A new car cost $28,950. It loses 15% of its value each year. The formula V(t) = 28,950(1-0.15) models this situation. What does V(t) represent?​

Answer:

A) x = 3 or -1

B) x = -7

C)x = -7

Step-by-step explanation:

A) x² + 2x + 1 = 2x² - 2

Rearranging, we have;

2x² - x² - 2x - 2 - 1 = 0

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

B) ((x + 2)/3) - 2/15 = (x - 2)/5

Multiply through by 15 to get;

5(x + 2) - 2 = 3(x - 2)

5x + 10 - 2 = 3x - 6

5x - 3x = -6 - 10 + 2

2x = -14

x = -14/2

x = -7

C) log(2x + 3) = 2log x

From log derivations, 2 log x is same as log x²

Thus;

log(2x + 3) = logx²

Log will cancel out to give;

2x + 3 = x²

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

Answer:

-5 1/4-(-7 1/2 is simplified to 9/4

Step-by-step explanation:

-5 1/4 is simplified to -21/4  -(-7 1/2

-7 1/2 is simplified to -15/2 and two negatives make a positive.

so the equation now becomes

-21/4+15/2

15/2 times 2 is 30/4

-21/4+30/4 is 9/4

The answer is 9/4

Answer:

80%

Step-by-step explanation:

20% of the candies are chocolate, leaving the rest of the 80%

Answer: 50%

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the graph or points of each city are not given.

So, I will provide a general explanation.

To calculate the equation of line through two points;

Start by writing out the coordinates of the two points.

For instance:

[tex]London = (4,6)[/tex]

[tex]Warsaw = (20,10)[/tex]

This points will be represented as:

[tex](x_1,y_1) = (4,6)[/tex]

[tex](x_2,y_2) = (20,10)[/tex]

Calculate the slope (m)

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

[tex]m = \frac{10 - 6}{20 - 4}[/tex]

[tex]m = \frac{4}{16}[/tex]

Simplify

[tex]m = \frac{1}{4}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = \frac{1}{4}(x - 4) + 6[/tex]

Open bracket

[tex]y = \frac{1}{4}x - 1 + 6[/tex]

[tex]y = \frac{1}{4}x +5[/tex]

Apply the above steps in the original question

Answer:

Angle 4 is ∠A

Step-by-step explanation:

Cos(A) = adjacent / hypotenuse

=> Angle 1: Cos(1) = 40 / 41, or 0.98 (so this is not ∠A)

=> Angle 2: Cos(2) = 9 / 41 or 0.22 (This isn't ∠A either)

=> Angel 3: Cos(3) = 24 / 25 or 0.96 (Not ∠A)

=> Angel 4: Cos(4) = 7 / 25 or 0.28 (This is Angle A, since Cos(A) = 0.28)

Therefore; Angle 4 is ∠A

Hope this helps!

Answer:

Can't type the Full solution

I'll solve for the triangle with angles 1 and 2

You can go for the rest.

CosA = 0.28

Taking the cos-¹(0.28) to determine its Magnitude

A=73.74°

Now

We can use sine Rule to get the values of each of the other angles in the triangle

For the first triangle

Applying sine rule

What basically happens in the rule is... Each side divided by the angle opposite it.

Look below

The angle opposite 40cm is angle '2' and the angle opposite 41cm is 90°

We have this sine rule when all three sides are given with ONE ANGLE(90° is the given angle in this case)

So

Each side over the angle opposite it

We go!!

Let's call angle "2" an alphabet. Say Q

41/sin90 = 40/SinQ

SinQ = 40sin90/41

Recall sin90=1

SinQ = 40/41

Q= Sin-¹(40/41)

Q= 77.32°

so angle 2 is 77.32°

Now apply this to get others

Angle '1' should be 12.68°

Angle "3" should be 16.26°

Angle "4" should be 73.74°

Therefore

conclusion

Angle "4" is same as A. That's the angle we looking for

Option 4 IS CORRECT!!

Answer:

Step-by-step explanation:

Answer:

lol wheres the question

Step-by-step explanation:

Answer:

MMM

Step-by-step explanation:

Given

See attachment for elements of the sample space (in a probability tree)

Required

Which of MMM, FFM, MFF, FMF represents more than one male?

From the question, we understand that:

[tex]M \to Male[/tex]

[tex]F \to Female[/tex]

So, for an event to represent more than 1 male, there must be an occurrence of at least 2 M (i.e 2 M or 3 M)

From the given options, only MMM has more than 1 M.

Hence, MMM represents more than one Male

Answer:

The answer is 1.42!!!!!!

Step-by-step explanation:

Answer:

14 mins

Safest answer and may be correct

Answer: Third option

Step-by-step explanation:

The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that

Answer:

x3y+7x2y2+10xy3

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Answer:

sure why not .

