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2 years ago

Is 4 over 6 greater or less than 12 over 12

1 answer:

8 0

To compare fractions with unlike denominators convert them to equivalent fractions with the same denominator. Compare fractions: If denominators are the same you can compare the numerators. The fraction with the bigger numerator is the larger fraction.

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The following graph represents a retirement savings account after the owner of the account begins withdrawing 5% each year.

Dmitry [639]

Answer:

Options 2 and 5 are true.

Step-by-step explanation:

We are given that,

The graph represents the amount in the savings account after the owner withdraws the money each year.

According to the options, we have,

1. As time increases, the amount of money in the savings account is decreasing. So, the function is an example of exponential decay.

2. Also, the initial amount of money in the account is 500,000 dollars.

3. After 10 years, the amount in the account is less than 300,000 dollars.

4. Now, the amount withdrawn by the owner is decreasing exponentially and so cannot be same each year.

5. Further, the y-intercept is the point when y= 500,000 dollars, which is the amount of money in the account when the owner started withdrawing.

Hence, we get that,

Options 2 and 5 are true.

6 0

3 years ago

Read 2 more answers

Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0

2 years ago

Which expressions represent rational numbers? Check all that apply.

Blizzard [7]

Answer:

they're all rational numbers

Step-by-step explanation:

rational numbers are positive, negative, or zero integers. they can be decimals as well.

first expression = 2.449.... + 3 = 5.449 (yes, it is rational)

second expression = 8 + 0.54545454... = 8.545454... (yes, it is rational)

third expression = 6 + 4.582575... = 10.4582575... (yes, it is rational)

fourth expression = 4 + 13 = 17 (yes, it is rational)

fifth expression = 17.43... + 7 = 24.43.... (yes, it is rational)

sixth expression = 6.6332... + 5 = 11.6332 (yes, it is rational)

8 0

2 years ago

What is the slope of this line?

sergiy2304 [10]

Answer: 2/1

Step-by-step explanation:

2/1 because you use rise/run which is moving up 2 units from (0,3) to (0,5) and then moving right 1 unit to (1,5)

8 0

2 years ago

Read 2 more answers

5(1 + 4m) – 2m = -13

Oksana_A [137]

Answer and Step-by-step explanation:

Solve for m.

First, distribute the 5.

5 + 20m - 2m = -13

Combine like terms.

5 + 18m = -13

Subtract 5 from both sides of the equation.

18m = -18

Divide by 18 to both sides of the equation.

m = -1 <- This is the answer.

#teamtrees #PAW (Plant And Water)

3 0

2 years ago

Read 2 more answers