The Brian paid amount of every quarter is $ 4287.79.
We have given that Brian took eight years to pay off his $ 71,900 loan, had an interest rate of 8.16%, compounded quarterly,
we have to determine, if Brian paid quarterly and made the same payment every time, how much was each payment that he made,
P=71900
r=8.16
[tex]r=\frac{8.16}{100}=0.0816[/tex]
[tex]i=\frac{r}{n}=\frac{0.0816}{4}= 1.0204[/tex]
for eight years
[tex]4\times 8=32[/tex]
What is the formula for the monthly payment?[tex]monthly payment=P((1+i)^n/n)[/tex]
Where p=present value
r=interest rate
m=number of compounding periods
n=m(t)
t=times in years
i=r/m
Therefore by using the formula we get,
[tex](71900 \times (1 + 0.0816 / 4) ^ {4\times8}) / (8 \times 4) = X[/tex]
[tex](71900 \times 1.0204 ^ {32}) / 32 = X[/tex]
[tex](71900 \times 1.9083) / 32 = X[/tex]
[tex]137209.2177 / 32 = X[/tex]
[tex]4287.79 = X[/tex]
Therefore, Brian paid $ 4287.79 every quarter.
To learn more about the monthly payment visit :
https://brainly.com/question/2151013
Answer:
3081.54
Step-by-step explanation:
took test 20 mins ago
HELPPPPP WILL MARK BRAINLEST Use the following information and diagram to answer the question.
Given: Quadrilateral ABDC has vertices at A(2,6), B(6,8), C(1,2), and D(5,4).
Prove: Quadrilateral ABDC is a parallelogram.
Which plan for a proof for this problem will show that quadrilateral ABDC is a parallelogram?
1.Use the midpoint formula to find the midpoint of AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯. Show that the midpoint of these two sides has the same x-coordinate. Then, show that the midpoint of BD¯¯¯¯¯¯¯¯ and AC¯¯¯¯¯¯¯¯ has the same y-coordinate. Thus, the quadrilateral is a parallelogram.
2.Use the midpoint formula to find the midpoint of AD¯¯¯¯¯¯¯¯ and BC¯¯¯¯¯¯¯¯. Show that the midpoint for both segments is the same. Since the diagonals of a quadrilateral intersect each other, then the quadrilateral is a parallelogram.
Use the midpoint formula to find the midpoint of line segment cap A cap d and Show that the midpoint for both segments is the same. Since the diagonals of a quadrilateral intersect each other, then the quadrilateral is a parallelogram.
3.Use the midpoint formula to find the midpoint of line segment cap A cap d and Show that the midpoint for both segments is the same. By the definition of midpoint and bisect, line segment cap A cap d and line segment cap b cap c bisect each other. Since the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
4.Use the midpoint formula to find the midpoint of AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯. Show that the midpoint for both segments is the same. Since opposite sides of a quadrilateral have the same midpoint, then the quadrilateral is a parallelogram.
Answer:
According to one study, brain weights of men are normally distributed with a mean of 1.50 kg and a standard deviation of 0.14 kg.
For samples of 12 men, the possible sample mean brain weights have a normal distribution with a mean of 1.50 kg and a standard deviation of 0.0404 kg.
Problem: Determine the percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.50 kg. Interpret your answer in terms of sampling error.
Which is an example of a statistical question?
Question 1
Question 2
Question 3
Questions
How many pets does Alisha have at home?
What is your favorite kind of pet?
Do you like having a pet?
What is Alisha's pet's name?
Question 4
question 1
question 2
question 3
question 4
Answer: How many pets does Alisha have at home?
Step-by-step explanation:
A statistical question, put simply, is something based on facts and numbers. The only option here that is not an opinion is the first option, "How many pets does Alisha have at home?"
Two of the other options have something to do with a bias or an opinion. This is stuff such as "your favorite" or "do you like." The last one has to do with a name, not a number.
Answer:
How many pets does Alisha have at home?
Step-by-step explanation:
question 1
he pentagon has five sides as shown in the figure. The perimeter can be expressed as 5 + 5 + 2 x + x + 2 x.
A pentagon with side lengths of 5, 5, 2 x, 2 x, and x.
Which expression is equivalent to the perimeter expression?
5 + 4 x
10 + 4
5 + 5 x
10 + 5 x
Answer:
10+5x
Step-by-step explanation:
To find the perimeter, let's add up all the sides and combine like terms.
5 + 5 + 2x + 2x + x
Adding 5 and 5 gets us 10, and adding 2x, 2x, and x gets us 5x.
