Maricopa's Success scholarship fund receives a gift of $ 150000. The money is invested in stocks, bonds, and CDs. CDs pay 6 % interest, bonds pay 2.2 % interest, and stocks pay 11.7 % interest. Maricopa Success invests $ 15000 more in bonds than in CDs. If the annual income from the investments is $ 10805 , how much was invested in each account?


Maricopa Success invested _____ in stocks.

Maricopa Success invested _____ in bonds.

Maricopa Success invested _____ in CDs.

Answer:

[tex]x = -3+\sqrt{14} \\x=-3-\sqrt{14}[/tex]

Step-by-step explanation:

x + 6x - 5 = 0

Since you can't factor the equation, use the quadratic formula.  

Your equation is already in the form of ax + bx + c.

[tex]x=\frac{-b\frac{+}{} \sqrt{b^{2} -4ac} }{2a}[/tex]

Based on your equation  a = 1  b = 6  c = -5.  Plug in the numbers and solve for x.

[tex]x = \frac{-6\frac{+}{} \sqrt{6^{2} -4(1)(-5)} }{2(1)} \\x = \frac{-6\frac{+}{} \sqrt{36+20 } }{2} \\x=\frac{-6\frac{+}{}\sqrt{56} }{2} \\x=\frac{-6\frac{+}{}2\sqrt{14} }{2} \\\\x = -3+\sqrt{14} \\x=-3-\sqrt{14}[/tex]

The answer are A,D,and E

Answer:

A. The formula for the volume of a cyclinder can be applied to find the area of the base.

D. The area of the base is 38Pi cm2.

E. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.

I hope this helped

Answer:

2√14.

This means that we can rewrite the square root of the product as the product of the square roots. We know 56=4⋅14 , so this allows us to rewrite √56 as. √4⋅√14. This simplifies to 2√14.

Step-by-step explanation:

The square root of 56 is the irrational number with approximate value 7.48331 and exact value 2√(14).

Answer:

35

Step-by-step explanation:

Answer:

53/100

Step-by-step explanation:

The first step is to find the common denominator of the two fractions. Since 10*10=100, you are adding 50/100 and 3/100. 50/100+3/100=53/100. Hope this helps!

Answer:

Third answer.

Step-by-step explanation:

To simplify, we can factor 'x' from the equation, giving us:

[tex]\frac{x(1)}{x(4 + x)} = \frac{1}{x+4}[/tex]

However, we must put a domain restriction to ensure that the denominator will not equal 0. This means that 'x+ 4' cannot equal zero. Therefore, x ≠ -4.

The third answer is correct.

Answer:

Step-by-step explanation:

A

*The complete question is in the picture attached below.

Answer:

756πcm³

Step-by-step Explanation:

The volume of the solid shape = volume of cone + volume of the hemisphere.

==> 270πcm³ + ½(4/3*π*r³)

To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.

Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.

==> Volume of cone = ⅓πr²h

⅓*π*r²*10 = 270π

⅓*10*r²(π) = 270 (π)

10/3 * r² = 270

r² = 270 * ³/10

r² = 81

r = √81

r = 9 cm

Thus, volume of hemisphere = ½(4/3*π*r³)

==> Volume of hemisphere = ½(⁴/3 * π * 9³)

= ½(972π)

Volume of hemisphere = 486πcm³

Volume of the solid shape

= volume of cone + volume of the hemisphere.

==> 270πcm³ + 486πcm³

= 756πcm³

Answer:

T = 2*PI* sq root (L / g)

Squaring both sides

T^2 = 4PI^2 * L/g

g = 4PI^2 * L / T^2

g = 4PI^2 * 1 / (3.27)^2

g = 39.4784176044  * 1 / 10.6929

g = 3.6920215848

(Wikipedia says 3.72076, so I'd say the calculation is correct).

Step-by-step explanation:

Answer:

18 ft^2

Step-by-step explanation:

The area of a parallelogram is A=bh.

The area would be A = 9*4.

A = 36

To find the area of one trapezoid you divide the area of the parallelogram by 2.

36/2 = 18 ft^2

Answer:

The horizontal distance from the plane to the tower is 2784.5 feet.

