mean.

There are approximately 99.7% of women with platelet count between 65.2 and 431.8.

Given parameters are:

μ = 248.5

σ = 61.1

(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,

Start by calculating the z-score, when x = 126.3 and x = 370.7

Z = x-μ / σ

Therefore,

Z = 126.3-248.5/61.1

Z = -2

Also,

Z = 370.7-248.5/61.1

Z = 2

The empirical rule states that:

Approximately 95% of the data lies within 2 standard deviations of the mean.

Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.

(b) The percentage with platelet count between 65.2 and 431.8

Start by calculating the z-score, when x = 65.2 and x = 431.8

Z = 65.2-248.5/61.1

Z = -3

And,

Z = 431.8-248.5/61.1

Z = 3

The empirical rule states that:

Approximately 99.7% of the data lies within 3 standard deviations of the mean.

Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.

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Answer:

4 • 7 + ( 3 + ( -3) ) is equivalent to D. 4 • 7 + 0

Hope it helped ❤

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

Answer:

See below ↓↓↓

Step-by-step explanation:

Question #1

Question #2

Question #3

Answer:

its 105

Step-by-step explanation:

Answer:

C.30

Step-by-step explanation:

Its a pattern that increases by $5 as it goes down.

The angle measure explained in the solution.

Given that, a || b, we need to find the missing angles,

∠1 = 42° [vertically opposite angles]

∠3 = 62° [vertically opposite angles]

∠2 = 180°-(∠1+62°) [angle in a straight line]

∠2 = 76°

∠4 = ∠2 [vertically opposite angle]

∠4 = 76°

∠4 = ∠9 = 76° [alternate angles]

∠9 = ∠12 = 76° [vertically opposite angle]

∠3 = ∠ 6 = 62° [alternate angles]

∠ 6 = ∠7 = 62° [vertically opposite angle]

∠3 + ∠5 = 180° [consecutive angles]

∠5 = 118°

∠5 = ∠8 = 118° [vertically opposite angle]

∠4 + ∠10 = 180° [consecutive angles]

∠10 = 104°

∠10 = ∠11 [vertically opposite angle]

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Answer:

Step-by-step explanation:480 x o.75=360

and now you add this amount on payed

360 + 480=840 was original price

Answer:

D

Step-by-step explanation:

The total annual FICA tax for an annual salary of $38,480 is D $2,943.72.

FICA tax comprise of Social security tax + Medicare tax

Where:

Hence:

FICA tax=($38,480×6.2%)+($38,480×1.45%)

FICA tax=$2,385.76+$557.96

FICA tax= $2,943.72

Inconclusion the  total annual FICA tax for an annual salary of $38,480 is D $2,943.72.

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Answer:

1/128

Step-by-step explanation:

use formula: an = a1 × r ^ n-1

a1 = 4

r = 0.5

n = 10

a10 = 1/128

x = -6, 8

Find the values of x by factoring, getting

(x - 8)(x + 6) = 0

Answer:

x = -6, 8

Step-by-step explanation:

Answer:

k = 1/5

Step-by-step explanation:

We know the formula y = kx

Using one of the points and substituting y and x

12 = k(60)

Divide each side by 60

12/60 = k*60/60

1/5 = k

Answer:

1/3

Step-by-step explanation:

its 1/3 because if you start from 3 to up its counting by 3 and in fractions you can write 1/3 which is not a whole but its to 3

Answer:

200

Step-by-step explanation:

If 40% are roses than 60% must be sunflowers (40% + 60% = 100%)

We are trying to find 60% of some number is 120.

Let n = the total number of flowers

.6n = 120  Divide both sides by .6

n = 200

The value of y is 41 using Linear Relationship.

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Both a graphical representation of a linear connection, in which the variable and constant are connected by a straight line, and a mathematical representation, in which the dependent variable is determined by multiplying the independent variable by the slope coefficient and a constant.

A polynomial or non-linear (curved) connection can be contrasted with a linear relationship.

In the relation when x = 1 y = 5 and x=2 y = 14

So for 1 increse in x y is incresing by 9

so from x=4 y= 32 to x= 5

Y will be 32 + 9 = 41

The value of y is 41 using Linear Relationship.

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Answer:

171.4%

Step-by-step explanation:

1 5/7 as a percent is 171.4

Answer:

171.43%

Step-by-step explanation:

1 is 100%

5/7 is 5/7×100%=71.43%(to 2 d.p.)

Add the 2 to give you :

171.43%

The equation that models the number of female eastern bluebirds observed, b,  and t, the total number of eggs laid is t = 5b

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

Let we take:

b = the number of female eastern bluebirds observed

t = the total number of eggs laid

Since the relationship between b and t is forming a line, so it can be modeled by linear equation.

Here, we take 'b' as independent variable,  and the value of 't' depending on the value of 'b', and therefore, let the linear equation representing them is:

\(t = mb + c\)

For this case, we see that as the number of female eastern bluebird is increased by 1, half of 10 units (which is 5 units) is increased in the total number of eggs laid.

Thus, as we increase 'b' by 1 unit, there is increase by 5 units in the value of 't'.

and therefore, we get: m = increment in dependent variable per unit increment in independent variable = 5

Thus, the equation is:

\(t = 5b + c\)

At b = 1, the number of eggs laid is 5, or t = 5, therefore, putting these values in the equation, we get:

\(5 = 5(1) = c\\c = 5-5=0\)

Thus, the relation between t and b is t = 5b + 0= 5b

Thus, the equation that models the number of female eastern bluebirds observed, b,  and t, the total number of eggs laid is t = 5b

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Answer:

  2

Step-by-step explanation:

You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.

The slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.

  slope = rise/run = 2/1 = 2

The slope of DC is 2.

<95141404393>

        Thanks for reposting the pertinent question:

        Therefore the SLOPE of DC:

         DC  =   2

        POINTS:  D, C, B, and A  are COLLINEAR

       SLOPE of:  DC  is  Equal (=)  To the SLOPE  of: AB

       AB  =   2/1   =  2

       Therefore the SLOPE of DC:

       DC  =   2

I hope this helps you!

Answer:

-4/5 and 7/15

Step-by-step explanation:

the opposite of a number is a number that is equal length from 0 on a number line. So the opposite of 4/5 is -4/5 and the opposite of -7/15 is 7/15

---

hope it helps

Answer:

ya if you do 3 a day

Step-by-step explanation:

Answer:

yes it is enough time you would have to do 25 assignments aweek

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. Let μ1 be the mean dissolution time for disk-shaped ibuprofen tablets and μ2 be the mean dissolution time for oval-shaped ibuprofen tablets.

The random variable is μ1 - μ2 = difference in the mean dissolution time for disk-shaped ibuprofen tablets and the mean dissolution time for oval-shaped ibuprofen tablets.

We would set up the hypothesis.

a) The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

For disk shaped,

Mean, x1 = (269.0 + 249.3 + 255.2 + 252.7 + 247.0 + 261.6)/6 = 255.8

Standard deviation = √(summation(x - mean)²/n

n1 = 6

Summation(x - mean)² = (269 - 255.8)^2 + (249.3 - 255.8)^2 + (255.2 - 255.8)^2+ (252.7 - 255.8)^2 + (247 - 255.8)^2 + (261.6 - 255.8)^2 = 337.54

Standard deviation, s1 = √(337.54/6) = 7.5

For oval shaped,

Mean, x2 = (268.8 + 260 + 273.5 + 253.9 + 278.5 + 289.4 + 261.6 + 280.2)/8 = 270.7375

n2 = 8

Summation(x - mean)² = (268.8 - 270.7375)^2 + (260 - 270.7375)^2 + (273.5 - 270.7375)^2+ (253.9 - 270.7375)^2 + (278.5 - 270.7375)^2 + (289.4 - 270.7375)^2 + (261.6 - 270.7375)^2 + (280.2 - 270.7375)^2 = 991.75875

Standard deviation, s2 = √(991.75875/8) = 11.1

b) Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

Therefore,

t = (255.8 - 270.7375)/√(7.5²/6 + 11.1²/8)

t = - 3

c) The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [7.5²/6 + 11.1²/8]²/[(1/6 - 1)(7.5²/6)² + (1/8 - 1)(11.1²/8)²] = 613.86/51.46

df = 12

We would determine the probability value from the t test calculator. It becomes

p value = 0.011

d) Since alpha, 0.05 > than the p value, 0.011, then we would reject the null hypothesis. Therefore, we can conclude that at 5% significance level, the mean dissolve times differ between the two shapes

Answer:

\(x^{2} +2x-15 = 0\)

Step-by-step explanation:

x = 3 and x = -5

(x - 3) = 0 and (x + 5) = 0

(x - 3) * (x + 5) = 0

\(x^{2} + 5x - 3x - 3*5 = 0\\x^{2} +2x-15 = 0\)

Answer: The quotient is 3y² + 2y - 1.

