: Practice & Problem Solving
Part 1 of 2
Marsha deposited $9,000 into a savings account 3 years ago. The simple interest rate is 5%. How much money did Marsha earn in interest?
Substitute the values into the equation.

Answer:

The word amphibian is a Greek word. It is the combination of the world “amphi,” which means dual, or both kinds and the word “bio,” which means life.

Step-by-step explanation:

The name amphibian, derived from the Greek amphibios meaning “living a double life,” reflects this dual life strategy—though some species are permanent land dwellers, while other species have a completely aquatic mode of existence. Approximately 8,100 species of living amphibians are known.

Step-by-step explanation:

5x - 3 = 5

5x = 8

x = 8/5 = 1.6

5x = 2

x = 2/5 = 0.4

both equations are vertical lines.

the first one (x = 1.6) was moved (translated) left by 1.2 units to become x = 0.4.

The best description for the inheritance pattern will be incomplete dominance because the offspring display an intermediate form of tail length.

The relationship is referred to be "complete dominance" when the phenotype (the observable trait) of the heterozygote is identical to the dominant homozygote. Complete dominance isn't necessarily the result, but rather imperfect supremacy, as heredity is full of variances and changes.

Although we are aware of total dominance, you might still be unclear as to how partial dominance varies. Is it essentially what the name implies? When one allele for a certain trait is not completely dominant over its counterpart, this is known as partial dominance (or the other allele). The outcome is a mixed phenotype, which is evident in the progeny.

Why does this matter? Each parent's characteristics are neither dominant nor recessive. A third phenotype that combines the traits of the two homozygotes results from a partial dominance relationship between two alleles; this is known as a "intermediate form of inheritance." The features are combined and appear to be "blended," but the alleles do not blend yet, partial dominance is frequently referred to as "blending."

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Answer: incomplete dominance because the offspring display an intermediate form of tail length.

Or C.

Step-by-step explanation:

taking the test on edge

Given all angle information, the assumption that sides [tex]\overline {BC}[/tex] must not be congruent to [tex]\overline{DA}[/tex] to give an appropriate answer. (Right choice: None)

Any quadrilateral can be divided into two triangles by adding a diagonal. By Euclidean geometry, the sum of the measures of internal angles equals 180°. Likewise, we can determine how short or long a side is in terms of side BD by law of sine:

AD / sin 60° = AB / sin 63° = BD / sin 57°

1.155 · AD = 1.122 · AB = 1.192 · BD

AD = 0.971 · AB = 1.032 · BD

BC / sin 57° = CD / sin 55° = BD / sin 68°

1.192 · BC = 1.221 · CD = 1.079 · BD

BC = 1.024 · CD = 0.905 · BD

By direct inspection and use of equality properties, we find the existence of an absurdity, because 1.032 · BD = 0.905 · BD, then [tex]\overline {BC}[/tex] must not be congruent to [tex]\overline{DA}[/tex] to satisfy all angle conditions.

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The like radicals are 3x√x²y, –12x√x²y, x√yx² and 2√x²y.

A radical expression is an expression containing a square root.

Given are some expressions,

Like radicals are those whose entities in the square root are the same.

So, from the given options, like radicals are:

3x√x²y = This is like radical with the entity x²y  inside the square root.

–12x√x²y = This is like radical with the entity x²y  inside the square root.

x√yx² = This is like radical with the entity x²y  inside the square root.

2√x²y = This is like radical with the entity x²y  inside the square root.

Hence, The like radicals are 3x√x²y, –12x√x²y, x√yx² and 2√x²y.

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Answer:

5494.5

Step-by-step explanation:

[tex]\frac{1}{3}(37)(33)(13.5)=5494.5[/tex]

Answer:

graph C

Step-by-step explanation:

if x≥ 0

x + 1 > 7/2

x > 7/2 - 1

x > (7-2)/2

x > 5/2

if x < 0

-x + 1 > 7/2

- x > 7/2 - 1

- x > 5/2

x < -5/2

final solutions

x < -5/2 ∨ x > 5/2

The equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3.

What is a perpendicular line?

If two geometrical objects overlap at a right angle, they are perpendicular.  It can be defined between two planes, two lines, or two planes and another line.

Here, we have

Given

The point (1, 6) and is perpendicular to the line x + 3y = 27

The slope of the line x + 3y = 27

m = -1/3

The slope of the line perpendicular to the line x + 3y = 27

M = 3

The equation of the line:

y - 6 = 3(x - 1)

y = 3x + 3

Hence, the equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3.

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The polynomial p(x) must have at least two zeros, since it has three relative extrema.

What is polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x²- 4x + 7 is an illustration of a polynomial with a single indeterminate x.

Here i would think that since there are only 3 critical points given and no other information other than that those are the only critical points that p(x) would not have any real zeros.

At each of the relative extrema, the value of the function changes from increasing to decreasing or vice versa, meaning that the function crosses the x-axis at that point, which is a zero. Therefore, p(x) must have at least two zeros.

