Answer:
C
Step-by-step explanation:
Faye borrowed $9600 at 8% per anum compound interest.
(a) Calculate the interest on the loan for the first year.
At the end of the last year,she repaid $4368.
(b) How much did she still owe at the beginning of the year?
(c)Calculate the interest on the remaining balance for the second year.
Answer:
(a) $768
Step-by-step explanation:
Faye borrowed $9600 at 8% interest compounded per annum.
Solution for question (a):
Amount accumulated is given by;
A = P(1 + [tex]\frac{r}{n}[/tex][tex])^{nt}[/tex]
Where A is the amount, P is the pricipal, r is the rate, n is the number of times in a year, and t is the number of years.
So the amount after one year was;
A = 9600(1 + [tex]\frac{8}{1 * 100}[/tex][tex])^{1 * 1}[/tex] = 9600 × 1.08 = 10368
Interest = Amount - Principal = $10368 - $9600 = $768
a. The interest on the loan for the first year is $768.
b. The amount she still owe at the beginning of the year is $6,000.
c. The interest on the remaining balance for the second year is $480.
a. Interest on loan:
Interest on loan=$9600 × 8%
Interest on loan=$768
b. Amount owed
Amount owed=$9,600+$768-$4368
Amount owed=$6,000
c. Interest on remaining balance :
Interest on remaining balance=$6,000×8%
Interest on remaining balance=$480
Inconclusion the interest is $768, amount owe is $6,000 and Interest on remaining balance is $480.
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Please Help ASAP!!!!!!!!!!!!
Answer:
1. 5b-3
2. 6-b
3. 7-5b
4. 6+4b
My friend needs help plz answer
Answer:
Order the data from least to greatest.
Find the median.
Calculate the median of both the lower and upper half of the data.
Ask me if you need more help!
Step-by-step explanation:
Answer:
31.5
Step-by-step explanation:
Which statement is not true?
Answer:
C
Step-by-step explanation:
There can be multiple solutions when two lines intersect.
HELP PLEASE!!! 100 POINTS
Answer:
3,400
Step-by-step explanation:
Answer: 10.5882353 I think I DO NOT PROMISE THIS IS RIGHT
Step-by-step explanation:
–7 y = –28
Answer:
y = ?
Answer the ? Mark pls
Answer:
y=4
Step-by-step explanation:
-28 divided by -7 equals to 4
Hope this helps!!
Answer: y = 4
Step-by-step explanation:
-7y/-7 = -28/-7 So, Both the -7's cancel out and your left with y= you divide -28 by -7. When you divide both of the numbers you get a positive 4.
Select the correct answer.
The function fx) = 2x + 3x + 5, when evaluated, gives a value of 19. What is the function's input value?
OA 1
OB-1
О с 2
OD. -2
OE-3
The input value that gives an output of 19 is not listed in the answer choices. None of the options are correct.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
We can start by setting up the equation:
2x² + 3x + 5 = 19
Subtracting 19 from both sides:
2x² + 3x - 14 = 0
(2x - 7)(x + 2) = 0
Using the zero product property, we can solve for x:
2x - 7 = 0 or x + 2 = 0
2x = 7 or x = -2
x = 7/2 or x = -2
Therefore, the input value could be either 7/2 or -2.
The answer choices do not include 7/2, but we can check both input values to see which one gives an output of 19:
f(7/2) = 2(7/2)^²+ 3(7/2) + 5 = 19.25
f(-2) = 2(-2)² + 3(-2) + 5 = 3
Thus, the input value that gives an output of 19 is not listed in the answer choices.
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Can someone help me ASAP please. I'll give extra points if right fr
Answer:
y = -1/4x + -6
Step-by-step explanation:
please help me! Which triangles are similar to
△
A
B
C
△ABCtriangle, A, B, C?
43
°
43°
86
°
86°
A
A
B
B
C
C
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
86
°
86°
43
°
43°
E
E
D
D
F
F
△
D
E
F
△DEFtriangle, D, E, F only
(Choice B)
B
86
°
86°
51
°
51°
G
G
H
H
I
I
△
G
H
I
△GHItriangle, G, H, I only
(Choice C)
C
Both
(Choice D)
D
Neither
Answer:
Triangle ABC and triangle EDF
The similar triangles are Δ ABC ~ Δ EDF ~ Δ GHI, both the triangles are similar to Δ ABC.
