Erik deposited $3,000 into a savings account that earns 5% simple Interest.

He also deposited $3,000 into a savings account that earns 5% compound interest.

How much is the difference between the account balances after 3 years?

The solution to the equation is

x = b/a ± √(b^2/a^2) / a.

Generally, To solve the equation using the completing the square method, we first move all the terms to one side of the equation by subtracting abx and 2b² from both sides, giving us:

a²x² = abx + 2b²

Which is

a²x² - abx - 2b² = 0

Next, we need to add and subtract a term so that the left side of the equation can be written as a perfect square.

We need to find the square of half of the coefficient of the x term, which is -ab/2a.

So we add and subtract (ab/2a)^2 = (b^2/a^2) on the left side of the equation:

a²x² - abx - 2b² + (b²/a²) - (b²/a²) = 0

This gives us the left side of the equation as

(ax - b/a)² = b²/a².

We can then take the square root of both sides:

ax - b/a = ±√(b²/a²)

Finally, we can add b/a to both sides to get the solution:

x = b/a ± √(b²/a²) / a

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Answer:

[tex] {3x}^{2} + 24x - 6[/tex]

Step-by-step explanation:

To find the area of a rectangle you have to multiply the length by the width.

In your problem, the length and width are both equations, so you just have to multiply each part of the equation separately.

For example, if you were to put both equations with one over the other, you just have to multiply the aligned numbers.

The length is: x2 + 6x + 3

The width is: 3x2 + 4x - 2

and if you multiply the aligned numbers together, you get

3x2 + 24x - 6. Because:

x2 × 3x2 = 3x2,

6x × 4x = 24x,

and 3 × -2 = -6

Answer:

Blah

Step-by-step explanation:

Therefore ,We can infer the following from the rule for when a relation represents a domain and range : 16) Is not a function. 18) Is not a function, while 17) Is one.

The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these numbers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully used to produce a single value of y by using the value of x.

Here,

we have that for this issue:

It is not a function in item 16 since input 5 is translated to outputs 2 and 4.

Item 17 is a function since each input is assigned to a single output.

It is not a function in item 18 since input -2 is mapped to outputs 13 and 15.

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Answer:

Step-by-step explanation:

8 out of 20 horses are brown

so

8/20

so

2/5

so

2/5 * 15 = 6

so

6 horses should be brown out of 15

Answer:

1.8 meters

Step-by-step explanation:

Multiply 12 by 0.15 to get your answer. You multiply because the question says "15% of 12 meters" which means you need to multiply.

Answer: 1.8

Step-by-step explanation:

Multiply 12 by .15 (15% as a decimal), and you'll get 1.8 meters. You multiply, because it says 15% of 12 meters.

Answer:

Below

Step-by-step explanation:

0 ft -4.2 + 3.4 - 10 = -10.8 ft     or 10.8 ft below the surface

20% of 80 is 16 and 15% of 30 is 4.5, so the sum is 16 + 4.5 = 20.5.

Answer:

72 cm²

Step-by-step explanation:

a = large rectangle  - small rectangle

a = (12 * 10) - (8 * 6)

a = 120 - 48

a = 72 cm²

Answer:

C

Step-by-step explanation:

48 × 19.5 = 936in

936in = 78ft

Answer:

[tex].x1 - 4 { {0.36 + + \times 4xx { {052. < < }^{?} }^{2} }^{?} } \gamma eee} [/tex]

Answer:5 weeks

Step-by-step explanation:

Precipitation (inches), 2.08, 1.98, 2.64, 3.29; Snowfall (inches), 17.6, 14.2, 11.7, 3.4; The Ithaca Climate Page.

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Step-by-step explanation:

SA= 2(5×11)+(5×12)+(11×12)

SA= 2(55+60+132)

SA= 2(247)

SA= 494cm^2

Answer:

Step-by-step explanation:

surface area=4×(4×2)+2×(4×4)=32+32=64 m²

Answer:

x = 2

As x = 12/6 = 2

Step-by-step explanation:

3x-4+3x-8

3x+3x-4-8

= 6x-12

FACTORISING for check and set to zero

6(x-2)

6x -12 = 0

Cancel out left by adding 12 to both sides then applying /6 to both sides to cancel 6 left side.

6x--12 + 12 = 0 + 12

6x / 6  =  12  / 6

x = 12/6

x = 2

or balance as grouping by separation  = multiply at end by  -1

3x+3x = --4 - 8

6x  = - 12

x = - 12/6

x = - 2

x = - 2  ( -1 )

x  = 2

Answer:

24 feet

Step-by-step explanation:

ok, so first we need convert the yards into feet.

12 yards=36 feet

(one yard=3 feet)

then, we need to convert the inches into feet.

144 inches=12 feet

(one foot=12 inches)

so now, our dimensions are 36 feet by 12 feet

36-12=24

the length of the room exceeds the width by 24 feet!

hope this helped <33333333333

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

The time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
Ubehebe crater in Death Valley has a diameter of a little more than 1/2 a mile.
Circumference of the rim,
= πD

= 3.14 × 1/2
= 1.57 mile

Time = Distance/speed
Time = 1.57 / 2
Time = 0.785 hours

Thus, the time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

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Answer:

C

Step-by-step explanation:

Sorry if I’m wrong but I think I’m right

Answer:

answer is C

Step-by-step explanation:

it's just 12.95 times 3

Answer:

206

Step-by-step explanation:

A=2(wl+hl+hw)

Answer:

the change would be 2% of course

The change in the unemployment rate is -1%.

Given to us:

output grew = 7%

full-employment output grew = ΔY = 5%

According to Okun's law,

employment output - 2 (change in the unemployment rate) = output grew

5% - 2(Δu) = 7%

- 2(Δu) = 7% - 5%

- 2(Δu) = 2%

[tex]\bold {\Delta u = \frac{2\%}{-2} }[/tex]

[tex]\bold{\Delta u = -1\%}}[/tex]

Hence, the change in the unemployment rate is -1%.

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Answer:

1350

Step-by-step explanation:

if she spilt her pay EQUALLY between 3 things, and she added 450 to her savings, everything else would be 450 too. so 450 x 3 = 1350

Answer:

Brianna saved $108

Step-by-step explanation:

First take away 120 from the total, you will be left with 216

Then divide the final amount in two 216/2 will be 108

Answer:

[tex] \frac{9}{10} \times 54 = \frac{9 \times 54}{10} = \frac{486}{10} = 48 \frac{6}{10} = \frac{243}{5} [/tex]

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

Work Shown:

The equation y = a*b^x updates to y = 1500*(1.08)^x

Plug x = 15 into the equation to find out how much money you have after 15 years.

y = 1500*(1.08)^x

y = 1500*(1.08)^15

y = 1500*(3.17216911419828)

y = 4758.25367129741

y = 4758.25

Don't forget to round to the nearest cent.

Step-by-step explanation:

No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.

Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.

Answer:

27.72

Step-by-step explanation:

Just sum up all the sides together

Answer:

6.79%

Step-by-step explanation:

1.00 - 3=0.97

7 * 0.97 = 6.79