You get a gift of $1,000.  You decide that you want to invest all of the money in a savings account.  However, your bank has two different savings plans.  Determine the final amount in the account for each plan in 5 years.  Round your answers to two decimal places if needed. 
 
Plan A:  The bank gives you 4% interest rate and it is compounded every two months.  
 
Plan B:  The bank gives you a 10% interest rate and compounds the interest every 6 months.

Final Account balance for Plan A: $ 
 
Final Account balance for Plan B: $

Answers

Answer 1

Step-by-step explanation:

write what you know

P = 1,000

n = 5 years

Plan 1

i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%

write and solve

future value = p(1+i)^n = 1000(1+0.24)^5

plan 2

i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%

write and solve

future value = p(1+i)^n = 1000(1+0.20)^5


Related Questions

Ill mark you brainlist plz help if you put something random I will report you!

Answers

Answer:

3 is the common difference

The next term in the sequence would be 5

Answer:

:)

Step-by-step explanation:

[tex]-10, -7, -4, -1, 2, 5,[/tex]

Common difference = +3

Next term = 2 + 3 = 5

Find the value of x
Use sin, cos, or tan

Answers

Answer:   16.5

=========================================================

Explanation:

We use cosine to tie together the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411

x = 16.5

How many feet are in 60 yards

Answers

Answer:

180

Step-by-step explanation:

See the image below:)

15 x (-16) x(-23) x(-1)

Answers

Answer:

-207

Step-by-step explanation:

assume the answer is x

x=15*-16*-23*-1

=-240+23

=-207

answer:

−5520x³

step by step explanation:

15 x ( − 16 ) x ( − 23 ) x ( − 1 )

= 15 * x * ( − 16 ) * x * ( − 23 ) * x * ( − 1 )

= − 5520 * x³

= − 5520x³

Question 1

Solve: 2x2 - 4x - 3 =0

Question 2

Solve: x(x - 2)= 4

Question 3

Solve: 9x2 + 12x +4 = 0

Question 4

Solve: x2 + 2x = 1

I’ll give brainiest pls help ASAP

Answers

Answer:

[tex]{ \tt{question \: 1 : }} \\ 2 {x}^{2} - 4x - 3 = 0 \\ x = 2.58 \: \: and \: \: - 0.58 \\ \\ { \tt{question \: 2 : }} \\ x(x - 2) = 4 \\ x = 4 \: \: and \: \: 6 \\ \\ { \tt{question \: 3 : }} \\ {9x }^{2} + 12x + 4 = 0 \\ (3x + 2)(x - 9) = 0 \\ x = \frac{ - 2}{3} \: \: and \: \: 9 \\ \\ { \tt{question \: 4 : }} \\ {x}^{2} + 2x = 1 \\ {x}^{2} + 2x - 1 = 0 \\ x = 0.41 \: \: and \: \: - 2.41[/tex]

What is the 6th term of the geometric sequence?
3,6, 12, 24, ...
A. 36
B. 27
C. 48
O D. 96

Answers

Answer:

96 is the 6th term of the geometric sequence

Step-by-step explanation:

The sequence is just adding the number twice to get the nect sequence.

So,

3+3 = 6

6+6 = 12

12+12 = 24

24+24 = 48

48+48 = 96   this is the 6th term

Hope this is helpful

What is the fraction between 6/4 and 7/4 when subtracted

Answers

Answer:

-1/4

Step-by-step explanation:

we always keep the denominator the same if they are the same number and I just subtracted the numerator

Mr.Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?

Answers

Answer: 97ft

Step-by-step explanation:

Pythagore

Strip^2 = 65^2 + 72^2 = 9409

Strip = squareroot 9409 = 97 ft

Latoya received a $30.25 gift card for a photo center. She used it to buy prints that cost 5 cents each. The remaining balance, B in dollars), on the card after buying x prints is given by the following. B = 30.25 -0.05x What is the remaining balance on the card if Latoya bought 20 prints? ​

Answers

After latoya buys 20 prints the remaining balance is $29.25

Answer question 1 in the image

Answers

Answer:

The student is correct

Step-by-step explanation:

It has the numbers next to letter with a power so nit dose have a three term degree.

how many solutions does -3x+12-9x+8=-3(4x-7)

Answers

Answer:

-3x+12-9x+8=-3(4x-7)

-3x+12-9x+8=-12x+21

-12x+21=-12x+21

21=21

infinitely many solutions

hope this helps

have a good day :)

Step-by-step explanation:

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

What is the solution to the equation?

