Mathematics High School

How much would $300 invested at 4% interest compounded monthly be worth after 8 years? Round your answer to the nearest cent.

here's the equation: A(t)=P(1+r/n)^nt

i just don't know what to put where please help,

Answers

Answer 1

The equation you have provided is correct:

A(t)=P(1+r/n)^nt

Where P = principal amount

              r = interest rate

              n = number of times the amount is compounded in a year

              t = time in years

The value of n is 12 since it is compounded monthly.

Substituting the amount to the formula:

A(t) = $300 ( 1 + 4%/12)^(12)(8)

A(t) = $300 (1 + 0.003333)^96

A(t) = $300 (1.376351)

A(t) = $412.91

Related Questions

helppppppppppppppppppp

Answers

we have that
g(x)=(3^x)-2
f(x)=(3^x)

using a graph tool
see the attached figure

the answer is  the option D
the graphic of G(x) is a translation of f(x) 2 units down

Jade buys a blouse and a skirt for 34 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Enter your answer in the box.

Answers

The original cost of the skirt was $39.71.

This can be found by first calculating what the total cost of the items was originally. Since you spent $31.50 on items at 34% of their original price, the total cost can be found by dividing the new total by the percentage.

$31.50/.34 = $92.65.

Now we need to find the original price of the blouse. We repeat the same action with the $18 and the percentage.

$18/.34 = $52.94.

Now we can subtract the original cost of the blouse from the original cost of both items.

$92.65-$52.94 = $31.71.

Answer:

The original price of the skirt is $24

Step-by-step explanation:

The question must be 3/4 of their original price. So, I will solve this using 3/4 as 34 is unclear and does not suit the question.

Lets assume that the price of the blouse be = x

Lets say the price of the skirt is = y

Now, given is that 3/4 of the price together for both items is $31.5 0

This means,

[tex]\frac{3}{4}(x+y)=31.50[/tex]  ..... (1)

The original price of the blouse is $18 so, x= 18 .............(2)

Putting x=18 in equation (1)

[tex]\frac{3}{4}(18+y)=31.50[/tex]

[tex]3(18+y)=31.50*4[/tex]

[tex]3y+54=126[/tex]

[tex]3y=72[/tex]

y=24

Hence, the original price of the skirt is = $24.

Check:

Original price of both items = [tex]18+24=42[/tex]

And 3/4 of 42 is [tex]\frac{3}{4}*42= 31.50[/tex]

So, the correct answer is $24.

At the end of the first round in a quiz show, Jeremy has at most negative 20 points. Write an inequality that means “at most negative 20.”

Answers

The inequality would be x < -20 points, where x represents his number of points. The words "at most "mean that he can have up to and including -20 points.  If we read this inequality, it tells us that the number of points he has is less or equal to -20 which is the same thing as saying "at the most" -20 points.

An object is traveling around a circle with a radius of 10 cm. If in 20 seconds a central angle of 1/3 radian is swept out, what is the linear speed of the object?

I think I've set my formula up right (v=Δ20/Δ1/3 radian), but I don't know what to do with the Δ thing. Once I know how to do that I should be able to like, actually figure it out.

Answers

Usually, Δ stands for a difference: if you have two quantities a₂ and a₁, their difference a₂-a₁ can be shortened as Δa.

This said, your formula is not set up correctly: the linear speed can be found with the formula:
v = ω·r
where r is the radius and ω is the angular frequency, which is given by:
ω = Δα / Δt
Substituting this into the one above, you find the correct formula:
v = (Δα / Δt) · r

The problem gives you directly Δα, which is 1/3 rad, because does not say at what angle the point started moving and at what angle it stopped.
Similarly, for the time you have Δt, which is 20 s.

Therefore, plugging in the numbers you get:
v = (Δα / Δt) · r = (1/3 ÷ 20) × 10 = 1/6 = 0.167 cm/s




Which absolute value function has a graph that is wider than the parent function when graphed represents the parent function f(x)=|x| reflected over the x-axis and translated 1 unit to the right

A. F(x) = -|x|+1
B. F(x) = -|x-1|
C. F(x) =|-x|+1
D. F(x) =|-x-1|

Answers

The answer to this is B

Answer:

B.[tex]F(x)=-\mid{x-1}\mid[/tex]

Step-by-step explanation:

We are given that a function

[tex]f(x)=\mid x\mid[/tex]

We have to find absolute value of function when parent function reflected over the x- axis and translated 1 unit to the right.

