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Answer:

Max is 17 years old and Bert is 11 years old

Step-by-step explanation:

System of Equations

Let's call

x = current age of Max

y = current age of Bert

x - 5 = age of Max five years ago

y - 5 = age of Bert five years ago

x + 1 = age of Max one year from now

y + 1 = age of Bert one year from now

According to the conditions of the problem:

x - 5 = 2(y - 5)        [1]

x + 1 + y + 1 = 30        [2]

Operating and simplifying [1]:

x - 5 = 2y - 10

x = 2y - 5       [3]

Operating and simplifying [2]:

x + y + 2 = 30

x + y = 28        [4]

Substituting [3] in [4]:

2y - 5 + y = 28

Simplifying:

3y - 5 = 28

3y = 33

y = 33/3

y = 11

From [3]:

x = 2*11 - 5

x = 22 - 5

x = 17

Max is 17 years old and Bert is 11 years old

Answer:

Please check the explanation.

Step-by-step explanation:

                                                      Part a)

Given the table

Year             Value ($)

1                    18,000

2                   15,300                

3                   13,005

Let us check the sequence

18000, 15300, 13005,...

Let us find the common ratio 'r' of all the adjacent terms to check whether the sequence represents the geometric sequence or not, using the formula such as:

[tex]\:r=\frac{a_{n+1}}{a_n}[/tex]

[tex]\frac{15300}{18000}=\frac{17}{20},\:\quad \frac{13005}{15300}=\frac{17}{20}[/tex]

As the ratio of all the adjacent terms is the same, so

[tex]r=\frac{17}{20}[/tex]

Therefore, the given sequence is a geometric sequence

                                                  Part b)

Given the sequence

18000, 15300, 13005,...

The nth term of the geometric sequence is

[tex]a_n=a_1\cdot r^{n-1}[/tex]

here

[tex]a_1=18000[/tex]

[tex]r=\frac{17}{20}[/tex]

so

[tex]a_n=18000\left(\frac{17}{20}\right)^{n-1}[/tex]

In order to determine the car worth in the 15th year, substitute n = 15

[tex]a_{15}=18000\left(\frac{17}{20}\right)^{15-1}[/tex]

[tex]a_{15}=18000\frac{17^{14}}{20^{14}}[/tex]

[tex]a_{15}=18000\times \:\:0.10276[/tex]

[tex]a_{15}=1850[/tex] $

Therefore, the worth of a car in the 15th year will be: $1850

Answer:

No, it cannot.

Step-by-step explanation:

When you multiply a factor 1 or greater, the product gets larger. However, when you are multiplying decimals, the product gets smaller. (Ex. When you multiply 0.1 [or 0.10], you are making the product ten times as small.)

Answer:A

Step-by-step explanation:

FOIL

The factors of the quadratic equation x²- 5x + 4 are (x - 4)(x - 1) option (A) is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have a quadratic equation:

= x²- 5x + 4

= x² -x - 4x + 4

= x(x - 1) - 4(x - 1)

= (x - 4)(x - 1)

Thus, the factors of the quadratic equation x²- 5x + 4 are (x - 4)(x - 1) option (A) is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ2

Answer:

2nd

Step-by-step explanation:

Answer:

4.3890563e+45!!

Step-by-step explanation:

9514 1404 393

Answer:

  slope = k/2

Step-by-step explanation:

The slope formula is useful for finding slope.

  m = (y2 -y1)/(x2 -x1)

  m = (5k -7k)/(-3 -1)

  m = -2k/-4

  m = k/2

The slope is k/2.

9514 1404 393

Answer:

  points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.

Step-by-step explanation:

The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.

Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...

  -1.75, 2.50, -3.25, -3.50, 4.75

Answer:

The price would be $51.75.

Step-by-step explanation:

Since Joe is marking up by 15%, the price will increase for the pair of shoes.  Multiply 45 by 1.15 since you are increasing the price by 15% to get your final answer which is $51.75.

Answer:

5 inches is equal to 12.7 centimeters.

Step-by-step explanation:

There is 2.54 centimeters in an inch so just multiply that by 5 and you get 12.7.

