Tori invests $1,500 into the stock market which earns 9% per year. In 20 years, how much will Tori's investment be worth if interest is compounded semiannually (twice a year)?​

Explanation:

Step 1) Because this is already solved for y we can get the slope of the perpendicular line by taking the slope of the given line (-3) and "flipping" it and reversing the sign:

−3 becomes −−13→+13→13

Therefore the slope of the perpendicular line is 13

Step 2) Use the point slope for to find the perpendicular equation:

y−1=13(x−−1)

y−1=13(x+1)

y−1=13x+13

y−1+1=13x+13+1

y−0=13x+13+33

y=13x+43

y=(13)x+(43)

Explanation:

Answer:

C

Step-by-step explanation:

Answer:

-1<x<43

Step-by-step explanation:

Answer:

55 km/hr

Step-by-step explanation:

speed = distance / time

distance = 99 km

time = 1.8 hours

velocity = 99 km/ 1.8 hours= 55 km/hr

since distance is to the east, the velocity is also to the east

Answer:

b*34

Step-by-step explanation:

an expression does not include an equal sign but an equation does

Answer:

I would divide both sides by -3 then flip your sign since it is a multiplication equation in -3x which means you have to isolate it to find x.

Answer:

D

Step-by-step explanation:

You divide both sides by 3 and then you flip the sign.

Answer:

1686.67

Step-by-step explanation:

Answer:

35 degrees is the third angle's value.

Answer:

[tex]486[/tex] [tex]in^2[/tex]

Step-by-step explanation:

we know that

The surface area of the cube is equal to the area of its six square faces

so

[tex]SA=6b^2[/tex]

where

b is the length side of the cube

we have

[tex]b=9[/tex] [tex]in[/tex]

substitute

[tex]SA=6(9)^2=486 in^2[/tex]

The correct option is D the mean of set A is larger than the mean of set B.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Here in the the box and whisker plot data values are not marked and these based on five points so mean cannot be determined here because mean required marked values.

The mean formula is given as the average of all the observations. It is expressed as Mean = {Sum of Observation} ÷ {Total numbers of Observations}.

But here in box and whisker plot no actual values are known so we can't find the mean.

Hence mean cannot be determined here with that given data.

For more details on mean follow the link below:

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Answer:

[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} = - \infty[/tex]

General Formulas and Concepts:
Calculus

Limits

Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4}[/tex]

Step 2: Evaluate

Recall that infinity in the denominator converges to 0. Therefore, we can focus on the first part:
[tex]\displaystyle \begin{aligned}\lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} & = -4(\infty)^4 + \frac{1}{\infty} - \frac{1}{(\infty)^3} + \frac{7}{(\infty)^4} \\& = -4(\infty)^4 \\& = -4(\infty) \\& = \boxed{- \infty} \\\end{aligned}[/tex]

∴ we have found the limit to equal negative infinity.

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Answer: it is 205 I'm not sure if it's correct or not

Answer:

6

Step-by-step explanation:

On the fourth day, there were b^3 beads and 216 beads on the belt, which means b^3 = 216. Taking the cube root of both sides, we have b = 6, which means there were 6 beads on the belt on the first day.

Answer:

6

Step-by-step explanation:

Answer:

b none of these..........

Answer:

To graph rational functions:

[tex]\textsf{Asymptote} \implies (x+3)^2=0 \implies x=-3[/tex]

[tex](x+3)^2\geq 0 \implies f(x) > 0 \implies \textsf{asymptote}:y=0[/tex]

[tex]\textsf{y-intercept}\implies \dfrac{1}{(0+3)^2}=\dfrac{1}{9} \implies \left(0,\dfrac{1}{9}\right)[/tex]

[tex]\textsf{Factor denominator} \implies x^2+2x-3=(x-1)(x+3)[/tex]

[tex]\textsf{Asymptote} \implies x-1=0 \implies x=1[/tex]

[tex]\textsf{Asymptote} \implies x+3=0 \implies x=-3[/tex]

[tex]\textsf{x-intercept} \implies x+1=0 \implies x=-1 \implies (-1,0)[/tex]

[tex]\textsf{y-intercept}\implies \dfrac{0+1}{0^2+2(0)-3}=-\dfrac{1}{3} \implies \left(0,-\dfrac{1}{3}\right)[/tex]

[tex]\textsf{Asymptote} \implies x-2=0 \implies x=2[/tex]

[tex]\textsf{x-intercepts} \implies x^2-9=0 \implies x=\pm 3 \implies (-3,0)\:(3,0)[/tex]

[tex]\textsf{y-intercept}\implies \dfrac{0^2-9}{0-2}=\dfrac{-9}{-2}=4.5 \implies (0,4.5)[/tex]

The equivalent expressions are: (4 + m) + 1 = m + 5, (m + 3) + 1 = m + 4, (2 + m) + 6 = 2 + m + 6 and (1 + m) + 2 = m + 3

Equivalent expressions are expressions that have equal values when evaluated

Start by evaluating each expression.

