Gabriel deposits $2,500 into each two savings accounts, account 1 earns 4% simple interest, account 2 earns 4% compound interest annually . Gabriel does not make any additional deposits or withdrawals. What is the sum of the balances of account 1 and account 2 at the end of 3 years?

Answers

Answer 1

Answer:

See the answers below

Step-by-step explanation:

Given data

Account 1 SImple interest

P= $2500

R=4%

T= 3 years

A=P(1+rt)

A=2500(1+0.04*3)

A=2500(1+0.12)

A=2500*1.12

A= $2800

Account 2 compound interest

P= $2500

R=4%

T= 3 years

A= P(1+r)^t

A=2500(1+0.04)^3

A=2500(1.04)^3

A=2500*1.124864

A= $2812.16

Answer 2

Answer: the answer is $5.612.16

Step-by-step explanation: Part 1) Account I earns 4% annual simple interest.

we know that

The simple interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

substitute in the formula above

Part 2) Account II earns 4% interest compounded annually.

we know that    

The compound interest formula is equal to  

A=P(1+rt)

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3 years

p=$2,500

r=4%=4/100=0.04

substitute in the formula above  

A=2,500(1+0.04 * 3)

A=2,500 (1.12)

A=$2,800

Part 3) What is the sum of the balances of Account I and Account II at the end of 3 years?

Sum the two final investment

$2,800 + $2,812.16 = $5.612.16


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explain to them the process for combining integers. Helps pls 15 point

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Case 1: Steps when Adding Integers with the Same Sign

Step 1: Take the absolute value of each number.

Step 2: Add the absolute values of the numbers.

Step 3: Keep the same sign.

Case 2: Steps when Adding Integers with Different Signs

Step 1: Take the absolute value of each number.

Step 2: Subtract the number with a smaller absolute value from the number with bigger or larger absolute value.

Step 3: Copy the sign of the number with the bigger or larger absolute value.

Find the amount John owes at the end of 6 years if $5500 is loaned to her at a rate of 4% compounded monthly.

The amount owed is $__________.

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Answer:

10$

Step-by-step explanation:

Find the missing ANGLE

Someone plsss helpppp!!! I’ll give brainliest!!! :(((

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The answer is triangle sum c is 74

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Answers

Answer:

maybe 24

Step-by-step explanation:

Find the measures of the numbered angles in each rhombus

Answers

Answer:

2=41     1=49      3=49

Step-by-step explanation:

Angle 2 = 41 because it is directly across the given angle.

Angles 1 and 3 are equal, and the total number of degrees in the rombus are 180.

41+41=82

180-82=98

98 / 2 = 49

Angles and 3 both equal 49

Answer:

2=41°(Alternate Interior angles)

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3=49°(180-82/2)

Step-by-step explanation:

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Step-by-step explanation:

-9 would be the answer because it is 9 feet BELOW sea level

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Answer:

42.667 mm to 42,673 mm

Step-by-step explanation:

42.67-0.003=42.667

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Answers

Answer:

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Step-by-step explanation:

Imao

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Answers

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

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Answers

Answer:

x = 8

Step-by-step explanation:

Solve for x:

1/2 (4x - 8) + 3x = 362x - 4 + 3x = 365x - 4 = 365x = 40x = 40/5x = 8

Answer:

1/2 (4x-8) + 3x =36

(4x-8+3x×2)/2=36

(4x+6x-8)=36×2

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10x=72+8

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It’s D, C doesn’t make sense, but most definitely is A, if not B

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Answer:

The slope of the line would be 3/4

Step-by-step explanation:

When you put the coordinates in the point-slope formula, it would be 4 - (-2) over 7 - (-1). The answer would then be 6/8 but if simplified, the answer would then be 3/4.

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Answer:

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Answer:

How many square meters is a 7 meter by 8 meter rectangle? Use this easy and mobile-friendly calculator to compute the area of a rectangle given the length of ...

