Answer:
D. 27
Step-by-step explanation:
sum of exterior angles = 360
2x + 56 + 57 + 85 + 4x = 360
6x + 198 = 360
6× = 360 - 198
6× = 162
× = 27
PLEASE HELP ME!! THANK YOU SO SO MUCH!
EXPLANATION = BRAINLIEST & FIVE STARS
One early afternoon, Dennis' shadow is 11 inches long. If Dennis is 60 inches tall, the distance between the top of his head and the end of the shadow is ___ inches.
Answer:
61inchesLet the distance between the top of his head to the end of the shadow be d.
Dennis is standing perpendicular to the shadow. So the triangle formed is a right triangle.
Using the Pythagoras Theorem, d^2 = 11^2 + 60^2 d^2 = 121 + 3600 d^2 = 3721 d = sqrt(3721) d = 61 inches
In a circle, the length of an arc incepted by a central angle is 12mm, and the radius of the circle is 8mm. What is the measure, in radians, of the circle?
3) Ming and Amanda are selling pies for a school fundraiser. Customers can buy blueberry pics and lemon meringue pies. Ming sold i blueberry pie and 3 lemon meringue pies for a total of $66. Amanda sold 4 blueberry pies and 6 lemon meringue pies for a total of $150. Find the cost each of one blueberry pie and one lemon meringue pie.
Paul wants to buy a car. He needs to take out a loan for $7000. The car salesman offers him a loan with an interest rate of 8%, compounded annually. Paul considers two options to repay the loan.
Option 1: Pay $200 each month, until the loan is fully repaid
Option 2: Make 24 equal monthly payments.
a. Use option 1 to calculate
the number of months it will take for Paul to repay the loan.
b. Use option 1 to calculate the total amount that Paul has to pay.
c. Use option 2 to calculate the amount Paul pays each month.
d. Use option 2 to calculate the total amount that Paul has to pay.
e. Give a reason why Paul might choose option 1.
f. Give a reason why Paul might choose option 2.
Answer:
a. It will take approximately 40 months
b. The total amount Paul has to pay is approximately $8,000
c. The amount Paul pays each month is approximately $316.59
d. The amount Paul has to pay is approximately $7,598.16
e. Lower monthly payment
f. Lower total payment amount (amount to be paid)
Step-by-step explanation:
a. The loan amount, PV = $7,000
The annual interest rate, r = 8%
Option 1; The amount of equal monthly payment to repay the loan = $200
Option 2; The number of equal monthly payment to repay the loan = 24
The formula for the present value of an annuity is given as follows;
[tex]PMT = \dfrac{\dfrac{r}{12} \times PV}{1 - \left (1 + \dfrac{r}{12} \right)^{-n}}[/tex]
Where;
PMT = The monthly payment
n = The number of months
Where PMT = $200, we have;
[tex]200 = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-n}}[/tex]
[tex]1 - \dfrac{\dfrac{0.08}{12} \times 7,000}{200} = \left (1 + \dfrac{0.08}{12} \right)^{-n}[/tex]
[tex]1 - \dfrac{7}{30} = \dfrac{23}{30} = \left ( \dfrac{151}{150} \right)^{-n}[/tex]
[tex]-n = \dfrac{ ln \left(\dfrac{23}{30} \right)}{ln\left(\dfrac{151}{150} \right) } \approx -39.988[/tex]
∴ The number of months it will take for Paul to repay the loan, n ≈ 39.988 ≈ 40 months
b. The total amount Paul has to pay, A = PMT × n
Therefore, b plugging in the values of PMT, and 'n', we get;
A ≈ $200 × 40 = $8,000
c. Using option 2, we have;
n = 24
Therefore;
[tex]PMT = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-24}} \approx 316.59[/tex]
The monthly payment, PMT ≈ $316.59
d. The total amount Paul has to pay using option 2, A ≈ 316.59 × 24 = 7,598.16
The total amount Paul has to pay using option 2, A ≈ $7,598.16
e. A reason why Paul might choose option 1 is that option 1 offers lower monthly payment
f. A reason why Paul may choose option 2 is that option 2 offers a lower total amount that he has to pay.
A) It will take 48 months for Paul to repay the loan.
B) Paul will have to pay $ 9,523.42.
C) Paul should pay $ 340.20 per month.
D) Paul will have to pay $ 8164.80.
E) Paul might choose option 1 because his monthly payments would be lower and, therefore, more accessible.
F) Paul might choose option 2 because his total payout would be much less than option 1.
Since Paul wants to buy a car, and he needs to take out a loan for $ 7000, and the car salesman offers him a loan with an interest rate of 8%, compounded annually, and Paul considers two options to repay the loan (Option 1: Pay $ 200 each month, until the loan is fully repaid, and Option 2: Make 24 equal monthly payments), for:
A) Use option 1 to calculate the number of months it will take for Paul to repay the loan. B) Use option 1 to calculate the total amount that Paul has to pay. C) Use option 2 to calculate the amount Paul pays each month. D) Use option 2 to calculate the total amount that Paul has to pay. E) Give a reason why Paul might choose option 1. F) Give a reason why Paul might choose option 2.
