Answer: a. After 5 years, you will have approximately= $ 6,850.43 .
b. The interest is approximately =$ 1850.43
Step-by-step explanation:
Given: Principal amount (P) = $5000
Rate of interest (r)= 6.5% = 0.065
n= 1 (compounded annually)
a) Time (t) = 5 years
Formula for accumulated amount :
[tex]A=P(1+\dfrac rn)^{nt}[/tex]
Then,
[tex]A=5000(1+0.065)^5\\\\=5000(1.065)^5\\\\=5000(1.37008666342)\\\\\approx \$\ 6850.43[/tex]
Hence, After 5 years, you will have approximately $ 6,850.43 .
b) Compound interest = A-P
= $ 6,850.43 - $ 5,000
= $ 1850.43
Hence, The interest is approximately $ 1850.43.
52-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is two inches more than seven times the length of the first piece. Find the lengths of the pieces. The lengths of the first, the second, and the third pieces are in, in, and in respectively.
Answer:
First piece = a = 5 inches
Second piece = b = 10 inches
Third piece = c = 37 inches
Step-by-step explanation:
Let us represent:
First piece = a
Second piece = b
Third piece = c
52-inch piece of steel is cut into three pieces.
a + b + c = 52 inches
The second piece is twice as long as the first piece
= b = 2a
The third piece is two inches more than seven times the length of the first piece.
= c = 2 + 7(a)
Find the lengths of the pieces. The lengths of the first, the second, and the third pieces are in, in, and in respectively.
a + b + c = 52 inches
Substitute 2a for b
2 + 7a for c
a + 2a + 2 + 7a = 52
Collect like terms
10a = 52 - 2
10a = 50
a = 50/10
a = 5 inches.
b = 2a
b = (2 × 5)
b = 10 inches
c = 2 + 7a
= 2 + 7(5)
= 2 + 35
= 37 inches
3, Find the total price of a a video game that costs $60.00 with a 7% tax-
Enter the number only. Round to the nearest cent.
A math test had 26 questions. The questions were either true/false or multiple choice. The true/false questions were worth 2 points each and the multiple choice were worth 5 points each. If the test is worth 100 points, how many of each type of question are included on the test?
Answer:
True/ false type 10 questions
Multiple choice type 16 questions
Step-by-step explanation:
Using the given formation we can make equations to solve for the number of questions of either type is to be included
let the no of true/false be =x
let the number of multiple choice to be included be = y
x + y=26 .............(1)
now making the equation of points
2x + 5y = 100 .........(2)
substitute y = 26-x from first equation in the second equation
2x + 5(26 - x ) = 100
2x - 5x + 130 = 100
3x=30
x=10
y =26-10=16
If $a$ is the $x$-intercept, $b$ is the $y$-intercept, and $m$ is the slope of the line with equation $\frac{x}4 + \frac{y}{12} = 1$, then what is the value of $a + b + m$?
Answer:
AAA
Step-by-step explanation:
GET ECKED
Answer:
13
Step-by-step explanation:
This is my first time posting, so sorry if this isn't that clear.
Anyways:
We want to find the x-intercept, and the y-intercept. The x-intercept will always have 0 as y, and the y-intercept will always have 0 as x.
We can find the x-intercept by plugging in 0 as y. So:
x/4+0/12=1
x/4=1
x=4
a=4 (since a is equal to the x-intercept.)
We can find the y intercept by plugging in x as 0:
0/4+y/12=1
y/12=1
y=12
b=12
We can find the slope by using the equation y2-y1/x2-x1, but theres an easier way. Simplifying the original equation x/4+y/12=1 into y=--3x+12 immediatly gets us the slope of -3.
So, 12+4-3=13.