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

-3x + 12 - 9x + 8 = - 3(4x - 7)

Simplify the equation, then we have

- 3x + 12 - 9x + 8 = -3(4x - 7)

- 12x + 20 = - 12x + 21

12x - 12x = 1

(0) x = 1

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ3

A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of $9,925 was donated to hospitals

Answers

Answer:

4%

Step-by-step explanation:

[tex]\frac{part}{entirety} *100[/tex]

[tex]\frac{397}{9925} *100 =4[/tex]

I need help answering this question

Answers

I’m pretty sure the correct answer is x=6

How does the graph of y = 3^xcompare to the graph of y = 3^-x?
A. The graphs are the same.
B.The graphs are reflected across the x-axis.
C. The graphs are reflected across the y-axis.​

Answers

Answer:

C

Step-by-step explanation:

The graphs are reflected across the y-axis.

PLEASE HELP!!!!
Pythagorean Theorem

Answers

Answer:

Pythagorean Theorem is A^2+B^2=C^2

Step-by-step explanation:

Pythagorean theorem is used in format of a2+b2= c2 the largest space is represented as c and the to other are either a or b to solve you have to multiple the a2 by itself twice and you do this for b as well, after that add both A and B. After you have added you you fine the square root of the number you got by adding, you can find the square by doing it by calculated

URGENT!!!
Select the correct answer.
A population has a standard deviation of 25.29. What is the approximate standard error of the mean for a sample size of 175?
The answer is 1.91 but can someone show me how they got that answer?
Will mark brainliest

Answers

Answer:

Standard error of the mean: 1.91

Step-by-step explanation:

The standard error of a sample mean is [tex]SEM=\frac{\sigma}{\sqrt{n}}[/tex] where [tex]\sigma[/tex] is the sample standard deviation and [tex]n[/tex] is the sample size. Therefore, the standard error of the mean for a sample size of 175 is [tex]SEM=\frac{\sigma}{\sqrt{n}}=\frac{25.29}{\sqrt{175}}=1.911744304\approx1.91[/tex]

Guys i need a little help pls ( 10 points )

Answers

Answer:

A grizzly bear's normal heart rate when not hibernating is about 50 beats per minute.

Step-by-step explanation:

10÷50=.20

please help me fill in the blanks asap !!! the first question is a yes or no question. thankyou

Answers

Answer:

No, because the longest side is too short to be the hypotenuse of a right triangle.

Step-by-step explanation:

To see if the sides form a right triangle

6² + 8² = 9²

36 + 64 = 81

100 ≠ 81

The the 3rd side is too short

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

PLEASE HELP!

Find the surface area and the volume of the solid

Answers

Answer:

50 is the surface area

Step-by-step explanation:

Jayden is going to see a movie and is taking his 3 kids. Each movie ticket costs $12 and there are an assortment of snacks available to purchase for $3 each. How much total money would Jayden have to pay for his family if he were to buy 4 snacks for everybody to share? How much would Jayden have to pay if he bought xx snacks for everybody to share?

Answers

Answer: Total price to pay with 4 snacks = $48

Total price to pay with x snacks =36+3x

Step-by-step explanation:

Given: Jayden is going to see a movie and is taking his 3 kids.

Each ticket cost = $12

Cost of all tickets = 3 x $12

= $36

Price for each snack = $3

Price for 4 snacks = $3 x 4

= $12

Total price to pay = Cost of all tickets + price of all snacks

Total price to pay with 4 snacks = $(36+12)

= $ 48

Price for x snacks =  $3x

Total price to pay with x snacks =36+3x

Math question please show work due today last day to submit Assignments or I fail please help

Answers

Answer:

A. 41

B. 1,590

C. .1

Step-by-step explanation:

A.

the equation is l*w=A

9.2*4.5=A

41.4=A

rounded it would be 41

B.

the equation is pi*r^2=A

3.14*22.5^2=A

3.14*506.25=A

1,589.6=A

^round this up to get 1,590

C.

what I did was use a*b/2 to find one side then add the other side (less complicated in my opinion)

.5*.2/2=A

.1/2=A

.05=A

.05+.05=0.1

Answer:

[tex]\text{a. }41.4\:\mathrm{m^2},\\\text{b. }1590.4\:\mathrm{cm^2},\\\text{c. }0.1\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Part A:

The figure implies a rectangle. The area of a rectangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=bh[/tex].

What we're given:

[tex]b[/tex] of 9.2[tex]h[/tex] of 4.5

Therefore, the area of the rectangle is [tex]9.2\cdot 4.5=\boxed{41.4\:\mathrm{m^2}}[/tex]

Part B:

The figure shows a circle. The area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]. In the figure, the diameter is marked as 45 cm. To find the radius, we must divided this by 2, because by definition, the radius if half the diameter. Therefore, [tex]r=\frac{45}{2}=22.5\:\mathrm{cm}[/tex] and the area of this circle, rounded to the nearest tenth, is [tex]22.5^2\pi=1590.43128088\approx \boxed{1590.4\:\mathrm{cm^2}}[/tex]

Part C:

The figure shows a triangle (polygon with three sides). The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=\frac{1}{2}bh[/tex].

What we're given:

[tex]b[/tex] of 0.4[tex]h[/tex] of 0.5

Substituting given values, we get:

[tex]A=\frac{1}{2}\cdot 0.4\cdot 0.5=\boxed{0.1\:\mathrm{m^2}}[/tex]

2x - 5y = 5
x + y =2
Solve the system of equations

Answers

Answer:

[tex]{ \bf{2x - 5y = 5 - - - (a)}} \\ { \bf{x + y = 2 - - - (b)}} \\ (a) - 2(b) : \\ - 7y = 1 \\ y = - \frac{1}{7} \\ x - \frac{1}{7} = 2 \\ x = \frac{15}{7} [/tex]

Answer:

[tex]x = \frac{15}{7} , \ y = - \frac{1}{7}[/tex]

Step-by-step explanation:

2x - 5y = 5  ---------- ( 1 )

 x + y = 2  ------------ ( 2 )

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

Substitute x in ( 1 ) :

                         2( 2 - y) - 5y = 5

                             4 - 2y - 5y = 5

                                - 7y = 5 - 4

                                   -7 y = 1

                                       [tex]y =- \frac{1}{7}[/tex]

Substitute y in ( 2 ) :

                         [tex]x + y = 2\\\\x -\frac{1}{7} = 2\\\\x = 2 + \frac{1}{7}\\\\x = \frac{14 + 1}{7}\\\\x = \frac{15}{7}[/tex]

solve the quadratic equation below for the exact values of x.

4x² - 5 = 75

Answers

Answer:

x = ±2√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsMultiple Roots

Step-by-step explanation:

Step 1: Define

Identify

4x² - 5 = 75

Step 2: Solve for x

[Addition Property of Equality] Add 5 on both sides:                                    4x² = 80[Division Property of Equality] Divide 4 on both sides:                                  x² = 20[Equality Property] Square root both sides:                                                    x = ±2√5

Answer:

[tex]4x^{2} = 75 - 5[/tex]

[tex]\sqrt{4x^{2}} = \sqrt{70}[/tex]

[tex]4x/4=8.366600265/4[/tex]

[tex]x=2.1 rounded[/tex]

Step-by-step explanation:

at a market 8 mangoes and 6 pears cost $25.00 and 4 mangoes and 8 pears cost$30.00. what is the cost of one mangoes

Answers

Answer:

the answer is 4.00 Yw for the help

PLEASE HELP I NEED THE ANSWER THANK YOU​

Answers

Answer:

B

Step-by-step explanation:

he height after t seconds of an object projected upward with an initial velocity of 48 feet per second from a 210-foot tower can be modeled by h=−16t^2 + 48t +210. The height of a neighboring 50-foot tall building is modeled by the equation h=50. Which statement best describes the validity of these solutions?

Answers

420 cheese balls in my souo

HELP 25 POINTS GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT !
Fill in the the table Use the two-way frequency table to complete the two-way relative frequency table which shows the distribution of data with respect to all types of
books. Round your answers to the nearest whole percent

Answers

Answer:

Grade 7 -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Grade 8 -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Total -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Conclusions: Everything had the same answer, 33%, 17% , and 50%.

Find the difference: 28y − 16y
A.
12y
B.
10y
C.
-44y
D.
-12y

Answers

The answer to the question is a bc 28 - 16 is 12

Answer:

A. [tex]12y[/tex]

Step-by-step explanation:

Subtract like normal 28 - 16 = 12

so then it's 12y

Please help with work shown (only if possible)

Answers

Answer:

The cylindrical one

Step-by-step explanation:

We know that the container does not have anything inside it, and we only want the surface, so we will figure out the surface area. The less surface area the package has, the less plastic is used.

The surface area for a cylinder is 2πrh +2πr². Plugging 5 in for r (the radius) and 19 in for the height, we get

2π(5)(19) + 2π(5)² = 753.98

The surface area for a rectangular prism is 2(wl + hl +hw), with 10 being the width, 12 being the length, and 19 being the height in this example, resulting in

2(10*12 + 19 * 12 + 10 * 19) = 1076

The surface area for the cylinder will clearly have less surface area/plastic

Given mlln, find the value of x.
(x+27)
(2x-7)

Answers

Answer:

x=34

Step-by-step explanation:

The angles are corresponding angles so they are equal if m is parallel to n

x+27 = 2x -7

Subtract x from each side

x+27 -x =2x-x-7

27 = x-7

Add 7 to each side

27+7 = x-7+7

34 =x

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