Write the equations of each line in slope-intercept form.

The unit of the rate of change is (b) dollars per month

From the question, we have the following parameters that can be used in our computation:

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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Since \(A^2=A\), we have

\((I + A)^2 = I^2 + IA + AI + A^2 = I + A + A + A = I + 3A\)

\((I + A)^3 = (I + A) (I + 3A) = I^2 + 3IA + AI + 3A^2 = I + 3A + A +  3A = I + 7A\)

Then the target expression is

\(7A - (I + A)^3 = 7A - (I + 7A) = \boxed{-I}\)

Answer:

$24

Step-by-step explanation:

100x.08 (must move the decimal twice to the right)x 3

As the given equation is (36)ˣ⁺²  = 6 , then the solution for the given equation is x ≈ -1.54.

The given equation in the question is (36)ˣ⁺²  = 6

according to the given equation , the goal is to solve the equation for x.

For solving this equation ,

we'll have to use logarithmic operations which is as follows:  

log36(6) = x+2.

We will be further using a calculator to determine the logarithmic value: log36(6) ≈ 0.4607.

Now, By subtracting 2 from both sides, we will get the value of x as:

x ≈ -1.54.

When we round off this value to the nearest 100th, we will get  -1.54.

Thus , the solution for the given equation is x ≈ -1.54.

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Answer:

2.9

Step-by-step explanation:

.05 rounds up.

2.9

The first plane is farther from the airstrip after the second leg

The first plane

Initial distance = 150 miles west

Additional distance = 220 miles 30 degrees SW

This means that

Additional distance = 220 * cos(30) miles SW

Additional distance = 190.53 miles

Total distance = 150 + 190.53 = 340.53

The second plane

Initial distance = 220 miles east

Additional distance = 150 miles x degrees SE

This means that

Additional distance = 150 * cos(x) miles SW

Total distance = 220 + 150 cos(x)

Given that

x < 30

We have

Second plane < First plane

220 + 150 cos(x) < 340.53

Evaluate

cos(x) < 0.8035

Take the arc cos of both sides

x < 36

x < 36 is not the same as x < 30

Hence, the first plane is farther

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Answer:

I believe c = 602

5c-4c=602

c=602

Answer:

I took the test!!

Step-by-step explanation:

Pit this in your calculator exactly like this 4,000(1.05)^5 and you get the answer 5,105.12625. So round your answer to the nearest dollar, which is 5,105.

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer:

Option (E)

Step-by-step explanation:

In the figure attached,

Given a isosceles right triangle with two equal legs measuring \(3\sqrt{2}\) units

By Pythagoras theorem,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

Since, hypotenuse = h

Leg 1 = Leg 2 = 3√2

Now we substitute the values,

h² = (3√2)² + (3√2)²

h² = 18 + 18

h = √36

h = 6 units

Therefore, length of the hypotenuse is 6 units.

Option (E) will be the answer.

Using the Pythagorean Theorem, the length of the hypotenuse is: E. 6.

Given that the hypotenuse length of a right triangle is c, and the other legs are a and b, the Pythagorean Theorem states that: c = √(a² + b²).

Thus:

h = √((3√2)² + (3√2)²)

h = √(18 + 18)

h = √36

h = 6

Therefore, using the Pythagorean Theorem, the length of the hypotenuse is: E. 6.

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Answer:

Take the number shown and divided by 5000

Step-by-step explanation:

Answer:

a) is correct

b) 0.3768

c) 0.5246

Step-by-step explanation:

b)

456 + 1428 = 1884

1884 ÷ 5000 = 0.3768

c)

739 + 456 + 1428 = 2623

2623 ÷ 5000 = 0.5246

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Answer:

wheres the info

Step-by-step explanation:

Answer:

A: 10.5 m

Step-by-step explanation:

i think it's A, i may be wrong! hope this helps!!~

The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

Anuk estimated the quotient of 15 1/3 / -4 2/3 to be 3 This is incorrect.

It is important to note that a expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, Anuk estimated the quotient of 15 1/3 / -4 2/3 to be 3. This will be:

= 15 1/3 ÷ - 4 2/3

= 15 / -5

= -3

It is incorrect as the answer is -3.

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Anuk estimated the quotient of 15 1/3 / -4 2/3 to be 3. Is this correct?

Answer:

25 cents per lemon

Step-by-step explanation:

Simply divide

Answer:

See below

Step-by-step explanation:

When solving real world problems relating to unit price, divide the cost by the amount.

2.5/10

The unit price is 0.25.

-hope it helps

Answer:

6.61=6.610

Step-by-step explanation:

6.61=6.610

After point we can increase no. Of zero.

The completed two-column table used to prove that the triangles ΔUVW and ΔXST are congruent (ΔUVW ≅ ΔXST) can be presented as follows;

  \({}\)  Statements                                Reasons

1. ∠SXT ≅ ∠VUW                \({}\)            Given

2. ∠UVW ≅ ∠TSX \({}\)                          Given

3. \(\overline{TU}\) ≅ \(\overline{WX}\)    \({}\)                               Given

4. TX = WX + TW \({}\)                            Additive property of length

5. UW = TU + TW \({}\)                           Additive property of length

6. TX = TU + TW\({}\)                              Substitution

7. UW = TX  \({}\)                                     Substitution

8. ΔUVW ≅ ΔXST \({}\)                           SAA congruence rule

Congruent triangles are triangles such that the lengths of the three sides on a triangle are the same as the lengths of the three sides on the other (congruent) triangle.

The details of the reasons used to prove that the triangles ΔUVW and ΔXST are congruent are presented as follows;

Additive property of length

The additive property of length, which can be highlighted by the segment addition postulate, which states that a point B is located on a line segment AC, if and only if we have;  AB + BC = AC

Substitution property

The substitution property states that if a = b then b can substitute a in any expression and the value of the expression remains the same, or in any equation and the equation remains valid.

SAA congruence rule

The Side-Angle-Angle, SAA congruence rule states that if two angles and a non included side of one triangle are congruent to two angles and a non included side in another triangle, the condition indicates that the triangles are congruent.

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Answer:

26.6 pounds

Step-by-step explanation:

Hope this helps :)

Have a great summer!! :)

Answer:

26.6 pounds

Step-by-step explanation:

You must find 16.2% of 164.

10%=16.4

5%=8.2

1%=1.64

0.1%=0.164

0.2%=0.328

16.4+8.2+1.64+0.328=26.568

rounded = 26.6 pounds

The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).

How to know if the lines intersect in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.

Now,

On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.

The graph models the growth of each plant since the day they were planted.

The intersection of the two lines represents the days after being planted were the two plants the same height.

The answer is that 2 days after being planted, the two plants are the same height.

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The answer is that 2 days after being planted, the two plants are the same height.

How to know if a point lies in the graph of a function?

The answer is that 2 days after being planted, the two plants are the same height.

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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer: on the number line it would go from 0 and with a positive line go to 3 and when it’s dive down it would with a negative line go 9 spaces towards the negative side of the number line and the answer would be -6 I think that kind of exsplains it step by step there but let me know if you information :) please leave a thanks and five stars I need some for my own quiz! Thank you!

Step-by-step explanation:

Answer:

$44.40

Step-by-step explanation:

100%-70%=30%

30/100x148=44.40 (discounted price)

Appreciate to be marked brainliest. Hope this helps!

Answer:

3k

Step-by-step explanation: