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Gavin deposited $200 into his savings account that is compounded semi-annually at an interest rate of 9%. Gavin hoped he would have enough money in 8 years to buy a $400 gaming console for college. Is Gavin correct? Write and solve an equation, showing your work to justify your answer.
Answer:

Answers

Answer 1

ANSWERS AND STEPS???


Related Questions

Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes

Answers

Answer:

34

Step-by-step explanation:

Subtract and divide

The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

With company x, it cost 35 cents to connect and then 5 cents for each minute.

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Now,

Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.

Hence, The cost for n minutes with company x is,

⇒ 35 + 5n

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Hence, The cost for n minutes with company y is,

⇒ 15 + 4n

Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)

                     = 35 + 5n - 15 - 4n

                     = (20 + n) cents

Learn more about the mathematical expression visit:

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Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =

Answers

Answer:

I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.

The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.

To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.

Given the step function:

g(x) =

-4, x < -1

-1, -1 ≤ x < 2

3, 2 ≤ x < 4

5, x ≥ 4

Let's evaluate the step function for each input:

g(-2):

Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.

g(2):

Since 2 is less than or equal to 4, the condition for the second interval is satisfied.  Therefore, g(2) = 3.

g(5):

Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.

Hence, we have:

g(-2) = -4

g(2) = 3

g(5) = 5

Learn more about the functions here:

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3 + 5p − 12 = 2p + 12

Answers

Answer:

p=7

Step-by-step explanation:

Let's solve your equation step-by-step.

3+5p−12=2p+12

Step 1: Simplify both sides of the equation.

3+5p−12=2p+12

3+5p+−12=2p+12

(5p)+(3+−12)=2p+12(Combine Like Terms)

5p+−9=2p+12

5p−9=2p+12

Step 2: Subtract 2p from both sides.

5p−9−2p=2p+12−2p

3p−9=12

Step 3: Add 9 to both sides.

3p−9+9=12+9

3p=21

Step 4: Divide both sides by 3.

3p

3

=

21

3

p=7

Hope this helps have an amazing day!!

Which of the following events is impossible?

Spinning a number that is neither odd nor even.
Spinning an odd number.
Spinning a number greater than 1.
Spinning a number less than 1.

Answers

Answer: number 4

Step-by-step explanation:

Answer:

Spinning a number that is neither odd nor even.

Step-by-step explanation:

Every number is either odd or even

how do I turn this into a radical?

Answers

6sqrt(2) i’m pretty sure

Ricardo borrows $1850 for 8 months at 12% interest.
What is the amount he will pay back at the end of the
loan period?
How do you know?

Answers

Answer:

Ricardo will have to pay $1776 at the end of the loan period.

I know this because if you multiply 12% to 1850 you get 222.

Now you multiply 222 to 8 which gives you an answer of 1776.

Hope this helps. :)

Enter the solution to the equation in the box.
2(x−3)=8(x−6)

Answers

Answer:

x=7

Step-by-step explanation:

2(x−3)=8(x−6)

2x-6=8x-48

2x-8x=-48+6

-6x=-42

x=7

Create an expression that would represent the area of a triangle.

Answers

Answer:

a = 1/2 (15 *5)

Step-by-step explanation:

a = 1/2 (b * h)

     1/2 (15 *5)

Answer:

1/2 (15x5)

Step-by-step explanation:

Area = 1/2bh

Write down the solution to these simultaneous equations.
y = 2x + 1
y=0.5x – 2​

Answers

Step-by-step explanation:

2x +1= 0.5x - 2

X = - 2

y = 0.5x (- 2) - 2

y = - 3

( x, y ) = ( -2 , -3 )

hope it helps!

HELP ASAP PLEASE!!!!
Triangle ABC is similar to triangle PQR, as shown below: Which equation is correct? (1 point) ​

Answers

The one ur selecting is the correct one!

Frank went to the store and bought water, juice, and soda for everybody. Write an expression to show the total amount of beverages he bought. (Use w for water, j for juice, and s for soda.)

please help! id give you master brainlist.

Answers

Answer:

w + j + s = total amount of beverages

Step-by-step explanation:

The first person is correct.

W+J+S= the amount of beverages he bought.

Water plus Juice and Soda. You have to add them all up to get the total he bought for everyone.

Hope this helps you.
:)

The following is an example of what type of sequence? 3, 11, 19, 27, 35...
a geometric
C. ratio
b. arithmetic
ddifference

Answers

B....................

Answer:

b. Arithmetic .

Step-by-step explanation:

b because  to get the next term you add 8.

how do we find the value of y when x = 0​

Answers

Answer:

both variables are just 0-

Mollie bought 12 packages of carrots for a total of $48. She realized she needed to purchase another 10 more packages. How much will she have spent IN ALL on the carrots?

Answers

Answer:

$88

Step-by-step explanation:

48/12= 4

for another 10 she pays another $40

Answer:

$88

Step-by-step explanation:

The coordinates of point K are (−3, 4.5). Which statement tells how to locate point K on the coordinate plane?

Answers

Answer:

-3

Step-by-step explanation:

PLZ HELP!!!

Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.
a. 20-100
b. 20-40

Answers

A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)

Need help ASAP!!
Find the unknown side of the triangle below.

A.) 24.5 in
B.) 13 in
C.) 20 in
D.) 25 in

Answers

Answer: B.

Explanation: That side is shorter than the other known sizes so it can’t be above 20

Answeruse pitaghora theorema

a2+b2=c2

21^2+x^2=29^2

441+x^2=841

x^2=400x=√400=20

any questions?why 3 stars tho

Maria made two batches of fruit punch. The table at the right shows how many quarts of juice she used for each batch. Write an equation that relates the proportional quantities. Convince Me! How does the equation change if the amount of grape juice is the independent variable, x, and the amount of apple juice is the dependent variable, y? A table with Apple Juice (x), Grape Juice (y) and Grape Juice/Apple Juice (y/x). The first row has x as 5 and y as 8. The second row has x as 10 and y as 16. In each row, the ratio of Grape Juice to Apple Juice is a blank to be filled. The constant of proportionality is . An equation that represents this proportional relationship is =

Answers

Answer/Step-by-step explanation:

The equation that relates the proportional quantities would take the following form ---› [tex] y = kx [/tex], where,

y = amount of Grape juice (dependent variable)

x = amount of Apple juice (independent variable)

k = constant of proportionality (y/x)

✔️Using any of the given pair, say, (5, 8),

Constant of proportionality = [tex] k = \frac{y}{x} = \frac{8}{5} = 1.6 [/tex]

Substitute k = 1.6 in [tex] y = kx [/tex].

An equation that represents the proportional relationship would be:

[tex] y = 1.6x [/tex]

Or

[tex] y = \frac{8}{5}x [/tex]

How the equation would change if:

y = amount of Apple juice (dependent variable)

x = amount of Grape juice (independent variable)

The constant of proportionality would change, that is using a pair, say, (8, 5),

[tex] k = \frac{y}{x} = \frac{5}{8} = 0.625 [/tex]

Substitute k = 0.625 in [tex] y = kx [/tex].

The equation would now be:

[tex] y = 0.625x [/tex].

Or

[tex] y = \frac{5}{8}x [/tex]

If x= −5, which equation is true?
a] 2x−4= −14
b] 3(4−x)=3
c] 2(x−4)= −14
d] 3(10−x)=21

Answers

The answer is A] 2x -4 = -14

2(-5) -4 = -14
-10 -4 = -14
-14 = -14

5 divide by 8 plus 9

Answers

Answer:

9.625

5 divided by 8= 0.625 + 9 = 9.625

Step-by-step explanation:

Answer:

9.625

Step-by-step explanation:

5/8=0.625, than add 9 to it, and have 9.625

La suma de un número natural y su cuadrado es de 72. Encuentra el número del que se trata.

Answers

Answer:

8

Step-by-step explanation:

Sea el número x El cuadrado será x ^ 2

Entonces la suma será; x ^ 2 + x = 72 x ^ 2 + x-72 = 0

x ^ 2 + 9x-8x-72 = 0

x (x + 9) -8 (x + 9) = 0

(x + 9) (x-8) x = 8 o -9

Como solo estamos considerando números naturales, la respuesta correcta es 8

What is the slope of AB?

Answers

-2/3 from A you go to the right 3 times which is 3 x and you go down 2 which is -2y

Answer: -2/3

Step-by-step explanation:

If you want to find the slope of something, the quick way is to use [tex]\frac{rise}{run}[/tex].

In this situation, the “rise” (change in y axis) is -2 because it’s going down and the “run” (change in x axis) is 3. Therefore, it’s -2/3.

The formula to find slope is:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

(I think, if I memorized it correctly)

Jack’s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Explain how you know.

Answers

It would take 29 gallons of gas because when you divide 468/18=26 and then you would divide 754/26=29.

Answer:

29 gallons.

Step-by-step explanation:

For every gallon, a total number of 468/18 miles = 26 miles could be travelled.

And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.

Hope this helped!

Someone help me with this pleaseeeeee

Answers

Answer:8 an 40 an 2

Step-by-step explanation:

plz help asap i need help fast asap i will mark you brainlist

Answers

Answer:

What do you need help with?

Gina will pay $14 for the
fabric at a craft store. The tax rate is 8.5%. How much will she pay for her fabric including tax?

Answers

Answer:

$15.19

Hope this helped!

Step-by-step explanation:

Write an equation

8.5% of 14 =

Convert percent into decimal:

8.5% = 0.085

"Of" means to multiply so multiply 0.085 to 14

0.085 x 14 = $1.19

14 + 1.19 = 15.19

A cone had a height of 16 inches and a radius of 14 inches . If pi is 3.14 what is the volume ?

Answers

Answer:

3284.01, brainliest if correct pls

Step-by-step explanation:

Answer:

3282 cubic inches.

Step-by-step explanation: Just times 14 times 14 since its in radius form then times by 16 then by 3.14 last divide by 3.

I need help ASAP!!!!

Answers

Answer:

3/10

Because there are 10 balls in all and there is one softball and two baseballs, so in total there are 3 balls that they want to try and pull. That's why it is 3/10.

Hope This Helps!

simplify and express in a + bi form: (12 + 3i) - (3 - 1)

Answers

Answer:

10+3i

Step-by-step explanation:

Subtract 3 and 1 which is 2, Now the equation looks like this:

(12+3i)-(2)

Multiply the negative with 2:

12+3i-2

Subtract 12 and 2:

10+3i

Answer: 10+3i

Hope this helps!

Fred has one third of a cake. He shares it among 3 of his friends. How much cake does each friend get?

a one third cake
b one sixth cake
c one ninth cake
d one twelfth cake

Answers

Answer:

1/9 Is the answer

Step-by-step explanation:

Answer: C is the anwer ヾ(≧▽≦*)o

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