Gina deposited $1500 in an account that pays 4% interest compounded quarterly. What will the balance be in two years?

Answer: 1953

Step-by-step explanation: You need to subtract 7768 and 7117 to find the average change in 2 years; you get 651, divide this by 2 to find the amount of change in 1 year and you'll get 325.5, now if we take 325.5 times 6 (the amount of years until 2016) you will find 1953 as the answer.

Answer:

the lines are perpendicular

Step-by-step explanation:

Answer:

See explanation!

Step-by-step explanation:

The contrapositive of a conditional is similar to, yet different from, the inverse of the conditional.

The best way to explain this is to create an example. You should start by creating a conditional; you can then form the conditional's inverse and contrapositive.

Here is an example:

Conditional: If C, then D. (starting statement)

Inverse: If not C, then not D. (opposite of the conditional)

Contrapositive: If not D, then not C. (reversed opposite of the conditional)

Based on the information from the example, you can conclude:

Primary Similarity:

Both the contrapositive and the inverse are opposites of the conditional (both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances).

Primary Difference:

The contrapositive is a reversed version of the inverse; this causes them to most commonly have different meanings.

I am sure you could find more similarities/differences, but these were the two that stood out to me the most!

I hope this helps! :)

Answer:

-7n + -8

= -7n - 8

= -(7n + 8)

Step-by-step explanation:

brainliest plz

Answer:

1/2 of an answer is zero answer.i dont know

Step-by-step explanation:

Answer:

inequality: n/4 < -1

n < -4

Step-by-step explanation:

1. "The quotient of a number and 4" means that we're dividing a number, n, by 4: [tex]\frac{n}{4}[/tex]. "Less than -1" means that we have to use the < (less than) sign and put -1 after it. When we put these terms in a quantity, they look like this: [tex]\frac{n}{4} < -1[/tex].

2. Now, let's solve the inequality above.

Step 1: Multiply both sides by 4.

Therefore, the inequality is n/4 < -1, and the solution to that inequality is n < -4.

Since a > 1, b cannot be greater than 15, hence the value of a can be 3, 4, 5, and 10

Given the expression 15x + 20=a(bx + c),

To get the value of a, we will need to factor out the given expression as shown:

15x + 20=a(bx + c)

15x + 20=abx + ac

Comparing both sides

15x = abx

15 = ab

a = 15/b

Since a > 1, b cannot be greater than 15

Hence the value of a can be 3, 4, 5, and 10

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Answer:

Step-by-step explanation:

When y =f(-8) the answer is y = -2

Answer:

Step-by-step explanation:

1. 9.3521x10^12

2. 8.07x10^-3

3. 8x10^8

4. 5.2x10^4

5. 4.8x10^4

6. 8.369x10^9

7. 9x10^14

8. 2x10^2

9. 2.44x10^-3

10. 9x10^4

Answer:y=16.8

Step-by-step explanation:

proportional means that x/y= constant

so there the constant is 1.75

if x=29.4 then 29.4/y =1.75

y = 29.4/1.75

Answer:

Domain: {x∈R}

Range: {f(x)∈R | f(x) ≥ 0}

Step-by-step explanation:

The domain of a function is, in simple terms, all the possible x values of a function (input values), and as the graph shows that all x values are possible (x, 0 and -x) meaning x can be any rational number, represented by the R and the subset symbol (∈).

The range is all the possible f(x) values (outputs/y values) and if you look at the graph you see that it isn't possible for the f(x)/output/y values to be negative so we write:

{f{x}∈R (f(x)/output/y value is rational) | (and) f(x) ≥ 0 (f(x)/output/y value is bigger or equal to 0, not negative)}

Hope I helped :)

Answer:

1.05

Step-by-step explanation:

you do 5.25/5 and that makes 1.05

Hi there!  

»»————-　★　————-««

I believe your answer is:  

$1.05 per bottle

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{\text{Price}}{\text{Number of Water Bottles}} \rightarrow\frac{5.25}{5}\rightarrow\frac{5.25/5}{5/5}\rightarrow\ \frac{1.05}{1}\rightarrow \boxed{\$1.05}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

hope it will helpful for uhh

make me brainliest plz

Answer: Points A, D, and G are collinear, meaning they all lie on the same line.

Step-by-step explanation:

Answer:

A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at -6.If the point is to the right of 0, then the point is located at 6.Whether the point is to the left or right of 0, the distance from 0 to the point is 6 units.

Step-by-step explanation:

Have a good day :)

Answer:

a) 3/12 = 1/4

b) 6/12 = 1/2

c) 9/12 = 3/4

Step-by-step explanation:

To find the distance traveled by the hour hand, subtract the beginning position from the ending position. For example, in a, the distance traveled between 4:00 and 7:00 is three hours. Since there are 12 total hours on a clock, the fraction would be 3/12 (traveled/whole revolution). Simplify further to get 1/4.

The other two problems are very similar to the explanation above. Treat the second problem's ending time as 14:00, since it is two hours after 12:00.

Hope this helps!

Step-by-step explanation:

6m-1+73=180 (linear pair)

6m+72=180

6m=180-72

6m=108

m=108/6

m=18°

Answer:

a=3/5 or 0.6

Step-by-step explanation:

a-8/5-2/3a=-7/5

Step 1: Multiply both sides

15a-24-10a=-21

Step 2: Combine like terms

5a-24=-21

Step 3: Calculate and divide both sides by 5

5a=3

Solution:

a=3/5 or 0.6

Hello!

