Willard Hudson took out a simple interest loan of $6,000.00 at 10 percent interest for 24 months. His monthly payment is $276.60 After 4 payments the balance is $5,082.21. He pays off the loan when the next payment is due. What is the interest? What is the final payment? How much is saved by paying the loan off early?
9514 1404 393
Answer:
a) $42.35
b) $5124.56
c) $407.44
Step-by-step explanation:
a) The interest due is that for one month on the remaining balance:
I = Prt
I = $5082.21·0.10·1/12 = $42.35
__
b) The final payment is ...
$5082.21 +42.35 = $5124.56
__
c) Had Hudson continued paying, he would have paid ...
20·$276.60 = $5532.00
So, he saved ...
$5232.00 -5124.56 = $407.44
geometry question stated above
Answer:
E. HL
Step-by-step explanation:
In the diagram given, it is indicated that both right triangles have an Hypotenuse and one corresponding leg that are congruent to each other.
Therefore, based on the Hyotenuse-Leg (HL) Congruence Theorem, both triangles are congruent.
A and B are complementary angles. If m A = (4x + 24) and m
ZB = (3x – 4)º, then find the measure of B.
Answer: 26
Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in
(4x+24)+ (3x-4)=90, then combine like with like.
7x+20=90
7x=70
x=10
Then let plug it in for angle B
(3(10)-4= 26
Answer:
x = 10°
∠B = 26°
Step-by-step explanation:
complementary means they add up to 90 degrees.
4x + 24 + 3x - 4 = 90°
combine like terms:
7x + 20 = 90°
7x = 70°
x = 10°
What is 1.34 multiplied by 0.32 when rounded to the nearest hundredth
Step-by-step explanation:
lolekieieieieieooe EP of everything e
The multiplication of the given numbers is obtained as 0.43.
How to round off a given number?A number can be rounded to a certain place by looking at the number just after that place. If it is greater than or equal to 5, one is added otherwise it is kept as the same.
The given numbers are 1.34 and 0.32 respectively.
The multiplication of these numbers are given as follows,
1.34 × 0.32
= 0.4288
In order to round it to the nearest hundredth, look at the digit at the thousandth place.
Here, it is given as 8 which is greater than 5.
Thus, the required number is 0.43.
Hence, the required number obtained after the rounding to the nearest hundredth is given as 0.43.
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Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
x=3
y=0
i hope this helps:)
Step-by-step explanation:
St
Question 1
Calculate the derivative of y = f(x) = 3 x(4x + 7)
Your answer:
Answer:
[tex]\frac{dy}{dx} = 24 x + 21[/tex]
Step-by-step explanation:
Explanation:-
Given that the function
y = f(x) = 3 x ( 4 x + 7)
y = 3 x ( 4 x + 7)
y = 12 x² + 21 x ..(i)
Differentiating equation (i) with respective to 'x' , we get
[tex]\frac{dy}{dx} = 12 (2x) +21 (1)[/tex]
[tex]\frac{dy}{dx} = 24 x + 21[/tex]
Compute 292, 000 divide 100.
a new car is purchased for 15500 dollars. the value of the car depreciates at 7.5% per year. what will the value of the car be, to the nearest tenth, after 6 years.
Answer:
$9,709.17
Step-by-step explanation:
Diego drank x ounces of juice. Lin drank 1/8 less than that.
Answer:
Step-by-step explanation:
Simplify the expression
(6c + 2) - (-4c - 8)
Answer:
2c+-6
Step-by-step explanation:
add the Cś then add the numbers
The functions below show the amount of money Bella and Sweet T had saved after earning money for doing chores.
Which description best compares the two functions?
Answer:
Bella saves more per chore than sweet t
Step-by-step explanation:
Becuase i just did it
The comparison situation is:
Bella save more per chore than Sweet T.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
Bella's amount: d= 3.5c + 11
Sweet T amount:
Rate of Change = (14-12)/ (2-1)= 2
So, d = 2c + 12
Thus, the initial saving of Bella is less than Sweet T and Bella save more per chore than Sweet T.
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Solve for y: y+4 = -2(x – 6)
Write an algebraic expression for the word expression. the quotient of 10 times m and 7
Answer:
10m/7
Step-by-step explanation:
quotient means division so 10 times m is 10m
and then we will divide 10m and 7
10m/7
please mark as brainliest
4(x+4) + 2x = 52 need answer
Answer:
x=6
Step-by-step explanation:
Tara and Edward each painted their bedrooms. They finished in the same amount of time, Even thought Edwards bedroom is bigger. They have 4 hours to start painting the basement before dinner is ready. Who will likely paint a larger part if the basement?
Answer:Edward
Step-by-step explanation:
What’s the percentage as a decimal
Answer:
0.0006
Step-by-step explanation:
Rewrite the inequality:
a ≥ 9
Find the diameter and circumference of the circle below : r=8cm.
Answer:
Diameter= 16 cm circumference is 50.24
Step-by-step explanation:
The diameter and the circumference of the circle should be 16 cm and 50.24 respectively.
Calculation of the diameter and the circumference of the circle:Since the radius is 8 cm
So here the diameter be
= 2(radius)
= 2 (8)
= 16 cm
Now the circumference of the circle is
[tex]= 2\pi r\\\\= 2 \times 3.14 \times 8[/tex]
= 50.24
hence, The diameter and the circumference of the circle should be 16 cm and 50.24 respectively.
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Lillian has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 10 ounces of lemonade and each large cup hold 24 ounces of lemonade. Lillian used 580 ounces of lemonade and sold twice as many large cups as small cups. Write a system of equations that could be used to determine the number of small cups sold and the number of large cups sold. Define the variables that you use to write the system.
Answer:
580/24
Step-by-step explanation:
=24.something
Answer:
s= number of small cups sold
l= number of large cups sold
system of equations:
10s+24l = 580
l = 2s
Step-by-step explanation:
What is the common factor in the expression 5ײ+20×+30?
Answer:
2t-6
Step-by-step explanation:
Can you guys help me with these to questions whoever answers this correct gets marked brainliest I need it before 6:00 pm please help
Answer:
if you are doing the absolute value.....
7.) since 17 -16 is 1. l1l is 1
11.) since l-101l is a negative that absolute value is 101
the absolute value is the distance from 0
On a hot day, a football team drank an entire 50-gallon cooler of water and half as much again. How much water did they drink?
Jada has 12 library books checked out and Han has one third less than that. How many books does Han have checked out?
Hi there :)
So since they initially drank 50 gallons, half of that is 25 gallons. 50+25= 75, therefore they drank 75 gallons.
Jada has 12 library books and 1/3 of that is 4, because 12 divided by 3 is 4, so 12-4=8. That means Han checked out only 8 books.
Good luck with the rest of your assignment, have a good day/night!!
Lily used a coordinate plane to graph the path she walked from her house to the library. She started at her house at point A(–6, –3), walked to a store at point B(5, –3), and then walked to the library at point C(5, 7). If each unit on a coordinate grid equals one block, how many blocks did Lily walk from point A to point B to point C? Enter the number in the box.
Answer:
21
Step-by-step explanation:
The units Lily walked are 21 units.
What is distance?Distance is defined to be the magnitude or size of displacement between two positions.
Given that, Lily used a coordinate plane to graph the path she walked from her house to the library. She started at her house at point A(–6, –3), walked to a store at point B(5, –3), and then walked to the library at point C(5, 7).
We know that, the distance between the two points is given by =
D = [tex]\sqrt{(x_{2}-x_{1} )^2 +(y_{2} -y_{1})^2 }[/tex]
The given points are A (–6, –3), B (5, –3) and C (5, 7).
The distance between her house and the store (AB) =
[tex]\sqrt{(5+6)^2 +(-3+3)^2} \\= \sqrt{121} \\= 11[/tex]
Therefore, The distance between her house and the store (AB) = 11 units
Similarly,
The distance between the store and the library (BC) =
[tex]\sqrt{(5-5)^2+(7+3)^2} \\= \sqrt{100} \\= 10[/tex]
Therefore, The distance between the store and the library (BC) = 10 units
Therefore, the total distance = 10+11 = 21 units
Hence, She walked a total 21 units from point A to C.
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What’s 57.036 in word form
Calculate the length of the unknown side of the right-angled triangle
I will mark brainliest if you give me the answer
Answer:
17
Step-by-step explanation:
Shape: Isosceles Right Triangle.
Isosceles Right Triangles always have two sides of equal length. In this case, the sides of equal length include 17 and 17. The third side (9) would refer to the base, so it would not count.
Also, if you turn the shape sideways, you can see that the unknown side would be 17.
Hope this helps!
y=5, 12+4y= what is the answer
Answer:
x2
Step-by-step explanation:
x2 82
Answer: 32
Step-by-step explanation: since y=5, 4y= 20. 12+20=32
TI 14v Save for Later I'm Done 4th Grade - Week 2 4.0A.A.1: 4.0A.A.2, 4.0AA3; 4. NBI Monday 1. Michael has 6 apples and 18 oranges. How many times more oranges than apples does Michael have?
Answer:
Michael has 3 times more oranges than apples.
Step-by-step explanation:
Given that:
Number of apples = 06
Number of oranges = 18
Let,
x be the number of times.
Number of oranges = Number of times * Number of apples
18 = x * 6
18 = 6x
6x = 18
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]
Hence,
Michael has 3 times more oranges than apples.
please help me with this 100 points
Answer:
2m + 153.5
Step-by-step explanation:
Hey there
2m = The word times means multiplication. So, multiply 2 and m.
153.5 = The phrase more than means addition. So, add 2m and 153.5.
hope it helped
Answer:
why would you lie about giving the points-
Step-by-step explanation:
What would the graph look like for ^
Answer: The correct option is the first one.
Step-by-step explanation:
Let's define how to interpret each symbol:
x < a (x is strictly smaller than a, we graph this with an open circle at a, and an arrow to the left of a)
x > a (x is strictly larger than a, we graph this with an open circle at a, and an arrow to the right of a)
x ≥ a (x is larger than or equal to a, we graph this with a closed circle at a, and an arrow to the right of a)
x ≤ a (x is smaller than or equal to a, we graph this with a closed circle at a, and an arrow to the left of a)
In this case, we have the inequality:
x ≤ 15
Then to graph this we need a closed circle at 15, and an arrow to the left. The correct option is the first one.
Please answer quickly Thank You
Answer:
A. $ 46
B. 12 people.
Step-by-step explanation:
From the question given above, we obtained the following:
C(x) = 6.5x + 20
Where:
C => total cost of bowling
x => number of people
A. Determination of the of bowling for 4 people.
Number of people (x) = 4
Total cost (C) of bowling =?
C(x) = 6.5x + 20
C(4) = 6.5(4) + 20
C(4) = 26 + 20
C(4) = $ 46
Thus, it will cost $ 46 for 4 people to bowl
B. Determination of the number of people that can bowl for $ 98.
Total cost (C) of bowling = $ 98
Number of people (x) =?
C(x) = 6.5x + 20
98 = 6.5x + 20
Collect like terms
98 – 20 = 6.5x
78 = 6.5x
Divide both side by 6.5
x = 78 / 6.5
x = 12
Thus, 12 people can bowl for $ 98.