Answer:

12.70 cm hope it is right

Step-by-step explanation:

Answer:

C. x = 3

Step-by-step explanation:

because it is not a function, it's an answer. The other equations are all equal to y, which you can find the x and the y for a coordinate, but for c you have just x, and without y you can't have a function.

Answer:

x = 3

Step-by-step explanation:

Think about an archery practice. One target can get hit by multiple archers, but an archer can only shoot one arrow. Therefore its x = 3, because the same x value can not hit every y. Hope this helps, its for more visual learners.

Archers (x)    Targets (y)

     X               O

     X               O

     X               O

     X               O

Answer:

Jenn's account

Step-by-step explanation:

Given that:

LINDSAY'S ACCOUNT :

Principal = amount deposited = $250

Final Amount after 1 year = $253

Period (t) = 1 year

JENN'S ACCOUNT :

Principal = amount deposited = $250

Final Amount after 2 years = $257.50

Period (t) = 2 year

Using the relation :

A = P(1 + rt)

A = final amount ; r = interest rate ; t = time

Lindsay :

253 = 250(1 + r(1))

253 = 250 + 250r

253 - 250 = 250r

3 = 250r

r = 3/250

r = 0.012 ; (0.012 * 100) = 1.2%

Jenn:

257.50 = 250(1 + r(2))

257.50 = 250 + 500r

257.50 - 250 = 500r

7.50 = 500r

r = 7.50/500

r = 0.015 ; (0.015 * 100) = 1.5%

Hence, JENN'S deposit has the greater interest rate. (1.5 > 1.2)%

Answer:Sample response:Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Step-by-step explanation: please make me brainliest

Answer:

11.21

Step-by-step explanation:

5.9*1.9

Answer:

Step-by-step explanation:

The price of the shirt at the store is $16

12 x .25 = 4

4 + 12 = 16

Answer:

The answer is - 6 hope this helped

Answer:

12

Step-by-step explanation:

Answer:

-5.5

Step-by-step explanation:

Answer:

x=5/4, y=7/4

Step-by-step explanation:

This is a similar triangles problem.

The first triangle (the smaller one) has the lengths 5, 8 and 7.

The second triangle (the lager one) has the lengths 5+x, 10, and 7+y

Let's first solve for x

In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)

since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)

For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)

here's the proportion

5/(x+5)=8/10

But before we multiply, we can simplify 8/10 to 4/5

so

5/(x+5)=4/5

Cross multiply

25=4x+20

5=4x

5/4=x

For y, we can do a similar process

We can use 8/10 or 4/5 again

and the ratio of the sides for y will be 7/(y+7)

7/(y+7)=4/5

35=4y+28

7=4y

7/4=y

Hope this helps!

Answer:

She will have saved $195

Step-by-step explanation:

If we had her two paychecks together she will have saved $650.

30% of 650 = 195

We get this by taking 650 times .3

Answer:

B. $2,565

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because under the six there's a line so the line is there then you look at the four and equal it to it and that's how you know it's B

You're welcome

Answer:D

Step-by-step explanation: trust me ima sophomore use this for help y=1/2x+4 then x value change it to the number in the x section then if the y appears just like in the box the y section it’s correct

Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation: i did it

Answer:

∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.

Step-by-step explanation:

The Angle-Side-Angle (ASA) Congruence criteria says that two triangles are congruent to each other if two angles and an included side of one triangle is congruent to two corresponding angles and a corresponding included side of the other triangle.

In the diagram given, the two angles were given (<B and <C), however, the side given (side AB) does not lie in the middle of <B and <C, hence it is NOT AN INCLUDED SIDE. The same applies to ∆XYZ.

Therefore, ∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.

Answer:

15€9 44090 4 lt pi jtnteu

Step-by-step explanation:

Nugyt merhaba Seher vakti geldi artık bu kadar güzel bir haber var 6sınıf merhaba hocam ben Sude ödevim tamam 44482644444 bir

Answer: y=11/2

Step-by-step explanation:

r = 2x + 2y

29=2(9) + 2y

29=18 + 2y

11 = 2y

11/2 = y

514.8 your welcome

All you have to do is multiply 19.8 x 26

Answer:

60°

Step-by-step explanation:

In an equilateral triangle all sides are equal so as all angles are same,

3 sided fig. 180÷3= 60°