Jim works overtime to save $500 per month for a pickup truck. The savings account Jim uses earns him 5% interest, compounded monthly. In two years, Jim will have in savings. He will have earned in interest on his savings.

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]6t - 20 - 32u = 6(6) - 20 - 32( \frac{1}{4} ) = 36 - 20 - 8 = 16 - 8 = 8[/tex]

Hope this helps ;) ❤❤❤

Answer:

y = - 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1) ← 2 points on the line

m = [tex]\frac{1-3}{1-0}[/tex] = - 2

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = - 2x + 3 ← equation of line

Step-by-step explanation:

f(x)=y

(x,y)

(x,f(x))

then,

f(-4)=1

f(0)=2

f(4)=3

Answer:

4x + 10 > 3x + 14

x > 4

Step-by-step explanation:

Use the given values for length and width in the formula for perimeter of a rectangle.  You will be able to find the perimeter of rectangles A and B.

A = 2(l + w)

A = 2(x + 5 + x)

A = 2(2x + 5)

A = 4x + 10

B = 2(l + w)

B = 2(x + 7 + x/2)

B = 2(3x/2 + 7)

B = 3x + 14

The perimeter of rectangle A is larger than that of rectangle B.

A > B

4x + 10 > 3x + 14

(4x + 10) - 3x > (3x + 14) - 3x

x + 10 > 14

(x + 10) - 10 > 14 - 10

x > 4

Answer: Answer is in the steps

Step-by-step explanation:

A)  First convert 65 miles to kilometers  

65 miles to kilometers  is 104.607  

Convert 1 hour to minute and that will be 60 minutes because 60 minutes makes and hour.

Now divide the kilometers by the number of minutes

104.607 / 60 = 1.74345  

The speed will be 1.74345 kilometers per minute.

B) Convert 3.5 hours to minutes.

3.5 hours is the same as 210 minutes    

Now multiply it by 1.74345 to determine how many kilometers you have traveled.

1.74345 * 210 = 366.1245

You will travel 366.1245 kilometers in 3.5 hours.

Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation: Because its just easy ;/

Answer:

The answer is the fourth one.

[tex]\frac{1}{r^7} +\frac{1}{s^12}[/tex]

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

a^2+b^2=9

(a+b)^2=9

finding the square root on both sides of the equation

a+b=3

Answer:

Step-by-step explanation:

4+6+10+10+15+17+19=81

Then you divide 81 by the numbers of the numbers given. Which is 7 numbers so it will be 81/7 which is 11.57 then you approximate it to 11.

Step-by-step explanation:

5b-b,4b^2/b,...and so on

there are infinite number of equivalent expression..

among them five are here

4*b,

6b-2b,

2*2b,

((5b^3-b^3)/b^2),

2b+2b,etc

Answer:

= 3xy + ( 5x + x) + 3y + ( 4 +2 )

= 3xy + 6x + 3y + 6

Answer:

42

Step-by-step explanation:

x=3

6+x6+x6

6+(3)6+(3)6

6=6

(3)6=18

(3)6=18

6+18+18

24+18

42

Hope this helps ;) ❤❤❤

Answer:

Step-by-step explanation:

[tex]6+x^6+x^6+x\\\\6+(3)^6+(3)^6+3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+\left(3\right)^6+3\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+729+3\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6+729+729+3\::\quad 1467[/tex]

Answer:

A) Roses , C) Alfalfa

Step-by-step explanation:

Each ladybug symbol = 5 ladybugs

Roses: 35 ladybugs

Lettuce: 15 ladybugs

Alfalfa: 25 ladybugs

Grape vines: 10 ladybugs

10 ladybugs go from lettuce to alfalfa. You end up with:

Roses: 35 ladybugs

Lettuce: 5 ladybugs

Alfalfa: 35 ladybugs

Grape vines: 10 ladybugs

Roses and alfalfa end up with 35 ladybugs each.