So, the perimeter should be 10 + 5x, or D
A
B
C
D
what is the area of the trapezoid
Answer: b
Step-by-step explanation: the answer is B i think
already answered im good
Yes, based on what I can see, all the answers look fine.
P.S. Try to take a smaller snip of the screen, because now everyone can see who you are.
4 points Kelly walked 5 2/3 miles in 2 hours. How many miles did she walk in one hour if she walked at a steady pace?
Answer:
[tex]\frac{17}{6}[/tex] or in mixed form = 2[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
5 2/3 divide by 2 = 17/6 of 2 5/6
The circumference of the hub cap of a tire is 82.21 centimeters. Find the area of this hub cap. Use
3.14 for it. PLEASE HELP ME
[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=82.21 \end{cases}\implies 82.21=2\pi r\implies \cfrac{82.21}{2\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \cfrac{82.21}{2\pi } \right)^2\implies A=\cfrac{82.21^2}{4\pi }\implies A\approx 538.1[/tex]
Find an equation of the line passing through each of the following pairs of points (−3, 1), (0, 3)
Answer:
y = 2/3x + 3
Step-by-step explanation:
Use rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(3 - 1) / (0 + 3)
= 2/3
So, the slope is 2/3
Plug this and another point into y = mx + b to find b:
y = mx + b
3 = 2/3(0) + b
3 = b
Then, plug b and the slope into y = mx + b
y = 2/3x + 3 is the equation of the line
Find the slope (15 points)
Answer:
-5/3
Step-by-step explanation:
We pick two points on the line
(0,4) and ( 3, -1)
Then use the slope formula
m = ( y2-y1)/ (x2-x1)
= ( -1-4)/(3-0)
= -5/3
Answer: -5/3
Step-by-step explanation: The function follows the slope of rise 5 units, run 3.
Tamara has a rectangular rug with a perimeter of 28 square feet. The rug is 4 feet longer than it is wide. Create an equation that can be used to determine the length and width of the rug. Find the length and width
Answer:
P=L10(2)+W4(2)=28ft
the perimeter of the rectangle is L(2)+w(2)=perimeter.
The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 168 centimeters in 12 seconds.
What is the time in seconds the ant crawls when the total distance is 350 centimeters?
14 s
24 s
25 s
29 s
Answer:
25
Step-by-step explanation:
14 x 25 gives you 350
Answer:
25 is the answer for people that are in k12
3.25- 13 tenths A:10.25 B:3.12 C:2.95
Answer:
3.12
Step-by-step explanation:
13 tenths is the same as 0.13
So the equation is 3.25 - 0.13
Your answer is 3.12
I hope this helps :)
simplify the expression (-3.2) to the zero power
Answer:
1
General Formulas and Concepts:
Anything to the zeroth power is 1 (except 0, which is undef).
Step-by-step explanation:
Step 1: Write expression
(-3.2)⁰
Step 2: Evaluate
1
Alexandra is following a recipe that requires three fourths cup of water. She needs to make 10 servings. How many cups of water does Alexandra need?
One person takes up about 2.5 square feet of space. Use this value to estimate how many people can fit in an area that is 120 feet wide and 300 feet long.
9514 1404 393
Answer:
14,400 people
Step-by-step explanation:
The area is the product of length and width:
A = LW
A = (300 ft)(120 ft) = 36,000 ft^2
Then the number of people is the area divided by the area per person:
(36,000 ft^2)/(2.5 ft^2/person) = 14,400 persons
A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Which quantity is unknown?
A. the total amount paid
B. the number of players
C. the price of a bottle of water
D. the price of an energy bar
Answer: C the price of a water bottle
Step-by-step explanation: The problem states that the energy bar is $2 so it can’t be D. The math problem also states how many players they have so it’s not B. The math problem says how much they paid which is $77 so it’s not A. However the problem doesn’t state how much the price of a water bottle is so therefore it is C.
Answer:
c
Step-by-step explanation: i got it right on the quiz
In a local election there were 5600 registered voters. Of these 3450 voted. What was the percentage that voted?
Answer:
65.18%
Step-by-step explanation:
3450/5600 = 0.6517857...
0.6517857... * 100 = 65.17857...% = 65.18%
Which of the following is a factor of 2x^2 - 7x - 15?
a. 2x - 5
b. x - 5
c. x - 3
Please explain
what is 1 1/4 divided by 5/7
Answer:
1.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
11/4 / 5/7 = 11/4 x 7/5 = 11x7 / 5x4 = 77/20
What is the closest integer to 190?
Answer:
When a number is halfway between the two possible numbers, round up to the greater number. Since 186 is between 180 and 190, and 186 is closer to 190, you round up to 190. You can use a number line to help you round numbers.
Step-by-step explanation:
Please help I got a F in this class
Answer:
1. 10.0
2. 10.0-15.0
Answer:
1. 5 to 10
2. 10 to 15
Step-by-step explanation:
5 to 10 it does not speed up 10 to 15 is when it accelerates fastest
The distance from the center of a circular tent to the tent’s edge is 50 feet. Kelly walked around the edge of the tent twice and then straight to the center of the tent. About how far did Kelly walk?
Answer:
678.32 feet
Step-by-step explanation:
Circumference=2π(radius)=2·π·50≈314.15927
314.15927·2=628.31854
628.31854+50=678.31854
Answer:
678 ft (nearest foot)
Step-by-step explanation:
The distance from the center of a circle its edge is its radius.
Given that the distance from the center of a circular tent to the tent’s edge is 50 ft then:
⇒ radius (r) = 50
The edge of a circle is its circumference
Circumference of a circle = [tex]2\pi r[/tex] (where r is the radius)
Therefore, the circumference of the tent is:
[tex]\implies 2 \cdot \pi \cdot 50=100\pi[/tex] ft
If Kelly walked around the edge of the tent twice, then walked straight to the center:
⇒ total distance walked = 2 × circumference + radius
= 2 × [tex]100\pi[/tex] + 50
= 678.3185307...
= 678 ft (nearest foot)
Find the slope and the y-intercept of the line.
y=7x-4. slope: ? y-intercept: ?
Answer:
Slope: [tex]\boxed {7}[/tex]
Y-intercept: [tex]\boxed {-4}[/tex]
Step-by-step explanation:
About the Slope-Intercept Form equation, the variable [tex]m[/tex] is the slope and variable [tex]b[/tex] is the y-intercept. So, according to the following expression, the slope would be [tex]7[/tex] and the y-intercept would be [tex]-4[/tex]:
-Slope-Intercept Equation:
[tex]y = mx + b[/tex]
Slope: [tex]m[/tex]
Y-intercept: [tex]b[/tex]
-The following expression:
[tex]y = 7x - 4[/tex]
Slope: [tex]\boxed {7}[/tex]
Y-intercept: [tex]\boxed {-4}[/tex]
If k = 4, work out the value of k + 6/2
Answer: 7
Step-by-step explanation: 6/2 is 3, 3+4 is 7
Answer: 8?
Step-by-step explanation: because 6/2 has 4 extra so I guess you add those and get "8"
Tara can type 20 words per minute faster than Steve.
Their combined typing speed is 130 words per minute.
Write and solve an equation to find both Tara and
Steve's typing speed.
Answer:
it is 6.5
Step-by-step explanation:
“ a number increases by thirty-five “ (translating expressions)
Answer:
n + 35
Step-by-step explanation:
Let's convert the words to math:
"a number" we can define as n.
"increases" we can define as addition, or sum (+).
"thirty-five" we can define as 35.
We then combine all the translations:
n + 35
Zing's Wings Shack lets customers mix their own sauces. Last night, Jared and Tyler were both in the mood for spicier wings than usual. Jared mixed 4 pumps of spicy sauce and 6 pumps of sweet sauce to put on his wings. Tyler mixed 3 pumps of spicy sauce and 9 pumps of sweet sauce to put on his wings. Who used a greater ratio of spicy sauce to sweet sauce?Zing's Wings Shack lets customers mix their own sauces. Last night, Jared and Tyler were both in the mood for spicier wings than usual. Jared mixed 4 pumps of spicy sauce and 6 pumps of sweet sauce to put on his wings. Tyler mixed 3 pumps of spicy sauce and 9 pumps of sweet sauce to put on his wings. Who used a greater ratio of spicy sauce to sweet sauce?
Answer:
jared used a greater ratio
Step-by-step explanation:
A lawn sprinkler located by a driveway is set to rotate 180° and project water 15 feet. What is the area of the lawn that is being watered? Round your answer to the nearest tenth of a square foot
Answer:
353.4 square feet
Step-by-step explanation:
radius = 15 feet
Area of circle = pie x r^2
(but this is a semi circle as its 180 degrees so half it)
(pie x 15^2) / 2 = 353.429
353.4
Help i have 50 questions for homework and I need help with the 32nd question (just one question). 26 points for answer and brainliest for best answer
Answer:
54.2%
Step-by-step explanation:
desmos scientific
54.2% of 1450 = 785.9
Round it and it will be 786,
because 9 is after 5 so it adds one to 785.
Please give me Brainliest.
I hope this helped! :)
can someone help i have alot of home work and i need help with some
Answer:
it's not showing the question so how will I tell you