The following calculations must be performed:
A) 7000 x 1.08 ^ 4 = 9,523.42
200 x 12 x 4 = 9600
Therefore, it will take 48 months for Paul to repay the loan.
B) Paul will have to pay $ 9,523.42.
C) 7000 x 1.08 ^ 2 = 8,164.80
8,164.80 / 24 = 340.20
Therefore, Paul should pay $ 340.20 per month.
D) Paul will have to pay $ 8164.80.
E) Paul might choose option 1 because his monthly payments would be lower and, therefore, more accessible.
F) Paul might choose option 2 because his total payout would be much less than option 1.
Learn more about maths in https://brainly.com/question/26050723
Find the OL length
Please
Answer:
M N o 3 9:Ol length-P∆kon-60+39-99
i want to know the answer to the sum of f and 6
f + 6 = ?
Well, the answer can be pretty much any number. It all depends on what number f is. f is a variable, so you can plug in any number to replace f.
For example, if f was 5, this is what the equation would look like:
5 + 6 = 11
If f was -3, this is what the equation would look like:
-3 + 6 = 3
So, again, the answer can be anything. It depends on what f is.
help due soon please :C
Answer:
Step-by-step explanation:
27 + D + 2A + C = 25 + D + B + C + A
subtract D, A, C on both sides
=> 27 + A = 25 + B
=> B = A + 2
3D + A + 29 = 2B + D + A + 27
=> 2D + 29 = 2B + 27
=> 2D = 2B + 27 - 29
=> D = B - 1
substitute:
27 + (B - 1) + 2(A + 2) + A = 2A + B + 30
substitute again:
2A + (A + 2) + 30 = 3A + 32
Which fraction has a terminating decimal as its decimal expansion?
One-third
One-fifth
StartFraction 1 Over 7 EndFraction
StartFraction 1 Over 9 EndFraction
Answer:
1/5
Step-by-step explanation:
Answer:
1/5 is the correct answer on edge. 2021
Step-by-step explanation:
Mr. Flourdust is a baker. Today he is making apple pies.
He has 12 bags of apples, with 6 apples in each bag.
He uses 6 apples for each pie.
How many apple pies can Mr. Flourdust make?
Answer:
12 apple pies
Step-by-step explanation:
If he uses 6 apples for each pie and he has 12 bags of apples with 6 apples in each bag, then we can infer that each bag is one pie.
So, 1x12 = 12 apple pies
Hope this helped :)
7 cm Find the circumference of the circle pictured above. Use 3.14 for π
Answer:
43.982297cm
Step-by-step explanation:
hope that helps
have a great day/night
19NBoli
Step-by-step explanation:
if ur radius is 7cm
then
circum of a circle =2pi r
2×3.14×7=43.96
I need help with this
Answer:
Tom
Step-by-step explanation:
After you convert them to decimals 131/593 is 0.22091062394 while 2/9 is 0.22222222222
Please help me with this question I will give 20 points
Answer:
Step-by-step explanation:
A movie theater sells up to 10 tickets at a time online. What is the domain of this graph?
Answer:
I think the correct answer is B
Select the correct answer.
What is the value of g(2)
Answer:
1
answer is D
Step-by-step explanation:
we must calculate it from this equation :
x³ -9x²+27x-25 then
[tex] {2}^{3} -( 9 \times 4 )+ (27 \times 2) - 25 = 1[/tex]
The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H ,applied to the pot.
When H=6 T=90.
What must the cooker setting be if it takes 5 minutes to boil the water?
Answer:
[tex]1.8[/tex]
Step-by-step explanation:
Since the time for the pot of water to boil is inversely proportional to the cooker setting, H, as one goes up, the other must go down:
[tex]T\propto \frac{1}{H}[/tex]
Convert 5 minutes to seconds:
[tex]5\cdot 60=300\:\mathrm{s}[/tex]
Therefore, from the initial data given (When H=6, T=90), the new time is [tex]\frac{300}{90}=3\frac{1}{3}[/tex] larger. Therefore, H must be [tex]3\frac{1}{3}[/tex] times smaller for them to be inversely proportional.
[tex]H=\frac{6}{3\frac{1}{3}}=\boxed{1.8}[/tex]
Can someone help please *odd numbers only!!!!!!*
Answer:
Caitlyn Marie Jenner is an American media personality, socialite, political candidate and retired Olympic gold medal-winning decathlete. Jenner played college football for the Graceland Yellowjackets before incurring a knee injury that required surgery. Convinced by Olympic decathlete Jack Parker's coach, L. D.
