-6(4 + 5v) - 3 = -57 solve for V

Answer: Yes it's possible for Joshua to meet his goal of having $5,000 after 4 years.

Step-by-step explanation:

From the question, Joshua has $4,200 to invest for college which he invests $4,200 for 3 years and earns $630.

Interest = (Principal × Rate × Time)/100

630 = (4200 × R × 3)/100

630 = 12600R/100

12600R = 630 × 100

12600R = 63000

Interest rate =63000/12600 = 5%

Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?

Interest = (Principal × Rate × Time)/100

Interest = (4200 × 6 × 4)/100

= 100800/100

= $1008

At the end of 4 years, Joshua will have:

= $4200 + $1008

= $5208

Yes it's possible.

Answer:

x= 1

Step-by-step explanation:

5x - 12 = x - 8

Subtract x from each side

5x -12 -x = x-8-x

4x -12 = -8

Add 12 to each side

4x-12+12 = -8+12

4x = 4

Divide each side by 4

4x/4 = 4/4

x = 1

Answer:

  a.  0.15%

Step-by-step explanation:

The Z-score of 940 pounds is ...

  (X -µ)/σ = (940 -3550)/870 = -3

The empirical rule tells you that 99.7% of the normal distribution lies within Z = ±3. Half of the remaining 0.3% lies below Z = -3, which is the set of weights of interest.

The probability that a car weighs less than 940 lbs is about 0.15%.

Answer: 287

Step-by-step explanation:

8, 17, 26

So we know that the sequence pattern is + 9 for every term and the first 3 terms are given.

That means we need 29 more terms to get to the 32nd term.

29 * 9 = 261

261 + 26 = 287

287 is 29 terms past 26, which is the 3rd term.

Answer:

The answer is 6.

Step-by-step explanation:

To find this answer, divide 24 by 3 and you get 8. 8 minus 2 is 6.

The fraction (13/10) can be used as the multiplier to find the length of the new side.

Suppose the length of the side of a square is x.

The new length of the side of the square after an increment of 30%

= x+ (30% of x).

The percentage is the value per hundred.

So, 30% of x = 30*x/100 =0.3x

So, new length of the side = x+0.3x =1.3x

We can represent 1.3x as (13/10)x

This means we have multiplied the previous length by the fraction 13/10 in order to get an increment of 30%.

Thus, The fraction (13/10) can be used as the multiplier to find the length of the new side.

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Answer:

36.5 is the answer

Hope this helps!

Step-by-step explanation:

Let the actual pressure be x

The actual pressure is 100% of x

The pressure is showing 8% more

So the pressure showing now is the actual pressure + the extra pressure

= 100%+8% = 108%

= 108/100

So the equation is:

108/100 x = 39.42

108x = 39.42*100

108x = 3942

x= 3942/108

= 36.5

Therefore the actual pressure is 36.5

Answer:

A

Step-by-step explanation:

16x-16=4y

4(4x-4)=4y

y=4x-4

Therefore, the correct answer is choice A. Hope this helps!

Answer:

16x-16=4(4x-4)

Step-by-step explanation:

16x-16=4(4x-4)

4(4x)=16x

4(-4)=-16

Answer:

[tex] \boxed{[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] } [/tex]

Step-by-step explanation:

[tex]3 \times 1 = 3 \\ \\ 3 \times ( - 4) = - 12 \\ \\ 3 \times 5 = 15 \\ \\ 3 \times ( - 7) = - 21 \\ \\ \\ = > 3.[1 \: \: \: - 4 \: \: \: \: \: \: 5 \: \: \: - 7] =[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] [/tex]

Answer:

2+3+10+15+20+2+30=82

82/8=10.25

Step-by-step explanation:+10.25

Answer:

The answer is 14.9

Step-by-step explanation:

First I added 2,3,10,15,20,24,30 then  divided it by 7.

Answer:

5 p.m.

Step-by-step explanation:

Newton's law of cooling-

[tex]T(t)=t_a+(t_0-t_a)e^{-kt}[/tex]

where,

[tex]t_0[/tex] = the initial temp. = 98.6 F (human body temp.)

k = 0.1947,

T(t) = 66 F,

[tex]t_a[/tex] = 55 F,

Putting the values,

[tex]\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h[/tex]

Therefore, the time of death was 7 hours before midnight i.e at 5 pm.

Answer:

c) a right angle

Step-by-step explanation:

A right angle can be defined as angles that are created or formed by two non-common sides of adjacent, complementary angles.

These angles have the following attributes:

a) They are angles that are complementary angles. This means that the sum of these angles is equal to 90°

b) The angles are adjacent complementary angles: These means that the angles are next to each other.

Two non-common sides of adjacent, complementary angles form a right angle because they have a common vertex and arm.

