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
Suppose you are traveling the world and want to visit Africa this month. The probability that you go to Africa is 23%. When you get to Africa, you can relax at a bar, a pool, or in your hotel room. The probability you relax at a bar is 19%. Assuming traveling to Africa and relaxing at a bar are independent events, what is the probability that you travel to Africa and relax at a bar? Round to the nearest thousandths
Answer:
0.044
Step-by-step explanation:
The joint probability of independent events is the product of their individual probabilities.
P(bar & Africa) = P(bar)×P(Africa) = 0.19×0.23 ≈ 0.044
Answer:
Step-by-step explanation:
geomtry plz help 15 points
Answer:
m∠A=88°
Step-by-step explanation:
∠ABC=∠ACB=46° (base angles of isos triangle)
∠BAC=180°-46°-46° (angle sum of triangle)
=88°
If the parent function is y = 4x, which is the function of the graph?
Answer: y=3(4)x
Explanation: I took the test
The function represented in the graph is y = 3 (4ˣ).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
From the given graph, consider any point.
Consider the point (0, 3).
That is, when x = 0, the value of y is 3.
We have the parent function as,
y = 4ˣ
Then the function represented will be of the form,
y = m (4ˣ)
Substitute the point (0, 3).
3 = m (4⁰)
3 = m × 1 [since any number raised to 0 is 1]
m = 3
So the function is y = 3 (4ˣ).
Hence the function is y = 3 (4ˣ).
Learn more about Functions here :
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Your question is incomplete. The complete question is as given below in the image.
pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee answer
Answer:
no its not a function
Step-by-step explanation:
i hope i help ;)
Given the two similar triangles below, which proportion is not true?
16.5 cm
12 cm
11 cm
با این
8 cm
10.5 cm
7 cm
Answer:
10.5
Step-by-step explanation:
Given the two similar triangles below, which proportion is not true?
i need help with this can ya help
8/12 = 7/10.5 11/7 = 16.5/127/8 = 10.5/1211/16.5 = 8/12Sorry i know this isnt an answer.
no link no bot right please
9514 1404 393
Answer:
10.49
Step-by-step explanation:
Since we know 110 = 10² +10, we can make a first approximation to the root as ...
√10 ≈ 10 +10/21 . . . . . where 21 = 1 + 2×integer portion of root
This is a little outside the desired approximation accuracy, so we need to refine the estimate. There are a couple of simple ways to do this.
One of the best is to use the Babylonian method: average this value with the value obtained by dividing 110 by it.
((220/21) + (110/(220/21)))/2 = 110/21 +21/4 = 881/84 ≈ 10.49
An approximation of √110 accurate to hundredths is 10.49.
__
The other simple way to refine the root estimate is to carry the continued fraction approximation to one more level.
For n = s² +r, the first approximation is ...
√n = s +r/(2s+1)
An iterated approximation is ...
s + r/(s +(s +r/(2s+1)))
The adds 's' to the approximate root to make the new fraction denominator.
For this root, the refined approximation is ...
√110 ≈ 10 + 10/(10 +(10 +10/21)) = 10 +10/(430/21) = 10 +21/43 ≈ 10.49
_____
Additional comment
Any square root can be represented as a repeating continued fraction.
[tex]\displaystyle\sqrt{n}=\sqrt{s^2+r}\approx s+\cfrac{r}{2s+\cfrac{r}{2s+\dots}}[/tex]
If "f" represents the fractional part of the root, it can be refined by the iteration ...
[tex]f'=\dfrac{r}{2s+f}[/tex]
__
The above continued fraction iteration adds 1+ good decimal places to the root with each iteration. The Babylonian method described above doubles the number of good decimal places with each iteration. It very quickly converges to a root limited only by the precision available in your calculator.
A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability
distribution?
