Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%

Answer:

John is 1 decade, 2 years, and 4 months old

Step-by-step explanation:

Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...

(2/2) decades, (4/2) years, and (8/2) months old =

= 1 decades, 2 years, and 4 months old

John is 1 decades, 2 years, and 4 months years old.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

There are 10 years in 1 decade.

And, Deron is 2 decades, 4 years, and 8 months old.

Since, His brother John is half as old.

Hence, Age of John is,

⇒ (2 decades, 4 years, and 8 months) / 2

⇒ 1 decades, 2 years, and 4 months

Thus, John is 1 decades, 2 years, and 4 months years old.

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Answer:

The speed of the jet with no wind is 240 miles per hour.

Step-by-step explanation:

The speed of the jet with no wind is equivalent to the speed of the jet relative to wind. Physically speaking, we have the following system of linear equations under the assumption that both speeds of wind and jet are constant:

In favor of wind

[tex]\frac{s}{t_{F}} = v_{W}+v_{J/W}[/tex] (1)

Against wind

[tex]-\frac{s}{t_{A}} = v_{W} -v_{J/W}[/tex] (2)

Where:

[tex]s[/tex] - Travelled distance, measured in miles.

[tex]t_{F}[/tex], [tex]t_{A}[/tex] - Time, measured in hours.

[tex]v_{W}[/tex] - Wind speed, measured in miles per hour.

[tex]v_{J/W}[/tex] - Jet speed relative to wind, measured in miles per hour.

If we know that [tex]t_{F} = 5\,h[/tex], [tex]t_{A} = 7\,h[/tex], [tex]v_{W} = 40\,\frac{mi}{h}[/tex], then the speed of the jet with no wind is:

[tex]\frac{s}{5} = 40 + v_{J/W}[/tex] (3)

[tex]-\frac{s}{7} = 40-v_{J/W}[/tex] (4)

[tex]\frac{s}{5}-40 = 40 +\frac{s}{7}[/tex]

[tex]\frac{s}{5}-\frac{s}{7} = 80[/tex]

[tex]\frac{7\cdot s - 5\cdot s}{35} = 80[/tex]

[tex]2\cdot s = 2800[/tex]

[tex]s = 1400\,mi[/tex]

From (3), we find that speed of the jet with no wind is:

[tex]v_{J/W} = \frac{s}{5}-40[/tex]

[tex]v_{J/W} = \frac{1400}{5}-40[/tex]

[tex]v_{J/W} = 240\,\frac{mi}{h}[/tex]

The speed of the jet with no wind is 240 miles per hour.

Answer:

The sunflower's height when it was planted.

Step-by-step explanation:

The sunflower's height in inches, h, after weeks, is given by the equation :

h=2.5w + 19

We need to tell that what the number 19 represent in the equation.

If we put w=0, we get,

h=2.5(0) + 19

h = 19 inches

It means when the number of weeks is equal to 0, its height is equal to 19 inches i.e. 19 represents the initial height of the sunflower. So, the correct option is (c) "The sunflower's height when it was planted."

Answer:

8/2

Step-by-step explanation:

Answer:

8/2 will be your first answer but then you simplify to get the answer of 4

Answer:

Parasitism

Step-by-step explanation:

Answer:

x= 137 hope it helps have a nice day

Answer:

137

Step-by-step explanation:

180-43 (these two angles plug into all the angles)

Answer:

right

Step-by-step explanation:

Answer:

Isoceles

Step-by-step explanation:

An isoceles triangle has 2 congruent sides.

Answer: Each friend should pay $9.80

Step-by-step explanation: First add up all their checks, then divide them by 4 (4 because there 4 friends) to get the amount each friend needs to pay.

$12.20 + $11.00 + $8.50 + $7.50= $39.20

39.30 / 4 = $9.80

Answer:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

Step-by-step explanation:

Standard Notation:

122500 + 3655 = 1.26155 x 10 to the power 5

Scientific Notation:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

E Notation:

1.225e5 + 3.655e3 = 1.26155e5

Answer:

∠U = 26°

∠V = 35°

∠W = 119°

Step-by-step explanation:

Given:

∠U = (x+9)°

∠V = (2x+1)°

∠W = (7x)°

Find:

Value of each angle

Computation:

Using angle sum property

∠U + ∠V + ∠W = 180°

(x+9)° + (2x+1)° + (7x)° = 180°

10x + 10 = 180

x = 17

So,

∠U = (x+9)° = 17 + 9 = 26°

∠V = (2x+1)° = 34 + 1 = 35°

∠W = (7x)° = 7 x 17 = 119°

5×3=15

17+15=32

Step-by-step explanation:

3÷17=15

15+5=20

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

h and r are the height and radius of the tank, respectively.