Step-by-step explanation:

From the given question, the height of the control tower is not given. But;

Tan θ = [tex]\frac{Opposite side}{Adjacent side}[/tex]

Tan [tex]12^{0}[/tex] = [tex]\frac{x}{13100}[/tex]

x = 13100 × Tan [tex]12^{0}[/tex]

   = 2784.4910

Thus, x = 2784.5 feet

Therefore, the horizontal distance from the plane to the tower is 2784.5 feet.

Answer:

The horizontal distance from the plane to the control tower is 61630.7 ft.

Step-by-step explanation:

Here we have that

Height of flight of plane = 13,100 ft = Opposite side of angle of elevation

Angle of depression from the plane to the control tower = 12°

Therefore, the control tower can be sighted on a straight (hypotenuse) line from the plane with an angle of depression of 12°

Angle of depression from the plane to the control tower = Angle of elevation from the control tower  to the plane = 12°

Horizontal distance from the plane to the control tower = Adjacent side of the hypotenuse of the right triangle = (Opposite side of angle of elevation) ÷ (Tangent of angle of elevation)

∴ Horizontal distance from the plane to the control tower = 13,100/(tan(12°)

Horizontal distance from the plane to the control tower = 61630.7 ft. to the nearest tenth of a foot.

Answer:

x = 4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

1.5(x + 4) - 3 = 4.5(x - 2)

1.5x + 6 - 3 = 4.5x - 9

1.5x - 4.5x = -9 - 6 + 3

-3x = -12

x = -12/-3

x = 4

Answer:

The answer is option 1.

Step-by-step explanation:

You have to cube root to both sides in order to find p :

[tex] {p}^{3} = 8[/tex]

[tex] \sqrt[3]{ {p}^{3} } = \sqrt[3]{8} [/tex]

[tex]p = \sqrt[3]{8} [/tex]

Answer:

percentage of decrease in price of house=103,500/115,000×100%=90%

Answer:

A a house in that market that sells for ​$300,000 is unusual.

Step-by-step explanation:

Let the random variable X denote the price of a house and the random variable Y denote the living area of a house.

The number of houses surveyed by the real estate agent is, n = 1057.

Assume that both the random  variables, X and Y are approximately normally distributed.

That is,

[tex]X\sim N(\$169400,\ \$68438)\\\\Y\sim N(2058\ \text{sq. ft.},\ 790\ \text{sq. ft.})[/tex]

To compute the probability of a Normal distribution we first need to convert the raw scores to z-scores.

[tex]z=\frac{\text{Raw score}-\mu}{\sigma}[/tex]

A z-score higher than 1.96 and lower than -1.96 are considered unusual. The values having these z-scores are considered as outliers.

(1)

Compute the z-score for X = 300000 as follows:

[tex]z=\frac{X-\mu}{\sigma}\\\\=\frac{300000-169400}{68438}\\\\=2.70[/tex]

(2)

Compute the z-score for Y = 3000 as follows:

[tex]z=\frac{Y-\mu}{\sigma}\\\\=\frac{3000-2058}{790}\\\\=1.19[/tex]

The z-score for a house in that market that sells for ​$300,000 is more than 1.96.

This implies, that the price $300,000 is unusually high.

The complete statement is:

The house that sells for ​$300 comma 000 has a​ z-score of 2.70 and the house with 3000 sq ft has a​ z-score of 1.19.

Answer:

60c

Step-by-step explanation:

15c(4)

15c*4=60c

If this wasn't how your problem was written please let me know

Answer:

B

Step-by-step explanation:

Try it -3 squared is 9 -4 squared is 16 , 9+16 = 25 so [tex]x^{2} +y^{2} =25[/tex]

Answer:

The answer is B

Step-by-step explanation:

If you look on your picture the circle is 5 on the y axis and -5 on the y axis. and is on 5 on the x axis and -5 on the x-axis makes it 5^2 which equals 25

So if you look on the attachment i provided you can see what i mean. I graphed all equations you had you can see what i mean

Answer:

2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16 and anything else after 16

Step-by-step explanation:

Answer:only Ivan

Step-by-step explanation:

Complete question is;

A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters. What is the lateral area of the pyramid?