(In case you didn't know how I got y=-3x+12. This is how:
x/4+y/12=1
12(x/4+y/12)=1(12)
3x+y=12
y=-3x+12 )
Complete the work to solve for y:
2
5
(
1
2
y + 5 ) −
4
5
=
1
2
y − 1 +
1
10
y
1.Distributive property:
1
5
y + 2 −
4
5
=
1
2
y − 1 +
1
10
y
2.Combine like terms:
1
5
y +
6
5
=
3
5
y − 1
3.Subtraction property of equality:
6
5
=
2
5
y − 1
Addition property of equality:
11
5
=
2
5
y
4.Division property of equality:
Answer:
11/2
Step-by-step explanation:
me took it on Ed with this question
Answer:
11/2
Step-by-step explanation:
i just got it correct
f(x) = 3x - 8 and g(x) = -x - 4. Find (f + g)(x) and (f + g)(5).
Answer:
(f+g)(x) = 3x - 8 -x -4
(f+g)(x) = 2x-12
(f+g)(5) - substitute 5 into x
(f+g)(5) = 2(5)-12
(f+g)(5) = 10-12
(f+g)(5) = -2
Step-by-step explanation:
Give 5 reasons explaining why math is your favorite subject.
Give 5 reasons why you dont like math.
Give 5 areas that math can help you now or in the future.
Answer:Math is important
Step-by-step explanation:
It could help you get into collage and get a good job and with that you could start your life.
Answer:
1.)
I love working with numbers
I love math because of what a challenge it is
I love math because I can become a engineer
I love math because I can also become a doctor with it
I love math because it is useful
2.)
I don't like math because of the word problems
I don't like math because it sometimes gets too easy
I don't like math because I usually have to help others
I don't like math because people call me a nerd
I don't like math because it makes me explain in words
3.)
when your in the store and it helps you with knowing how much your spending
lets you know about if the discount in the store is really good or bad
helps you with becoming certain things when you grow up
it will help you with most of your jobs
Will help others if you know it, you can share your knowledge
Step-by-step explanation:
brainlist pls :>
(5.31 x 103) – (2.8 x 103)
Answer:
258.53
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Answer:
I believe it is 258.53 ,,,,
What is the value of x in the equation x*3 = 27 512 ?
PLS HELP
Frank received a $4.00 tip from a customer who had a $25.00 bill. Which decimal represents the fraction of the bill Frank received as a tip? 0.04 0.16 0.25 0.625
Answer:
0.16
Step-by-step explanation:
Which of the following is an IRRATIONAL number? (select ONE)
a
1.323232...
b
32/3
c
1.7284927172646362...
d
1.5
Answer:
Number C would be the irrational number
Write the exponential equation for the given situation. A tennis tournament starts with 128 participants. Each round, half of the participants gets eliminated from the tournament
Answer:
y= 128(1-.5)^t
Step-by-step explanation:
what is two plus two
PLZ HELP ASAP!!!!
In a recent survey, 62 students out of 100 choose corn as their favorite lunch item. If Washington has 3,800 students, how many students at
Washington would say corn is their favorite?
PLease help with this question? I also need an explanation on how you got the answer
Answer:
25%
Step-by-step explanation:
1. there are 8 triangles
2. 2 twos
3. 2/8
4. 2/8=25%
3b) Two pizzas are made to the same dimensions. The only difference is that
Pizza 1 is cut into pieces at 30° angles and Pizza 2 is cut at 45° angles. They are
sold by the slice. The slices for Pizza 1 sell for $1.45/slice and the slices for Pizza 2
sell for $1.75/slice. What is the difference in total sales between Pizza 2 and Pizza
1?
Step-by-step explanation:
$0.30 because they only sell 30 cents less/more than each other
My question is, on Sunday, 77,098 fans attended a New York Jets game. The same day, 3,397 more fans attended a New York Giants game than attended the Jets game. Altogether, how many fans attended the games? Round each number to the nearest thousand to find an estimate of how many fans attended the games.
Answer:
Total number of fan = 80,495
Step-by-step explanation:
Given:
Number of fans attended = 77,098
Additional number of fans attended = 3,397
Find:
Total number of fan
Computation:
Total number of fan = Number of fans attended + Additional number of fans attended
Total number of fan = 77,098 + 3,397
Total number of fan = 80,495
which shows graph (-3,5) and (4,-3) plotted correctly?
Answer: D
Hope it helps
Answer:
the forth one (d)
Step-by-step explanation:
is 800 cm greater than 8 cm
Answer:
100
Step-by-step explanation:
Write sec 325° in terms of the secant of'a positive acute angle.
Answer:
sec35°
Step-by-step explanation:
sec325° = sec(360 - 325)° = sec35°
The secant of a positive acute angle of sec 325° = sec 35° = 1.22077
What are Trigonometric Ratios?
Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios.The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Given data ,
The trigonometric ratio is = sec 325°
Now , to express the ratio in terms of a positive acute angle , we take the four quadrants of the graph and express the angle in the first quadrant.
And , 325° lies on the 4th Quadrant , where all cosines and secants are positive.
Therefore , sec 325° = sec ( 360° - 35° )
= sec ( 35° )
=1.22077
Hence , the secant of a positive acute angle of sec 325° = sec 35° = 1.22077
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Answers are 1.–70 2.–12 3.–74 4.–36
Answer:
3. -74
Step-by-step explanation:
[tex]12 = \frac{2 + z}{-6} \\-72 = 2+ z\\z = -74[/tex]
I NEED HELP PLEASE ILL GIVE YOU BRAINLIEST T-T
Answer:
1 true
2 false
3 true
4 false
5 true
6 true
Step-by-step explanation:
In ASTU, u = 280 inches, 2T=63° and ZU=29º. Find the length of t, to the nearest
10th of an inch.
Answer:
514.6
Step-by-step explanation:
When I graph the inequality symbol > should it be a open or closed
circle on the number line?
Answer:
It should be open.
Step-by-step explanation:
Hope this helped!
What is the image of (-5, 6) after a reflection over the line y = -2
Answer:
I'm pretty sure it would be (5,6)
Step-by-step explanation:
Reflecting a point over the Y-axis would change the x-coordinate, but not the y-coordinate
BRAINLIEST PLEASE JELP
What is the slope of a line perpendicular to the given line?
Answer:
4
Step-by-step explanation:
The perpendicular slope means opposite reciprocal
opposite: 1/4
reciprocal: 4
Answer:
The slope is undefined
Step-by-step explanation:
Rate me please
The temperature of a freezer started at 18°C. After cooling for a few hours, the freezer had a temperature of
-12°C. What is the difference between the new, colder temperature and the original temperature?
Answer:
30 C
Step-by-step explanation:
How to find difference: t1 - t2
Subsitute:
18 - (-12)
Double negative signs make a positive.
18 + 12
30
A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. Without
looking, what is the probability that Fiona pulls out a marble that is not white?
Answer:
85%
Step-by-step explanation:
The probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
What is the probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.
A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. The total number of marbles in the bowl is,
[tex]n=5+2+10+3\\n=20[/tex]
The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,
[tex]P=\dfrac{3}{20}[/tex]
The probability that Fiona pulls out a marble that is not white is,
[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]
Thus, the probability that Fiona pulls out a marble that is not white from a bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.
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What the solution for x is in 14+x=3a+ab?
Answer: a= x+14 /b+3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplifying
14 + x = 3a + ab
Solving
14 + x = 3a + ab
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + x = 3a + -14 + ab
Combine like terms: 14 + -14 = 0
0 + x = 3a + -14 + ab
x = 3a + -14 + ab
Reorder the terms:
x = -14 + 3a + ab
Simplifying
x = -14 + 3a + ab
when j= -8 and k= 7, the value of the expression is
Answer: 539
Step-by-step explanation: PLATO and Edmentum
Expression will have a value of 116 for the specified values of j and k.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression -4j + 12k
where given, j = -8
and k = 7
Substituting the values in the given expression
=> -4 * -8 + 12 *7
=> 32 + 84
=> 116
Therefore, the value of expression for the given values of j and k will be 116.
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Complete question:
when j= -8 and k= 7, the value of the expression -4j + 12k is_____.