A family has a newborn baby and decides to invest $300 into an account that will earn interest. They plan to give her the full amount of money in the account on her 18th birthday. They have two choices: Option 1: An account that grows by 12% each year Option 2: An account that grows by $30 each year. Which option will result in a better 18th birthday gift? Justify your choice and explain your reasoning.​

Answers

Answer 1

Option 1 is better. 12% of $300 is $36, so even in just the first year, it grows by $6 more than if they picked the other option. I hope this helps :)


Related Questions

brainliest give an explanation to

Answers

Answer:

70 caps, 72 hotdogs, 50 paintings, 8 scouts

Step-by-step explanation:

Plz look at the photo for geometry

Answers

Answer: m<C = 45, m<M = 50, m< B = 85.

Step-by-step explanation:

Adjacent angles on a line sum to 180 degrees.

m<C + m<M + m<B = 180. 45 + (8x+10) + (12x+25) = 180. Combine like terms. 80+ 20x =180. Subtract 89 from both sides. 20x = 100. Divide both sides by 20. X = 5. Substitute x back into the angle measures. m<C = 45, m<M = 50, m< B = 85.

what is the answer to this problem

Answers

Answer:

-11/12

Step-by-step explanation:

Answer:

-11

12

Step-by-step explanation:

You have to add the numbers, multiply them, subtract them and then finally divide.

Describe the transformation from y= x + 4 to y= .5x + 4 Group of answer choices compresses stretches shifts right 4 shifts left 4

Answers

Answer:

This type of transformation is a horizontal stretch.

Step-by-step explanation:

Given

[tex]y = x + 4[/tex]

[tex]y = .5x + 4[/tex]

Required

Determine the type of transformation

The first function can be expressed as:

[tex]f(x) = x + 4[/tex]

While the second function is:

[tex]g(x) = f(0.5x)[/tex]

Solving f(0.5x), we have to substitute 0.5x for x in [tex]f(x) = x + 4[/tex]

[tex]f(0.5x) = 0.5x + 4[/tex]

So:

The second function is:

[tex]g(x) = 0.5x + 4[/tex]

This type of transformation is a horizontal stretch.

i.e. f(x) stretched to g(x)

ASAP 20 POINTS!!! Students just finished taking test and these are the scores: 75, 80, 62, 98, 90, 86, 55, 86, 92, 66. What is the mean of the scores?

83
86
79
43

Answers

Answer:

I do not understand the question?

Step-by-step explanation:

What is the equation of the following line? Be sure to scroll down first to see all answer options

Answers

Answer:

YOU GOT THIS!!

The answer is B. y = -6x

Work out the perimeter of an equilateral triangle with side length 2.7mm

Answers

Answer:

, so easy

Step-by-step explanation:

3×2.7mm=8.1mm

Answer:

8.1mm

Step-by-step explanation:

equilateral triangle all sides are equal.

If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm

60% of ___ =39
I NEED AN ANSWER ASAP PLEASE HELP

Answers

Answer:

The answer is 65

Step-by-step explanation:

how many games have the hawks played?

Answers

The Atlanta hawks home s held us consist of 41 regular season games and typically 2 to 3 preseason games.

1. A storage trunk is 3 feet long and 1 foot wide. The height of the trunk is 2 feet. What is the volume of the trunk?​

Answers

It’s 6 feet I believe

3х – 8y = 34
7х + 4у = -34
Solve by elimination
Y and x
Please show steps ):

Answers

Answer:

The answer would be (-2, -5)

Step-by-step explanation:

3x - 8y= 34

2(7x + 4y = -34)

3x - 8y=34

14x + 8y= -68

----------------------

     17x= -34    divided by 17

       x = -2

3(-2) -8y= 34

-6 -8y =34 add 6

   -8y= 40  divide by -8

      y = -5

if you want to check the answer replacing -2 for x and -5 for y

7(-2) + 4(-5)= -34

-14 + (-20) = -34

-34 = -34

I hope this help sorry I'm not good explaining

pls Help I hate math

Answers

Answer:

C

Step-by-step explanation:

Remark

There are three rectangles all the same size.

There are two triangles both the same size

Triangles.

Givens

b = 7.5 cm

h = 6.5

Solution

Area 1 triangle =   1/2 * 7.5 * 6.5

Area 1 triangle = 24.375

Area 2 triangles = 2*24.375 =                            48.75

Rectangles

Givens

L = 13.5

w = 7.5

Solution

Area one rectangle = L*w

Area one rectangle = 13.5*7.5

Area one rectangle = 101.25

Area three rectangles =  3*101.25

Area three rectangles =                                   303.75    Add

Total Area =                                                      352.5              

Solve - 12x ≤ 72 and then plot the solution set on the number line.

Answers

Answer:

(6,0)

Step-by-step explanation:

Used Desmos Scientific calculator.

In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as the previous round.




Round 0 1 2 3 n

Points 25 75 225 675



Which equation shows the number of points available, p, in round n of the game show?

Answers

Answer:

[tex]p = 25(3)^n[/tex]

Step-by-step explanation:

Given

Round 0 1 2 3

Points 25 75 225 675

Required

Determine the equation

Let n = rounds and p = points.

So, we have:

[tex](n_1,p_1) = (0,25)[/tex]

[tex](n_2,p_2) = (1,75)[/tex]

[tex](n_2,p_2) = (3,225)[/tex]

The above shows a geometric progression.

So, we solve using

[tex]p = ab^n[/tex]

In [tex](n_1,p_1) = (0,25)[/tex]

n = 0 and p = 25

Substitute these values in [tex]p = ab^n[/tex]

[tex]25 = ab^0[/tex]

[tex]25 = a*1[/tex]

[tex]25 = a[/tex]

[tex]a = 25[/tex]

In [tex](n_2,p_2) = (1,75)[/tex]

n = 1 and p = 75

Substitute these values in [tex]p = ab^n[/tex]

[tex]75 = ab^1[/tex]

[tex]75 = ab[/tex]

Substitute 25 for a

[tex]75 = 25*b[/tex]

Make b the subject

[tex]b = \frac{75}{25}[/tex]

[tex]b = 3[/tex]

So, we have:

[tex]a = 25[/tex] and [tex]b = 3[/tex]

The equation [tex]p = ab^n[/tex] becomes

[tex]p = 25(3)^n[/tex]

     Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

Explicit formula of the Geometric sequence:a, ar, ar², ar³........arⁿ

       There is a common ratio of 'r' in each successive term to the

       previous term.

       Therefore, it's a geometric sequence.

Explicit formula of a geometric sequence is given by,

       [tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)

       Here, [tex]a=[/tex] First term

       [tex]r=[/tex] Common ratio

       [tex]n=[/tex] nth term

Given in the table,

Common ratio (r) of any successive term to the previous term,

        [tex]r=\frac{75}{25}=3[/tex]

First term of the sequence 'a' = 25

Explicit formula of the sequence will be,

[tex]P=25(3)^{n}[/tex] [For n ≥ 0]

       Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

Learn more about the geometric sequence here,

https://brainly.com/question/11385300?referrer=searchResults

4/8x - 6 = -24 solve for x

Answers

Answer:

Step 1: Simplify both sides of the equation.

4/8x−6=−24

1/2 x+−6=−24

1/2 x−6=−24

Step 2: Add 6 to both sides.

1/2 x−6+6=−24+6

1/2x=−18

Step 3: Multiply both sides by 2.

2*( 1/2

x)=(2)*(−18)

x=−36

Answer:

x=−36

What is the prime factorization of 84?
a.2x3x7
b.2 then 2 to the second powerx3x7
c.2x3 to the second powerx7
d.2 to the second powerx21

Answers

Answer:

2*2*3*7

Step-by-step explanation:

Answer:

Step-by-step explanation:

I look at 84 and see that it will be divisible by 4

84/4=21

21=7*3

84=2^2 * 3 * 7

The whittendale family purchases a new refrigerator on a no interest for one year plan. The cost is $1,385. There is no down payment If they make a monthly payment of x dollars until the last month, express their last month's payment algebraically.

Answers

The answer is 1385-11x.

what is the slope of (-3,-6) and (4,7)​

Answers

Answer:

13/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-(-6))/(4-(-3))

m=(7+6)/(4+3)

m=13/7

For what value of k is the expression x^4 + kx^2 + 49 a perfect square?

Answers

Answer:

[tex]k=14[/tex]

Step-by-step explanation:

Completing the square gives

[tex]x^4 + kx^2 + 49\\= (x^2+7)^2 - 14x^2 + kx^2[/tex]

So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.

Answer:

k=± 14

Step-by-step explanation:

[tex]x^4+kx^2+49\\Disc.=b^2-4ac=k^2-4*1*49\\it ~ is ~a ~ perfect ~ square.\\k^2-196=0\\k^2=196\\k= \pm 14[/tex]

Find the value of x.

Answers

Answer:

[tex]x=64^{\circ}[/tex]

Step-by-step explanation:

We know that sum of angles of a quadrilateral is equal to 360 degrees.

It means,

[tex]\angle X+\angle Y+\angle Z+\angle W=360\\\\100+130+66+x=360\\\\296+x=360\\\\x=360-296\\\\x=64^{\circ}[/tex]

So, the value of x is equal to [tex]64^{\circ}[/tex].

help me please-1 = (5 + x)/6

Answers

Answer:

x= -11 I hope this helps!

Step-by-step explanation:

Answer:

x=-11

Step-by-step explanation:

/=division

*=multiplication

-1=(5+x)/6

-1*6=(5+x)/6*6

-6-5=5+x-5

-11=x

Is (3,8) a solution to this system of equations? How do you know?
y=7x + 8
y=x + 1

Answers

Answer:

yes it is

Step-by-step explanation:

The point (3,8) is not a solution of system of equation. Explanation given below.

What is the system of equation?

Simultaneous equations are any equations with the same number of unknowns that may be solved at the same time. The system of equations is a simultaneous equation.

Given system of equation,

y=7x + 8

y=x + 1

To find that the point (3,8) is a solution of system of equation,

we substitute the point to both of these equation and verify if that point is satisfying the equation or not.

In the first equation, x=3 and y =8

we get, 8 = 29

which is contradiction.

In the second equation ;

we get, 8 = 4.

Which is also contradiction.

Therefore, the equations do not have the solution (3 , 8).

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2

Which fraction divided by 3/6 is equal to -9/10? A-9/20. B9/20. C-3/2. D9/40

Answers

Answer: -9/20 is equal to -9/10 when divided by 3/6 (1/2)

Step-by-step explanation:

Begin by reducing the fraction you're dividing with. In this case 3/6 can be reduced to 1.2, also known as 0.5 Beginning with -9/20, as it is the first answer option, we can put the problem into the following equation: -9/20 * 2/1 = -9/10.

It is always good to verify all of your answer options are not possible answers. However, in a question like this, the math evenly works out in most cases, eliminating any other possible answer options.

By submitting this answer and referring to the work and resources given I trust you're in accordance with the Brainly Honor Code and I take no responsibility for any laws or rules broken with you using this platform.

No growth industries pays out all of its earnings as dividends. It will pay its next four dollars per share dividend in the year. The discount rate is 15%. What is the price Earnings ratio of the company?

Answers

Answer:

the price earning ratio is 6.67

Step-by-step explanation:

The computation of the price earning per share is shown below:

As we know that

Price earning ratio = Current price ÷ earning per share

= ($4 ÷ 0.15) ÷ ($4)

= 6.67

Hence, the price earning ratio is 6.67

It shows the relationship between the current price and the earning per share

De 40 estudiantes de undécimo grado, 14 toman clase de piano y 29 clases se violín.

a. Si cinco estudiantes toman ambas clases,¿ cuántos estudiantes no asisten a ninguna de las dos?

b. ¿cuántos estudiantes toman clase de piano o de violín?

c. cuántos estudiantes toman únicamente clases de violín?​

Answers

Puedes separar los grupos en:

los que solo toman clases de piano; p

los que solo toman clases de violin: v

los que toman clases de piano y violin; 5

A) para determinar cuántos estudiantes no toman ni piano ni violin, podemos hallar el número total de estudiantes que toman clases solo de piano y los que toman solo de violín y los que toman ambas clases, de la siguiente forma:

Estudian solo piano, p = 14 - 5= 9

Estudian solo violín, v = 29 - 5 = 24

Estudian ambos: 5

Total de estudiantes que toman clases de esos instrumentos : 9 + 24 + 5 = 38

Por tanto, hay 40 - 38 = 2 estudiantes que no toman clases de piano ni violín.

 

B) ¿cuántos estudiantes toman clases de piano o violín?

Son los que tocan solo piano, o solo violín o ambos y los  hallamos arriba:  9 + 24 + 5 = 38.

Respuesta: 38

C) ¿Cuántos estudiantes tocan solo violín?

También lo encontramos arriba: son 29 - 5 = 24

Respuesta: 24

5*4 3/10 pls answer I will mark you as brainliest ​

Answers

Answer:

5x4 x 3 /10

20x 3 /10

60/10

6

Answer:

Step-by-step explanation:

[tex]5* 4 \frac{3}{10}=5* \frac{(4*10)+3}{10}\\\\= 5*\frac{43}{10}\\\\= \frac{43}{2}\\\\= 21 \frac{1}{2}[/tex]

Question 13
Find the angle between the given vectors to the nearest tenth of a
degree.
u= <8,4, v = <9.-9> (5 points)

Answers

Answer:

71.6 degrees

Step-by-step explanation:

Given the vectors

u= <8,4> v = <9.-9> (5 points)

u*v = (8, 4)*(9, -9)

u*v = 8(9)+(4)(-9)

u*v = 72 - 36

u*v = 36

|u| = √8²+4²

|u| = √64+16

|u| = √80

|v| = √9²+9²

|v|  = √81+81

|v|  = √162

Using the formula

u*v = ||u||v| cos theta

36 = √80(√162)cos theta

36 = √12960 cos theta

cos theta = 36/√12960

cos theta = 36/113.8

cos theta = 0.3162

theta = arccos(0.3162)

theta = 71.56 degrees

Hence the angle between the given vectors to the nearest tenth of a

degree is 71.6 degrees

Ms. Myrie gave her class 20 minutes to read. Carrie read 5 1/2
pages in that time. At what rate, in pages per hour, did Carrie read?

Answers

Answer:

16.5

Step-by-step explanation:

60 minutes = 1 hour

20 minutes * 3 = 60.

That means, by multiplying by a factor of 3, we can see exactly what Carrier's pg/hr speed is.

5.5 * 3 = 16.5

Answer:3.63 pagers per hour

Step-by-step explanation:

5 1/2 is the same as 5.5

20/5.5=3.63


Making a Mixture CoffeeAM sells chocolate-
covered blueberries for $10.95 per pound and
chocolate-covered strawberries for $13.95 per pound.
The company wants to create a mix of the two that
will sell for $12.95 per pound with no loss in revenue.
How many pounds of each treat should be used to
make 12 pounds of the mix?

Answers

Answer: 24lb

I think is the answer. Sorry if I am wrong.

Step-by-step explanation:

what does 2(3x − 7) + 18 = 10 equal

Answers

Answer:

x = 1

Step-by-step explanation:

We have an expression and are asked to find x perhaps?

2(3x - 7) + 18 = 10

To solve this, we need to get x alone.

Distribute :

(2(3x) - 2(7)) + 18 = 10

6x - 14 + 18

Add like terms :

6x + 4 = 10

Subtract 4 from both sides :

6x = 6

Divide 6 from both sides :

x = 1

Answer:

First you do 2x3 and then 2x7 that would be 6x and 14 so add 18 to 14 and that woukd be 32 so Try 32+6x... I would thnk i'm correct Can I also get Branliest..?

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