Step-by-step explanation:

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What is the solution given the expression 7x^-2 when x=3 and y=9 ?

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Answer:

252

Step-by-step explanation:

Y/-3=1/6 HELP PLEASE

Answers

Answer:

y = -0.5

Step-by-step explanation:

Since 6 can be multiplied to -3, we can make an equation to make 6 turn into -3

6 ÷ -2 = -3

So since we did that with 6, the denominator, we do the same with 1, the numerator

1 ÷ -2 = -0.5

So the new numerator is -0.5, and the new denominator is -3

And the two fractions are the same

A bicycle has a listed price of $848.99 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$848.99×8.75/100

=$74.29

$848.99+$74.29

=$923.3

A cylinder and Its dimentions are shown below.
6.5A
45 ft
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Answer:

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Step-by-step explanation:

Change this equation, in standard form, to slope-intercept form: 2x + 3y = 18

Answers

Answer:

y = -2/3 + 18

Step-by-step explanation:

2x + 3y = 18       -----    here is the equation...

-2x          - 2x     -----    bring the 2x to the other side

3y = -2x + 18      -----    now you have to divide everything by 3 to get y by itself

y = -2/3 + 18       -----    Done!

Answer:

y= -2/3x + 6

Step-by-step explanation:

Subtract 2 from both sides of the Equation:

3y=18-2x

Divide each term by 3 and simplify:

y= - 2x/3 +6

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Answers

Answer:

9/28

Step-by-step explanation:

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Answers

Taylor has x cats
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Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)
(Refer to picture)

Answers

Answer:quotient property

Product property

Step-by-step explanation:

Just took the test

Product and quotient properties are required to solve or simplify the  log 200 + log 5 - log 100

What are Logarithms?

A logarithm is the power to which a number must be raised in order to get some other number

The given expression is

log 200+log 5-log 100.

The sum property of logarithms is

log a+ log b= log ab

This is also a product property.

log 1000-log 100

Now we use quotient property

log 1000/100

log 10

Hence, product and quotient properties are required to solve or simplify the  log 200 + log 5 - log 100

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Answers

Answer:

50

Step-by-step explanation:

12x + 15 = 5x +  85   {Subtract 15 from both sides}

12x + 15 - 15 = 5x + 85 - 15  

          12x = 5x + 70        {Subtract 5x from both sides}

12x - 5x   = 70

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20 POINTS

Solve the system

x=y+2

3x = 6(x+2)

What is the Solution:
1 The solution is (0, -2). .
2 The solution is (2,0). :
3There is no solution. :
4 There are infinitely many solutions.


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Answer:

1

Step-by-step explanation:

What is 0.089 in scientific notation.

Answers

0.089 in scientific notion is...

8.9•10^-2

Answer:

8.9 x 10...........................

You roll a fair 6-sided die.
What is P(roll an even number)?

Answers

Answer: [tex]\frac{3}{6}[/tex] or 0.5

Step-by-step explanation:

It has 6 sides,  {1,2,3,4,5}. So the total number of cases is 6.

Even number includes  {2,4,6}.  The sample space of rolling an even is 3.

The probability of rolling an even number formula is:

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Answers

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Angle 2 is 63...it’s equal
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Study the following data set.
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What is the median of the data?

Enter your answer as a number, like this: 42

Answers

Answer:

22

Step-by-step explanation:

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

The median of the data is given by M = 22

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

Let the median of the data be represented as M

Now , the values of the data are given by set A

where the value of A = { 23 , 21 , 21 , 25 , 27 , 16 , 55 , 3 , 11 , 38 }

Now , arranging the values in ascending order is

A = { 3 , 11 , 16 , 21 , 21 , 23 , 25 , 27 , 38 , 55 }

The number of elements = 10

So , the median is M = ( 21 + 23 ) / 2

M = 44/2

M = 22

Therefore , the value of M is 22

Hence , the median is M = 22

To learn more about median click :

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