Nancy wants to receive the most return on a $50,000 investment. She has two options. Option 1 gives annual interest at 5% compounded yearly. Option 2 gives annual interest at 3.5% compounded monthly. Which option is better after 3 years, and what is the difference in earned interest? 1Option 2 earns more interest by $3,581.52. Option 2 earns more interest by $2,396.13. Option 1 earns more interest by $2,396.13. Option 1 earns more interest by $3,581.52.

Answer:

Hopeiit helped...

Please mark as brainliest...thanks!!!

Thanks!!!!!!!!!!!!

Step-by-step explanation:

Distance formula. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

The Distance Formula is a variant of the Pythagorean Theorem that you used back in geometry. Here's how we get from the one to the other:

Suppose you're given the two points (–2, 1) and (1, 5), and they want you to find out how far apart they are.

You can draw in the lines that form a right-angled triangle, using these points as two of the corners:

It's easy to find the lengths of the horizontal and vertical sides of the right triangle: just subtract the x-values and the y-values:

Then use the Pythagorean Theorem to find the length of the third side (which is the hypotenuse of the right triangle):

This format always holds true. Given two points, you can always plot them, draw the right triangle, and then find the length of the hypotenuse. The length of the hypotenuse is the distance between the two points. Since this format always works, it can be turned into a formula:

Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance d between these points is given by the formula:  d=√((x_2-x_1)²+(y_2-y_1)²)

Credits:

Distance formula | Analytic geometry (video) | Khan Academy

Purple Math

Answer:

This is a numerical expression or D.

Step-by-step explanation:

It is not algebraic because it doesn't include unknown variables such as x or y

and it is not a numerical equation because equations have equal signs in them such as 5 + 6 = 11

Answer:

it is a numerical expression

Step-by-step explanation:

it is not an algebraic equation because there are no variables say, p or q or any other variables attached or unattached to its coefficients. And no equal sign attached to it.

it is not an algebraic expression.

it is not a numerical equation because it has no equal sign neither is it equating itself to another.

finally, it is a numerical expression because it only consists of numbers and has no equal sign. Or it is not equating to any other solution.

The Answer is A. 6.67 in

Step-by-step explanation:

Given : The aspect ratio of a rectangular shape is its length divided by its width (L/W).

Let's Make  'L'  to be the length of the rectangular shaped chalkboard.

If  the aspect ratio of a chalkboard is 4:3 and the width is 5 in then we have To Multiply 5 on each side , we get the length of the chalkboard = 6.67 in.

Please Mark As Brainlist C:

Thanks

Bacon Hair

Answer:D is the answer

Answer:

x^2+9x+20

Step-by-step explanation:

Answer:

ΔABC ≅ ΔFED

Explanation:

Look at the alignment and position of the letters.

A = F

B = E

C = D

Properly align the letters in order to their corresponding position.

ΔA ≅ ΔF

ΔAB ≅ ΔFE

ΔABC ≅ ΔFED

Answer:

[tex]I=\frac{P}{V}[/tex]

Step-by-step explanation:

We are given the equation [tex]P=I*V[/tex], and we need to solve the equation for [tex]I[/tex]. Solving an equation for a variable means that we manipulate the equation so it is in the form (variable being solved for) = ?, where the ? is any expression.

To solve for [tex]I[/tex], we need to isolate the variable. This is the process of getting the equation into the form mentioned above by essentially getting all [tex]I[/tex] terms on one side and all [tex]\text non-I[/tex] terms on the other side.

In this case, we need to "get rid" of the [tex]V[/tex] from the right-hand side (RHS). Notice that it is being multiplied by the variable we are solving for. Therefore, to remove it from the RHS, we will need to perform the opposite operation, which is division. We will use what's called the Division Property of Equality to do this, which states that in order to maintain equality, you need to divide both sides of an equation by the same number.

Dividing both sides by [tex]V[/tex], we get:

[tex]P=I*V[/tex]

[tex]\frac{P}{V}=\frac{I*V}{V}[/tex]

[tex]\frac{P}{V} = I[/tex] (simplify RHS)

[tex]\bf I=\frac{P}{V}[/tex] (this uses the Symmetric Property of Equality - if a = b then b = a)

For more practice with solving literal equations, check out the following questions:

Answer:

SV = 41 units

QT = 21 units

Step-by-step explanation:

Please refer to the attached figure.

It is given that line segment TV has a perpendicular bisector as line N which intersects on line on TV at point R.

So, TR = RV

We are given that:

[tex]RV = 3 x + 2\\QV = 4 x + 1\\TS =9 x -4 \\TR = 17\ units[/tex]

Comparing the values of TR and RV:

[tex]3x +2=17\\\Rightarrow x = 5[/tex]

We can easily observe that due to the nature of the construction of this figure there is symmetry present.

As a result, we can draw the following conclusions:

1. [tex]QT = QV = 4x+1\\[/tex]

Putting value [tex]x=5[/tex]:

[tex]QT = 4\times 5+1\\\Rightarrow QT =21\ units[/tex]

2. [tex]TS =SV = 9x-4[/tex]

Putting value [tex]x=5[/tex]:

[tex]\Rightarrow SV = 9 \times 5-4\\\Rightarrow SV = 41\ units[/tex]

Hence the values are:

SV = 41 units

QT = 21 units

Answer:

41,21

Step-by-step explanation:

Answer:

If he spent 10 hours one week and 11 hours the next, it is correct that he spent 110% more time.

Step-by-step explanation:

Now it would actually be 10% but the way this question is asked here is why it would be 110%.

Answer:

$3600

Step-by-step explanation:

To find the total budget, you need to divide the amount money for the mortgage payment by the percentage is is of the budget.