volume = πr²h

πr²·9 = 572π

r = √(572π/(9π)) = √(572/9)

diameter = 2r ≅ 15.9 ft

Answer:

11/8

Step-by-step explanation:

[tex]slope = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

20 - 9 = 11

12 - 4 = 8

slope = 11/8

Answer:

Sam will be 24 and his mom U can figure that out

Step-by-step explanation:

Math

Answer:

24

Step-by-step explanation:

`12

Answer:

The third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

Step-by-step explanation:

Given

As the sequence is given by

Tₙ = n² + 2n

To determine

The third term of the sequence

The third term of the sequence can be determined by substituting n = 3 in the sequence

Tₙ = n² + 2n

T₃ = (3)² + 2(3)

T₃ = 9 + 6

T₃ = 15

Therefore, the third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

i need points pleaseeeeeeeeee

Answer:

a) y=8x+12

b) $52

Step-by-step explanation:

for a)

the linear cost of this equation is 8, since is asks this amount per hour. The constant is 12, a one time fee. to form the equation, you would use the formula y=mx+b, and substituted in with the given, you get y=8x+12.

for b)

in b, it asks for the cost of renting the boat when x=5, renting the boat for 5 hours. all you have to do is plug in 5 in place of the x in the equation:

y=8x+12

y=8(5)+12

y=40+12

y=52

Answer:

The last one

Step-by-step explanation:

Due to there being xy's in both terms

Answer:

Hanna is 8 years old.

Step-by-step explanation:

Hanna = x

Tina = 4x

Sum = 40.

Hanna =?

Hanna + Tina = 40

4x + x = 40

5x = 40

x = 40/5

x = 8.

Hanna is 8 years old.

Answer:

vertically Angle is correct answer

Answer:

according to your question 2cm is length of the rectangle and 5cm width and 8cm height.

so the surface area of rectangle=2(lb+bh+hl)

surface area=2(2×5+5×8+8×2)

SA=2(66)

SA=132cm²

if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.

Answer:

alternate interior angles

Step-by-step explanation:

<1 is congruent to <2 by alternate interior angles

We read this out as "negative 15" or you could write "negative fifteen".

The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.

For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.

Answer:

[tex]y = 1125x+30000[/tex] --- The equation

The median income in 2030 is $75000

Step-by-step explanation:

Given

Represent years since 1990 with x and the income with y.

So, we have:

[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990

[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006

Solving (a): Express as a function.

First, we calculate the slope

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

[tex]m = \frac{48000-30000}{16-0}[/tex]

[tex]m = \frac{18000}{16}[/tex]

[tex]m = 1125[/tex]

The equation is then calculated as:

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

This gives:

[tex]y = 1125(x-0)+30000[/tex]

Open bracket

[tex]y = 1125x-0+30000[/tex]

[tex]y = 1125x+30000[/tex]

Solving (b): Income in 2030.

In 2030, x = 40.

Substitute 40 for x in [tex]y = 1125x+30000[/tex]

[tex]y = 1125*40 +30000[/tex]

[tex]y = 45000 +30000[/tex]

[tex]y = 75000[/tex]

Solving (c): The significance of the slope.

In (a), the slope is calculated as 1125.

This implies that the yearly rate is $1125

Answer:

Decreasing; 0.8%

Answer:

c = 8

n = 1/2

Step-by-step explanation:

Since dy/dx is the derivative form, we can integrate the answer to get the value of y.

The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).

It can be stated in terms of geometry as the slope of tangent of the function at a given point.

It is given as y = cxⁿ and dy/dx = 4/√x.

Take the derivative of y = cxⁿ with respect to x as,

dy/dx = cd(xⁿ)/dx

⇒ nc × xⁿ⁻¹

Compare the obtained derivative with 4/√x to obtain,

nc = 4   and  n - 1 = -1/2

⇒ n = 1/2 and c = 8

Hence, the values of c and n are 1/2 and 8 respectively.

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4y=32+x

y=32+x/4

32+x/4=mx+8

32+x=4mx+32

32-32+x=4mx

x=4mx

x/:=4m

1=4m

m=1/4

Answer:

Step-by-step explanation:

[tex]f(x)=x^3+x^2\\\\g(x)=x^4+x^2+x[/tex]

[tex]f(x)-g(x)=(x^3+x^2)-(x^4+x^2+x)=x^3+x^2-x^4-x^2-x\\\\=-x^4+x^3-x\\\\x=1\\\\-1^4+1^3-1=-1+1-1=-1[/tex]

[tex]x=1\\\\f(1)=1^3+1^2=1+1=2\\\\g(1)=1^4+1^2+1=1+1+1=3\\\\f(1)-g(1)=2-3=-1[/tex]

Answer:

B.  28/15

Step-by-step explanation:

7/3 x 4/5 = 28/15