The transformation rule when the point (x,y) is reflected over x- axis is given by

[tex](x,y)\rightarrow (x,-y)[/tex]

Apply the reflection on function  over x- axis then, we get

[tex]g(x)=-\mid x\mid[/tex]

Transformation rule when the point (x,y) is shifted a units  towards right is given by

[tex](x,y)\rightarrow (x-a,y)[/tex]

When the graph is translated 1 units towards right then , obtained function is given by

[tex]F(x)=-\mid{x-1}\mid[/tex]

Please help, what effect does doubling the radius of a cone's base have on the cone's volume? Thank you! :),

Answers

This it the formula for the volume of a cone: V = (π)(r^2)(h/3) r is the radius (measured from the center of the cone base to the edge of the base) h is the height of the cone from the center of the base to the top If the radius is doubled, the equation becomes: V = (π)((2r)^2)(h/3) This can be simplified to V = (π)(4r^2)(h/3), so the new volume will be 4 times the original volume.

Please help thank you.

Answers

30 60 90 right triangle
leg = 6 so other leg = 6√3

A = (1/2)(6+6)( 6√3+ 6√3)
A = 6 (12√3)
A = 72√3

answer is D
72√3

In the figure, TU is tangent to the circle at point U. Use the figure to answer the questions.

(a) Describe the relationship among the lengths of the segments formed by the secant, RT, and the tangent segment, TU. You may use words and/or an equation.

(b) Suppose RT = 9 in. and ST = 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.

Answers

(a) (RS+ST)*ST=TU^2
or RT*ST=TU^2

(b) 9*4= TU2
36=TU^2
[tex] \sqrt{36}[/tex]
6=TU^2

Both the parts of this question require the use of the "Intersecting Secant-Tangent Theorem".

Part A

The definition of the Intersecting Secant-Tangent Theorem is:

"If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment."

This, when applied to our case becomes, "The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU".

Mathematically, it can be written as:

[tex] RT\times ST=(TU)^2 [/tex]

Part B

It is given that RT = 9 in. and ST = 4 in. Thus, it is definitely possible to find the value of the length TU and it can be found using the Intersecting Secant-Tangent Theorem as:

[tex] RT\times ST=(TU)^2 [/tex]

Thus, [tex] (TU)^2=9\times 4=36 [/tex]

[tex] \therefore TU=\sqrt{36}=6 [/tex]

Thus the length of TU=6 inches

Rectangle M was dilated to form rectangle M’. What ratio is the scale factor?

1/2
2/3
4/3
3/2

Answers

Solution:

we are given that

Rectangle M was dilated to form rectangle M’.

we have been asked to find

What ratio is the scale factor?

we can find the required ratio by dividing the corresponding sides of the given rectangles as below:

[tex] Ratio=\frac{6}{4}=\frac{2}{4/3}\\
\\

[/tex]

[tex] Ratio=\frac{3}{2}=\frac{6}{4} \\
\\
\
Ratio=\frac{3}{2}=\frac{3}{2}\\ [/tex]

Hence the required ratio is 3/2.

Answer:(d or 3/2

Step-by-step explanation: I took the test

A street promotion worker gets paid $0.10 for each flyer he hands out. His goal is to make $15 an hour. How many flyers must he hand out each hour?

A. 45
B. 1500
C. 150
D. 15

Answers

C.150 is the answer. I hope this helps :)
Final answer:

The street promotion worker must hand out 150 flyers each hour to make $15.

Explanation:

To determine how many flyers the street promotion worker must hand out each hour to make $15, we need to use the equation:

Number of flyers × Payment per flyer = Total payment

Since the worker wants to make $15 an hour, the equation becomes:

Number of flyers × $0.10 = $15

To solve for the number of flyers, we divide both sides of the equation by $0.10:

Number of flyers = $15 ÷ $0.10

Number of flyers = 150

Therefore, the street promotion worker must hand out 150 flyers each hour to make $15.

Learn more about Calculating Number of Flyers here:

https://brainly.com/question/19910027

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the sum of 5 consecutive odd number is 145

Answers

 145 / 5 = 29  this is the middle number
 now take 2 odd numbers below 29 and 2 odd numbers above 29

25 + 27 + 29 +31 +33  = 145

You need to have a password with 4 letters followed by 2 even digits between 0 and 9, inclusive. if the characters and digits cannot be used more than once, how many choices do you have for your password?

Answers

Final answer:

The total number of possible passwords, considering the conditions that no letters or digits can be reused, and only even digits 0-9 can be used, would be 7,893,600.

Explanation:

This is a question of combinations and permutations. Firstly, consider the four letters. There are 26 letters in the English alphabet. Since you have four letters and none of them can be the same, the number of possibilities is 26 * 25 * 24 * 23. Next, consider the two numbers. Since we can only choose even numbers between 0 and 9 (which gives us 5 possible selections), and they cannot be the same, the number of possibilities is 5 * 4. Therefore, to find the total number of possible passwords, you multiply the possibilities for letters and numbers together. So, the number of

possible passwords would be 26 * 25 * 24 * 23 * 5 * 4, which equals to 7,893,600.

Learn more about Combinations and Permutations here:

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It has 3 more vertices than a triangle

Answers

Well, a triangle has 3 vertices, and 3 + 3 would be 6 vertices. So it is a hexagon.
The answer would be a hexagon. 

A vertice is simple a corner of a shape. A triangle has 3 corners, so it has three vertices. A hexagon has 6 corners, so it had 6 vertices!

The graphs below have the same shape. What is the equation of the blue

Answers

using a graph tool
see the attache figure

the answer is the option B
g(x)=(x-5)²

Answer: The correct option is B.

Explanation:

From the given figure it is noticed that the parent function is,

[tex]f(x)=x^2[/tex]

The graph of f(x) shifts 5 units right.

The transformation is defined as,

[tex]g(x)=f(x+a)+b[/tex]

Where, a shows the horizontal shifts and b shows the vertical shift.

If a<0 then the graph of f(x) shifts right side by a units and if a>0 then the graph of f(x) shifts left side by a units.

If b<0 then the graph of f(x) shifts downward by b units and if b>0 then the graph of f(x) shifts upward by b units.

Since the graph of parent function is shifts only right side by 5 units, therefore

[tex]g(x)=f(x-5)+0[/tex]

Since [tex]f(x)=x^2[/tex]

[tex]g(x)=(x+5)^2[/tex]

Thus, the correct option is B.

The function in option A represents the left shift of f(x) by 5 units.  The option C represents the downward shift of f(x) by 5 units. The option D represents the upward shift of f(x) by 5 units.

Daniel is planning to go camping, but he lost the pole that supports the middle point of the tent. A cross-section of the tent is shown below. The base of the tent measures 96 inches wide, and the length from the top point of the tent to the corners of the base is 102 inches.

Answers

96/2 = 48

102^2 = 10404

48^2 = 2304

10404 - 2304 = 8100

 squareroot(8100) = 90

 the pole needs to be 90 inches high

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

Answer:

C

Step-by-step explanation:

The very first term would result in 2 having an exponent in 0 making the equation -3 * 1 which is just -3 and C is the only option.


To further prove this -3 * 2^3 is -24. n is the term that you are looking for. So finding the fourth term would mean you would take 4-1 which is 3 thus making the exponent 3.

Help? Will mark Brainliest! TYSM!

Answers

1 3 5 is the answer mark me if u want to please
#1, 3, 5 are your answers.

#2, 4, and 6 cancel out because they are not included with the bisect

Hope this helped!

The second step in the process for factoring the trinomial x^2-3x-40 is to

Answers

I think it's to find the sum of the factors of −40.

Hope this helps !

Photon

Answer:

Second step  x( x +5 ) -8 (x+ 5 ) in process of factoring .

Step-by-step explanation:

Given : Trinomial x²-3x-40 .

To find : The second step in the process for factoring .

Solution : We have x²-3x-40 .

On factoring x²+ 5x - 8x - 40 .

Taking common x from first two terms and -8 from last two terms.

x( x +5 ) -8 (x+ 5 ) .

Therefore , Second step  x( x +5 ) -8 (x+ 5 ) in process of factoring .

Wendy enjoys listening to hip hop and downloads music regularly from the internet. She already has four hours of hip hop in her collection. From the second month onward, the number of hours of hip hop music she downloads each month is nine percent greater than the number of hours of hip hop music she had downloaded the previous month. Which function best shows the total number of hours of hip hop music Wendy has in her collection f(x) after x months? f(x) = (1.09)x + 3 f(x) = 3(1.09)x f(x) = (1.09)x + 2 f(x) = (1.09)x - 2

Answers

This can be solved using a geometric sequence. 
First term [tex]u_1=4[/tex] also, [tex]u_{n+1}=u_n+0.09u_n=1.09u_n[/tex].
Let x be the number of months, then the total number of hours can be computed like this:
[tex]f(x)=4\dfrac{1-1.09^x}{1-1.09}\\=44.4(1-1.09^x)[/tex]

Miguel had 63 lemons to make lemonade at his stand. He used some lemons to make lemonade. Now he has 25 lemons. How many lemons did Miguel use?
Miguel used ___lemons to make lemonade.

Answers

To find this answer, you can subtract 25 from 63. 63-25=38.

Miguel used 38 lemons.

Hope this helped!

Answer: He used 38 lemonsssssssssssss

Step-by-step explanation:

Which sequence of transformations creates a similar, but not congruent, triangle? ((will medal for correct answer))

Dilation and rotation
Rotation and translation
Reflection and rotation
Translation and reflection,

Answers

Dilation and rotation

The sin 215° is ____
●A positive value
●0
●A negative value

Answers

The sin 215° is ____

●A positive value

The sin 215 degrees is a positive value. (Soh Cah Toa - Sin Cos Tan)


Answer: A positive value




believe; live


If f(x) = 1 + 5x, and g(x) = x3, find (f∘g)(x)

A.
1 + 5x3

B.
1 – 3x3

C.
1 + 8x

D.
5x3

Answers

(f∘g)(x) = f(g(x)) = 1 +5g(x) = 1 +5x^3

Selection A is appropriate.

prove that an isosceles trapezium is always cyclic

Answers

Since the opposite angles are supplementary, an isosceles trapezium is a cyclic quadrilateral. Thus, ABCD is a rectangle as each internal angle is 90°. 8. If the non-parallel sides of a trapezium are equal, prove that it is cyclic.


i don't have time but to prove that an isosceles trapezium is always cyclic, you have to prove that if you add the opposite angles, you will get 180 degrees.

Hope this helps !

Photon

viola makes gift baskets for valentine's day.she has 13 basket left over from last year, and she plans to make 12 more each day. if there are 15 work days unitl the day she begins to sell the baskets, how many baskets will she have to sell?
193 baskets
156 baskets
205 baskets
181 baskets

Answers

The answer is 193 baskets because you have to multiply the amounts of baskets and then add the left overs.
12x15=180
180+13=193

Hope this helps!;)

Consider the two triangles shown.

Answers

answer is D.
given sides and angles can be used to show similarity by both SSS and SAS similarity theorems
I believe the answer is d

Please help! 15 points!

Btw, you cannot answer in the file.....that's just a pic.....

Answers

You can find the value of x using the trigonometric function of cosine.

cos x = adj/hyp
cos 49 = x/55
55(cos 49) = x 
36.083 = x 

Hope I am right :)

Class 10R sat a test. The mean mark of the class was 70%. There are 30 students in class 10R, 20 of whom are boys. The mean mark for the boys in the test was 62%.Work out the mean mark for the girls.

Answers

86%

70X30=2100

20X62=1240

2100-1240 = 860

860/10=86

Answer:

Mean mark for the girls is [tex]86%[/tex].

Step-by-step explanation:

Given information:

Number of total students in the class=[tex]30[/tex]

Number of boys in the class=[tex]20[/tex]

Then, number of girls will be=[tex]30-20[/tex]=[tex]10[/tex]

The mean mark of the class=[tex]70\times30=2100[/tex]

The mean mark for the boys is [tex]62[/tex]

Then, mark for the boys[tex]=62\times20=1240[/tex]

The mark for the girls=[tex]2100-1240=860[/tex]

Then mean mark of the girls will be  [tex]\frac{860}{10}=86[/tex]

Hence, mean mark for the girls is [tex]86%[/tex].

For more details please refer link :

https://brainly.in/question/32760552?referrer=searchResults

Let f(x)=25x2−2 .

The function g(x) is a vertical stretch of f(x) by a factor of 2.

What is the equation of g(x)?



Enter your answer in the box.

g(x) =

Answers

We are given function f(x) = 25x^2 -2.

g(x) is a vertical stretch of f(x) by a factor of 2.

We know, the transformation rule

y= k f(x), vertical stretch by a factor k. For k>0.

Because function f(x) is being vertical stretched by a factor of 2. So, we need to multiply f(x) function by 2.

Therefore, g(x) = 2 f(x) = 2*(25x^2-2).

Therefore, g(x) = 2*(25x^2-2) or g(x) = 50x^2-4.

Answer:

The Given function is

f(x)= 25 x² -2

Now, a function g(x) is obtained when the function f(x) is stretched by a factor of 2.

Consider point (x,y) on f(x).When function is stretched vertically by a factor of 2 ,it means, the coordinate changes from (x,y) to (x,2 y).

Since we have to stretch the function as whole, we will multiply original function by 2.

So, g(x)= 2× [25 x² - 2] =50 x² -4

g(x)=50 x²- 4

20 POINTS! What is the distance between the points (2, 3) and (5, -4)?

Answers

Use the distance formula.

The distance, d, between points [tex] (x_1, y_1) [/tex]
and [tex] (x_2, y_2) [/tex] is given by the distance formula below.

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

Now we can apply the formula to your points.

Let Point 1 be (2, 3) and Point 2 be (5, -4).

Then you have

[tex] x_1 = 2~~~~y_1 = 3~~~~x_2 = 5~~~~y_2 = -4 [/tex]

[tex] d = \sqrt{(5 - 2)^2 + (-4 - 3)^2} [/tex]

[tex] d = \sqrt{(3)^2 + (-7)^2} [/tex]

[tex] d = \sqrt{9 + 49} [/tex]

[tex] d = \sqrt{58} [/tex]

Answer: the distance is sqrt(58)
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