Two brothers, Mark and Steven, each inherit $45000. Mark invests his inheritance in a savings account with an annual return of

3.2 %, while Steven invests his inheritance in a CD paying 4.5 % annually. How much more money than Mark does Steven have after

1 year?

Answer:

The slope of the line passing through the points \((-2, 2)\) and \((-5, 5)\) is equal to: \(-1\)

Step-by-step explanation:

The slope of a line can be found with the following formula

\(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Where \(x_2 > x_1\)

Then substituting the values ​​with the given ones we have

\(m=\frac{y_2 - y_1}{x_2 - x_1} = \frac{2-5}{-2-(-5)}=\frac{-3}{-2+5}=\frac{-3}{3} =-1\)

So the slope of the line passing through the given points is \(-1\)

None of the options give the same fees for a session of x hours.

Given,
x + 20/2 = 3x
when two tutoring services with different rate plans charge the same fees for a session of x hours.

In mathematics, it deals with numbers of operations according to the statements.

x + 20/2 = 3x
x + 10 = 3x

A) x= 10
10 + 10 = 3*10
20 ≠ 30

B) x=4
4 + 10 = 3 * 4
14 ≠ 12

C) x= -14
-14 + 10 = 3 * -14
-4 ≠ 42

D) x=-17
- 17 + 10 = 3 * - 17
-7 ≠ -51

Here, none of the options give the same fees for a session of x hours.

Thus, none of the options give the same fees for a session of x hours.

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Answer:

she uses 10 cups of lemon juice and 30 cups of water for 5 pitchers

Step-by-step explanation:

you multiply the ingredients for one pitcher by 5 because they are making 5 pitchers

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Answer:

a - 56mi/h

b - confuzzled so heres the rearranged formulas?

speed = distance/time

time = distance/speed

distance = speed x time

c - 4200 miles

d - 42mi/h

Step-by-step explanation:

s=d/t

196/3.5=56

56x75=4200

1/4 of 56

56/4= 14

14x3=42

Answer:

Match the Statement number with the Reason number.

Step-by-step explanation:

Statements:

1.GE is perpendicular to BD

CF is perpendicular to BD

2. Angle GED equal 90

Angle DFC equal 90

3. Angle GED is congruent to Angle DFC

4. Angle GBE is congruent to Angle FDC

5. Triangle BEG is similar to DFC

Reasons:

1.Given

2. Definition of perpendicular lines

3. Transitive property

4. Alternate Interior Angles

5. AA Similarity

By satisfying essential conditions for two triangles to be similar, we can say that triangle BEG is similar to triangle DFC.

A quadrilateral in which opposites sides are equal and parallel. Also, opposite angles are equal to each other.

As we know that AB║ DC

so,∠GBE = ∠CDF (alternate angles)

∠GEB= ∠DFC = 90°

so triangle BEG≈DFC​

Therefore, we can say that triangle BEG is similar to triangle DFC

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Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

Answer:

Option B

Step-by-step explanation:

Given the following question:

9 is 10 times the value
29,461 ⇒ thousands place
\(100\times10=1000\)

Your answer is option B or "53,982". Since the nine is in the hundred's place, and one-hundred times ten, is equal to a thousand.

\(900\times10=9000\)

Hope this helps.

The value of the digit 9 in the number 29,461 that is 10 times the value of the digit 9 is; B: 53,982

We are given the number 29461.

In the given number;

1 is units

6 is tens

4 is hundred

9 is thousands

2 is ten thousands

This means any number that will has to be multiplied by 10 to give the 9000 above will have to be hundreds.

From the given options, only 53982 contains 9 in the hundreds position and so is correct.

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EXPLANATION

Given that the mean is 53.2 inches, and standard deviation of 3 inches. We will first find the z scores for height 49.8 and 60.6. inches

Therefore,

Using a z score calculator, The probability that the height of a randomly chosen child is between 49.8 and 60.6 inches is

Answer:

she filled 80 pages with 5 left over

Step-by-step explanation:

Th length of the garden when the teacher bought 50 feet of fence is 17 feet.

From the information, the width needs to be the same size as the shed which is 8ft and she bought 50 feet of fence and wants the largest garden she can make,

It should be noted that perimeter is calculated as:

= 2(Length + Width)

In this case, the perimeter is 50 feet.

2(Length + Width) = 50

2(Length + 8) = 50

2L + 16 = 50

2L = 50 - 16

2L =34

Divide

L = 34/3

L = 17 feet.

The length is 17 feet.

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Answer:

$25.50

Step-by-step explanation:

$5.25 savings on each ticket,

$73.50 savings on 14 tickets (5.25*14)

He paid $283.50

Original price of 14 tickets:

283.5+73.5

= 357

357/14

= $25.50 per ticket

Using the compound interest formula, if the account compounds at 4.8% monthly and he withdraws $500 monthly, it will take Steve 33 years, 7 months (403 months) to reduce $100,000 to a balance (future value) of $0.

The future value is the compounded present value, while the present value is the discounted future value.

However, with periodic withdrawals, a present value that compounds at an interest rate into the future can become $0 (future value) after some periods.

The time (period) Steve reduces his inheritance to $0 can be computed using an online finance calculator as follows:

I/Y (Interest per year) = 4.8%

PV (Present Value) = $100,000

PMT (Periodic Payment) = $-500

FV (Future Value) = $0

Results:

N (# of periods) = 403.164

Sum of all periodic payments = $-201,581.83

Total Interest $101,581.83

Thus, after 403 monthly withdrawals, Steve's inheritance will be reduced to a $0 future value.

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Answer:

False

Explanation

The x-intercept of a line occurs when the line intersects with the x-axis.

Answer:

5.4 as a percent is 540%

Hope I helped! :)

Answer:

I think the answer is 525%

Answer:

7 and 1 over 2 cubic inches ( 7 1/2 in³

Step-by-step explanation:

The height = 1/4 * 5 = 1 1/4 = 1.25

The width = 1/4 * 8 = 2

The length = 1/4 * 12 = 3

Volume = 1.25 * 2 * 3 = 2.5 * 3 = 7.5

0.5 is represented as 1/2

So answer : fraction 7 and 1 over 2 cubic inches or 7 1/2 in³

if my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

n

Step-by-step explanation:

The answer as a result of the numerical expression above is B) 1/36

This expression is rank number:

\(( {6}^{ - 4} ) {}^{ \frac{1}{2} } = 6 {}^{ - 2} = \frac{1}{ {6}^{2} } = \frac{1}{36}.

So the answer as a result of the numerical expression above is 1/36.

From these calculations it can be seen that the rank between what is inside the brackets and what is outside it can be multiplied.

In the question above the power of -4 multiplied by the power of ½ ( (-4×½) the result is -2.

So all that's left is 6⁻². Another form of 6⁻² is 1/6² or 1/36.

This refers to the exponential rule in mathematics, namely a⁻ⁿ can be written as 1/aⁿ.

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Answer: 8>a

Step-by-step explanation:

If 8 is greater than a, then this symbol > would be pointing at the 8. Think of it as a hungry mouth. It would rather have more food then less food, which is why is points at the 8.

Answer:

b the answer

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

The Cookie Shop's profit at the end of January as a result of the 20% decrease was $12000.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let s represent the Cookie Shop's profit at the end of January. At the end of January, their profit had decreased by 20%:

Percentage decrease = 20% of 15000 = $3000

s = 15000 - 3000 = 12000

The Cookie Shop's profit at the end of January as a result of the 20% decrease was $12000.

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Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

According to the graph, the value of the function g(-3) is 4 and g(10) is out of view

Graphs are graphical representations of equations, ordered pairs, tables of a relation

From the question, the function is represented by the attached graph

Also from the question, the function to calculate is given as g(10) and g(-3)

This means that we calculate the values of the function, when x = 10 and -3

i.e.

We calculate g(x), when x = -3

We calculate g(x), when x = 10

So, we look at the graph for this function value

From the graph of values, we have

When x = -3, g(x) = 4

When x = 10, g(x) = not visible

This means that

g(-3) = 4

g(10) = out of view

Hence, the function g(-3) has a value of 4 and g(10) is out of view

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Answer:

{-2}

Step-by-step explanation:

Answer:

B)-2

Step-by-step explanation:

In functions, X is your input. Y is the output unless specifically stated otherwise :P

Brainliest? <3

The different 2-member groups that are possible is 28

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

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The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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Answer:

Line ZL and line LZ.

Step-by-step explanation:

Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.

Brainliest please.

Answer:

Step-by-step explanation

Oh

Step-by-step explanation:

I don't know this one but I know who does

Answer:

x=−3 or x= 7/3

Step-by-step explanation:

The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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