Your investment adviser tells you that Acme Widgets has a 40% chance of increasing your investment by $10,000, and Gimbles Stuff has a 30% chance of increasing your investment by $15,000. Which has the higher Expected Value?

1 year = 12 months.

30 years x 12 months per year = 360 total months

Multiply total months by monthly payment:

360 months x 1,073.21 per month = $386,355.60 total monthly payments for 30 years.

Now add the down payment to the total monthly amount:

$386,355.60 + $45,000 = $431,355.60

Total amount paid: $431,355.60

Answer:

A

Step-by-step explanation:

1/1679616 or 5.9537418 times 10 to the power of -7

Answer:

First term is 15

Step-by-step explanation:

Given data:

[tex]a_{7} =3\\d=-2[/tex]

Now,

[tex]a+6d=3.....(1)\\a_{n} =a+(n-1)d\\\\\\From equation (1)\\a+6(-2)=3\\a-12=3\\a=12+3\\a=15[/tex]

Therefore first term a =15

Correct option is (c)

[tex]\huge\bold{Given:}[/tex]

Length of the perpendicular "[tex]a[/tex]" = 5.

Length of the hypotenuse "[tex]c[/tex]" = 12.

[tex]\huge\bold{To\:find:}[/tex]

The length of the missing side ''[tex]b[/tex]".

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

The length of the missing side (base) "[tex]b[/tex]" is [tex]\boxed{√119}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢ {a}^{2} + {b}^{2} = {c}^{2} \\\\ ⇢ {5}^{2} + {b}^{2} = {12}^{2} \\ \\⇢25 + {b}^{2} = 144 \\ \\⇢ {b}^{2} = 144 - 25 \\ \\⇢ {b}^{2} = 119 \\ \\⇢b = \sqrt{119} [/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"b"\:is\:√119.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex] {5}^{2} + { \sqrt{119} }^{2} = {12}^{2} \\\\ ⇝25 + 119 = 144 \\ \\⇝144 = 144 \\ \\⇝L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

150 mL

Step-by-step explanation:

270 - 120 = 150

Hope this helps!

Answer:

First side is: 12cm

Second side is: 36cm

Third side is: 16cm

Step-by-step explanation:

Let x represent the shorter side

Then 3x represents the second side, and

x + 4 represents the third side.

Perimeter of three sides:

P = x + 3x + (x + 4)

Perimeter is 64, so

64 = x + 3x + (x + 4)

64 = 5x + 4

60 = 5x

12 = x

First side is x: 12cm

Second side is 3x: 3(12) = 36cm

Third side is x + 4: 12 + 4 = 16cm

Answer:

x2 + 7x + 12 = 0

Step-by-step explanation:

(x + 4) (x + 3)

x + 4 = 0 or x + 3 = 0

x = - 4 or x = - 3

Answer:

y + 7 = -13/6(x-8)

and

y + 1 = -13/6(x+5)

Step-by-step explanation:

1. Find the slope using [tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex].

-5-8/-1+7 = -13/6

2. Plug the slope into the point-slope form, [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex].

y - y1 = -13/6(x-x1)

3. Plug in one of the points to get the answer.

y + 7 = -13/6(x-8)

y + 1 = -13/6(x+5)

Step-by-step explanation:

the answer is in the above image

Answer:

The measure of the first angle is 50°.

Step-by-step explanation:

Let the three angles be a, b, and c.

The measure of the first angle is twice the measure of the second angle. In other words:

[tex]a=2b[/tex]

The measure of the third angle is 80° more than the measure of the second angle. In other words:

[tex]c=b+80[/tex]

And since the interior angles of a triangle must equal 180°:

[tex]a+b+c=180[/tex]

Substitute a and c:

[tex](2b)+b+(b+80)=180[/tex]

Combine like terms:

[tex]4b+80=180[/tex]

Subtract 80 from both sides:

[tex]4b=100[/tex]

And divide both sides by four:

[tex]b=25^\circ[/tex]

So, the measure of the second angle is 25°.

Since the measure of the first is twice the second, the measure of the first angle is 50°.

(And since the measure of the third is 80° than the second, the measure of the third angle is 105°.)

From the graph,

f(-2) = 0

and, g(-2) = 0

(ƒ − g)(−2)= f(-2)-g(-2) = 0

OPTION B is the correct answer

Answer:

first hust rotate 180 and next reflect it over x axis.

the given point (-7,3) id in second quadrant but after rotation it will be in fourth quadrant.

afterwards you have to refect that point over x-axis which gives you the image of the points on first quadrant ie. (7,1).

Answer:

The answer would be C. 5 Hours

Step-by-step explanation:

Hopes this helps and good luck :)

Answer:

73

Step-by-step explanation:

I don't think this needs an explanation

Answer:

73

Step-by-step explanation:

72.8

8 is greater than or equal to 5, so we round up.

72.8 ≈ 73

Hope this helps.

Answer:

Decimal expansion of 1/5 = 0.2

Answer:

8a+8+3x

Step-by-step explanation:

Just plus them! Nothing so harsh

Answer:

6a + 6 + 3x-2 + 2a +4=

= 6a +2a+3x+6-2+4=

= 8a+3x+8

Step-by-step explanation:

1. remove the () since the actions within them cannot be solved.

2.find the sum

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

We want to find the solution to the equation:

[tex]3x-5+2x=25[/tex]

Rearrange:

[tex](3x+2x)-5=25[/tex]

Combine like terms:

[tex]5x-5=25[/tex]

We can add five to both sides:

[tex]5x=30[/tex]

And divide both sides by five. Therefore:

[tex]x=6[/tex]

Answer:

x = 6

Step-by-step explanation:

First, combine like terms. Like terms are terms that have the same amount of like variables:

3x - 5 + 2x = 25

(3x + 2x) - 5 = 25

5x - 5 = 25

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 5 to both sides of the equation:

5x - 5 = 25

5x - 5 (+5) = 25 (+5)

5x = 25 + 5

5x = 30

Next, isolate the x by dividing 5 from both sides of the equation:

(5x)/5 = (30)/5

x = 30/5

x = 6

x = 6 is your solution.

~

Answer:

1. An Experimental

2. Dependent

3. Independent

Step-by-step explanation:

Considering the description of how the research was carried out, it can be concluded that This study is an example of AN EXPERIMENTAL study. This because the researcher is trying to study the effectiveness of a new drug for lowering cholesterol

The difference in cholesterol level is the DEPENDENT variable. This is because the difference in cholesterol level is what the researcher wants to determine.

The treatment with a drug or placebo is the INDEPENDENT variable. This is because this is what the researcher manipulates to determine the difference in cholesterol level which is the dependent variable in this experimental study.

Answer:

[tex]-\frac{11}{12}[/tex]

Step-by-step explanation:

[tex](\frac{5}{8}+ \frac{3}{4} )/(-\frac{2}{3} -\frac{5}{6})[/tex]

8 = 2 × 2 × 2

4 = 2 × 2

LCM = 2 × 2 × 2

LCM = 8

3 = 3 × 1

6 = 2 × 3

LCM = 2 × 3 × 1

LCM = 6

[tex](\frac{5}{8}+ \frac{2(3)}{2(4)} )/(-\frac{2(2)}{2(3)} -\frac{5}{6})[/tex]

[tex](\frac{5}{8}+ \frac{6}{8} )/(-\frac{4}{6} -\frac{5}{6})[/tex]

[tex]\frac{11}{8}/(-\frac{4}{6} -\frac{5}{6})[/tex]

[tex]\frac{11}{8}/-\frac{9}{6}[/tex]

[tex]\frac{11}{8}(-\frac{6}{9})[/tex]

[tex]-\frac{66}{72}[/tex]

66 = 2 × 3 × 11

72 = 2 × 2 × 2 × 3 × 3

GCF = 2 × 3

GCF = 6

[tex]-\frac{66/6}{72/6}[/tex]

[tex]-\frac{11}{12}[/tex]

Answer:12

Step-by-step explanation:cumquat

Answer:

d. all of the above

Step-by-step explanation:

_______

Answer:

desmos(dot)com/calculator/gv8jsoui4w

Step-by-step explanation:

Create a table of appropriate x values e.g. x = 2 and substitute into y=3x which will be y=3*2 meaning y=6 at the point x=2. Repeat with different x values until you have enough points to draw a straight line.

Answer:

3/10

Step-by-step explanation:

Find the LCM of 5 and 2.

LCM = 10

[tex]\frac{4}{5} - \frac{1}{2} = \frac{8 - 5}{10} = \frac{3}{10}[/tex]

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

5 = 5 × 1

2 = 2 × 1

LCM = 2 × 5

10

[tex]\frac{2(4)}{2(5)} -\frac{5(1)}{5(2)}[/tex]

[tex]\frac{8}{10} -\frac{5}{10}[/tex]

[tex]\frac{3}{10}[/tex]

Answer:

a. 36.25 ft

b. 45 ft

Step-by-step explanation:

GIVE YOUR ANSWER IN FEET !!! as the problem statement says.

not in inches. when you use the scale factor with inches, you get inches as result. then you need to convert them to feet.

how many inches in 1 ft ?

12 !

so, you need to divide your results by 12 to get the feet.

9514 1404 393

Answer:

  yes

Step-by-step explanation:

By the "rule of 72", the amount will be doubled in 72/I years, where I is the annual interest rate in percent. That is, it can be estimated to take 72/4 = 18 years to double the $240 investment to $480. It would take another 18 years to double it again to $960. So, to achieve a balance of $1500 will be expected to take more than 36 years. The only reasonable answer choice is the one you have selected.

__

The exact solution is ...

  log (1500/240)/log(1 +0.04) ≈ 46.72 years ≈ 47 years.

Answer:

A

Step-by-step explanation:

to find the inverse, there are two steps

1-interchange x and y

2-solve for y

so y=x+1/x

interchange to get x=y+1/y

and solving for y we multiply both sides by y to get xy=y+1

subtract both sides by y yielding xy-y=1

factor out y to get y(x-1)=1

then divide to get y=1/x-1

Answer:

v = 9 because it is what would make a great answer

Step-by-step explanation:

the angles are supplementary, meaning it sums up to 180 degrees

so to find v, you have to find the total angle of v.

180- 105 equals 8v+3, or 75 equals 8v+3

subtract 75 with 3 leaving 72 equals 8v

v would equal 9

Answer:

2- x=16/3 or 5.3

4- x=8

Step-by-step explanation:

yeah