What are similar triangles?Triangles are similar when their corresponding sides are equal ratios and their corresponding angles are congruent.
Given are triangles, Δ ABC, Δ EDF and Δ GHI,
Since, in Δ ABC and Δ EDF, two angles are shown congruent therefore, both are similar.
Also,
In Δ GHI,
∠ G + ∠ I = 129°
∠ H = 180° - 129°
∠ H = 43°
Since, we get, two angles congruent in both triangles Δ EDF and Δ GHI
Therefore, both the triangles Δ EDF and Δ GHI are similar,
Now,
Since, Δ ABC ~ Δ EDF and Δ EDF ~ Δ GHI,
Therefore, Δ ABC ~ Δ EDF ~ Δ GHI,
Hence, the correct option is "Both"
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Find the distance between a and b
please help!
"a line intercepts the point (3, -4) and has a slope of 17. what is the slope-intercept equation for this line?"
then it has the partially filled out equation:
y=17x+__
Answer:
-55 = b
Step-by-step explanation:
If you fill in the x and the y with the equation you have below, you would get:
-4 = 17(3)+b
Multiply 17 and 3
-4 = 51 + b
-55 = b
Answer:
y=17x-55
Step-by-step explanation:
4 = 17(3)+b
-4 = 51 + b Subtract 51 both sides
-55 = b
Hope this helps :)
Mikah is proving the base angles of this triangle are congruent.
In isosceles triangle QRS, RT is the angle bisector of ∠QRS. Mikah begins the proof by stating ∠1≅∠2. What is a valid reason for this statement?
A. Definition of Angle Bisector
B. Reflexive Property of Congruence
C. Symmetric Property of Congruence
D. Corresponding angles are congruent.
Answer:
its B
Step-by-step explanation:
What is the measure of the missing angle?
The following set of coordinates represents which figure? (1,1), (5,3), (7,7), (3,5)
Answer:
1×1÷11. 5×3=15. 7×7=49 3×5=15 I'm not really sure but is there's anything else
Do it please..............h
Answer:
False
Step-by-step explanation:
-x^2+x is the same as x-x^2.
Only difference is the way it's written.
solve for x enter the number that belongs in the green box
(you will have to right-click on the image and open it in a new tab to be able to see it)
Answer:
fwufuhwwhfwfweofwefwef
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+20)
105
(7-10)
Answer:
x=5
Step-by-step explanation:
Angles in a triangle adds up to 180 degrees
so 105 + (6x+20) + (7x-10) = 180
simplify
115+13x=180
subtract 115 to each side
13x=65
divide by 13
x=5
check work
105 + (6(5) + 20) + (7(5) -10)
105 + (30 +20) +(35 - 10)
105 + 50 + 25 = 180
After swimming 55 feet below the surface of the water, a
fish swims up 30 feet. Use a number line to help you create
an equation that shows the new location of the fish in
relation to the water's surface.
-80 -70 -60 -50 40 -30 -20 -10 0
10
Interpret the sum in the context of the problem.
Answer:
c.
Step-by-step explanation:
when the fish swam down 55, you moved 55 to the left of zero. then when he swam 30 up, you take that 55 and move it 30 towards to the right. since -55 is greater than 30, your answer is still negative. -55+30=-25.
Answer:
C
Step-by-step explanation:
What is (4-4) k I need help
Answer:
zero
Step-by-step explanation:
plot the x- intercept and y- intercept. then write the intercepts as ordered pairs
Answer:
x-intercept = 4
y-intercept = -1
As ordered pairs they would be ( 4, 0) and ( 0, -1)
Step-by-step explanation:
The line goes through 4 on the x line and goes through -1 on the y line.
As an ordered pair you just put the numbers in their x and y spots being ( x, y )
With 4 being on the X and -1 being on the Y it would make them ( 4, 0) and
( 0, -1).
Solve the triangle.
