For 16-19, graph each equation or inequality.
16. 2y – 4x < 8
17. -4y > -x + 12
18. | x + 3 |= y
19. |2x – 6| + 2 = y

Answer: Ben will have the most interest.

Step-by-step explanation:

Ali after 3 years.

To use compound interest, the formula is:

= Investment * ( 1 + rate) ^ no. of periods

= 2,000 * ( 1 + 2.5%)³

= £‭2,153.78

Interest = Amount after 3 years - investment

= 2,153.78 - 2,000

= £153.78

Ben after 3 years.

= 1,600 * (1 + 3.5%)³

= £1,773.95

Interest = 1,773.93 - 1,600

= £173.93

Answer:

c

Step-by-step explanation:

Given:

Total number of people = 200

People who prefer coffee = 105

People who prefer tea = 50

The remaining prefer both.

To find:

The fraction of people who prefer both tea and coffee.

Solution:

The number of remaining people who prefer both tea and coffee is

Remaining people = Total number of people - People who prefer coffee - People who prefer tea

Remaining people = 200 - 105 - 50

                               = 45

Now, the fraction of people who prefer both tea and coffee is

[tex]\text{Required fraction}=\dfrac{\text{Remaining people}}{\text{Total number of people}}[/tex]

[tex]\text{Required fraction}=\dfrac{45}{200}[/tex]

[tex]\text{Required fraction}=\dfrac{9}{40}[/tex]

Therefore, [tex]\dfrac{9}{40}[/tex] of people prefer both tea and coffee.

Answer: The 11th term is 6144

Step-by-step explanation: luv ya boo thang

Answer:

The answer is 30°

Step-by-step explanation:

[tex]when \: \: \sqrt{3} \sin( \alpha ) - \cos( \alpha ) = 0 \\ \sqrt{3} \sin( \alpha ) = \cos( \alpha ) \\ multiply \: by \: \frac{1}{ \sqrt{3} \cos( \alpha ) } \\ then \\ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \frac{1}{ \sqrt{3} } \\ \tan( \alpha ) = \frac{1}{ \sqrt{3} } \\ then \: \alpha = 30[/tex]

Answer:

570.50

Step-by-step explanation:

I think it's the correct answer maybe it is maybe it's not

Paul has acquired a car loan of amount $20,538 and is paying off the loan amount in 36 months.  

This means that Paul will be paying $570.50 every month till the completion of 36 months.

The given parameters for the calculation of the monthly installment:

Calculation of the monthly amount of Paul's loan:

[tex]\begin{aligned}\text{Monthly installment of loan}= \frac{\text{Total Amount of Loan Acquires}}{ \text{Total Time taken to Repay off the Loan}} \end{aligned}.[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}= \frac{\$20,538}{36}\end{aligned}[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}=\$570.50\end{aligned}[/tex]

Therefore, the monthly installment of paul will be $57.50.

To know more about the calculation of installment, refer to the link below:

https://brainly.com/question/84351

Step-by-step explanation:

P=m/v

P=102,0 ÷027

P=3,77 that is the density

It is made of copper

Answer:

8 metre

Step-by-step explanation:

cost of flooring per square metre = Rs .9.50

total cost of flooring= Rs760

Area of room= 760/9.50

= 80 m^2

Area of the given room= Lenght × Breadth

length of the room is = 10 m

80= 10 × Breadth

Breadth= 80/10= 8 m

Hence, breadth of the room is 8metre

Answer:

B. linear equation

Step-by-step explanation:

How can you tell that whether the equation is linear or nonlinear?

Using an Equation

Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.

y = -5x + 12 has no exponents that's why it is a linear equation.

Hope this helps:)

Step-by-step explanation:

tsa= total surface area

csa=curved surface area

answer is in the picture

Answer:

I can't help it's past due date. sorry

Step-by-step explanation:

Answer:

60-4 is 56

and 56 by 100

Step-by-step explanation:

The  percentage of his original weight did he lose is 56%.

Given that,

[tex]= ( 60 - 4) \div 100[/tex]

= 56%

learn more about the percentage here: https://brainly.com/question/16616666

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

We have the expression q over 19 = 5 and are asked to solve for q.

We have a dillemma here, q is in a fraction, to solve, all we need to do is get rid of this fraction. Since 19 is the denominator, we can multiply it by both sides :

[tex]\frac{q}{19} = 5[/tex]

19 * 5

95

Therefore :

q = 95

Answer:

log(x^3*y^(-2))

Step-by-step explanation:

two log rules you need to know for this question:

alogb = log(a^b)

logx + logy = logxy

you can start by getting rid of the term in front of the log, or a

also is it 2 minus or 2 times negative? im assuming it's 2 times negative because it is more likely

log (x^3) + log (y^-2) = log (x^3*y^-2)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

5.46666666667

Answer:

5 7/15

Step-by-step explanation:

9 2/3-4 1/5 = 9 10/15-4 3/15=5 7/15

Hello there!

~I hope you and your family are staying safe and healthy!

[tex]4x - 1 = 3[/tex]

We need to start by saying that y = 3

[tex]4x - 1 = y[/tex] or [tex]4x - y = 1[/tex]

Thus, the equation above is in the two variable form where y = 3

Thus, the required equation is [tex]4x - y = 1[/tex]

Let me know if you have additional questions!

~Garebear

Answer:

3: 97

10: 97

9: 83

5: 97

7: 83

16: 97

Im 100% on these answers bc Ive already taken this class :)

Answer:

Step-by-step explanation:

9) m∠3 = m∠2  {Vertically opposite angles}

m∠3 = 97

m∠10 = m∠2       {Corresponding angle}

m∠10 = 97

m∠9 +m∠10 = 180  {Linear pair}

m∠9 + 97   = 180

         m∠9 = 180 - 97

        m∠9  = 83

m∠6 = 83

m∠5 + m∠6 = 180 {linear pair}

m∠5 + 83 = 180

         m∠5 = 180 - 83

m∠5 = 97

m∠7 = m∠6  

m∠7 = 83

m∠8 = m∠5           {Vertically opposite angles}

m∠8 = 97

m∠16 = m∠8      {Corresponding angle}

m∠16 = 97

Answer:

2.5 x 1.5= 3.75

15.75/3.75=4.2

Answer- 4.2

Step-by-step explanation:

Answer:

50 times

Step-by-step explanation:

Red = 5 ; blue = 6 ; green = 3 ; black = 4 ; yellow = 2

Total number of marbles :

(5 + 6 + 3 + 4 + 2) = 20

Probability of drawing a yellow or green marble :

P(yellow) + p(green)

(2 / 20) + (3 / 20)

5 / 20

Hence, Number of times from 200 draws :

(5 / 20) * 200

= 50

Answer:

-11

Step-by-step explanation:

Just add 7 to -18

-18 + 7 = -11

Hope this helped :)

(If you want to check, just do -11 - 7)

Answer:

55 + 22 = n

= 77

n = 77

Hope this helps! :D

Step-by-step explanation:

Answer:

[tex]\sqrt[5]{4}[/tex]  + [tex]\sqrt[10]{3}[/tex]

Step-by-step explanation:

We sure can write 2^2/5+ 3^1/10 as [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex]

// use the [tex]a^{\frac{m}{n} } =\sqrt[n]{a^{m} }[/tex] to transform the expression

Convert [tex]2^{\frac{2}{5} }[/tex] to [tex]\sqrt[5]{2^{2} }[/tex] = [tex]\sqrt[5]{4}[/tex]                        (here a = 2, n = 5, m = 2)

Then convert  [tex]3^{\frac{1}{10} }[/tex] to [tex]\sqrt[10]{3^{1} }[/tex] = [tex]\sqrt[10]{3}[/tex]             (here a = 3, n = 10, m = 1)

Now we get  [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex] = [tex]\sqrt[5]{4}[/tex]  + [tex]\sqrt[10]{3}[/tex] . This is the simplified form, which is the answer.

Complete Question

On a map, 90 miles is represented by 3 inches. A measure of 1/2 inch on the map would represent miles.

Answer:

15 miles

Step-by-step explanation:

From the above question,

3 inches = 90 miles

1/2 inch = x miles

Cross Multiply

3 inches × x miles = 90 miles × 1/2 inch

x miles = 90 miles × 1/2 inch/3 inches

x miles = 15 miles

Therefore, a measure of 1/2 inch on the map would represent 15 miles

Answer:

0.5 kg

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Because you're not supposed to add to the output values, you need to multiply the output values.

Answer:

43 degrees

Step-by-step explanation:

every triangle all three angles equal 180 for a right triangle you know that one angle is 90 degrees for this triangle we know that another angle is 47 so

90+47 = 137 now we can take 180 - 137 = 43

so your third angle is 43

hope I helped!!