1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maria [59]
2 years ago
9

Identify a pair of Alternate Exterior Angles

Mathematics
1 answer:
Natalija [7]2 years ago
5 0

Answer:

Angles 6 and 3. Hopefully this helps.

You might be interested in
John, Sally, and Natalie would all like to save some money. John decides that it
brilliants [131]

Answer:

Part 1) John’s situation is modeled by a linear equation (see the explanation)

Part 2)  y=100x+300

Part 3) \$12,300

Part 4) \$2,700

Part 5) Is a exponential growth function

Part 6) A=6,000(1.07)^{t}

Part 7) \$11,802.91

Part 8)  \$6,869.40

Part 9) Is a exponential growth function

Part 10) A=5,000(e)^{0.10t}    or  A=5,000(1.1052)^{t}

Part 11)  \$13,591.41

Part 12) \$6,107.01

Part 13)  Natalie has the most money after 10 years

Part 14)  Sally has the most money after 2 years

Step-by-step explanation:

Part 1) What type of equation models John’s situation?

Let

y ----> the total money saved in a jar

x ---> the time in months

The linear equation in slope intercept form

y=mx+b

The slope is equal to

m=\$100\ per\ month

The y-intercept or initial value is

b=\$300

so

y=100x+300

therefore

John’s situation is modeled by a linear equation

Part 2) Write the model equation for John’s situation

see part 1)

Part 3) How much money will John have after 10 years?

Remember that

1 year is equal to 12 months

so

10\ years=10(12)=120 months

For x=120 months

substitute in the linear equation

y=100(120)+300=\$12,300

Part 4) How much money will John have after 2 years?

Remember that

1 year is equal to 12 months

so

2\  years=2(12)=24\ months

For x=24 months

substitute in the linear equation

y=100(24)+300=\$2,700

Part 5) What type of exponential model is Sally’s situation?

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt} 

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

P=\$6,000\\ r=7\%=0.07\\n=1

substitute in the formula above

A=6,000(1+\frac{0.07}{1})^{1*t}\\  A=6,000(1.07)^{t}

therefore

Is a exponential growth function

Part 6) Write the model equation for Sally’s situation

see the Part 5)

Part 7) How much money will Sally have after 10 years?

For t=10 years

substitute  the value of t in the exponential growth function

A=6,000(1.07)^{10}=\$11,802.91 

Part 8) How much money will Sally have after 2 years?

For t=2 years

substitute  the value of t in the exponential growth function

A=6,000(1.07)^{2}=\$6,869.40

Part 9) What type of exponential model is Natalie’s situation?

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt} 

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

P=\$5,000\\r=10\%=0.10

substitute in the formula above

A=5,000(e)^{0.10t}

Applying property of exponents

A=5,000(1.1052)^{t}

 therefore

Is a exponential growth function

Part 10) Write the model equation for Natalie’s situation

A=5,000(e)^{0.10t}    or  A=5,000(1.1052)^{t}

see Part 9)

Part 11) How much money will Natalie have after 10 years?

For t=10 years

substitute

A=5,000(e)^{0.10*10}=\$13,591.41

Part 12) How much money will Natalie have after 2 years?

For t=2 years

substitute

A=5,000(e)^{0.10*2}=\$6,107.01

Part 13) Who will have the most money after 10 years?

Compare the final investment after 10 years of John, Sally, and Natalie

Natalie has the most money after 10 years

Part 14) Who will have the most money after 2 years?

Compare the final investment after 2 years of John, Sally, and Natalie

Sally has the most money after 2 years

3 0
3 years ago
Suppose that events a and b are mutually exclusive with p(a) = ½ and p(b) = ⅓.
irina1246 [14]
No, a & b are not independent if they're mutually exclusive.

Mutually exclusive means the two events cannot occur simultaneously. So if "a" happens "b" cannot. In contrast, two events are independent if the occurrence of one has no effect on the occurrence of the other.



4 0
3 years ago
A phone plan costs $29.99 per month and includes 200 minutes of calling time. Minutes over 200 are charged at a rate of 25 cents
mylen [45]

Step-by-step explanation:

357-200 is 157 extra minutes (we are only counting the extra minutes)

157*0.25 is 39.25 (this is how much is the extra minutes in total cost)

therefore, add 39.25 and 29.99

29.99+39.25 is 62.24

Therefore, the total bill was $62.24

hope this helps :)

Have a nice day !

5 0
3 years ago
Yaro buys a baseball cap for $9.50. He also buys a new baseball. Yaro speads $13.50 altogether.
VMariaS [17]

Answer:

13.5 = 9.5 + x

x=4

Step-by-step explanation:

In this problem, the price of the baseball cap, which is $9.50, and a baseball, whose price is unknown (and therefore must be the variable), total $13.50. So, to set up the equation add the two prices and set them equal to the total, 9.5+x=13.5.

Then, using the subtraction property of equality subtract 9.5 from both sides. This means x=4, so the baseball cost 4 dollars.

4 0
2 years ago
Which are monomials?<br><br> -7<br><br> a<br><br> x + y<br><br><br><br> 24r2st3<br><br><br> bx
amid [387]

Answer:

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Find the discount if a $69.99 item is on sale for $39.99.
    7·1 answer
  • Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational. (2 points)
    7·1 answer
  • Help asap neeed help
    8·1 answer
  • Find the numerator of the equivalent fraction with the denominator 12x - 2/3
    11·1 answer
  • PLEASE HELP! See image. Which relation is a function?
    5·1 answer
  • Nurse aide Jane, was assigned to take vital signs on 5 patients. She started at 7:25am. It took her 10 minutes for the first pat
    11·1 answer
  • What is the least number that has 4 odd factors that are all the same? Each factor is greater than 1, and can have only 1 and it
    14·1 answer
  • The point (5, 7) is reflected over the x-axis. What are the coordinates of its image?
    7·2 answers
  • Find the length of the line segment that connects the points (7, 16) and (47, 140)​
    5·1 answer
  • Y + z-y; use y = 1, and z=3
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!