Considering that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, the probability distribution is given by:
[tex]P(X = 1) = 0.1111[/tex]
[tex]P(X = 2) = 0.2222[/tex]
[tex]P(X = 3) = 0.1111[/tex]
[tex]P(X = 4) = 0.2222[/tex]
[tex]P(X = 5) = 0.1111[/tex]
[tex]P(X = 6) = 0.2222[/tex]
The symbolic distribution is:
[tex]P(X = 1) = y[/tex]
[tex]P(X = 2) = x[/tex]
[tex]P(X = 3) = y[/tex]
[tex]P(X = 4) = x[/tex]
[tex]P(X = 5) = y[/tex]
[tex]P(X = 6) = x[/tex]
The sum of all probabilities is 1, hence:
[tex]3x + 3y = 1[/tex]
Simplifying by 3:
[tex]x + y = 0.3333[/tex]
[tex]y = 0.3333 - x[/tex]
2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, hence:
[tex]x = 2y[/tex]
[tex]x = 2(0.3333 - x)[/tex]
[tex]3x = 0.6667[/tex]
[tex]x = \frac{0.6667}{3}[/tex]
[tex]x = 0.2222[/tex]
Then:
[tex]y = 0.3333 - x = 0.3333 - 0.2222 = 0.1111[/tex]
Hence, the distribution is:
[tex]P(X = 1) = 0.1111[/tex]
[tex]P(X = 2) = 0.2222[/tex]
[tex]P(X = 3) = 0.1111[/tex]
[tex]P(X = 4) = 0.2222[/tex]
[tex]P(X = 5) = 0.1111[/tex]
[tex]P(X = 6) = 0.2222[/tex]
A similar problem is given at https://brainly.com/question/24855677
Ned fills 2/3 of a bucket in 15 of a minute. How much time will it take him to fill the bucket?
we know he filled 2/3 of the bucket in 15mins, how long for the "whole", namely 3/3 = whole, bearing in mind that 3/3 = 1, just the same as 7/7 = 1 or 1,000/1,000 = 1, so one whole is always 1 fraction wise.
[tex]\begin{array}{ccll} fraction&mins\\ \cline{1-2} \frac{2}{3}&15\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{1}=\cfrac{15}{x}\implies \cfrac{2}{3}x=15\implies \cfrac{2x}{3}=15 \\\\\\ 2x=45\implies x=\cfrac{45}{2}\implies x=22\frac{1}{2}\qquad \textit{22 minutes and 30 seconds}[/tex]
please help me w my khan academy
Answer:
in armed forces is .15%
military dependant is 3%
and civilian is 96%
Step-by-step explanation:
hope this helps! ❄︎
5
Enter the correct answer in the box.
What is the standard form of function ?
f(x) = 4(x + 6)2 + 5
Substitute numerical values into the equation for a, b, and c.
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The standard form of the function is [tex]4x^2+48x + 149[/tex]
The standard form of an equationThe standard quadratic equation is expressed as:
[tex]y = ax^2 + bx + c[/tex]Given the vertex form of an equation expressed as [tex]g(x) = 4(x + 6)^2 + 5[/tex]
Expand the expression:
[tex]f(x) = 4(x + 6)^2 + 5\\f(x) = 4(x^2+12x + 36) + 5\\f(x) = 4x^2+48x + 149\\[/tex]
Hence the standard form of the function is [tex]4x^2+48x + 149[/tex]
Learn more on standard form here: https://brainly.com/question/19169731
Describe the transformation of g(x)=4|x|
[tex]g(x) = 4 |x| = x = 0[/tex]
Write the equation of the function graphed below:
a. f(x) = 2x−−√3 –4
b. f(x) = 2x−−√3 + 4
c. f(x) =x−−√3 + 4
d. f(x) =x−−√3 – 4
Answer:
I have a couple questions before I answer, what do the 2 dashes represent and are the 4s also under the square root?
I need the answer ASAP please, 415 divided by 5
Answer:
83
Step-by-step explanation:
415/5
= 83
you have a goal to sell 100 tickets to a school pizza party if you only completed 50 percent of your goal , did you sell more or fewer than 100 tickets ?
Answer:
you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.