Answer:

a right angle

Step-by-step explanation:

Answer:

4,000,000,000,000

Step-by-step explanation:

Make it look like this first:

[tex]\frac{6*10^8}{1.5*10^-4}[/tex]

You get:

[tex]4*10^{12}[/tex]

Which is 4,000,000,000,000

Answer:

4 days

Step-by-step explanation:

there are 8 pints in a gallon

Answer:

4 days.

please see the attached picture for full solution solution.

hope it helps

good luck on your assignment

Answer:

[tex] \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} [/tex]

Given:

[tex]f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8[/tex]

To find:

[tex](f - g)(x) = f(x) - g(x)[/tex]

Step-by-step explanation:

[tex] \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3[/tex]

Answer:

The slope is the rise over run, so...

It  is 3/1 or just 3.

Step-by-step explanation:

Rise/run is slope

(2,1) is a point on the line, and so is (3,4)

constant it will keep going up and it won't stop

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

We need to check whether the given graph is increasing, decreasing, or constant.

Increasing: A function is increasing, if as x increases (reading from left to right), y also increases. In plain English, as you look at the graph, from left to right, the graph goes uphill. The graph has a positive slope.

From the given graph we can see that the line is increasing from left to right.

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

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Answer:

D.(-1,-5) and (5,7)

Step-by-step explanation:

I used a graphing tool to graph the two equations together. When graphed, the equations intercept (5,7) and (-1,-5). Therefore, they are the solutions to the system.

Option D should be the correct answer.

Answer:

Using the difference of squares this can be rewritten as (y² + 10)(y² - 10).

Answer:

(y² + 10)(y² - 10)

Step-by-step explanation:

y^2=y^4

Answer:

tip is $6

Step-by-step explanation:

multiply 40 by 0.15 so 6

Step-by-step explanation:

21% of 36570

21/100 x 36570 = 7679.7

12.2% of 640

12.2/100 x 640 = 78.08

87.5% of 860

87.5/100 x 860 = 752.5

37.5% of 3200

37.5/100 x 3200 = 1200

Answer:

for the first one they are opposite angles so they are the same degrees so x=15 I forget adjacent angles so idk the second one sorry

Answer:

The answer is "[tex]\bold{6\sqrt(2)i+2\sqrt(2)j)}[/tex]"

Step-by-step explanation:

Given:

[tex]w=3\sqrt(2)i+\sqrt(2)j[/tex]

To Find:

2w=?

Solution:

[tex]\Rightarrow 2w= 2\times w\\\\\Rightarrow 2w= 2\times (3\sqrt(2)i+\sqrt(2)j)\\\\\Rightarrow 2w= 6\sqrt(2)i+2\sqrt(2)j)\\[/tex]

Answer:

w=-16

Step-by-step explanation:

divide -192 by 12 to isolate w

Answer:

w=-16

Step-by-step explanation:

Answer:

8 glasses

Step-by-step explanation:

Total volume : 1500 ml

Glasses capacity : 180 ml

Glasses can be filled : 1500 / 180 = 8.33

Notice it says completely fill thus it is 8 glasses

The surface area of the solid cuboid is 76 cm²

From the question, we are to determine the surface area of the cuboid

The surface area of a cuboid is given by the formula,

Surface area = 2(lb + lh + bh)

Where l is the length

b is the breadth

and h is the height

Let

l = 5 cm

b = 4 cm

h = 2cm

Then,

Surface area = 2(5×4 + 5×2 + 4×2)

Surface area = 2(20 + 10 + 8)

Surface area = 2(38)

Surface area = 76 cm²

Hence, the surface area of the solid cuboid is 76 cm²

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Answer:

The experimental probability of spinning a number less than 2

P( x<2) = 0.14

Step-by-step explanation:

Given data table

x                        7           10            8                8           8            9      = total 50

P(X=x)    [tex]\frac{7}{50} = 0.14[/tex]     [tex]\frac{10}{50} = 0.2[/tex]  [tex]\frac{8}{50} = 0.16[/tex]   [tex]\frac{8}{50} = 0.16[/tex]  [tex]\frac{8}{50} = 0.16[/tex]   [tex]\frac{9}{50} = 0.18[/tex]  

Sum of the probabilities is equal ∑x P(x=x)

                                 = 0.14 +0.2 +0.16 +0.16+0.16 +0.18

                                 =1

Given data table

spinning

a spinner             1            2            3                4           5             6                    

x                        7             10            8                8           8            9      

P(X=x)            0.14     0.2         0.16             0.16         0.16        0.18    

The experimental probability of spinning a number less than 2

P( x<2) = P( x=0) +P(x=1)

          = 0 + 0.14

The experimental probability of spinning a number less than 2

P( x<2) = 0.14

Answer:

If you're going to the left, 1, if you're going to the right 3.

If you meant to write -2, then to the left -3 and to the right =-1

<-------------------------------------------------------------->

    -3        -2        -1        0      1          2        3

Answer:

$255

Step-by-step explanation:

250*.85=212.5

212.5*1.2=255

Answer:can you put some angle degrees on it plz

Step-by-step explanation: