race borrows $135,000 at a yearly simple interest rate of 4.5%. How much less would she pay if she pays the loan off in 15 years rather than in 30 years?
Answer:
$226,125
Step-by-step explanation:
the annual percentage rate is $6,075 (135,000×.045)
multiply $6,075 for 15 years = $91,125
add $135,000 (amount borrowed) and $91,125 (amount of interest) = $226,125
She would pay $91,125 less if she pays the loan off in 15 years rather than in 30 years.
What is Simple interest?To calculate simple interest, multiply the loan principal by the interest rate, then by the loan's period. Borrowers can get a rough estimate of the cost of borrowing by calculating simple interest. Simple interest loans are frequently used for auto loans and short-term personal loans.
As per the given data:
Money borrowed by race = $135,000
Simple interest rate = 4.5%
Principal amount (P) = $135,000
Interest paid = [tex]\frac{P \times R \times T}{100}[/tex] {T is time in years}
Interest paid when loan in paid in 15 years:
= [tex]\frac{135000 \times 4.5 \times 15}{100}[/tex] = $91,125
Interest paid when loan in paid in 30 years:
= [tex]\frac{135000 \times 4.5 \times 30}{100}[/tex] = $182,250
Amount she pays less = $182,250 - $91,125 = $91,125
Hence, she would pay $91,125 less if she pays the loan off in 15 years rather than in 30 years.
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In order to conduct an experiment five subjects are randomly selected from a group of 48 subjects how many different groups of five subjects are possible
Answer:
1,712,304 ways
Step-by-step explanation:
This problem bothers on combination
Since we are to select 5 subjects from a pool of 48 subjects, the number of ways this can be done is expressed as;
48C5 = 48!/(48-5)!5!
48C5 = 48!/43!5!
48C5 = 48×47×46×45×44×43!/43!5!
48C5 = 48×47×46×45×44/5!
48C5 = 205,476,480/120
48C5 = 1,712,304
Hence this can be done in 1,712,304ways
Jackson has scores of 80, 90, 83, and 81 on four Math quizzes. What is the score he needs on the next quiz to achieve an average above 85?
Find the GCF ( 50 points!)
Answer:
B
Step-by-step explanation:
Becaus it just is
Answer:yea he right...btw why u cheatin-..on a unit test
Step-by-step explanation:
Which expression is equivalent to
(fg) (5)?
F(5)* g(5)
F(5)+g(5)
5f(5)
5g(5)
Answer:
they F (5) g (5)
Step-by-step explanation:
(fg)=(f.g)
and then this is the first doing (fg)(X)= f(x) [g(x)]
x=5
f(5).g(X)
and they final result is
they top of answer
happy answering
The the composition of f and g denoted by the expression (fg)(5) is equivalent to f(g(5))
What is composition of functions?The composition of two functions f and g is an operation where two functions f and g generates a new function h such that h(x)=f(g(x)).
First we find the value of g(x). If g(x)=y then f(g(x))=f(y).
The value of composition (fg)(x) is equal to f(g(x)).
Thus the value of (fg)(5) is f(g(5)) .
If g(5)=c , some c.
Then (fg)(5)=f(g(5))=f(c)
Hence the value of the composition of f and g of 5 is f(g(5)).
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Calculate for Area. 5 cm
Answer: 25 cm
Step-by-step explanation:
Please help! image below
Answer:
28 units
hope this helps have an amazing day
Find the sum. Write the sum as a mixed number, so the fractional part is less than 1. Number 3. 2 2/3 + 3 2/3 number 5. 9 3/6 + 2 2/6 number 7. 4 3/8 + 1 5/8
Answer:
See explanations below
Step-by-step explanation:
1)2 2/3 + 3 2/3
Convert to improper fraction
= 8/3 + 11/3
= (8+11)/3
= 19/3
= 6 1/3
hence the sum as mixed fraction is 6 1/3
2) 9 3/6 + 2 2/6
= 57/6 + 14/6
= (57+14)/6
= 71/6
= 11 5/6
Hence the value as a mixed fraction is 11 5/6
3) 4 3/8 + 1 5/8
= 35/8 + 13/8
= (35+13)/8
= 48/8
= 6
Hence the value is 6
What is the sum of 3/8 + 2/5
There is an unknown number of people at the table at the
beginning of lunch. Then...
3 more people joined the group.
Then the entire group divided into 2 groups, and
one group left and went outside,
of the total students were left in the lunchroom
5 people joined the group in the lunchroom.