Maria wrote her 606 word
essay in 20 1/5 minutes. At
what rate is she typing?
Answer:
29.5
Step-by-step explanation:
Multiply 606 and 20.5 and get 29.5.
Please help me with this problem
Hello this will be easy for you.
Look at the picture, you have the angle UTR which is of 90° degrees. Thus the angle UTS is also 90° .
But the sum of the angles of a triangle is by property equal to 180° so the angle UVT must be equal to 180-90-64 = 26°.
Now we are getting near to solve that x+8 degrees angle.
Recall that UVT is 26° ok ? So 180-26 = x+8
Thus
x+8 = 154
x = 154 - 8
x = 146
Finally the angle UVS = 154 and the value of x = 146
You can see all the angles in the image attached below
Good luck you will be the best
A chicken is born weighing 1 ounce. It gains 2 ounces each week.
Write an equation that shows the relationship between the chicken's age in weeks, x, and its
weight in ounces,
y = ?
Answer:
y = 1 + 2x
or
y = 2x + 1
Step-by-step explanation:
I hope this helps!
Let "x" represent the chicken's age.
"Y "demonstrates the ounces.
There are 25 students in a class, 7 of them will be chosen to go on a field trip. How many ways can these students be chosen.
Answer:
Step-by-step explanation:
order is not important so
25 ways to fill the first spot
24 ways to fill the second
23 ways to fill the third
...
19 ways to fill the 7th
25•24•23•22•21•20•19 = 2,422,728,000
which also equals 25! / (25 - 7)!
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Answer:
what da hel.l I didn't understood anything
2x.67 find the product draw a picture
Answer:
1.34
Step-by-step explanation:
2x67/100
= 134/100
= 1.34
Solve the equation 3x - 2(x + 1) = 2x - 7
Answer:
X=5
Step-by-step explanation:
Collect like terms then move the terms. Then collect liked terms. Calculate and Chang signs
Answer:
X = 5
Remember, x has a hidden one behind it, so it would be 1x
3x - 2(x + 1) = 2x - 7
Use the distributive property to multiply −2 by x+1.
3x−2x−2=2x−7
Combine 3x and −2x to get x
x−2=2x−7
Subtract 2x from both sides
x−2−2x=−7
Combine x and −2x to get −x
−x−2=−7
Add 2 to both sides
−x=−7+2
Add −7 and 2 to get −5
−x=−5
multiply both sides by -1
x=5
Mr. and Mrs. Bruce took a boat trip which left Cala for Friends’ Island at 11:45 in the morning. The trip lasted for 1 hour and 20 mins. When did they arrive at Friends’ Island?
If your heart rate is 155 beats per minute during strenuous exercise, what is the time per beat in units of seconds
Answer:
5 beats per second
Step-by-step explanation:
statistic operation depends
Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.
Answer:
5^6
Step-by-step explanation:
5 was multiplied repeatedly 6 times, so it's 5 to the power of 6
Answer:
5 to the power of 6 or 5^6
Step-by-step explanation:
$332.8 30percent off
Answer:
232.96$
Step-by-step explanation:
Are the ratios 6:1 and 19:3 equivalent?
Answer: no<3
Step-by-step explanation:
leave a thanks if helped plz
6 A local theater charges $26 for each adult ticket and
$17 for each student ticket. For one show, the theater
took in $988 from adults and $731 from students. How
many people attended the performance?
Answer:
81 people
Step-by-step explanation:
A store pays $79 for a desk and marks the price up by 10%. What is the new price?
Answer: 86.90$
Step-by-step explanation:
10/79=7.90$. 7.90$ + 79.00$= 86.90$
Precalculus: Conics
At the Bellagio Resort in Las
Vegas, one of the fountains
attains a maximum height of 4m
at a horizontal distance of 0.5m
from its spout. If the path of
water is a parabola, find the
height of the water at a
horizontal distance of 0.75m
from the origin.
Answer:
yahoooooooooooooooo
Step-by-step explanation:
What is the perimeter of the shape to the right?