Answer:

Lateral area = 80 cm²

Step-by-step explanation:

We are given;

Side length; a = 8 cm

Height of pyramid; h = 3 cm

Now, formula for Lateral area of pyramid = ½ × p × L

Where p is perimeter of base and L is slant length.

Since we know the side length and height of pyramid, we can find the slant height using Pythagoreas theorem.

L² = (½×side length)² + h²

L² = (½×8)² + 3²

L² = 16 + 9

L = √25

L = 5 cm

Now perimeter of square base = 4a = 4 x 8 = 32cm

So,

Lateral area = ½ × p × L = ½ × 32 × 5

Lateral area = 80 cm²

Answer:

80 square centimeters

Step-by-step explanation:

we need to find the hypotenuse or the slant height of the triangle so 3^2+4^2 = the square root of 25 = 5

We got 4 because half of 8 is 4 and we are basically cutting the triangle in half because the height (3) is perpendicular to the side length.

8(5)/2 = 20

20(4) = 80

Answer:

x=8

Step-by-step explanation:

4x+7x+2=90

11x=88

x=8

Answer:

N n W = {1,2,3,4}

N u W = {0,1,2,3,4,}

Step-by-step explanation:

N n W = {1,2,3,4}

N u W = {0,1,2,3,4,}

n - intersection means the common elements between N and W

U - represents all elements within N and W

Answer:

it is 0.35

Step-by-step explanation:

but is it not listed??

The equivalent decimal will be 0.35

In order to convert from fraction to decimal, we have to simlpy divide numerator by the denominator.

So according to asked question we have to convert 14/40 into equivalent decimal.

So we have just devide 14 by 40 whiuch will be 14÷40=0.35

Therefore, the equivalent decimal will be 0.35

Learn more about the conversion of fraction into a decimal

here: https://brainly.com/question/1306233

#SPJ2

Answer:

(2,-7)

Step-by-step explanation:

Reflection rule for across the x-axis: [tex](x,y)\rightarrow (x,-y)[/tex]

Using the rule and point (2,7):

[tex](2,7)\rightarrow(2,-7)[/tex]

(2,-7) should be the correct answer.

Brainilest Appreciated.

Answer:

$37

Step-by-step explanation:

To find the mean you add up all the numbers you are given and divide the result of that by the amount of numbers.

40+40+51+32+22=185

185/5=37

Answer:

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = $24.57  

    Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] $24.57

(b) The P-value of the test statistics is 0.1212.

(c) We conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries using P-value approach.

(d) We conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries using critical value approach.

Step-by-step explanation:

We are given that a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the U.S industries.

Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour.

Let [tex]\mu[/tex] = population mean hourly wage in the manufacturing industry.

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = $24.57     {means that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] $24.57     {means that the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the U.S industries}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                            T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean wage in the manufacturing industry = $23.89/hr

            σ = population standard deviation = $2.40/hr

            n = sample of employees from the manufacturing industry = 30

So, the test statistics  =  [tex]\frac{23.89-24.57}{\frac{2.40}{\sqrt{30} } }[/tex]

                                      =  -1.55

The value of z test statistics is -1.55.

(b) Now, the P-value of the test statistics is given by;

                P-value = P(Z < -1.55) = 1 - P(Z [tex]\leq[/tex] 1.55)

                              = 1 - 0.9394 = 0.0606

For two-tailed test P-value is calculated as = 0.0606 [tex]\times[/tex] 2 = 0.1212

Since, the P-value of the test statistics is higher than the level of significance as 0.1212 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries.

(d) Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries.

Answer:

17 will be answer .....

Step-by-step explanation:

He gets 374 miles on 22 gallons ....

Amounts of miles per gallon is 374÷22

= now divide it and answer will come 17 ........

Daniel gets the car 17 miles per gallon

The calculation can be done as follows

Daniel drives the car for 374 miles

He uses 22 gallons of gas

The miles per gallon can be calculated as follows

= 374/22

= 17

Hence the answer is 17 miles per gallon

Please see the link below for more information

https://brainly.com/question/22099933?referrer=searchResults