The final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
For this case, we're provided that:
The interest rate is r = 13.66% = 13.66/100 = 0.1366 (converted percent to decimal)
It is compounding monthly, thus, 12 times a year, or n = 12
The initial amount that the credit card of Victor has = p = $1349.34
Time for which interest was compounded = a year = 1 = t
Thus, the final amount that Victor will owe after one year to the nearest cent is calculated as;
[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 1349.34(1 + \dfrac{0.1366}{12})^{12\times 1}\\\\a = 1349.34(1.01138)^{12} \approx 1245.65 \: \rm (in \: dollars)[/tex]
Thus, the final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65
Learn more about compound interest here:
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Answer:
C
Step-by-step explanation:
I took the test and passed with 100
if 6 people share 990 grams of cookie but each leave behind 27 grams how much grams did each person eat
Answer: 276 grams.
Step-by-step explanation:
If 3x - 5y = 11 and 2x + 3y = 5, then what is the ratio of x to y?
Answer:
-58/7
Step-by-step explanation:
Alright so this is a system of equations. First we'll solve the system, and then find the ratio afterwards.
[tex]3x-5y = 11\\2x+3y =5\\[/tex]
Isolate for y on both.
[tex]2x + 3y = 5\\3y = 5-2x\\y = \frac{5-2x}{3}[/tex]
and
[tex]3x - 5y = 11\\-5y = 11-3x\\y = \frac{11-3x}{-5}[/tex]
Set both equations equal to each other:
[tex]\frac{11-3x}{-5} = \frac{5-2x}{3}\\ \\\frac{3(11-3x)}{-5} = 5-2x\\ \\3(11-3x) = -5(5-2x)\\\\33 - 9x = -25 + 10x\\33 = -25 + 19x\\58 = 19x\\\frac{58}{19} = x[/tex]
We've got x, now let's solve for y:
[tex]y = \frac{11-3x}{-5} = \frac{11-3(\frac{58}{19}) }{-5}[/tex]
Now we got both x and y, and what they equal.
[tex]y = \frac{-7}{19}\\[/tex]
[tex]x = \frac{58}{19}[/tex]
The ratio of x to y, is essentially [tex]\frac{x}{y}[/tex]. So we will calculate that.
[tex]\frac{\frac{58}{19} }{\frac{-7}{19} } = \frac{58}{19} * \frac{19}{-7} = \frac{-58}{7}[/tex]
Need help with this plss
Answer:
LN is a radius
Step-by-step explanation:
a segment drawn from the centre of a circle to a point on the circle is a radius.
Answer:
Radius
Step-by-step explanation:
The radius of a circle is a line segment whose endpoints are the center point of the circle and a point on the circumference of the circle.
Please Help!
A. 18 ft by 27 ft
B. 18 ft by 9 ft
C. 9 ft by 13.5 ft
D. 72 in. by 108 in
Answer:
C
Step-by-step explanation:
I hope it is right, sorry if it's wrong. ☹
( 2 x -6 ) +4 ( x - 3 )
given triangle, ABC is congruent to triangle EDC find A
Answer:
m<A = 30 degrees.
Step-by-step explanation:
m < C in triangle ABC = m < C in EDC so
x + 13 + 42 + x + 13 = 180
2x = 180 - 13 - 13 - 42
2x = 112
x = 56.
So m < C = 56+13 = 69.
m < B = m < D = 81
M < A = 180 - 69 - 81
= 180 - 150 = 30.
Anita is 42 1/2 feet below jared. Steph is 67 3/7 feet above anita. What is stephs position compared to jared. Explain
Check the picture below.
let's firstly convert the mixed fractions to improper fractions and then subtract.
[tex]\stackrel{mixed}{42\frac{1}{2}}\implies \cfrac{42\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{85}{2}} ~\hfill \stackrel{mixed}{67\frac{3}{7}}\implies \cfrac{67\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{472}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{472}{7}~~ - ~~\cfrac{85}{2}\implies \cfrac{(2)472~~ - ~~(7)85}{\underset{\textit{using this LCD}}{14}}\implies \cfrac{944~~ - ~~595}{14}\implies \cfrac{349}{14}\implies 24\frac{13}{14}[/tex]
There were 18 students running in a race. How many different arrangements of first, second, and third place are possible?
Answer:
There are 18 choices for first place, 17 for second, and 16 for third.
Therefore, there are 18 x 17 x 16=4896
So there are 4,896 ways possible
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Write the perimeter of the triangle as a simplified expression.
[tex]2x - 5 + 5 - x + 3x - 2 \\ 5x - x - 2 \\ 4x - 2[/tex]
NEED HELP NOW PLEASE!!! Will give Brainlyist points
I HAVE GOTTEN THE ANSWER
Max made a journey of 700km partly by train and partly by bus.He started his journey at 8.00am. by train which travelled at 50km/hr. After alighting from the train, he took a lunch break of 30 minutes. He then continued his journey by bus which travelled at 75km/hr.The whole journey took 11.75hours. Determine the distance travelled by bus.
so this is the answer
time taken by the train=x
time taken by the bus=y
subtract 30 minutes from the total time taken..hence x+y=10.75
form an equation
x+y=10.75
50x+75y=700
y=6.5
75×6.5=487.5
Answer:
487.5 km
Step-by-step explanation:
Let :
time taken by the train = xtime taken by the bus = ySolving
Subtract 30 minutes from the total time taken.Hence x + y = 10.75Forming an equation
x + y = 10.7550x + 75y = 700y = 6.575 × 6.5 = 487.5 kmConvert
f(x) = 2/3 (x + 3)2
to standard form.
=
Answer:
3
Step-by-step explanation:
adding subtraction multiplication and division
Sofia buys 3.8 pounds of potatoes for $0.85 per pound. Flynn buys 4.2 pounds of potatoes for $0.75 per pound.
How much more does Sofia spend than Flynn?
In a search engine, 40 000 searches are done every
minute.
How many searches are done in an hour?
Write your answer in standard index form.
Answer:
The answer is 2.4 x 10^6
Step-by-step explanation:
You're going to multiply 40,000 by 60
40,000*60=2400000
Therefore the answer in standard index form will be 2.4 x 10^6
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
If VZ=p–7 and WY=p–21, what is the value of p?
Using the midline property;
[tex]2wy = vz[/tex]
[tex]2(p - 21) = p - 7[/tex]
[tex]2p - 42 = p - 7[/tex]
[tex]2p - p = - 7 + 42[/tex]
[tex]p = 35[/tex]
Factorise x squared - 5x - 6
Step-by-step explanation:
please mark me as brainlest
Answer:
(x + 1)(x - 6)
Step-by-step explanation:
We can factor x^2 - 5x - 6 using grouping:
x^2 - 5x - 6x^2 - 6x + x - 6x (x - 6) + (x - 6)(x + 1)(x - 6)Hope this helps!!
You have to flip a fair coin until you get three heads in a row or three tails in a row, what are the odds it takes more thn 10 flips to do so?
(It is not 12.5% please don't answer that)
Answer:
25 percent
Step-by-step explanation:
(05.01 LC) which equation can be used to calculate the area of the shaded triangle below? A. 2(10+6) = 32
B.1 over 2(10 +6) = 8
C. 1 over 2(10 x 6) = 30
D. 2(10 x 6) = 120
Answer:
(c) 1/2(10×6) = 30
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
The shaded triangle has a base of 10 feet and a height of 6 feet. Using these numbers in the formula, the area in square feet is ...
A = 1/2(10×6) = 30 . . . . square feet
This expression matches the 3rd choice.
Sort the fractions in order of size with the largest fraction at the top.
10/12 kg
2/3 kg
21/4 kg
13/4 kg
Answer:
21/4 is the biggest number hope it helps, God bless ya'll!
Step-by-step explanation:
Select the correct answer.
mel is teaching travis how to use a compass and a straightedge to construct a square inscribed in a circle. he tells travis to begin by using a
straightedge to draw any chord of the circle and label it wx. next, his instructions are to use the tools to construct a chord that is a
perpendicular bisector of wx and label it yz. finally, he directs travis to use a straightedge to draw the four chords that make up the square: wy
yx, xz, and zw.
what is the first error, if any, mel made in his instructions to travis?
oa mel's instructions contain no errors.
ob. chord wx must be a diameter of the circle,
oc chord yz is found by constructing a segment congruent to wx.
od the four chords that make up the square are the perpendicular bisectors of wx and yz.
