Consider y+2=14x.

a. Complete the table for the equation.

x y
0
4
8

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2940\\ P=\textit{original amount deposited}\dotfill & \$7000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &7 \end{cases} \\\\\\ 2940=7000(\frac{r}{100})(7)\implies \cfrac{2940}{7000(7)}=\cfrac{r}{100}\implies \cfrac{3}{50}=\cfrac{r}{100} \\\\\\ 300=50r\implies \cfrac{300}{50}=r\implies \stackrel{\%}{6}=r[/tex]

1: Underline, 'What is the interest rate?'

2: Highlight, 'His initial deposit was $800, and after 500 years, the balance is $842.'

3: 1,3,2,4

Step-by-step explanation:

This is what I can do so far

Answer:

Solution

1cm=60 cm

4.5cm=4.5×60

=270m (breadth)

3.7cm=3.7×60

=222m (length)

Perimeter of rectangle=2(l+b)

=2(222+270)

=2×492

=984m

hope it helps you

make me brainliest if u r satisfied

The perimeter of the rectangular park is P = 984 m

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P of rectangle = 2 ( Length + Width )

Given data ,

Let the scale of the rectangular park be 1 cm = 60m

Now , the Perimeter P of rectangle = 2 ( Length + Width )

The length of the rectangular park L = 4.5 cm = 4.5 x ( 60 )

The length of the rectangular park L = 270 m

And ,

The width of the rectangular park W = 3.7 cm = 3.7 x ( 60 )

The width of the rectangular park W = 222 m

Now , the perimeter of rectangular park = 2 ( 270 + 222 )

The perimeter of rectangular park P = 984 m

Hence , the perimeter of the rectangular park is 984 m

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I'll do the left side.

1:

[tex]-6=\frac{n}{3} -8 \\2 = \frac{n}{3} \\n = 6[/tex]

Inverses are your friends, for example to get [tex]n - 3 = 0[/tex] where n is on one side, do the inverse of subtraction ( addition) so you get [tex]n - 3 + 3 = 3 \\\\n = 3[/tex]

[tex]-7 = \frac{n}{4} - 3 \\-4 = \frac{n}{4}\\n = -16[/tex]

[tex]-13 = 5y + 7 \\-6 = 5y \\[/tex]

On "y" there is a coefficient of 5, aka [tex]5*y[/tex],  the inverse of multiplication is division

[tex]\frac{-6}{5} = y[/tex]

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

You finish the rest, but you gotta remember this, isolate the variable (x, y, z, whatever) by doing inverses

inverses

addition - subtraction

multiplication - division

Everything in math builds on this!!!

Answer:

3

1

0

=

4

5

1

4

Step-by-step explanation:

Answer:66.7%

Step-by-step explanation:

Answer:

[tex]u_n=4.2(0.85)^{n-1}[/tex]

Step-by-step explanation:

[tex]u_1=4.2\\u_2=3.57\\u_3=3.0345\\u_4=2.5793[/tex]

Geometric formula sequence:   [tex]u_n=ar^{(n-1)}[/tex]

(where [tex]a[/tex] is the first term of the sequence and [tex]r[/tex] is the common ratio)

To find the common ratio, divide one of the terms by the previous term:

[tex]r=\frac{u_2}{u_1} =\frac{3.57}{4.2} =0.85[/tex]

From inspection, [tex]a=4.2[/tex]

Therefore, [tex]u_n=4.2(0.85)^{n-1}[/tex]

Answer:

Answer:

[tex]{ \boxed{\tt {a _{n} = 4.94\times 0.85{}^{n} }}}[/tex]

Step-by-step explanation:

» General explicit formula for geometric sequence:

[tex]{ \tt{a _{n} = ar {}^{n - 1} }} \\ [/tex]

» In the sequence given;

[tex]{ \tt{a _{n} = 4.2 \times {( \frac{17}{20}) }^{n- 1} }} \\ \\ { \tt{{a _{n} = 4.2 \times ( \frac{17}{20}) {}^{n} \times ( \frac{17}{20}) {}^{ - 1} }}} \\ \\ { \tt{a _{n} = 4.2 \times ( \frac{17}{20}) {}^{n} \times \frac{20}{17} }} \\ \\{ \tt {a _{n} = 4.94\times 17/20 {}^{n} }}[/tex]

Answer:

Step-by-step explanation:

According to the midsegment theorem, the length of each side of the formed triangle is the half the parallel side of DEF.

