Using simple interest, it is found that the principal loan amount was of $156,491.6.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount, which is also called principal. r is the interest rate, as a decimal.In this problem, she paid $984 monthly for 22 years, hence:
[tex]t = 22, A(t) = 984(22)(12) = 259776[/tex]
Interest rate of 3%, hence [tex]r = 0.03[/tex]
Then:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]259776 = A(0)[1 + 0.03(22)][/tex]
[tex]A(0) = \frac{259776}{1 + 0.03(22)}[/tex]
[tex]A(0) = 156491.6[/tex]
The principal loan amount was of $156,491.6.
A similar problem is given at https://brainly.com/question/13176347
What is the midline of the function y=19cos(9x+3)+34 ?
plss help mee
The midline of the function is y = 34.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The midline of a periodic function is the horizontal line that divides the graph of the function into two equal parts.
For a cosine function of the form y = A cos(Bx - C) + D, the midline is given by the equation y = D.
In this case, the function is y = 19cos(9x+3)+34, so the midline is given by the constant term, which is D = 34.
Therefore,
The midline of the function is y = 34.
Learn more about functions here:
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Divide 2/3 by 1/5. Simplify your answer and write it as a mixed number.
Answer:
3.33
Step-by-step explanation:
3.33
mixed number= 3 1/3
Answer:
3 1/3
Step-by-step explanation:
[tex]\frac{\frac{2}{3}}{\frac{1}{5}}[/tex] =
[tex]\frac{2}{3} * \frac{5}{1} = \frac{10}{3}[/tex]
10/3 = 3 1/3
-Chetan K
What percent of 75 is 15? What percent of 15 is 75? What percent of 48 is 20? What percent of 88 is 88?
Write 34% as a fraction in simplest form
Answer:
The answer is that the simplest fraction form of 34% is 17/50
Step-by-step explanation:
Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.
34% = 17/50
Have an awesome day! :D
Answer:
[tex]\frac{17}{50}[/tex]
Step-by-step explanation:
To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as [tex]\frac{34}{100}[/tex].
Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.
[tex]\frac{34}{100}[/tex] = [tex]\frac{17*2}{50*2}[/tex]= [tex]\frac{17}{50}[/tex]
In a math class, the teacher asked the students to find the approximate value of one of the x-coordinates of a point of intersection of two functions: f(x) = 2x2 − 3x + 4 g(x) = 5x − 1 Her students gave her different answers. Which answer is the most accurate?
A.
0.8
B.
0.9
C.
1.9
D.
1.1
Answer:
A. 0.8Step-by-step explanation:
An easy way is to substitute values into both equations and compare:
A. x = 0.8
f(x) = 2(0.8)² - 3(0.8) + 4 = 2.88g(x) = 5(0.8) - 1 = 3B. x = 0.9
f(x) = 2(0.9)² - 3(0.9) + 4 = 2.92g(x) = 5(0.9) - 1 = 3.5C. x = 1.9
f(x) = 2(1.9)² - 3(1.9) + 4 = 5.52g(x) = 5(1.9) - 1 = 8.5D. x = 1.1
f(x) = 2(1.1)² - 3(1.1) + 4 = 3.12g(x) = 5(1.1) - 1 = 4.5As we see the most accurate one is A
Let's graph both function(Attached)
Let's round 0.775
[tex]\\ \sf\longmapsto 0.775[/tex]
[tex]\\ \sf\longmapsto 0.77[/tex]
[tex]\\ \sf\longmapsto 0.8[/tex]
Option A is correct
what is 6/10 plus 4/10
Answer:
1
Explanation:
[tex] \frac{6}{10} + \frac{4}{10} [/tex]
By taking LCM
We get
[tex] \frac{6 + 4}{10} = \frac{10}{10} = 1[/tex]
Answer:
The answer is 10/10 or just 1.
Step-by-step explanation:
If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?
[tex] \rightarrow [/tex] 12.5%
=================================================
Explanation/Solution:To solve, use the formula:
[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]
Solve.
[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2
[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.
[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.
[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.
[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.
[tex] \rightarrow [/tex]x = 12.5
Therefore, the percentage of increase in the item is 12.5%.
Compute r, the correlation coefficient, using the following data.
Answer:
The r=.950
Step-by-step explanation:
The list of ordered pairs below represents a function.
{(-12, –8), (-2,7), (0,4), (-4,3)}
Find the range of the function. Write your answer' as a comma separated list.
Answer:
{-8, 3, 4, 7}
Step-by-step explanation:
range is y values in the ordered pairs
{-8, 3, 4, 7}
y - 2x=4
3x -5y =15 ddddddddddd
Answer:
Hope this is right and helps :)
Step-by-step explanation:
Carrie loves carrots so much that she ate 30 of them for lunch. Her sister doesn’t like carrots as much and only ate 5 of them for lunch. The number of carrots Carrie ate is how many times greater than the number that her sister ate?
left parenthesis negative 2 minus 4 right parenthesis plus left parenthesis 5 minus 10 right parenthesis minus 6 left parenthesis 3 right parenthesis
Answer:-29
Step-by-step explanation:
(-2-4)+(5-10)-6(3)
-6+-5-18
mary,jose and aldo served a total of 82 orders monday at school cafeteria. mary served 6 more orders than jose. Aldo served 2 times as many orders as mary. how many orders did they each serve?