21% = 0.21

756/0.21 = 3600

$3600 is the total family budget.

Answer:

yes

Step-by-step explanation:

Answer:

yesssssssssssss

Step-by-step explanation:

Answer:

all work pictured and shown

Answer:

y- intercept --> Location on graph where input is zero

f(x) < 0         --> Intervals of the domain where the graph is below the x-axis

x- intercept --> Location on graph where output is zero

f(x) > 0         --> Intervals of the domain where the graph is above the x-axis

Step-by-step explanation:

Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.

f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.

X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.

f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.

Answer: b 96 plus 160 cm

Step-by-step explanation:

Answer:

B. (96π + 160) cm2

Step-by-step explanation:

right on edge

Answer:

The answer is true

Step-by-step explanation:

Answer:

Mean: 16; Mode: 15

Step-by-step explanation:

I did it.

Answer:

I think the mean is 16.

The mode is 15 because it is the most seen number in the data set.

Step-by-step explanation:

Add then divide for the mean (add all numbers, then divide by how many numbers there are).

The mode is the one that you see the most.

Hope this helps guys!

a2+b2=25

or, (a+b)^2-2ab=25

or, (7)^2-2ab=25 [a+b=7]

or, 49-25=2ab

or, 24/2=an

•°• ab=12....

Answer:

[tex]1+2\sqrt{2}[/tex] seconds

Step-by-step explanation:

When the ball hits the ground, its height will obviously be 0. Therefore, you can set up the equation the following way:

[tex]0=-5t^2+10t+35 \\\\-5(t^2-2t-7)=0[/tex]

Plugging this into the quadratic equation, you get:

[tex]t=\dfrac{2\pm\sqrt{4+28}}{2}= \\\\\dfrac{2\pm4\sqrt{2}}{2}= \\\\1\pm2\sqrt{2}[/tex]

Since the time must be positive, it takes the ball [tex]1+2\sqrt{2}[/tex] seconds to hit the ground, or around 3.828. Hope this helps!

Answer:

0.779

Step-by-step explanation:

1(58)+2(24)+3(8)+4(39)=286

286/367=0.779

PLS GIVE BRAINLIEST!!!

Answer:

x = 10

Step-by-step explanation:

cos 45 = 5[tex]\sqrt{2}[/tex] / x

x = 5[tex]\sqrt{2}[/tex] / cos 45, cos 45 = [tex]\sqrt{2}[/tex] / 2

x = 10

explanation

change the improper fraction to proper fraction that is 2×5+2=12/5

2/3x= 12/5. (multiply both sides by the LCM of the denominators)that is by 15

2/3x×15=12/5×15 =

10x=36(divide both sides by 10)

x=3.6

answer

x=3.6

Answer:

Points (-4,0) and (5,0) will lie on the x axis.

Step-by-step explanation:

To know if a point lies on the x axis, the y - value of a coordinate will always be zero. Here is the graph below:

Answer: Outside of the circle

Step-by-step explanation:

Because its bigger than the number

inside so it cant me a or b

so the answer is C because its outside of the points

Hope this helps :)

The answer is A

If you plot them on a graphing calculator you can see that the diameter is around 9ish. So point J is inside the circle.

Answer: It means find the slope of each line.

Step-by-step explanation:

A is the line that runs from 0,-6 to 5,14 This is tricky because the scale of the y-axis is twice the value of the x-axis. So what looks like a slope (gradient) of +2 is actually +4. Figure the difference in y-values divided by the difference in x-values.

Same for line B.

I used 0 - 14 for the rise, and 4 -(-3) for the run. 7/-14 makes that slope a -2. That's negative two, not the apparent negative one!

Answer:

The missing number is 16.

Step-by-step explanation:

The ratio between x and y is 1:4. 4 times 4 is 16. Hope this helped! :)

Answer:

Here is your answer for everyone Hope this helps

Step-by-step explanation:

So the first answer would be 16 for the missing gap then for Some of the graph is shown the graph shows LINEAR Growth which i got it wrong because i suck at guessing lol! then the last gap which i got wrong again is 24!

where it says what is the value of y would be associated with x = 6

1. 16!

2. linear growth!

3. 24!

Answer:

16088

Step-by-step explanation:

Add the base price and the destination charge

15499+589

16088

Answer:

it is 16088

Step-by-step explanation:

$15,499+589=16088 You just Add it

Answer:

1c 2b

Step-by-step explanation:

Answer:

1c 2b

Step-by-step explanation:

Answer:

a^32

Step-by-step explanation:

(а^8)^4

We know that x^y^x = x^(y*z)

(а^8)^4 = a^(8*4) = a^32

Hey!!!!

Here's your answer:

(a^8)^4

=a^8*4

=a^32

Here, just we have to multiply the powers.

Hope it helps...

Good luck on your assignment

Answer:

Step-by-step explanation:

First look at the tangent function f(x) = tan x.  Its domain is restricted:  (-pi/2, pi/2).  There are no restrictions on the function value, so the range is (-infinity, +infinity).  The primary interval on which tan x is defined is (-pi/2, +pi/2, which has length pi.

In comparison, the domain of f(x) = tan 2x is only half as long as that of f(x) = tan x:  (-pi/4, +pi/4), with length pi/2.

Now, focusing on f(x) = 3cot(2x):  the range is the same:  (-infinity, +infinity).  The period is half that of tan x:  pi/2 instead of pi.  Remember that the cotangent function repeats itself every pi/2 radians.

Domain:  (-pi/4, +pi/4) (centered on the origin), (-3pi/4. 3pi/4), and so on, continuing to both the left and the right.

Range:  (-infinity, infinity)