does someone mind helping me with this problem? Thank you!

a) The person will save $15,120 by the day before his 60th birthday. b) David would have had £2000 when he is 37 years old.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

a) Let x be a number of months.

Now, we will find a number of years between 60 and 18 years.

There will be 42 years from 18th birthday to 60th birthday.

Now, we will convert 42 years into months.

42 × 12 = 504

In order to find the total amount saved in 504 months, we will substitute  in expression:

30x = 30(504) = 15120

Hence, the person will save $15,120 by the day before his 60th birthday.

b) David starts saving £100 annually from his 18th birthday

We would save £2000 after

(2000/100) years = 20 years

Since his 18th birthday is the first of the 20 years and so he will save £950 for the next 19 years, which is

18 + 19 = 37 years old

Hence, David would have had £2000 when he is 37 years old.

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Answer:

A = -12

B = -8

C = -4

Step-by-step explanation:

[tex]y=2x-8[/tex]

x = -2

[tex]y=2(-2)-8=-4-8=-12[/tex]

A = -12

x = 0

[tex]y = 2 (0)-8=-8[/tex]

B = -8

x = 2

[tex]y = 2 (2) -8 = 4-8 = -4[/tex]

C = -4

Hope this helps

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]~~~~~x = \dfrac{1}{2 - \dfrac 1{2-\dfrac{1}{2-x}}}\\\\\\\implies x = \dfrac{1}{2 - \dfrac 1{\dfrac{4-2x-1}{2-x}}}\\\\\\\implies x= \dfrac{1}{2 - \dfrac{2-x}{3-2x}}\\\\\\\implies x = \dfrac{1}{\dfrac{6-4x-2+x}{3-2x}}\\\\\\\implies x = \dfrac{3-2x}{4-3x}\\\\\\\implies 4x -3x^2 = 3-2x\\\\\\\implies 3x^2 -4x +3-2x = 0\\\\\\\implies 3x^2 -6x +3 = 0\\\\\\\implies 3(x^2 -2x +1) =0\\\\\\\implies x^2 -2x +1 = 0\\\\\\\implies (x-1)^2 = 0\\\\\\\implies x -1 = 0\\\\\\\implies x = 1[/tex]

Answer:

It's very interesting 4

Using the given information, the expression for f(x) is 3x - 2

From the question, we are to determine the the value of f(x)

The given expression is

36^x•6^(x-2)

That is

[tex]36^{x} \times 6^{x-2}[/tex]

This can be expressed as

[tex]6^{2x} \times 6^{x-2}[/tex]

Applying one of the laws of indices, we get

[tex]6^{2x+x-2}[/tex]

= [tex]6^{3x-2}[/tex]

Since the expression was rewritten as

[tex]6^{f(x)}[/tex]

By comparison,

f(x) = 3x - 2

Hence, the expression for f(x) is 3x - 2

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The points  (2,6) (-4,-7) have a slope of 13/6 which satisfies the perpendicular condition option (B) is correct.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete.

The complete question is:

Line L has a slope of -6/13. The line through which of the following pair of points is perpendicular to L?

A) (6,-4) (-7,2)

B) (2,6) (-4,-7)

C) (6,9) (-4,-4)

D) (13,-4) (-7,2)

Line L slope m = -6/13

If two lines are perpendicular:

(m)(m') = -1

(-6/13)(m') = -1

m' = 13/6

From the points given finding the slope of every point:

A) (6,-4) (-7,2)

[tex]\rm m' =\dfrac{2+4}{-7-6}[/tex]

m' = -6/13

B) (2,6) (-4,-7)

[tex]\rm m' =\dfrac{-7-6}{-4-2}[/tex]

m' = 13/6

Thus, the points  (2,6) (-4,-7) have a slope of 13/6 which satisfy the perpendicular condition option (B) is correct.

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Answer:

195

Step-by-step explanation:

87+38+40=165

360-165=195

Hope this helps!

If not, I am sorry.

Step-by-step explanation:

please mark me as brainlest

The information could he have used to determine this is C. ∠GLI = 2∠GLH.

An angle is formed from the intersection of two lines. The types of angles are acute, obtuse, and scalene.

∠GLI is bisected by LH, hence:

∠GLH = ∠HLI (definition of bisection)

∠GLI = ∠GLH + ∠HLI (angle addition)

∠GLI = 2∠GLH

The information that can be used to determine this is ∠GLI = 2∠GLH.

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Answer: its C

Step-by-step explanation: on edge

The expression that's in the simplest term will be -12a² + b².

It should be noted that an expression means a mathematical statement that has a minimum of two terms containing variables.

In this case, the expression that's in the lowest term will be -12a² + b². This is because it's can't be simplified further.