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Answer:

the HL Postulate

Step-by-step explanation:

The diagram gives us the information that 2 sides and 1 angle are congruent. Since the sides we know are a leg and the hypotenuse, and it is a right angle- we know to use the HL (Hypotenuse-Leg) Postulate.

If the angle given was the angle between the hypotenuse and the leg, we could use the SAS (Side-Angle-Side) Postulate. But, since it is the right angle instead- we know to use the HL Postulate!

Answer: -81

Step-by-step explanation: So, when finding exponents, you have to multiply the # in parentheses (in this case, -3) and multiply it by itself 4 times, so once is 3 x 1, twice is 3 x 3 = 9, three times is 9 x 3 = 27, and finally, 27 x 3 = 81. Oh, and a positive times a negative is ALWAYS negative. I hoped this explains why this is the rule for exponents.

The equivalent expressions of 9/7x-3/4 are 9/7x+(-3/4) and -3/4+9/7x.

An expression is combination of variables, numbers and operators.

The given expression is 9/7x-3/4.

Nine by seven times of x minus three by four.

x is the variable of expression.

The equivalent expression is an expression whose value is same but looks different.

9/7x-3/4.

By commutative property

-3/4+9/7x is an equivalent expression of 9/7x-3/4.

9/7x+(-3/4).

When we simplify we get 9/7x-3/4.

-9/7x+3/4 is also a equivalent expression we get it by multiplying with negative.

Hence, 9/7x+(-3/4) and -3/4+9/7x are equivalent expressions of 9/7x-3/4.

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Answer:

1. B

2. A

3. B

4. D

5. C

It would provide a reference for the effects of random environmental factors.

A control group is a statistically significant subset of experiment participants who are not exposed to factors. For example, in a pharmaceutical medication research, the control group is given a placebo, which has no impact on the body. Assume you want to put a new ADHD medicine to the test. One group would be given the new drug, while the other would be given a tablet that looked precisely like the one given to the others, but it would be a placebo. The control group would be the group that receives the placebo.

Here,

It would serve as a reference for the effects of uncontrollable environmental elements.

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the dividend payment from the proceeds from the issuance of common stock to get our total financing activities of $54,400.

A. Cash flow associated with repayment of bond liabilities: $88,400

B. Cash flow associated with the issuance of common stock: $92,800

C. Financing activities section of the statement of cash flow:

Bonds payable:

Repayment of bonds payable ($88,400)

Common stock:

Proceeds from issuance of common stock 92,800

Dividends paid (38,400)

Total financing activities $54,400

The financing activities section of the statement of cash flow shows the cash flow associated with all financing activities of the company. First, we calculate the cash flow associated with the repayment of the bonds. We subtract the Year 2 balance from the Year 1 balance, which gives us a cash flow of $88,400. Next, we calculate the cash flow associated with the issuance of common stock. We subtract the Year 1 balance from the Year 2 balance, which gives us a cash flow of $92,800. Finally, we subtract

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Answer:

1.375

Step-by-step explanation:

11/8=1.375

If Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died , then the most appropriate for the domain of h is (c) -2 ≤ t ≤ 98  .

The term Domain is defined as the set of its possible inputs .

number of days before which the Pooja's plant sprouted = 2 days ,

the number of days Pooja had the plant is = 98 days ,

the height of the plant is denoted by the function ; h(t) .

where "t" is the number of days after she bought the plant .

From the above data , we can conclude that the domain for the function h(t) is -2 ≤ t ≤ 98   .

Therefore , the correct option is (c) -2 ≤ t ≤ 98  .

The given question is incomplete , the complete question is

Pooja's plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died. at its tallest, the plant was 30 centimeters tall. h(t) models the height of Pooja's plant (in centimeters), t days after she bought it. Which number type is more appropriate for the domain of h ?

(a) 0 ≤ t ≤ 30

(b) 0 ≤ t ≤ 100

(c) -2 ≤ t ≤ 98

(d) 2 ≤ t ≤ 30

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Answer:

Its been a minute since I've done this math

Step-by-step explanation:

This statement demonstrates the substitution property.

The substitution property states that if two expressions are equal, then we can substitute one expression for the other in any equation or inequality. In this case, "A" is an acute angle, and "m2A" is the measure of twice that angle. The statement says that if we double the measure of an acute angle, the result will be 30 degrees. Therefore, we can substitute "m2A" for 30 degrees in any equation or inequality.

The reflexive property states that any number or object is equal to itself. The symmetric property states that if a = b, then b = a. The transitive property states that if a = b and b = c, then a = c. None of these properties are demonstrated in the given statement.

Answer:

Peyton would have 3 papers remaining to grade after working for 12 hours.

Step-by-step explanation:

1. Make an equation to represent this problem.

87 - (7 * 12) = r

(r represents how many papers are remaining after 12 hours.)

2. Solve 7 * 12.

87 - (84) = r

3. Subtract.

3 = r

If 1=3, 2=3, 3=5, 4=4, and 5=4, then it is not possible to determine the value of 6. In this scenario, the numbers are not being used in a consistent or logical manner, so it is impossible to predict what value 6 might have. In general, it is not possible to determine the value of a number based on a series of equations that do not follow the rules of arithmetic.