Answer: A) Roses , C) Alfalfa

Answer:

D

Step-by-step explanation:

The difference between 63y and 35y is 28y. 28/2=14, 28/4=7, 28/7=4, 28/9=not whole number so I'm not doing the math, and to make sure we are right, 28/14=2

Answer:

Step-by-step explanation:

[tex]63y-35y\\=28y[/tex]

[tex]\frac{28y}{2} = 14y\\\\\frac{28y}{4} = 7y\\\\\frac{28y}{7} =4y\\\\\frac{28y}{14} = 2y\\\\\frac{28y}{9} =3.1111y[/tex]

Answer:

the first one i think

Step-by-step explanation:

i can't see the pic clearly make it better, and i will solve for u

Answer:

The slope of the equation y-3=-4(x-5) is -4.

Step-by-step explanation:

This equation is written in point-slope form: y-y₁=m(x-x₁), where "m" is the slope or the equations.  In the equation y-3=-4(x-5), the -4 stands in the "m", or slope, spot, so the sope of this equation is -4.

Slope of the equation is equals to -4.

" Slope is defined as the ratio of the change in y-coordinates to the x-coordinates. It is also known as inclined plane."

General equation of line

y = m x + c                              ____(1)

'm' = slope of the line

'c' = y - intercept

According to the question,

Given equation,

[tex]y-3 = -4(x-5)[/tex]

Open the brackets of the equation we get,

[tex]y-3 = -4x+20[/tex]

Add 3 both the sides of the equation we get,

[tex]y = -4x+23[/tex]                      ______(2)

Compare equation (1) and (2)  to get the slope we have,

Slope 'm' = -4

y-intercept = 23

Hence, slope of the equation is equals to -4.

Learn more about slope here

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Answer:

-1/6

Step-by-step explanation:

- 1/2 + 3/4 x 4/9 = -1/2 + 3(4) / 4(9) = -1/2 + 12 / 36 = -1/ 2 + 1 / 3 = -3/6 + 2/6 = -1/6

The solution for the given expression [tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex] after simplifying the expression is [tex]-\frac{1}{6}[/tex].

Given an expression:

[tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex]

It is required to find the value of the expression after simplifying the expression.

Since there is more than one operation used in this expression, the rule of BODMAS has to be used.

The expression in brackets has to be solved first, which is [tex]\frac{3}{4} \times \frac{4}{9}[/tex].

Here, the numerator of the first fraction and the denominator of the second fraction is 4. So, it can be canceled.

So, this can be simplified as:

[tex]\frac{3}{4} \times \frac{4}{9} =\frac{3}{9}[/tex]

         [tex]=\frac{1}{3}[/tex]

The whole expression thus is [tex]-\frac{1}{2} +\frac{1}{3}[/tex].

Make the denominators equal.

[tex]-\frac{1}{2} +\frac{1}{3} =-\frac{3}{6} +\frac{2}{6}[/tex]

            [tex]=-\frac{1}{6}[/tex]

Hence, the value is [tex]-\frac{1}{6}[/tex].

Learn more about Fractions here :

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Answer:

[tex]\bold{\angle NLM = 10^\circ}[/tex]

Step-by-step explanation:

Given a ΔLMN.

Line LN is extended to point O.

such that:

[tex]\text{m}\angle MNO = (5x-13)^{\circ}[/tex]

[tex]\text{m}\angle NLM = (x-4)^{\circ}[/tex] and

[tex]\text{m}\angle LMN = (2x+19)^{\circ}[/tex]

To find:

[tex]\text{m}\angle NLM=?[/tex]

Solution:

Kindly refer to the attached image for the given triangle and dimensions of angles.

Let us recall the external angle property of a triangle:

The external angle of a triangle is equal to the sum of two opposite internal angles.

i.e.

[tex]\angle MNO = \angle NLM + \angle LMN\\\Rightarrow 5x-13 = x-4+2x+19\\\Rightarrow 5x-13 = 3x+15\\\Rightarrow 5x-3x = 13+15\\\Rightarrow 2x=28\\\Rightarrow x =14[/tex]

Putting the value of [tex]x[/tex] in [tex]\angle NLM[/tex].