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Answer: 450 Minutes

Step-by step explanation:

135-x)/5 = hours connie runs

x/7 = hours Bonnie runs

(135-x)/5 + x/7 = 24

135-x + 5x/7 = 120

945-7x+5x = 840

-2x = -105

x = 52.5 miles = distance of Bonnie

52.5 miles / 7 m/hr = 7.5 hours = 450 minutes

Answer:

The answer is 90.

Thank you

Answer:

89.6

Step-by-step explanation:

The formula to convert Celsius to Fahrenheit is given by °F = °C × (9/5) + 32

F = [ C × (9/5) + 32 ]

Given that, C = 32

F = 32 × (9/5) + 32

F = 32 [ 1 + (9/5) ]

F = 32 [ 1 + 1.8 ]

F = 32 × 2.8

F = 89.6

Answer:

1/

Step-by-step explanation:

There are 360 degrees in a circle. There are 40 people in this survey. Each person is 9 degrees, so 1 degree is 1/9 of a person.

Answer:

1,29

Step-by-step explanation:

74*2pi/360

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Two angles whose sum is 180° are called supplementary angles. The correct option is C.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

In the given Image, ∠a and ∠b are supplementary angles to each other. Therefore, the correct option is C.

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Answer:

The answer would be 125, because 1*1 = 1 2*2*2= 8 and so forth

Step-by-step explanation:

I hope this helps

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Your equation:}[/tex]

[tex]\mathsf{1, 8, 27, 64, ?}[/tex]

[tex]\huge\textbf{LET'S CONVERT IT TO FOR EASIER}\\\\\huge\textbf{TO UNDERSTAND A WHOLE LOT}\\\\\huge\textbf{BETTER.}[/tex]

[tex]\mathsf{1^3, 2^3, 3^3, 4^3, ?}[/tex]

[tex]\huge\textbf{Notice the pattern?}\\\\\\\\\huge\textbf{So, that means your mystery number}\\\\\huge\textbf{has to be squared (also known as to the}\\\\\huge\textbf{power of 3}[/tex]

[tex]\huge\textbf{Breaking down the exponents}[/tex]

[tex]\mathsf{1^3}\\\mathsf{= 1\times1\times1}\\\mathsf{= 1\times1}\\\mathsf{= \bf 1}[/tex]

[tex]\mathsf{2^3}\\\mathsf{= 2\times2\times2}\\\mathsf{= 4\times2}\\\mathsf{= \bf 8}[/tex]

[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]

[tex]\mathsf{4^3}\\\mathsf{= 4\times4\times4}\\\mathsf{= 16\times4}\\\mathsf{= \bf 64}[/tex]

[tex]\huge\textbf{If you didn't notice that your}\\\\\huge\textbf{exponents went like 1,2,3,4.}\\\\\\\\\huge\textbf{so that your mystery number has to}\\\\\huge\textbf{be 5 squared}[/tex]

[tex]\mathsf{5^3}\\\\\huge\textbf{That is what I meant \& this should give}\\\\\huge\textbf{you your result to this question.}[/tex]

[tex]\mathsf{5^3}\\\mathsf{= 5\times5\times5}\\\mathsf{= 25\times5}\\\mathsf{=125}[/tex]

[tex]\huge\textbf{The result:}[/tex]

[tex]\huge\boxed{\mathsf{Option\ B. \ 125}}\huge\checkmark[/tex]

[tex]\huge\textbf{The outro}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

[tex]\huge\textbf{Signature}[/tex]

The  total distance it flies, rounded to the nearest mile is: d. 1,692 miles .

First distance= 550 miles (given)

Second distance=483 miles (given)

Now let find the third distance

Let x represent the third distance

Hence:

x/sin79 = 550/sin55

x= 659.1

Now let calculate the total distance

Total distance=550+483+659.1

Total distance= 1692.1

Total distance= 1692 miles (rounded)

Therefore the correct option is d.

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Answer:

Step-by-step explanation:

Answer: The solution is x=7.  

Step-by-step explanation: Using the segment addition posyulate we can find the measure of the segment. given it is 4, 5, 8.

Explanation:

Building proportional relationships

[tex]\sf \dfrac{XA}{XY} = \dfrac{XB}{XZ}[/tex]

21.

[tex]\sf \rightarrow \dfrac{5}{XY} = \dfrac{10}{18}[/tex]

[tex]\sf \rightarrow XY = \dfrac{5(18)}{10}[/tex]

[tex]\sf \rightarrow XY = 9[/tex]

Then find AY

[tex]\sf AY = XY - XA[/tex]

[tex]\sf AY = 9 - 5[/tex]

[tex]\sf AY = 4[/tex]

[tex]\hrulefill[/tex]

22.