The slope of a line is found using the following formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{9-5}{-2-2}[/tex]

[tex]m=\frac{4}{-4}\\m=-1[/tex]

So the slope is -1.

Hope this helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Step-by-step explanation:

câu này 2x3 hay 2^3 vậy bạn

Step-by-step explanation:

hope this helps, if it's wrong just tell me but I am confident it's right

Answer:

12

Step-by-step explanation:

because 20÷1/4=5

so 5 ounces

and then the 3 ounces for yourself so 8 ounces taken away

Step-by-step explanation:

rewriting the third equation

[tex]4x - y + z = - 5 \\ - x + y - z = 5 \\ 2x - y - z = 1[/tex]

add to second equation to the first

[tex]4x - y + z = - 5 \\ + (- x + y - z )= 5 \\ = 3x = 0 \\ x = 0[/tex]

[tex] - y + z = - 5 \\ y - z = 5 \\ - y - z = 1[/tex]

I add third equation to the second

[tex]y - z = 5 \\ + ( - y - z) = 1 \\ = - 2z = 6 \\ z = - 3[/tex]

substitute z = -3 into either one of the other two equations and solve for y

[tex] - y + ( - 3) = - 5 \\ - y - 3 = - 5 \\ - y = - 2 \\ y = 2[/tex]

x = 0

y = 2

z = -3

Answer:

x=0,z=-3,y=2

Step-by-step explanation:

sry for late response

Answe840is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

5 could be the common denominator

Step-by-step explanation:

Answer:  Natasha = 480; Richard = 240, Stephen = 80

Step-by-step explanation:

Let N, R, and S stand for the amounts Natasha, Richard and Stephen receive.  The problem tells us that:

N = 2R, and

R = 3S

We know that N+R+S = 800

Since N=2R and R=3S, N = 6S

N+R+S = 800

6S+3S+S=800

10S=800

S=80

R=3S or 240

N=2R or 480

Conclusion:

N gets 480

R gets 240,

and S gets 80

That adds to 800.

. . .  AND the last conclusion is that I need to meet Natasha.  Please send Stephen home.

Answer:

Step-by-step explanation:

38,500-36,000=2,500

B. The difference in the starting salaries is $2,500.

D. Luisa will make more money in the first 8 years.

The required scenario are,
(1) The difference in the starting salaries is $2,500.
(2) Damon will make more money in the first 8 years.

Given that,
Luisa took a job in which her salary can be modeled by the exponential function y = 36.000(1.025)", where x is the number of years after she is hired. Damon took a job with a starting salary of $38.500 and yearly raises of $800.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
According to the question,
Difference in starting salary = 38500 - 36000 = $2500
Luisa's salary after 8 years = $43862.50
Damon's salary after 8 years  = $45108.89

Thus, the required scenario is,
(1) The difference in the starting salaries is $2,500.
(2) Damon will make more money in the first 8 years.

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Answer

[tex]\frac{0.525}{1}[/tex]

Step-by-step explanation:

The solution to the fraction in simplest form is 21/40

The fraction is given as

3/4 × 7/10

The next step is to multiply both fractions

= 3×7/4×10

= 21/40

The result gotten from the multiplication of both fractions cannot be broken down into simplest forms. Therefore the answer is 21/40

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Answer:

Step-by-step explanation:

The easy way is to compare the leading terms or constants.

The leading term is:

The constant is:

The leading term is:

The constant is:

We see both the leading terms (10x³ ≠ 15x³) and constants (-18 ≠ -12) are different so the equation is false.

We see one of the factors is same on both sides:

The other factors are:

Since this factor is different on both sides, the equation is false

False

How?

Let 5x^2-2x+6 be A

The expression will be

[tex]\\ \sf\longmapsto A(2x-3)=A(3x-2)[/tex]

[tex]\\ \sf\longmapsto 2x-3=3x-2[/tex]

But it's impossible

[tex]\\ \sf\longmapsto 2x-3\neq 3x-2[/tex]

The distance between two points is the number of units between them

The possible value of x is -66

The given parameters are:

[tex]\mathbf{S = (-6,8)}[/tex]

[tex]\mathbf{T = (x,-3)}[/tex]

[tex]\mathbf{ST = 61}[/tex]

Distance ST is calculated using:

[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 - -3)^2}}[/tex]

[tex]\mathbf{d = \sqrt{(-6 - x)^2 + (8 +3)^2}}[/tex]

[tex]\mathbf{d = \sqrt{(-6 - x)^2 + 11^2}}[/tex]

Substitute 61 for d

[tex]\mathbf{ \sqrt{(-6 - x)^2 + 11^2} = 61}[/tex]

Square both sides

[tex]\mathbf{ (-6 - x)^2 + 11^2 = 61^2}[/tex]

[tex]\mathbf{ (-6 - x)^2 + 121 = 3721}[/tex]

Subtract 121 from both sides

[tex]\mathbf{ (-6 - x)^2 = 3721 - 121}[/tex]

[tex]\mathbf{ (-6 - x)^2 = 3600}[/tex]

Take square roots of both sides

[tex]\mathbf{ -6 - x = 60}[/tex]

Add 6 to both sides

[tex]\mathbf{ - x = 60 + 6}[/tex]

[tex]\mathbf{ - x = 66}[/tex]

Multiply both sides by -1

[tex]\mathbf{ x = -66}[/tex]

Hence, the possible value of x is -66

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