So the perimeter is:

[tex]P= \dfrac{1}{2} (d + e + f)[/tex]

[tex]P= \dfrac{1}{2} (12 + 16 + 20)[/tex]

[tex]P= \dfrac{1}{2} (48)[/tex]

[tex]P=\cancel{ \dfrac{1}{2} (48)}[/tex]

[tex]\sf\red{P= 24}[/tex]

Answer:

x=30 y=60 z=120

Step-by-step explanation:

euclid is 180° 180-150=30

x and y are at a 90° angle 90-30=60

the full circle is 360dgrees back around to euclid

180-60=120°

always look for 90°s or 180°s when doing these problems

hope this help buddy

Answer:

28

Step-by-step explanation:

2x-49 is opposite to an angle in line m

taking only line m

55+x+2x-49+90 = 180

3x = 84

x = 28

Answer: 28

Step-by-step explanation:

First gather all the numbers and equal it to 180.

55+x+2x-49+90=180

Then combine like terms you get

3x=84

Then divide 3 from 3x and 84 you get x=28

Answer:

Step-by-step explanation:

[tex]1750(1-0.33)^{\frac{5}{12} }[/tex]  is the expression that best models the situation.

$[tex]1472[/tex] will be value of computer after 5 months.

What is depreciation rate?

The depreciation rate is the percentage rate at which asset is depreciated across the estimated productive life of the asset. It may also be defined as the percentage of a long term investment done in an asset by a company which company claims as tax-deductible expense across the useful life of the asset.

According to question, Steve buys a computer for $[tex]1750[/tex]

This value has a depreciation rate of [tex]33[/tex]% annually.

The expression best models this situation is

[tex]1750(1-0.33)^{\frac{5}{12} }[/tex]

[tex]=1750[/tex]×[tex]0.66^{0.416}[/tex]

[tex]=1750[/tex]×[tex]0.841[/tex]

[tex]=1472[/tex]

Hence, we can conclude that  [tex]1750(1-0.33)^{\frac{5}{12} }[/tex] is the expression that best models the situation and $[tex]1472[/tex]  will be value of computer after 5 months.

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Answer:

Emily has 20 students and Santiago has 18 students in home rooms

Step-by-step explanation:

to figure out the number in Emily's class we need to answer this question - '15 is 75% of what number'?

we can use:

is/of = %/100

is = 15

of = 'n'

75% = 75/100 or 3/4

15/n = 3/4

cross-multiply to get:

3n = 60

n = 20

So there are 20 students in Emily's home room

Now we find the number of students in Santiago's home room:

the question is - '12 is 2/3 of what number'?

we can write this equation:

12 = 2/3n

multiply each side by 3/2 to get:

36/2 = n

18 = n

18 students in Santiago's home room

Answer:

Find the factors of c that add up to b.

Step-by-step explanation:

For example, if you were factoring

x^2 + 12x + 35

a=1

b=12

c=35

In order to factor, we're looking for what multiplies to 35, and adds up to 12. What multiplies to 35 are the factors of 35. In this case its 5 and 7.

5 × 7 = 35

5 + 7 = 12

So you could factor

x^2 + 12x + 35

= (x + 5)(x + 7)

Leading coefficient=a=1

So

the equation becomes

Usually we find factors of ac but as a is 1 so it yields c only

The side BC is 20.5 inches.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

[tex]\rm cos 35^o = \dfrac{a}{25}[/tex] is an equation.

The length of Line segment BC.

In right-angle ΔABC, BC = a.

Then by the equation, a will be.

a = cos 35° x 25

a = 0.819 x 25

a = 20.48 ≈ 20.5

Thus the side BC is 20.5 inches.

More about the trigonometry link is given below.