[tex]\angle NLM=14-4 \\\Rightarrow \bold{\angle NLM = 10^\circ}[/tex]

Answer:

(7x+1)=x-5

Step-by-step explanation:

Answer:

4 and 1/8

Step-by-step explanation:

1 and 3/8 is equivalent to 11/8 which is one lap. If she ran 3 laps, you would multiply 11/8 by 3 which would get you 33/8- which is equivalent to 4 and 1/8.

Answer:

The answer is not -1/2

Step-by-step explanation:

I got the answer from the person above and the answer is not -1/2 so do not believe them.

The third one is the right answer

Answer:

The first one is right. (A)

Step-by-step explanation:

Whenever we talk about compressions we just need to compress one of the axes in this case we are asked to compress the y-axis which means that the only values that will change are the y-values, don't get confused the x values have to stay the same.

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

[tex]\sin x-\sin y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\sin\bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x-\cos y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\cos\bigg(\dfrac{x-y}{2}\bigg)[/tex]

Proof LHS →  RHS

[tex]\text{LHS:}\qquad \qquad \qquad \qquad \dfrac{\sin 2A+\sin 5A-\sin A}{\cos A+\cos 2A+\cos 5A}[/tex]

[tex]\text{Regroup:}\qquad \qquad \qquad \dfrac{\sin 2A+(\sin 5A-\sin A)}{\cos 2A+(\cos 5A+\cos A)}[/tex]

[tex]\text{Sum to Product:}\qquad \dfrac{\sin 2A+2\cos\bigg(\dfrac{5A+A}{2}\bigg)\sin\bigg(\dfrac{5A-A}{2}\bigg)}{\cos2A+\cos\bigg(\dfrac{5A+A}{2}\bigg)\cos\bigg(\dfrac{5A-A}{2}\bigg)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A+2\cos 3A\sin 2A}{\cos 2A+2\cos 3A\cos 2A}[/tex]

[tex]\text{Factor:}\qquad \qquad \qquad \dfrac{\sin 2A(1+2\cos 3A)}{\cos 2A(1+2\cos 3A)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A}{\cos 2A}\\\\.\qquad \qquad \qquad \qquad =\tan 2A[/tex]

LHS = RHS:  tan 2A = tan 2A  [tex]\checkmark[/tex]

The value of [tex]x[/tex] is 7.

Important information:

The given equation can be written as:

[tex]\dfrac{2}{3}(9x)-\dfrac{2}{3}(6)=4x+10[/tex]

[tex]6x-4=4x+10[/tex]

[tex]6x-4x=4+10[/tex]

[tex]2x=14[/tex]

Divide both sides by 2.

[tex]x=\frac{14}{2}[/tex]

[tex]x=7[/tex]

Therefore, the value of [tex]x[/tex] is 7.

Find out more about 'Solve the equation' here:

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Answer:

n=82

Step-by-step explanation:

[tex] \frac{17 + n}{3} = 33 \: \: \: \frac{17 + n}{3} = \frac{33}{1} \: \: \: 17 + n = 99 \: \: \: n = 99 - 17 \: \: \: n = 82[/tex]

Proof:

17+n/3=33

17+82/3=33

99/3=33

33=33

Hope this helps ;) ❤❤❤

Answer:

y=2 16/25

in other words, two and sixteen twenty-fifths

Step-by-step explanation:

y/2-1/5=2-y/3

Move the variables to one side and constants to the other

y/2+y/3=2+1/5

Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator

3y/6+2y/6=2 1/5

5y/6=11/5

Cross multiply

66=25y

y=66/25

y=2 16/25

HOPE THIS HELPS!!!

Answer: 33.33%

Step-by-step explanation:

1 day=24 hrs, 2 days=48hrs

 16hrs/2days × 100%

=16hrs/48hrs × 100%

=0.333... × 100%

=33.33% (rounded)

Step-by-step explanation:

[tex] \frac{16}{100} \times 48(2day) = 7.68\%[/tex]

Answer:

y = 48 - (8x)

Step-by-step explanation:

x = unknown number of coworkers

y = number of chocolates left over

y = 48 - (8x)

Example: If you were to plug in the number 5 for x:

y = 48 - (8(5))

y = 48 - 40

y = 8

The answer is 48-8f

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