[tex]\rightarrow \sf \dfrac{10}{25} = \dfrac{XB}{XB + 3}[/tex]

[tex]\rightarrow \sf 10(XB + 3) = 25XB[/tex]

[tex]\rightarrow \sf 10XB + 30 = 25XB[/tex]

[tex]\rightarrow \sf 25XB-10XB = 30[/tex]

[tex]\rightarrow \sf 15XB = 30[/tex]

[tex]\rightarrow \sf XB = 2[/tex]

Then find XZ

[tex]\sf XZ = XB + BZ[/tex]

[tex]\sf XZ = 2 + 3[/tex]

[tex]\sf XZ = 5[/tex]

[tex]\hrulefill[/tex]

23.

[tex]\sf \rightarrow \dfrac{4}{13} = \dfrac{XB}{26}[/tex]

[tex]\sf \rightarrow \dfrac{26(4)}{13} = XB[/tex]

[tex]\sf \rightarrow XB = 8[/tex]

Answer:

1, 2, 3, 4, 6, 8, 12, and 24. Factors of 24 include negative numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the price of an mp3 player is increased by 8%to £52.92

what was the original price?

52.92 = 108%

52.92 : 108 = 0.49

0.49 * 100 = 49£

-------------

check

49 * 1.08 = 52.92

the answer is good

An expression is defined as a set of numbers, variables, and mathematical operations. The total number of students is 54.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the number of columns in the rollercoaster be represented by x.

If students sit 4 per row on a rollercoaster, 6 students are left without a seat. Therefore, the number of students can be written as,

Total number of students = 4x + 6

If they sit 6 per row, there are 3 rows left empty. Therefore, the total number of students can be written as,

Total number of students = 6(x-3)

The total number of students can be written as,

4x + 6 = 6(x - 3)

4x + 6 = 6x - 18

2x = 24

x = 12

Now, the total number of students in the class are,

4x + 6 = 4(12) + 6 = 54

Hence, the total number of students are 54.

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Answer:

[tex]\sf r^6[/tex]

Step-by-step explanation:

         [tex]\boxed{\bf \dfrac{a^m}{a^n}=a^{m-n}}[/tex]

In exponent division, if bases are same, subtract the powers.

 [tex]\sf \dfrac{r^9}{r^3}=r^{9-3}=r^{6}[/tex]

Answer:

it's helps with learning the difference of thr compound

Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY

The ray that bisects the angle into half is called Angle Bisector.

It is given that ∠XOY = 60 degree

the length of OX = 4.5 cm

OY =5 cm

The point M is on OX such that

OM = 2 MX

so The M is at 3 cm from O

The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M

According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides  then it lies on the bisector of that angle.

As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at

By Pythagoras Theorem

3² +3² = OP²

OP = 2[tex]\sqrt{3}[/tex] = 3.46 cm from O

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Answer:

54%

Step-by-step explanation:

65 / 1000 = 0.065. 0.10 / 0.065 = 1.538, so the markup would be C, 54%.

Answer:

The points present in the first quadrant are of the form (a, b) where a, b>0.

Step-by-step explanation:

The points present in the first quadrant are of the form (a, b) where a, b>0.

In the first quadrant both the abscissa and ordinate are positive.

In the second quadrant the abscissa is negative and ordinate is positive.

In the third quadrant both the abscissa and ordinate are negative.

In the forth quadrant both the abscissa is positive and ordinate are negative.

The examples of points in the first quadrant are (1,0), (2,3), (11,4) and many other.

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Answer: The y-coordinates in the first quadrant are positive. because y represents the profit made, positive y values signify profit. The points in quadrant I represent the baseball team making a profit.

Step-by-step explanation: Source - I took the test.

Answer:

B - fixed rental for the book.

Since for everyday the book is late the fee is 0.25 multiplied by X, X is the days the book is not returned.

Thus, the constant would be 2, 2 is the constant whereby the rental for the book regardless of other variables.

The total tax rate and the sales tax will be given below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Total selling price (TSP), State tax rate (STR), City tax rate (CTR), Total tax rate (TTR) and Sales tax (ST).

The table complete table is given below.

Item                            TSP            STR        CTR           TTR              ST

Clothing                     $81.39            3%        0%            3%            $2.44

Cell phone               $159.95           5%        0%            5%            $7.99

MP3 player               $195.55          4%         2%            6%           $11.73

Computer                $1599.75      4.88%     1.50%       6.38%      $102.06

Take-out                   $49.85         8.13%    2.50%      10.63%        $5.29

Pickup truck          $38,526.42    6.50%    1.25%        7.75%     $2985.79

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