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Answer:

123°

Step-by-step explanation:

you're finding the measurement of angle xwz, so as you already know the measurement of angle wxy and ywz, you simply have to add the measurements together and you'll get the answer 123° ^^ I hope this helped :)

Answer:

123 degrees

Step-by-step explanation:

Angle XWZ is the combination of both XWY and YWZ. We're given both of the angle measurements, so the sum of both of the angles will give us the answer. 84 + 29 = 123.

well, if the room is 16' x 10', the area of it is simply 16*10 or 160 ft², now, we know that each ft² costs 5 bucks to carpet, so the total cost is just 160 * 5 = 800 bucks.

The cost of 0. 5 kg of beef, considering the cost of 1 kg of beef, can be found to be $ 115

The cost of beef in this instance is directly proportional to the quantity of beef that is being bought by the customer. What this means is that if more kilograms of beef is bought, then the person would pay more for the beef and if less kilograms are bought, less would be paid for the beef.

This is why 1 kg of beef goes for $ 230. And it is why 0. 5 kg of beef would be sold for less.

To find the cost of 0 . 5 kg of beef, the formula is:

= Cost of 1 kg of beef x Number of kilograms of beef purchased

= 230 x 0. 5

= $ 115

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Answer:

The believe the function is 3.

Answer:

since there is one value of Y for every value of X its a function

Step-by-step explanation: like all of its a function

Answer:

12

Step-by-step explanation:

may I have the brainliest

Answer:

B) 12

Step-by-step explanation:

Since the triangles are similar by the AAA (angle-angle-angle) theorem, each pair of corresponding sides is proportional to each other. Thus, since the left triangle is twice as large as the right triangle:

6(2)=x

12=x

Answer:

5:6

Step-by-step explanation:

1) There are 15 prepared students/18 students in total

2) Simplify the fraction 15/18 to 5/6

3) 5 prepared per every 6 students is a ratio of 5:6

Answer:

LN and RQ

Step-by-step explanation:

PQR is just an enlargened version of MLN

RQ is just LN but longer

Answer:

Examples for the problem would be:

1) Robert started to run out of his house as fast as he can
2) But he slowed down when he met up with his friends
3) They then stopped at a park along the way
4) After stopping at the park, they ran the rest of the way to school hoping they wouldn't be late.
or
1) Robert met with his friends right outside his house and raced them to the next block
2) After Robert won, they all walked normally to the park
3) They then stopped at the park for a quick break
4) After realizing class was gonna start in a few minutes, they ran as fast as they could to school

Step-by-step explanation:

For the first part, you want Robert to be running at a normal running speed, such as him racing his friends or just running.
For the second part you want him to be walking at a slower pace.
For the third part you want them to not be moving
For the fourth part, you'll explain how/why they're moving so fast since the graph shows that he ran fastest at this time.

Answer:

-3

Step-by-step explanation:

If I'm reading the question correctly, the table of data has the answer:

Input Output

 1          3

 2          1

 3          0

 4         -1

 n         -3

Answer:

umm so if she makes $50 a week she must have sold special cars, possibly like super cars i guess?

Step-by-step explanation:

The total money Suzie earned in that week is $930.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Suzie Chambers sells cars for a living. She earns $450 per week plus a commission of 5% on sales.

One week she sold $9600 worth of cars.

Now, the total money earned

= 450+5% of 9600

= 450+5/100 ×9600

= 450+0.05×9600

= 450+480

= $930

Therefore, the total money Suzie earned in that week is $930.

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Answer:

1/4

Step-by-step explanation:

Use the slope formula to find the slope.

slope = (y2-y1)/(x2-x1)

slope = -1 - -2 / -2- -6

= 1/4

Answer:

2.8

Step-by-step explanation:

we do 56% times 5= 2.8

so 2.8 is your answer

(this answer was given by my friend who claims this is true.)

Using the slope concept, it is found that:

In this problem, the vertical change is the altitude of 10,000 feet.

The minimum horizontal distance is with an angle of 35º, hence:

[tex]\tan{35^{\circ}} = \frac{10000}{d}[/tex]

[tex]d = \frac{10000}{\tan{35^{\circ}}}[/tex]

[tex]d = 14281.5[/tex]

The maximum horizontal distance is with an angle of 33º, hence:

[tex]\tan{33^{\circ}} = \frac{10000}{d}[/tex]

[tex]d = \frac{10000}{\tan{33^{\circ}}}[/tex]

[tex]d = 15398.6[/tex]

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