B = 36°, a = 41, c = 20
choices:
b ≈ 27.5, C ≈ 115.5, A ≈ 28.5
b ≈ 45.3, C ≈ 25.5, A ≈ 118.5
b ≈ 45.3, C ≈ 29.5, A ≈ 114.5
b ≈ 27.5, C ≈ 25.5, A ≈ 118.5
The triangle solve for B = 36°, a = 41, c = 20 is:
b ≈ 27.5, C ≈ 115.5, A ≈ 28.5
TriangleTo solve the triangle, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and angles A, B, and C opposite those sides,
c² = a² + b² - 2ab cos(C)
We can use this formula to find the length of the missing side b:
b² = a² + c² - 2ac cos(B)
b² = 41² + 20² - 2(41)(20) cos(36°)
b² ≈ 1074.12
b ≈ 32.8
Now that we have found the length of side b, we can use the Law of Sines to find the measures of angles A and C:
sin(A) / a = sin(B) / b
sin(A) / 41 = sin(36°) / 32.8
sin(A) ≈ 0.274
A ≈ 16.5°
We know that the angles in a triangle add up to 180°, so C = 180° - A - B ≈ 127.5°.
The closest choice to these values is:
b ≈ 27.5, C ≈ 115.5, A ≈ 28.5
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find QR. help please and thank you<3
Answer:
QR = 1.3
Step-by-step explanation:
Sides TQ and TS are congruent, thus Δ QST is isosceles.
RT is a perpendicular bisector, that is it bisects QS at right angles, thus
QR = RS = 1.3
The measure of length of QR is 1.3 units.
What is an isosceles triangle?Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.
In the given triangle TQS, QT=TS=4.7 units, so triangle TQS, isosceles triangle.
In isosceles triangle TQS, TR is the perpendicular bisector.
Then QR=RS= 1.3 units
Therefore, the measure of length of QR is 1.3 units.
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isaac walks 6/10 of a mile in 1/5 of an hour. if his rate remains constant what is the walking rate in mph?
Answer A. 3 mph
A. 3 mph
1.12 unit test
Enter an inequality that represents the graph in the box.
Answer:
45
Step-by-step explanation:
it is blah blah this is the best you multiply by 5 add 40 subtract 5 and add 5 again
complete the addition equation that represents the associative property
Select all numbers that have an absolute value of 0.75.
Choose all answers that apply:
7
5
B
7.5
-0.75
D
0.75
Answer:
d
Step-by-step explanation:
because it's the same number
The absolute value of the number 0.75 is 0.75 .
What is an absolute value?Absolute value of a number is the distance value from zero without considering sign of a number. It is also represented as |x|, where x is any number.
Absolute value of a positive number is that same positive value. Distance of a positive number from zero is that positive number.
So absolute value of 0.75;
|0.75| = 0.75
Therefore, the absolute value of the number 0.75 is 0.75 .
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Beth has had her car for a while and knows that it gets pretty good gas mileage On a recent business trip she used 16.25 gallons of gas and drove 471 miles. To the nearest tenth of a mile, what was her gas mileage? OA) 29 0 mpg OB) 30 0 mpg OC) 28.5 mpg OD) 270 mpg
Answer:
A) 29.0 mpg
you divide 471 by 16.25
can someone 10points!!!!
Answer:
it would be 19/15k
Step-by-step explanation:
Answer:
Hi! I think it's 15/8t and 19/15k
The area of the triangle is 119 square feet. Find the base and the height.
(x + 3) ft.
(x + 6) ft.
Answer:
14 and 17
Step-by-step explanation:
(X+3)(x+6)0.5=119
x^2+9x+18=238
x=11
11+3=14
11+6=17
1 of 10
Factorise
C2 – 49
1
Answer:
The factorization of the given expression is [tex](c - 7)(c+7)[/tex].
Step-by-step explanation:
Consider the provided information.
[tex]c^2-49[/tex]
Use the formula of the difference of the square in order to factorize the given expression: [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]c^2-49=c^2 - 7^2[/tex]
[tex]c^2-49=(c - 7)(c+7)[/tex]
Hence, the factorization of the given expression is [tex](c - 7)(c+7)[/tex].