Step-by-step explanation:
Hope this helps! Have a good day!
Answer:
Pretty sure 4.1 is an even number, 88° to be exact.
since your homework is quite much and kinda boring, the only thing you could offer me as motivation are brainliests. like in reposting the same sheet.
but this here for free: the of all three angles inside a triangle is 180 degrees.
half a turn of a full circle is 180 degrees, wich is important to calculate excercises 2 and 3 using subtraction.
for the first brainliest you can have 1-4
for the second 5-7 and for the third and fourth 8-9 and 10-11.
the whole sheet for a maybe-brainliest just isn't enough. it's like half an hour of grind work man
f(x)=3x−4 Input is x=3 , Output is
f(x)=−4x+3 Input is x=−3 , Output is
f(x)=−x−1 Input is x=−4 , Output is
f(x)=x2 Input is x=5 , Output is
f(x)=3x−4 Input is x=3 , Output is
3X3-4= 5
f(x)=−4x+3 Input is x=−3 , Output is
4x-3 +3 = -9
f(x)=−x−1 Input is x=−4 , Output is
-(-4-1) =-(-5) =5
f(x)=x2 Input is x=5 , Output is
5x2=10
hope it will help you
Can someone help me with this question?
Answer:
A = 20.25 sq units
Step-by-step explanation:
to find the area of a square you only need to know the measure of one side -- all other sides will be equal to it
it appears the segment is 4.5 units so you would square that to get the area
A = 4.5²
A = 20.25
Using the image below, find the number of squares in the next figure
Answer:
30 squares would be next in sequence
Step-by-step explanation:
each block of squares are adding as many as it takes to make an L around the previous square
how many vertices has a triangular pyramid and a triangular prism
A triangular pyramid has 4 vertices and triangular prisms 6 vertices
Find the measure of angle 7
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answer:
119
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
im sure now
Combine like terms. What is a simpler form of each expression?
-3(4y - 8) – 4y
Answer:
A) -16y+24
Step-by-step explanation:
Distribute -3 with 4y and -8
-12y+24-4y
Add -12y and -4y
-16y+24
Answer is -16y+24
Hope this helps!
Please help with this question from Khan Academy!!!!!!!!!!!!!!!!!!!!!!
Answer:
B = 42
Step-by-step explanation:
B × 2/7 = A
A ÷ 2/7 = B
12 ÷ 2/7 = B
B = 42
What is the least common multiple of these two denominators? 3/6 , 2/12
A: 18
B:12
C:6
D:15
Step-by-step explanation:
simple
multiples of 6= 1, 2, 3, 6
multiples of 12= 1, 2, 3, 4, 6, 12
.L.C.M of 12 and 6= 12
What are the values of x and y
Answer:
??
Step-by-step explanation:
Can't see that clear
Find the scale factor from Triangle ABC to Triangle DEF.
Answer:
The ratio of any two corresponding lengths in two similar geometric figures.
Step-by-step explanation:
You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.
If you divide the length of DE by the length of AB:
a^2/a =a.
You get a scale factor of “a”
Write the fve-number summary for each set of data
Answer:
Step-by-step explanation:
first arrange the data from ascending to decending order
1,5,8,10,11,14,17,19,20,23
Q1=(N+1)/4
=(10+1)/4
=11/4
=2.75
=2 nd item+(3 rd -2 nd)term
=5+(8-5)
=5+3
=8
Q2=(N+1)/2
=(10+1)/2
=11/2
=5.5 term
=(5 th term+6 th term)
=(11+14)/2
=25/2
=12.5
Q3=3(N+1)/4
=3(10+1)/4
=3*11/4
=33/4
=8.25
=8 th term +(9 th -8 th )term
=19+(20-19)
=19+1
=20
Which equation is correct?
please help me :((
Answer:
sin x° = opposite ÷ hypotenuse
Step-by-step explanation:
Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.
If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:
S - sine
o - opposite
h- hypotenuse
C - cosine
a - adjacent
h - hypotenuse
T - tangent
o - opposite
a - adjacent
Which of the following is a factor of x3 + 2x2 - 25x – 50?
Answer:
(x - 5)(x + 2)(x + 5)
Step-by-step explanation:
x³ + 2x² - 25x - 50
x³ + 7x² - 5x² - 35x + 10x - 50
x(x² + 7x + 10) - 5(x² + 7x + 10)
(x - 5)(x² + 7x + 10)
(x - 5)(x² + 2x + 5x + 10)
(x - 5)(x(x + 2) + 5(x + 2))
(x - 5)(x + 2)(x + 5)
Gus has a fish tank that holds 4710 inches^3 of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank.
Answer:
3
Step-by-step explanation:
How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn’t spill a drop? Use 3.14 for pi
Number of times = volume of tank /volume of cylinder
volume of cylinder = πr²h
3.14 x 5² x 20 = 1570
4710 / 1570 = 3 times