Answer:
See down
Step-by-step explanation:
Mary served 22 orders, Jose served 16 orders and Aldo served 44 orders:
(Mary) 22 + (Jose) 16 + (Aldo) 44 = 82
What is 11% of 96 students
Answer:
8.7
Step-by-step explanation:
8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7
Which name is a correct way to name the tiling?
Answer:
sowing, I'm not sure about the exact answer
Answer:
6^3
Step-by-step explanation:
Marks brother is five years older than mark. Their combined ages add up to 23. How old is mark?
Answer:Mark would be 11
Step-by-step explanation: If we divide 23 and 2 because there's two people we would get 11.5. Now subtract 11.5 by 5 which is 11. Mark is 11 years old. Good luck!
One number is six less than a second number. Twice the first is 12 more than 6 times the second. Find the numbers.
The value of the first number is
The value of the second number is
Answer:
Step-by-step explanation:
Let x be the first number
Let y be the second number
x = y - 6
2x = 12 + 6y
2(y - 6) = 12 + 6y
2y - 12 = 12 + 6y
-4y = 24
y = -6
x = -6 - 6 = -12
GEOMETRY HOMEWORK HELP! PLS!!
Answer:
x = 37°
Step-by-step explanation:
Given the triangle with two given exterior angles, m ∠107° and m ∠110°:
We can use the exterior angle theorem where it states that the measure of each exterior angle of a triangle is equal to the sum of the measures of the opposite and remote interior angles.
Start by finding the supplement of m ∠110°, that will serve as the other remote interior angle.
The supplement of ∠110° is:
∠110° + y = 180°
Where y = represents the other unknown interior angle.
Subtract ∠110° from both sides:
∠110° - ∠110° + y = 180° - ∠110°
y = 70°
Therefore, the other remote interior angle is y = 70°. Now, we can determine the value of x by establishing the following equation:
107° = x° + 70°
Subtract 70 from both sides:
107° - 70° = x° + 70°- 70°
x = 37°
Solve for x in terms of y if 3x - 5 = y.
Answer:
5/3
Step-by-step explanation:
y= 3x - 5
Replace y with 0
0 = 3x -5
Rewrite the equation as
3x−5=0
Add 5 to both sides of the equation.
3x=5
Divide each term by 3 and simplify.
x = 5/3
Hope this helped :)
Pls he’ll I’ll brainlest and add extra points
4
the other really do not make sense
Answer:
2
Step-by-step explanation:
Calculate the volume of the pyramid. Round your answer to the nearest hundredth 10in 7in
Answer:
Place the numbers in their places. b=base h=height.
Step-by-step explanation:
Please help asap..
20 POINTS
THX
Answer:
B
Step-by-step explanation:
we know that the inverse function undoes the original function, there fore we get the answer as the second choice
Answer:
A is correct
Good Luck!!
Expand and simplify the following
√3 (√3 - 1)
√5 (√10 + √2)
Answer:
3 - [tex]\sqrt{3}[/tex]
10+[tex]\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] - 1) → 3 - [tex]\sqrt{3}[/tex]
[tex]\sqrt{5}[/tex] ([tex]\sqrt{10}[/tex] + [tex]\sqrt{2}[/tex] ) → [tex]\sqrt{50}[/tex] + [tex]\sqrt{10}[/tex] → 2[tex]\sqrt{25}[/tex] + [tex]\sqrt{2}[/tex][tex]\sqrt{5}[/tex] → 2(5)+ [tex]\sqrt{10}[/tex] → 10+[tex]\sqrt{10}[/tex]
By the way this is not my work
Answer:
Use unit converter.
Step-by-step explanation:
Which two triangles are congruent by the SAS Theorem?
Answer:
triangle ABC and triangle HFG, I know it is filled out as DCE, but I don't see any triangle DCE
Step-by-step explanation:
check the sides and the angles
What is y, picture below
Answer:
100 Degrees is the value of y.
Step-by-step explanation:
ALL triangles add up to 180 degrees, and in this figure, 40 degrees is on two of the 3 angles so, 40+40=80, 180-80=100.
100 Degrees = y
Help help help help
Answer:
a = (3,6)
b = (9,-3)
c = (-12,-6)
Step-by-step explanation:
Multiply the values of the cordinates by the 3.
(1.2)
3,3
a = (3,6)
(3,-1)
3,3
b = (9,-3)
(-4,-2)
3,3
c = (-12,-6)
Describe in words a sequence of transformations that maps ABC to A' B' C
Write an ordered-pair rule for this sequence of transformations.
Answer:
A reflection over the y-axis followed by a translation 4 units down
Step-by-step explanation:
hope this helps!
resolve this equation
The expression above can be resolved to become; (5a + b)³
According to the question:
We are required to determine resolve the expression as given in the question.To resolve the expression given;
We are required to multiply the polynomials as follows;(5a + b) (25a² + 10ab² + b²)= 125a³ + 50a²b² + 5ab² + 25a²b + 10ab³ + b³However; the expression above can be factorised to become;
(5a + b)³Upon expansion; (5a + b)³ yields the expression gotten earlier;
125a³ + 50a²b² + 5ab² + 25a²b + 10ab³ + b³Learn more about equation:
https://brainly.com/question/21879915
How do I do this man
Answer:
D
Step-by-step explanation:
g(x)=[tex]-\sqrt[3]{x-1}[/tex]