Use the compound interest formulas A = P1+
and A = Pert to solve.
Suppose that you have $11,000 to invest. Which investment yields the greater return over 9 years: 7.5% compounded
continuously or 7.6% compounded semiannually?

Answer:

A common factor is a whole number which is a factor of two or more numbers.

[tex]factors \: of \: 9 = 1 \times 3 \times 3[/tex]

[tex]factors \: of \: 15 = 1 \times 3 \times 5[/tex]

since both of the numbers have only 1 and 3 in common.

therefore ,

Option A is correct.

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Additional information

★ The highest common factor (HCF) is the greatest factor that will divide into two or more numbers.

★ The lowest common multiple (LCM) is the smallest multiple that is common to two or more numbers.

hope helpful :D

Answer:

(2, 4)

Step-by-step explanation:

All you have to do is hop up 10 units on the grid from point P. 10 units up from -6 is 4. Therefore, your answer is (2, 4).

I hope this helps! Have a lovely day!! :)

Answer:

i belive its c

Step-by-step explanation:

you are shifting up 5 squares so you arrive at (2,4)

It depends on what the level of significance (alpha) is.

Since alpha is not stated, I'll assume that alpha = 0.05 by default.

Because the p-value is smaller than alpha, we reject the null hypothesis.

Therefore, we conclude that the alternative hypothesis is correct and the proportion of heads is greater than 0.5

Answer:

r = 24.3/π  m

r = 7.73 m

Step-by-step explanation:

C = 2πr

48.6 m = 2 × π × r

r = 48.6/(2π)  m

r = 24.3/π  m

r = 7.73 m

Answer: The answer is simply O

Step-by-step explanation: In this algebraic problems is very common to find an answer like that since you step to step process is basically canceling out the terms. We make disappear X and Y because that’s gonna count as a 1 unit value so don’t write x and y. It’s only 0

Answer:

The 3rd equation, -2x-10 = -2(x+5)

Step-by-step explanation:

Equivalent expressions means both sides of the equal sign equal the same thing

To find which ones are equivalent expressions, we must solve/simplify both sides of each equation to see if they're actually equal to each other

We will use PEMDAS for this

1. 2x + 10 = -2(x - 5)

Start with Parentheses, and distribute the -2 to what's inside said parentheses

2x + 10 = -2x + 10

Not equal

2. -2(x+5) = 2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = 2x - 10

Not equal

3. -2x-10 = -2(x+5)

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = -2x - 10

Equal

4. -2(x-5) = -2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x + 10 = -2x - 10

Not equal

Answer:

66.0°

Step-by-step explanation:

The sum of the measures of the interior angles in a triangle is 180°.

Let "x" represent the measure of the third interior angle. We can use this to set up an equation:

84.0° + 30.0° + x = 180°

Add like terms:

114.0° + x = 180°

Subtract 114.0° from both sides:

x = 66°

The question asks for the answer to be in degrees to one decimal place, therefore:

x=66.0°

Answer:

Option C .

Step-by-step explanation:

We would like to solve the below quadratic equation ,

[tex]\longrightarrow f(x) = x^2-12x +32 [/tex]

Step 1 : Equate f(x) with 0 :-

[tex]\longrightarrow f(x) = 0\\[/tex]

[tex]\longrightarrow x^2-12x + 32=0[/tex]

Step 2 : Factorise the RHS :-

[tex]\longrightarrow x^2-8x - 4x +32=0\\[/tex]

[tex]\longrightarrow x(x-8)-4(x-8)=0\\[/tex]

[tex]\longrightarrow (x-8)(x-4)=0\\[/tex]

Step 3 : Equate each factor with 0 :-

[tex]\longrightarrow x - 8 = 0\\ \qquad x -4=0 [/tex]

[tex]\longrightarrow x = 8 \qquad x = 4 [/tex]

[tex]\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}[/tex]

Hence option C is correct .

Answer:

B) B

Step-by-step explanation:

       In this case, the first partial product will be 2 * 5 which is 10. The only option that shows this is option B, so this is our answer.

       We can also check the answers as a whole,

2 * 5 = 10

80 * 5= 400

400 + 1 = 410

       Again, only option B gives us this. This is means that option B is our answer.

Answer:

B

Step-by-step explanation:

82

5

--

5 x 2 = 0 (carry 1)

5 x 8 + 1 = 1 (carry 4 to bottom)

Hey there!