Answer: y= 2x

Step-by-step explanation:

The linear function is y=mx+b

In this case, the m or slope is 2

And the b or y-intercept is 0

So we have the equation

y= 2x

The evaluation is 10.67 of given geometric progression.

A geometric progression is a set of elements where each succeeding element is created by multiplying the one before it by a number called the common ratio. The standard representation for a geometric progression series is a, ar, ar²,..., where an is the first term and r is the common ratio of the sequence.

The ratio between two consecutive numbers, or a number divided by the number before it in the sequence, is known as the common ratio since it is the same for all numbers or common.

The sum of a finite geometric series can be found using the formula:

[tex]a (1-r^{n}) / (1-r)}[/tex].

Where a is the first term and r is the common ratio between successive terms.

To find the ratio of successive terms by plugging into the formula

r = aₙ +1 / (aₙ)

Simplifying,

r =1/4

And the first term is;

when n=1, a = 8

Substituting all the values to the formula,

The summation of GP

= 8 x { 1 - (1/4)¹⁰ } / {1- (1/4)}

= 8 { 1 - (1/1048576) / (3/4)

= 8 x {(1048576 - 1) / 1048576} x (4/3)

= 8 x (1048575 / 1048576) x (4/3)

= 8 x 349525 / 262144

= 2796200 / 262144

= 10.6666

The decimal form is 10.67.

Therefore, the evaluation is 10.67.

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The vehicle travels 110 feet distance in 1 second duration.

mph expresses the speed or velocity in miles per hour. Speed means rate of change of distance with respect to time.

speed = distance/time

hence, distance = speed x time

the above equation is the relationship between distance, speed and time

we will use the above equation and convert miles to feet and second to hour.

given, speed of vehicle = 75 mph

time = 1 second =1/3600 hour as 1 hour = 3600 second

distance travel by vehicle = speed x time

                                            = 75 mph x 1/3600 hour

                              distance              = 0.020833333 miles

               we know, 1 mile =5280 feet

  distance in feet = 110 feet

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a) The category that shows a decrease in the average monthly expenditure between 2010 and 2020 is Leisure.

b) The average monthly expenditure on food was 175 euros more in 2020 than in 2010.

c) The total expenditure in 2020 is of: 1,625 euros.

The bar chart shows the average monthly expenditure in five categories, considering that:

Then a decrease happens for the category which the blue bar is greater than the gray bar, which is Leisure.

The averages on Food are given as follows:

Hence the difference is of:

325 - 150 = 175 euros.

From the gray bars, the 2020 total is given as follows:

250 + 425 + 325 + 550 + 75 = 1,625 euros.

The bar graph is given by the image shown at the end of the answer.

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Answer:

83% to (rare photos) becaheyhw euehem e the same time of 6year and I was in a group with my wife and a daughter and my daughter in the night and I was so happy 4and was a 4ship 4in who 5is and my daughter and my husband were so young that I was in the same 5 year olds and I was in the

The recurrence relation for the number of bit sequences of length n with an even number of 0s is 2 [tex]a_{n-1}[/tex] for n>=2 and a1=1.

Let a be the even number of 0s in all the bit sequences of length n.

1st instance. The sequence begins with a 1, and there are [tex]a_{n-1}[/tex] such strings of length n-1 that must contain an even number of 0s.

Second instance. The sequence must begin with a 0, followed by an odd number of 0s in the subsequent n-1-length sequence. An even number of 0s can be found in one of the [tex]2^{n-1}[/tex] possible bit strings, so [tex]2^{n-1} -a_{n}[/tex] strings have an odd number of 0s.

[tex]a_{n}= a_{n-1}+2^{n-1} -a_{n-1}\\a_{n}=2^{n-1}[/tex]

Therefore, the recurrence relation is

an = 2[tex]a_{n-1}[/tex] for n >= 2.

a1 = 1.

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Answer:

D

Step-by-step explanation:

The correct answer is D. The SSS Triangle Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. In the given situation, triangle ABC and triangle DEF are congruent because all three sides of triangle ABC are congruent to the corresponding sides of triangle DEF.

Answer:

y=-0.5

Step-by-step explanation:

3(3)-2y=10

9-2y=10

-2y=1

y=-1/2

Answer:

y=-0.

Step-by-step explanation:

Answer:$22.50 regular price

Step-by-step explanation: RP=Regular Price

RP-20%of RP=18

RP-0.20RP=18........RP =1RP

1RP-0.20RP=18

0.80RP=18

RP=18/0.80

RP=$22.50

Answer:

22.50

Step-by-step explanation:

other answer is cryptic so here is a full explaination

To find the regular price of the hat, we need to determine the amount of the discount and then add that amount to the discount price.

The discount on the hat is 20% of the regular price, or 20/100 * regular price. The discount price is $18, so we can set up the equation:

discount price = regular price - (20/100 * regular price)

Substituting the known values into the equation, we get:

$18 = regular price - (20/100 * regular price)

Solving for the regular price, we find that the regular price is $22.50. This is the price of the hat before the discount.