ое. chord wx must be congruent to the radius of the circle.
Answer:
I think the answer is B
Step-by-step explanation:
The error which is made by Mel in drawing square in the circle is that thefour chords that ob , chord wx must be a diameter
What is square?A square is a 2 dimensional figure having four sides and four angles which are equal to 90°. All sides of square are always equals to each other.
How to draw a square in a circle?First draw a circle in which we want to draw such square.
Next draw a chord in the circle.
From one end, draw a straight line connecting a point on the circle and end point of the chord in such a way that the line and chord are perpendicular to each other.
Next draw another line also from the end of line formed in second step.
Lastly draw a line from the other end of chord and join it with the line we have drawn lastly.
In this way we will get square in circle.
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my little sister needs help in this and I don't remember.
True or False. The point (7, 5) lies on the circle centered at the origin and containing the point (5, 2). Justify your answer.
Answer:
the center (0.0)
radius length {5
=x^2+y^2=25
6^2+8^2
36+64
100
which is greater than 25
so Itli outside of circle
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More help please! IF YOU DON'T KNOW THE ANSWER THEN DO NOT ANSWER!
Answer:
8/3 < 8/2
D
Step-by-step explanation:
8/3 = 2.67
8/2 = 4
So, when fractions have equivalent (same) numerators, the one with the lesser denominator is the greater fraction.
There is more left if 8 is divided by 2 than when it is divided by 3
[Answer]8/3 < 8/2
[Answer] D
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Which counterexample shows that the conjecture "Every parallelogram is also a rectangle" is false?
A. A square is both a rhombus and a parallelogram.
B. A pentagon has five sides but is not a parallelogram.
C. A rectangle is a parallelogram.
D. A rhombus is a parallelogram but is not a rectangle.
Answer:
D
Step-by-step explanation:
A doesn't work because a square is not a rhombus
B is out of context
C is true
D makes the most sense to the original question
help me pls pls pls
nonsense=report
nice answer=brainles
pls dont waste my point
6. D ---> Length of all the sides
7. E ---> a tool
8. A ---> 3 sides
9. B ---> 5 sides
10. C ---> 4 sides
-4=7t/5 +4t/5 solve for t
Answer:
t=-\frac{20}{11}
Step-by-step explanation:
If 55% of a number is 132 and 25% of the same number is 60, find 80% of that number.
Answer:
192
Step-by-step explanation:
It is always wise to look carefully at the question to see what information is given, and what information you are asked for. You are given two different fractions of the same number, and you want the value of a third fraction of that number. That third fraction is the sum of the other two.
__
The value of 80% of the number will be the sum of 55% and 25% of the number.
n×80% = n×55% +n×25%
n×80% = 132 +60
n×80% = 192
80% of the number is 192.
_____
Additional comment
Your first clue that there may be something special about this problem lies in the fact that one fraction of a number is all you need in order to find any other fraction. Here, we're given two fractions (55% and 25%), so that is more information than we need. Why? Because it simplifies the problem to one of addition. No proportions need to be solved.
__
If you were interested, you could determine 100% of the number to be ...
132/n = 55/100 ⇒ n = 132(100/55) = 240
or
60/n = 25/100 ⇒ n = 60(100/25) = 240
Then ...
0.80n = 0.80(240) = 192 . . . . 80% of the number
Or, you could write proportions for the 80% value:
80%/55% = n/132 ⇒ n = 132(80/55) = 192 . . . . 80% of the number
80%/25% = n/60 ⇒ n = 60(80/25) = 192 . . . . 80% of the number
__
"Look carefully" includes thinking about the ways the givens and the finds are related.
Which problem solving strategy would be best to solve this problem?
Your friend's house is 12 miles from your home. Your school is one-third the way from your friend's house and your home. The park is one-fourth the way from the school to your friend's house. How far is the park from your home?
A. guess, check and revise
B. write an equation
C. make a table, chart or list
D. make a model or diagram
What is the solution set of the quadratic inequality f
Answer:
A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).
Y=5x+6; x=-2 find the value of y for the given value of x
Answer:
-4
Step-by-step explanation:
5 * -2 = -10 + 6 = -4