Step-by-step explanation:

You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.

1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.

3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.

2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.

3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.

Answer:

Step-by-step explanation:

According to question, we know that

His Sister has "1/5*$25 which is equal to $5, and his father has "40%*$25 which is equal to 0.4 * $25 = $10". So, the money Hafiz, his sister and his father have in total

= $25+$5+$10 = $40

Hafiz = $25

Sister = \(\frac{1}{5}\)

Father = 40%

Total money of Hafiz, Sister, and Father altogether.

\(\frac{1}{5} X\) $25

= $5

40% (0.4) x $25

= $ 10

$ 25 + $ 5 + $ 10

Answer:

12 gallons

Step-by-step explanation:

The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

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The ramp rises 8.79 inches from the lowest point on the ground to the nearest hundredth.

A right angle triangle has a 90 degree angle as one of its angles. Trigonometric ratios can be used to determine the sides. The length of the fiberboard becomes the hypotenuse of the right triangle that is so constructed. As a result, the ramp rises 8.79 inches from the ground at its tallest point to the closest hundredth.

The opposite side of the right triangle is the height of the ramp that is created.

Hence,

sin 19° = opposite / hypotenuse

sin 19° = h / 27

cross multiply

h = 27 × sin 19°

h = 27 × 0.32556815445

h = 8.79034017034

h = 8.79 inches.

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Elementary row operations to find system of equation solutions in row echelon or reduced row echelon form.

We first write the augmented matrix [A|B] by combining the coefficients of the variables and the constants on the right side of the equations:

x + y + 6z | 8

1/3 x - 1/3 y + 2/3 z | 2

1/2 x | -z | 0.

Here are the steps to perform Gauss-Jordan row reduction on the augmented matrix [A|B]:

Step 1: Divide the first row by x + y + 6z to get 1 as the leading coefficient:

1 y/x + y + 6z 6z/x + y + 6z | 8/x + y + 6z

1/3 x - 1/3 y + 2/3 z | 2

1/2 x | -z | 0

Step 2: Subtract the first row multiplied by 1/3 from the second row to eliminate x:

1 y/x + y + 6z 6z/x + y + 6z | 8/x + y + 6z

0 - 2/3 y + 5/3 z | 4/3

1/2 x | -z | 0

Step 3: Subtract the first row multiplied by 1/2 from the third row to eliminate x:

1 y/x + y + 6z 6z/x + y + 6z | 8/x + y + 6z

0 - 2/3 y + 5/3 z | 4/3

0 | -z + 3z/x + y + 6z | 3/x + y + 6z

Step 4: Divide the second row by -2/3 to get 1 as the leading coefficient:

1 y/x + y + 6z 6z/x + y + 6z | 8/x + y + 6z

0 1 5/2 | -2/3

0 | -z + 3z/x + y + 6z | 3/x + y + 6z

Step 5: Subtract the second row multiplied by 5/2 from the third row to eliminate y:

1 y/x + y + 6z 6z/x + y + 6z | 8/x + y + 6z

0 1 5/2 | -2/3

0 | 3z | -15/2

Step 6: Divide the third row by 3 to get 1 as the leading coefficient:

1 y/x + y + 6z 6z/x + y + 6z | 8/x + y + 6z

0 1 5/2 | -2/3

0 | 1 | -5

Thus, the reduced row echelon.

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Answer:

Step-by-step explanation:

3 1/3 is 10/3. 1 1/5 is 6/5. KCF, Keep Change Flip.

10/3 divided by 6/5 becomes 10/3 multiplied by 5/6, or 50/18.

50/18 becomes 25/9, or 2 7/9.

Answer:

Answer:

124.84

Step-by-step explanation:

A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )

≈ 124.84313

Step-by-step explanation: