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​

Answers

Answer 1

Answer:

His answer was correct:

(200*0.09)=18

18*16=288

200+288=488


Related Questions

What is the 37th term of the arithmetic sequence with the first term -39 and the common difference of 8.

Answers

Answer:

[tex]a_{37}=249[/tex]

Step-by-step explanation:

A sequence that has a common difference is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

n = 37a₁ = -39d = 8

Plug those into the formula:

[tex]a_{37}=-39+(37-1)8[/tex]

Then solve:

[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]

100 POINT!!!!! NEED HELP ASAP
Show that (a + bi)^2 = (a + b)(a − b) + 2abi

Answers

Answer:

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

Answer: This is what I turned in and it was right :)

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

What would be the dimesions of the pool if the length is 15 feet longer then the width and they put up an 110 feet of fence around the pool
Help ASAP ill give Brainly
PlS HELP ME
NO BOTS PLS

Answers

Answer:    Use Gauth Math. What is the topic about?

Step-by-step explanation:

Figure out 26 and 27 and get 100 points and I will mark as brainliest

Answers

Answer:

Triangle

Area-9 units

Perimeter-9 units

Rectangle

Area- 18

Perimeter- 18

Step-by-step explanation

For the triangle, you first plot the points. Then you find two of the side lengths and multiply them together. After that you divide the result by two. You get the area. You add the sides together for the perimeter. For the rectangle, you have 3 and 6. Multiply to get 18. 3+3+6+6 is also 18.

write 3 example of quantities or things you know, or you have experienced within your community that show different types of variation.​

Answers

Answer:

Type of variation

1) Direct variation

Simple equation y=Kx

Y varies directly with x

Practical example-

Radius of the circle lit by a car's

Light decreases (y) as the distance away from the garage decreases (c)

2) Inverse variation

Simple equation y=k/x

Y inversely with c

Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)

3) Joint variation

Simple equation y=kxz

Y varies jointly with x and z

Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside

Step-by-step explanation:


The seventh grade class is raising money to have a class trip at the end of the year. They began the year with $2,500. Now they have 54.750 in the account. What is the percent increase for the money the
dass has raised? The dass figured out that if there is a percent increase of 99% from the beginning of the year, they will have enough to pay for every student. How much money wil they need to pay for every student?
The percent increase is
They will need to pay for every student?

Answers

Answer:

21.6%

Step-by-step explanation:

Which of the binomials below is a factor of this trinomial?
x² + x -20
O A. X+ 2
O B. X+4
O C. X-4
O D. X-2

Answers

Answer:

C. X-4

Step-by-step explanation:

x^2+x-20

=(x-4)(x+5)

Answer:

C.

Step-by-step explanation:

Sorry I Can't explain because I'm busy right now

There were 3 full pizzas sitting on a counter. If Joe ate ¼ of a pie, Rhonda ate ⅜ of a pie, and Chris ate 4 slices, how many slices of pizza were left? (Assume each pie is cut into 8 slices.)

Answers

Answer:

15 slices

Step-by-step explanation:

Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.

2+3+4= 9.

there are 3 pizzas divided into 8 slices per pizza.

3 x 8 = 24 ; 24 slices total

subtract 9 (that’s what was consumed) from 24.

24-9 = 15

I hope it helps.

8i

−8

8i2

−8i
NO LINKS

Answers

Answer:

Step-by-step explanation:

x² = -64

   = -1 · 64

Using -1 = i²:

x² = 64 · i²

Using 64 = 8²:

x² = 8² · i²

   = (8·i)²

Taking the square root of both sides:

x = 8i

SOMEONE PLEASE HELP‼️‼️‼️ILL MARK BRAINLYEST ‼️‼️PLEASE ‼️‼️
How is a trapezoid different from a rectangle?

A. It’s is not a closed polygon
B. It has five legs and a diagonal
C. It has one pair of parallel sides
D. It has all pairs of parallel sides

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A can't be right because rectangles and trapezoids are both closed polygons.

B can't be right because both shapes can't even have 5 legs.

C is right because triangles only have one pair of parallel sides and rectangles have two pairs.

D trapezoids don't have two pairs of parallel sides because two sides intersect eventually.

find the length of x in the figure below. round your answer to 3 significant figure

Answers

Answer:

where is the figure? or tell us the area and width of the figure

You have 20 quarters. You find 40% more in your room. Then you go to the store and spend 50% of them. How much money do you have left? please answer the question without a link

Answers

Answer:

14

Step-by-step explanation:

First fond 40% of 20

20×40/100 = 8

So now there is a total of 20+8 =28

At the store you spend exactly half

28×50/100 =14

So now you are left with 28-14 =14

Solve for bb.
42=42+9b

Answers

Answer:

0

Step-by-step explanation:

42=42+9b

We move all terms to the left:

42-(42+9b)=0

We add all the numbers together, and all the variables

-(9b+42)+42=0

We get rid of parentheses

-9b-42+42=0

We add all the numbers together, and all the variables

-9b=0

b=0/-9

b=0

What is the value of this expression?

​ 1.5(−2.4+(−5.3)) ​


−11.55

−4.35

4.35

11.55

Answers

Answer:

the answer is negative 11.55

Step-by-step explanation:

-2.4+-5.3=-7.7.

7.7(1.5)=-11.55

The mean age of 5 people in a room is 39 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room?

Answers

Answer:

21

Step-by-step explanation:

Mean is the average of the objects

With five people, the mean is the average age of these people so what did you divide 5 into to get 39.

5 × 39 = 195

After a person enter the room, total 6 in the room with a mean of 36.

6 × 36 = 216

Now the age of the person who entered the room  216 - 195 = 21

Ivan put 500 000ISK (Icelandic Krona) and Blake put 700 000ISK into savings accounts
at different banks.
After 8 years, Ivan and Blake have the same amount of money in their accounts.
They both receive interest compounded quarterly and Blake has an annual interest rate
that is half of Ivan's annual interest rate.
Work out the annual interest rate that Blake receives.

Answers

Using compound interest, it is found that Blake receives an annual rate of 4.27%.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

Ivan's parameters are given by:

Put 500 000 ISK, hence [tex]P = 500000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate of r.

Hence:

[tex]A_i(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A_i(t) = 500000\left(1 + \frac{r}{4}\right)^{32}[/tex]

[tex]A_i(t) = 500000(1 + 0.25r)^{32}[/tex]

Blake's parameters are given by:

Put 700 000 ISK, hence [tex]P = 700000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate that is half of Ivan's, hence [tex]\frac{r}{2}[/tex]

Thus:

[tex]A_b(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A_b(t) = 700000(1 + 0.125r)^{32}[/tex]

These amounts are equal, hence:

[tex]A_i(t) = A_b(t)[/tex]

[tex]500000(1 + 0.25r)^{32} = 700000(1 + 0.125r)^{32}[/tex]

[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{700000}{500000}[/tex]

[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{7}{5}[/tex]

[tex]\sqrt[32]{\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32}} = \sqrt[32]{\frac{7}{5}}[/tex]

[tex]\frac{1 + 0.25r}{1 + 0.125r} = \left(\frac{7}{5}\right)^{\frac{1}{32}}[/tex]

[tex]\frac{1 + 0.25r}{1 + 0.125r} = 1.01057023172 [/tex]

[tex]1 + 0.25r = 1.01057023172 + 0.12632127896r[/tex]

[tex]0.12367872103r = 0.01057023172 [/tex]

[tex]r = \frac{0.01057023172}{0.12367872103}[/tex]

[tex]r = 0.0854[/tex]

Blake's rate is:

[tex]\frac{r}{2} = \frac{0.0855}{2} = 0.0427[/tex]

Blake receives an annual rate of 4.27%.

A similar problem is given at https://brainly.com/question/24507395

The sum of two consecutive even numbers is 54 find the answer

Answers

Answer:

26, 28

Step-by-step explanation:

2n , 2n + 2

2n + 2n + 2 = 54

4n + 2 = 54

4n = 52

n = 13

2n = 26

2n + 2 = 28

Answer:

26 and 28

Step-by-step explanation:

The sum of two consecutive even numbers is 54 find the answer

(54 - 2) : 2 = 26

26 + 2 = 28

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

check

26 + 28 = 54

URGENT HELPP
I need to:
think the difference between what occurred and what you would expect by chance is statistically significant. Explain

Of the 40 students in your mathematics class 35 have the same last name.​

Answers

Answer:sadddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-step explanation:

ddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

Find the measure of the indicated angle.

Answers

Answer:

11) x = 21

12) x = 110

13) x = 85

14) x = 137

Step-by-step explanation:

Hope it helped <3

What is the slope of the line that passes through the points (-6, -8)and (-14, 4) ? Write your answer in simplest form.

Answers

Answer:

Slope = -3/2

Step-by-step explanation:

[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]

[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]

-Chetan K

Find the perimeter. Simplify the answer.

Answers

Answer:

34p-16

Step-by-step explanation:

Perimeter of parallelogram

= 2(9p-10)+2(8p+2)

= 18p-20+16p+4

= 34p-16

How to reduce decimals to fractions.

Answers

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

grace was born in 1995. how old will she be in 2027

Answers

Answer:

12

Step-by-step explanation:

2007 - 1995

Can someone help:(( graph y=2x

Answers

Answer:

Look at the attached screenshot

Step-by-step explanation:

Slope is 2.

Since y-intercept is not given, we can assume that it is 0.

Answer:

Step-by-step explanation:

Make a table of points for y = 2x, and then plot these points, and finallyl draw a line through the points:

x   y

0   0

2   4

3   6 (and so on).

Plot this (0, 0) (it's the origin).  Next plot either (2, 4) or (3, 6) (or both).  Then draw a line through these points.  

A seafood restaurant daims an increase of $2,450 over its average profit during a weer where it introduced a special of baked class.​

Answers

Answer:

Step-by-step explanation:

COPY PASTE I WROTE THE ANSWER ON THERE!!! :)))

in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.

Answers

Answer:

0

Step-by-step explanation:

if x is 3 then;

3(3-1)=2×3+c

c=0

so if c=0 then

x=3

without looking delores took a handful of multi colored candies from a bag and found that 40% of the candies were yellow. suppose that there are 375 candies in the bag. How many can she expect to be yellow?

Answers

Answer:

150

Step-by-step explanation:

Mika is making a beaded necklace. Each bead is a14inch cube.If the necklace is 18 inches long, how many beads will Mika need?

Answers

Answer: The answer is 4

Step-by-step explanation:  2 ( g + 5 ) − 2 ( g + 3 ) = 2 ( g + 5 ) − 2 ( g + 3 )

= 2g + 10 - 2g - 6

= 2g -2g + 10 - 6

= 0 + 4

= 4

Hope this helps!

A color printer prints 23 pages in 10 minutes. How many minutes does it take per page?

Answers

23/10 = 2.3 pages per minute.
23. 1
10 = x
23x = 10
X = 10/23 of a minute per page.

Please answer this. I need and will give

Answers

At least give a clear picture bro
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