The total number of people in the lunchroom at the
end of lunch was 10
a. Write the equation you can create to show this situation.
b. How many people were at the table at the beginning of lunch? Explain how you know.
Answer:
11 hours ago u prob dont need it
Step-by-step explanation:
123456
Having trouble solving this:
Answer:
option b.
61/1000.
................
Answer:
B: 61/1000
Step-by-step explanation:
B: 61/1000 = 0.061
as a percent is 6.1%
Therefore B or 61/1000 is correct hope this helped!
Which whole numbers does the square root of 69 falls in between?
Which is equivalent to b6/b2
Answer:
yuojsjsjskakavbhjsmsnnxjxj
geometry: help me please!
Answer:
DF = 28 units
AC = 64 units
CF = 32 units
Step-by-step explanation:
In the given triangle ABC points D, E and F are the midpoints of the sides AB, BC and AC.
By midsegment theorem,
"Segment joining the midpoints of each side is parallel and measure the half of the opposite side"
DF = [tex]\frac{1}{2}(BC)[/tex]
= [tex]\frac{56}{2}[/tex]
= 28 units
AC = 2(DE)
= 2 × 32
= 64 units
CF = [tex]\frac{1}{2}(AC)[/tex]
= [tex]\frac{64}{2}[/tex]
= 32 units
...what's
[tex] \sqrt{224} [/tex]
Answer:
it doesnt have any perfect root
Step-by-step explanation:
but in decimal it is 14.97......
Answer:
4√14
Step-by-step explanation:
√224 = √2^5 · 7
= 4√14
Expand and combine like terms.
(7b^5 – b^2)^2
Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 7/7+√14x
A. 7-√14x/7-2x
B.7-√14x/49-14x
C.7-√14x/49-2x
D.7-√14x/7-14x
Answer:
A. (7 - √14x) /(7 - 2x)Step-by-step explanation:
Given the fraction:
7 / (7 + √14x)Rationalize the denominator by multiplying (7 - √14x):
7 / (7 + √14x) =7(7 - √14x) / (7 + √14x)(7 - √14x) =7(7 - √14x) /(49 - 14x) =7(7 - √14x) /7(7 - 2x) =(7 - √14x) /(7 - 2x)Matching choice us A
Keisha is making potato casserole
for a dinner party. She needs of a
potato per guest. How many
potatoes will she need for 9 guests?
Answer:
4 1/2 I think
Step-by-step explanation:
I think but I'm not for sure
identify error GIVEN, bracelets - php200 necklaces php300 sales at least 3600 sells at most 50 pieces of bracelets and necklaces correct the errors
if f(x) = 5x-20 find f(y+2)
Answer:
f(y + 2) = 5y - 10
Step-by-step explanation:
To evaluate f(y + 2), substitute x = y + 2 into f(x), that is
f(y + 2) = 5(y + 2) - 20
= 5y + 10 - 20
= 5y - 10
Which statement is true about their work? Neither student solved for k correctly because K = 2 and StartFraction 1 over 8 EndFraction. Only Adler solved for k correctly because the inverse of addition is subtraction. Only Erika solved for k correctly because the opposite of One-half is Negative one-half. Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.
Question:
Adler and Erika solved the same equation using the calculations below.
Adler’s Work
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
[tex]\frac{13}{8} - \frac{1}{2} = k + \frac{1}{2} -\frac{1}{2}[/tex]
[tex]\frac{9}{8}= k[/tex]
Erika’s Work
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
[tex]\frac{13}{8}+ (-\frac{1}{2}) = k + \frac{1}{2} + (-\frac{1}{2}).[/tex]
[tex]\frac{9}{8}= k[/tex]
Which statement is true about their work?
Answer:
Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.
Step-by-step explanation:
Given
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
Required
What is true about Adler and Erika's workings
Analyzing Adler's work;
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
Adler subtracted 1/2 from both sides
[tex]\frac{13}{8} - \frac{1}{2} = k + \frac{1}{2} -\frac{1}{2}[/tex]
Solving the expression on the left-hand side
[tex]\frac{13}{8} - \frac{1}{2} = \frac{13 - 4}{8} = \frac{9}{8}[/tex]
Solving the expression on the right-hand side
[tex]k + \frac{1}{2} - \frac{1}{2} = k[/tex]
Hence:
[tex]\frac{9}{8}= k[/tex]
So, Adler's workings is correct
Analyzing Erika's work;
[tex]\frac{13}{8}= k + \frac{1}{2}[/tex]
Erika added -1/2 to both sides
[tex]\frac{13}{8}+ (-\frac{1}{2}) = k + \frac{1}{2} + (-\frac{1}{2}).[/tex]
Solving the expression on the left-hand side
[tex]\frac{13}{8} + (-\frac{1}{2}) = \frac{13}{8} - \frac{1}{2} = \frac{13 - 4}{8} = \frac{9}{8}[/tex]
Solving the expression on the right-hand side
[tex]k + \frac{1}{2} + (-\frac{1}{2}) =k + \frac{1}{2} - \frac{1}{2} = k[/tex]
Hence:
[tex]\frac{9}{8}= k[/tex]
So, Erika's workings is correct
Both workings are correct
Answer: Both Adler and Erika are correct
Step-by-step explanation:
On Edge 2021
Marcus believes he can score a goal at least 70% of the time.He runs a simulation where he tracks the number of successful goals out of ten attempts. He runs the simulation 100 times.
Goals 0 1 2 3 4 5 6 7 8 9 10
Frequency 0 1 2 2 1 0 1 18 40 30 5
He decides to use a significance level of 0.05. What can he conclude about his null hypothesis that he will score no more than 6 goals out of 10?
Answer:
The p-value is 0.07, which is more than 0.05. Fail to reject the null hypothesis.
Step-by-step explanation:
It would be very appreciated mister
Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?
A. -1/3
B. 3
C. 5
D. 6
E. -9
Answer:
C. 5
Step-by-step explanation:
plato
Answer:
C. 5
Hope this helps!
Step-by-step explanation:
if Seth used 4 ounces of black beans, how many beans did he use altogether?
Answer: 4 Ounces.
Step-by-step Explanation: I don't know the full context of the problem, but if Seth used 4 ounces, that means that he used 4 ounces all together.
Find the HCF of 45 and 81.
Answer:
3² = 9
Step-by-step explanation:
45 = 3² × 5
81 = 3⁴
================
HCF = 3²
WILL MARK BRAINLIEST PLS DO MY MATH DUE: 1 HOUR
1. a=9 2. k=0 3. w=3 4. x= 5 5. v=14 6. f=8 7. u=5 8. c=1 9. s=8 10. q=1/7 11. k= 1/5 12. j=9 13. r=120 14. b=1.4 15. g= 3.1 and 16. m=25
I also post a picture on how I got each answer.
Hope this helped you out
Answer:
a=9 2. k=0 3. w=3 4. x= 5 5. v=14 6. f=8 7. u=5 8. c=1 9. s=8 10. q=1/7 11. k= 1/5 12. j=9 13. r=120 14. b=1.4 15. g= 3.1 and 16. m=25
Step-by-step explanation:
please help, I really don't get this
Answer:
-8, -8
Step-by-step explanation:
If you add the equations, you get -7x + 4x + 4y - 4y = 24. Canceling out the 4y and the -4y, and adding 4x to -7x, you get -3x = 24. Divide both sides by -3 and you get x = -8. Next, pick an equation and substitute x for -8. I am going to use the first equation. (-7)-8 + 4y = 24 is equal to 56 + 4y = 24. Subtract 56 from both sides to get 4y is equal to -32, and if you divide both sides by 4, you get y = -8.
9514 1404 393
Answer:
(-8, -8)
Step-by-step explanation:
We notice that the coefficients of y are +4 and -4, so have a sum of zero. This means we can add the two equations to eliminate the y-terms.
(-7x +4y) +(4x -4y) = (24) +(0)
-3x = 24 . . . . . . . . . simplify
x = -8 . . . . . . . . . . . divide both sides by -3
Now, we can find y using either equation.
4(-8) -4y = 0
-8 -y = 0 . . . . . . . . divide both sides by 4
-8 = y . . . . . . . . . . add y to both sides
The solution to the system of equations is ...
(x, y) = (-8, -8)
A circle with radius of 1 cm sits inside a 3 cm x 3 cm rectangle.
Y
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
What is the area of the shaded region?
Answer:
6.14
Step-by-step explanation:
Find area of shaded region:
regtangle area - circle area = shaded area
Regtangle area:
3x3=9
Circle area:
Pi (3.14) x radius x radius= 3.14
area all together if shaded region
9-3.14=6.14
find the 7th term of 4,5,6.25
Answer:
same i dont know just need points but good luck