Hi!:D

Step-by-step explanation:

can I have brainiest

Answer:

y = 45/x

Step-by-step explanation:

Given y varies inversely as x, then;

y = k/x

If y = 5 when x = 9

5 = k/9

k = 5*9

k = 45

Substitute into the formula above;

y = k/x

y = 45/x

Hence the required inverse function is y = 45/x

Answer:

30 degrees

Step-by-step explanation:

see the opposite side. it is the same thing but upside-down.

(remember straight line is 180 degrees)

Answer:

12/25

Step-by-step explanation:

The problem tells us that we need to use 25 equally sized stones to make a 12 feet long path. As the stones must be equally sized, you have to divide 12 by 25 to distribute the feet length equally. Therefore, 12 divided by 25 is just rewritten as 12/25 feet long.

Answer:

10√2

Step-by-step explanation:

5√2³ = 5√8 = 5√(2 x 4) = (2 x 5)√2 = 10√2

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

Tree height is 15.6 ft

Step-by-step explanation:

Picture a triangle with horizontal side 25 ft and angle 32 degrees on the left.  Then the following is true:

                                      x

tan 32 = 0.625 = ---------------------       or   x = (0.625)(25 ft) = 15.6 ft

                                    25 ft        

Answer:

0.5

Step-by-step explanation:

Answer:

[tex] \frac{1}{2}x + 5[/tex]

Answer:

48 is the area

Step-by-step explanation:

A=4squared=16x3=48

Pi is 3.14 but in the question it states just a 3.

Answer:

1246cm

Step-by-step explanation:

26*10=260

29*34=986

986+260=1246

Answer:

[tex]1) B[/tex]

[tex]2)\ B[/tex]

[tex]3)\ B[/tex]

[tex]4)\ C[/tex]

Step-by-step explanation:

1)

Let's use the Pythagorean Theorem:

[tex]X^2 + 13^2 = 21^2[/tex]

[tex]X^2 + 169 = 441[/tex]

[tex]X^2 = 272[/tex]

[tex]X= \sqrt{272} = 4\sqrt{17} = 16.5[/tex]

2)

Let's use the Pythagorean Theorem:

[tex]16^2 + 28^2 = x^2[/tex]

[tex]x^2 = 1040[/tex]

[tex]x = \sqrt{1040} = 4\sqrt{65} = 32.2[/tex]

3)

Let's use the Pythagorean Theorem:

[tex]7^2 + 24^2 = 25^2[/tex]

As this equation is correct, these three lengths could be used in a right triangle.

4)

Let's use the Pythagorean Theorem:

[tex]7^2 + 24^2 = 25^2[/tex]

As this equation is correct, these three lengths could be used in a right triangle.

Answer:

Run = 4 miles

Biked = 22 miles

Step-by-step explanation:

Given :

Let :

Number of miles ran = x

Number of miles biked = 5.5x

Total run and bike distance = 26 miles

Thus ;

x + 5.5x = 26

6.5x = 26

x = 26/6.5

x = 4

Total miles run ; x = 4 miles

Total miles biked, 5.5x = 5.5*4 = 22 miles

Answer:

A] 1500 + 0.025x , 1250 + 0.055x ; B] Sales value = 8333

C] Offer 1, if prefers more fix salary over additional incentive. And, offer 2 if  prefers additional incentive over fix salary.

Step-by-step explanation:

Let the sales be = x

A] Offer 1 = 1500 + 2.5% comm on sales = 1500 + 2.5%x = 1500 + 0.025x

Offer 2 = 1250 + 5.5% comm on sales = 1250 + 5.5%x = 1250 + 0.055x

B] Value of sales, resulting in total salary : at equation 1 = equation 2

1500 + 0.025x = 1250 + 0.055x

1500 - 1250 = 0.055x - 0.025x → 250 = 0.03x

x = 250 / 0.03 →  x (Sales value) = 8333

C] Which job she should take, would depend on her preferences.

If she wants more fixed salary, & less above per unit achievement, she should take offer 1 as fixed salary 1500 > 1250. If she wants less fixed salary & more additional incentives, she should take offer 2, as commission 5.5% > 2.5%

Answer:

x ≥ 3

Step-by-step explanation:

The domain is the set of x values in a function

The ordered pair ( 3 , 1 ) represents the point where the function starts

( note that the point is "closed" which means that ( 3 , 1 )  represents a solution to the function ) ( which also means that we will be using ≤ or ≥ )

The x value of that ordered pair is 3 which means that the domain must include 3.

The line then goes to the right of the x value 3, infinitely which means that the domain is anything greater than or equal to 3

or x ≥ 3

Answer:

Solution given:

For bank A.

rate[R]=6.85%

principal [P]=$5000

time [T]=3years

now since simple interest is given by this bank

we have

Simple interest=PTR/100

=5000×6.85×3/100=$1027.5

For bank B

rate[R]=6.85%

principal [P]=$5000

time [T]=3years

now since compound interest is given by this bank

we have

compound interest=P((1+R/100)^T-1)

=$5000((1+6.85/100)³-1)=$1099.49

since

Bank B gives more interest .more amount is

1099.49-1027.5=$71.99 or $72