(4 + m) + 1

Remove the bracket

(4 + m) + 1 = 4 + m + 1

Evaluate

(4 + m) + 1 = m + 5

(m + 3) + 1

Remove the bracket

(m + 3) + 1 = m + 3 + 1

Evaluate

(m + 3) + 1 = m + 4

(2 + m) + 6

Remove the bracket

(2 + m) + 6 = 2 + m + 6

Evaluate

(2 + m) + 6 = m + 8

(1 + m) + 2

Remove the bracket

(1 + m) + 2 = 1 + m + 2

Evaluate

(1 + m) + 2 = m + 3

Hence, the equivalent expressions are: (4 + m) + 1 = m + 5, (m + 3) + 1 = m + 4, (2 + m) + 6 = 2 + m + 6 and (1 + m) + 2 = m + 3

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Answer: See below

Step-by-step explanation:

Radius of the semicircle = 46/2 = 23 m

[tex]\therefore$ Area enclosed by the figure $=4 \times$ Area of semicircles + Area of square \begin{aligned} \\&=4 \times 3.14 \times(23)^{2} \times \frac{1}{2}+(46)^{2} \\&=3322.12+2116 \end{aligned} \\\\\\Area enclosed $=5438.12 \mathrm{~m}^{2}$[/tex]

So, Val might have have subtracted 2116 from 3322.12 instead of adding since 3322.12 - 2116 = 1206.12

Answer:

i think it is diameter

Step-by-step explanation:

if you are in England

Answer:

CHORD

Step-by-step explanation:

A chord of a circle is any line segment joining two points on the circumference of the circle

(Diameter is the longest chord of a circle which passes through the center of the circle)

Since this line does not pass through the center,this is a chord

Answer:

$1950.74

Step-by-step explanation:

step 1

x(1 + 0.06/12)^5=2000

step 2

x= 2000/(1 + 0.06/12)^5

= 1950.741337

Answer: 500

Step-by-step explanation:

formula for interest is

I= Principle x Rate x Time

2% as a decimal is 0.02

Your answer would be 1,409,240

you would mutpliy 0 and 9 first and keep mutpliying until you get your answer

Answer:

The answer is 1,409,240

Step-by-step explanation:

I asume you are doing this by hand so here are the steps:

1. set up the problem- whitch would look like this

 10066

x    140

Now you have to mutiply the 1s place, by all the number places of the top number

Sence you have a zero in the 1s place you can just put a x, whitch would look like:

 10066

x    140

         x

Now you do that for all the places

     2 2                   * Make sure you rase the number to the next place

 10066                  4*6 = 24        24+4= 28  4*0=0

x     140

 40284x

Now that you mutiplyed the 4 by everything and got the answer of 402840 (the x is just a zero) then you leave it aside and mutiply the 1s by everything whitch is much simpler.

   10066                   1*6= 6     1*0= 0    1*1 =1

x       140

10066xx           (now you put 2 X's)

You get the answer of 1006600 and you add it with 402840

whitch is 1,409,240 (and that is your answer)

Answer:

Si, es muy bueno!

Step-by-step explanation:

Step-by-step explanation:

the first video man and share with you search the Internet resources to help you find the best service providers to get your free and

Answer:

dy/dx = x + ¼

Step-by-step explanation:

Using differentiation to find the given value,

[tex]y = \frac{1}{2} {x}^{2} + \frac{1}{4} x + \frac{1}{8} \\ \frac{dy}{dx} = 2(\frac{1}{2}) {x}^{2 - 1} + 1(\frac{1}{4} ) {x}^{1 - 1} + 0 \\ = x + \frac{1}{4} [/tex]

Answer: f(-4)=-4f

f(-3)=-3f

B.

Step-by-step explanation:

Answer:

The Answer is C

Step-by-step explanation:

Anna draws a angle that intercets at 1

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The exact number of points at which the two rays will intersect is 1. The correct option is C.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

As per the definition of an angle, the point at which the two of the given rays will intersect each other is exactly 1 point.

Hence, the exact number of points at which the two rays will intersect is 1.

Learn more about Angle here:

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Answer:

Because The Flowers Bennie drew are independent

Answer:

0.829

Step-by-step explanation:

Answer: Approximately 137.74977 square units

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Explanation:

We can use Heron's formula to find the area of a triangle when given all three sides.

First we need the semiperimeter

s = semiperimeter

s = (perimeter)/2

s = (a+b+c)/2

s = (28+28+10)/2

s = 33

Now we can compute the area of the triangle.

[tex]A = \sqrt{s(s-a)(s-b)(s-c)}\\\\A = \sqrt{33(33-28)(33-28)(33-10)}\\\\A = \sqrt{18975}\\\\A \approx 137.74977\\\\[/tex]

Answer:

768000

Step-by-step explanation:

From 1900 to 2020 = 120 means that it doubles 4 times ( once every 30 years)

=> 48000 * 2 ^ 4 = 768000

Answer:

To find this you do 5 x 0.75

0.75 represents the amount of girls that represent colored jeans

So the answer is 3.75

Step-by-step explanation:

Hope this helps!