Answer: [tex] \Rightarrow \boxed{\sf{x = 25}}[/tex]

[tex] \rightarrow \sf{ \frac{x}{20} = \frac{30}{24} }[/tex]

[tex] \rightarrow \: \boxed{ \sf{24x = 600}}[/tex]

[tex] \rightarrow \: \boxed{ \sf{ \frac{24x}{24} = \frac{600}{24}}} [/tex]

[tex] \rightarrow \boxed{ \bold{\sf{ x = 25}}}[/tex]

Hopes this helps

Answer:

From the ratio

The difference is 9 - 5 = 4

Hence Trisha has 4 units more than Nathan and this resulted to 16800

Therefore 1 unit will be

16800 / 4 = 4200

Nathan’s salary is 5 units

5 * 4200 = 21000

Answer:

C. 51

Step-by-step explanation:

For Square:

Length x Height

7 x 6 = 42

For Triangle:

Base x Height x 1/2

(6x3)1/2 = 9

42 + 9 = 51

Answer:

d and a

Step-by-step explanation:

an acute is an angle less than 90 degrees. a 90 degree angle is a right angle (klm) the only 2 angles smaller than (klm) are (gfe) and (dba)

Answer:

length= 1115 inches

width= 545 inches

Step-by-step explanation:

The perimeter of the rectangular rug is the sum of the lengths of all its sides.

Start by defining the variables that we are going to use throughout our working.

Let the length and the width of the rug be L and W inches respectively.

Perimeter= 2(L +W)

Given that the length is 25 inches more than twice the width,

L= 2W +25 -----(1)

3320= 2(2W +25 +W)

Divide both sides by 2:

1660= 2W +W +25

1660= 3W +25

3W= 1660 -25

3W= 1635

Divide both sides by 3:

W= 1635 ÷3

W= 545

Substitute W= 545 into (1):

L= 2(545) +25

L= 1115

Thus, the length and width of the rug is 1115 and 545 inches respectively.

Answer:

6.46 seconds

Step-by-step explanation:

[tex] - 16 {t}^{2} + 65t + 248 = 0[/tex]

[tex]t = 6.46[/tex]

Answer:

Step-by-step explanation:

85+45+6

136

this is solution ...

Answer:

Circumcenter

Step-by-step explanation:

The center that is created by intersection of the three perpendicular bisectors of your triangle sides.

Answer:

99 points

Step-by-step explanation:

total of scores of 4 tests = 88 + 84 + 88 + 91 = 351

5 tests with an average score of 90:

⇒ total of scores = 5 × 90 = 450

Lowest score of 5th test = 450 - 351 = 99 points

Answer:

99 points

points scored:

88 points , 84 points, 88 points , 91 points, let the fifth test points be "n"

[tex]\sf \rightarrow \dfrac{88 +84+88+91+n}{5} =90[/tex]

[tex]\sf \rightarrow 351+n =90 (5)[/tex]

[tex]\sf \rightarrow n =450-351[/tex]

[tex]\rightarrow \sf n = 99[/tex]

Answer:

at first write the equation in correct order y=Mx+b. 2y=5x=10

y= 5x/2+5.

Step-by-step explanation:

the slope is 5/2. as we know slope is rise over run. so you go up 5 units and go right 2 unit.

the graph picture is added below click on the PNG. hope it helps. have a great day.

The expected count of visits is the mean or average visits to each feeder

The expected count of visits to the third feeder is 87.5

The table of values is given as:

Feeder                 1   2    3   4

Observed visits 80 90 92 88

In this case, the null hypothesis implies that the visits to each feeder are uniformly distributed

So, the expected count is calculated using:

Expected count =Visits/Feeders

This gives

Expected count = 350/4

Evaluate the quotient

Expected count = 87.50

Hence, the expected count of visits to the third feeder is 87.5

Read more about chi square goodness of fit test at:

https://brainly.com/question/4543358

The distance between the two points is 93.9 units

The formula for calculating the distance between two points is expressed as:

[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Given the coordinate points (0, 0) and (40, 85). The distance between the points is expressed as:

[tex]D=\sqrt{(85-0)^2+(40-0)^2}\\D=\sqrt{7225+1600}\\D=93.9 units[/tex]

Hence the distance between the two points is 93.9 units

Learn more on distance between two points here: https://brainly.com/question/23848540

Answer:89.4

Step-by-step explanation:

Answer:

Light

Step-by-step explanation:

Light can travel approximately 186,000 miles per second so the answer we are looking for in here is light.

Answer:

Step-by-step explanation:

The dimensions of the rectangle that would have a value of 14/32 inches square are a length of 2/16 and a width of 31/2 inches.

A rectangle is a 2-dimensional quadrilateral with four right angles that has a value of 360 degrees. It has two diagonals that bisect each other.

Area of a rectangle = length x width

2/16 x 7/2 = 14/32

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

Answer:

C

Step-by-step explanation:

the answer is C

( -6 , 1 )

y = -1/2x - 2

if x = -6

y = -1/2(-6) - 2

y = 3 - 2

y = 1