An initial investment of $2,000 earns 7% interest compounded continuously. What will the investment be worth in 17 years? (Round your answer to the nearest cent.)
Answer:
Future value, A = $6,317.6
Step-by-step explanation:
Given the following data;
Principal = $2,000
Interest rate = 7%
Time = 17 years
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]
[tex] A = 2000*(1 + 0.07)^{17}[/tex]
[tex] A = 2000*(1.07)^{17}[/tex]
[tex] A = 2000 * 3.1588 [/tex]
Future value, A = $6,317.6
I need help please asap......................
Answer:
hi
Step-by-step explanation:
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Answer:
the answer is 7 feet
Step-by-step explanation:
28/4=7
How can I Write X^2 + 18 + 81 In factored form?
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Let's simplify step-by-step.
x ^ 2 + 18 + 81 <3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Combine Like Terms:
= x ^ 2 + 18 + 81
= ( x ^ 2 ) + ( 18 + 81 )
= x ^ 2 + 99
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
= x ^ 2 + 99
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
State of the given functions are inverses
Answer:
1) They are not inverses
2) They are inverses
Step-by-step explanation:
We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.
1)
Let's find f[g(x)] and simplify.
[tex]f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}[/tex]
[tex]f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}[/tex]
[tex]f[g(x)]=\frac{7}{2}-\frac{3}{4}x[/tex]
As f[g(x)] is not equal to x, these functions are not inverses.
2)
Let's find f[g(x)] and simplify.
[tex]f[g(n)]=\frac{-16+(4n+16)}{4}[/tex]
[tex]f[g(n)]=\frac{-16+4n+16}{4}[/tex]
[tex]f[g(n)]=\frac{4n}{4}[/tex]
[tex]f[g(n)]=n[/tex]
Now, we need to find the other composition function g[f(x)]
Let's find g[f(x)] and simplify.
[tex]g[f(x)]=4(\frac{-16+n}{4})+16[/tex]
[tex]g[f(x)]=-16+n+16[/tex]
[tex]g[f(x)]=n[/tex]
Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.
I hope it helps you!
Consider the given figure, which shows groups of dots arranged in increasingly larger hexagons. If the pattern continues, the next group of dots would have 61 dots. Which of
the following statements best describes the sequence that represents the number
of dots in each group?
A The sequence is arithmetic, because the first differences are constant.
B) The sequence is arithmetic, because the second differences are constant.
c) The sequence is quadratic, because the first differences are constant.
The sequence is quadratic, because the second differences are constant.
Answer:
a
hddhdhdhhdgdhdgdhf
yyeyeyehrggggdgfhfhhfbfbdbfbdfbbfhhbfbdvwshhdgnhh
The sequence is arithmetic because the second differences are constant. Then the correct option is B.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
Consider the given figure, which shows groups of dots arranged in increasingly larger hexagons.
If the pattern continues, the next group of dots would have 61 dots.
The first difference will be
The difference between 7 and 1 is 6.
The difference between 19 and 7 is 12.
The difference between 37 and 19 is 18.
The difference between 61 and 37 is 24.
The second difference will be
The difference between 12 and 6 is 6.
The difference between 18 and 12 is 6.
The difference between 24 and 18 is 6.
Thus, the sequence is arithmetic, because the second differences are constant. Then the correct option is B.
More about the sequence link is given below.
https://brainly.com/question/21961097
Find the value of x. Round to the
nearest tenth.
х
33
6
Answer:
cos(33) = 6/X
cos(33)*6= X
X= 5.03202340767254
rounded to the nearest tenth it is 5
therefore X= 5
The value of x in the given digram using trigonometry to the nearest tenth is 7.15.
What is the value of x ?The given image is a right triangle. A right triangle is a triangle that has three sides with one of the angles measuring 90 degrees.
Given an angle and the length of the adjacent side, we are to determine the value of the hypotenuse using cos.
Cos = adjacent / hypotenuse
cos 33 = 6 /h
h = 6 / cos 33
h = 6 / 0.83867
h = 7.15
To learn more about right angled triangle, please check: https://brainly.com/question/20694080
1. Find the value of x in the figure below.
74°
2x
Answer:
2x-7
Step-by-step explanation:
Evaluate the expression \dfrac{4^x}{2^x}
2
x
4
x
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
Answer:
4
Step-by-step explanation:
(2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 4ˣ/2ˣ.
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
In the given expression x is the variable and division is the operator.
Which means Four to the power of x and divided by two to the power of x.
4ˣ/2ˣ.
The numerator 4ˣ can be written as (2)²ˣ
(2)²ˣ/2ˣ
Hence, (2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
PLEASE HELP QUICK I NEED IT TO PASS
Answer:
Its 81
Step-by-step explanation:
Guys help I’m failing math this assignment is 100 points it will boost my grade
Answer:
1. -6.5
2. 8.5
3. -2 7/10
Step-by-step explanation:
If you any more questions comment
could you give me Brₐinliest
Answer:
im not sure
Step-by-step explanation:
lol i just want points
Pls help solve these three
Answer:
1. True
2. False
3. False
Step-by-step explanation:
It’s,yes(true),and,no(false),no(false)
PLEASE HELP ASAP GEOMETRY I AM LITERALLY DYING!! 100 POINTS REAL ANSWERS ONLY OR YOU WILL BE REPORTED AND GET NO POINTS!
Let’s design a new ferris wheel!! Create a sketch of a new Ferris wheel. This new ferris wheel must have an arc length measuring 3 25π feet. What is the equation of your new ferris wheel if the center must be at least 60 feet from the ground? Be sure to show and explain all work.
9514 1404 393
Answer:
x^2 +(y -61)^2 = 625/36
Step-by-step explanation:
The graph of the above equation is attached.
If the circumference of the wheel is 25π/3 feet, the diameter is ...
d = C/π = (25/3π)/π = 25/3 . . . feet, about 8.33 feet
The radius will be half that value, or 25/6 feet.
For a center point (h, k) and radius r, the equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2
You want the center to be more than 60 feet from the ground, so we can make it be 61 feet. The horizontal location is not specified, so we can make it zero.
This means we apparently want the equation for a circle of radius 25/6 feet with a center that is (x, y) = (0, 61). The equation of this circle is ...
x^2 +(y -61)^2 = 625/36
What is the median for this list of numbers? 3, 6, 9, 10, 12
Answer:
9
Step-by-step explanation:
Michael bought three baseballs from a sports store. Each baseball cost the same amount. The total cost was $8.37. If C represents the cost of each baseball, which of the following statements are true?
Select all that apply
The value of c can be found using the formula 30+837
The value of c can be found using the formula C/8.37 = 3
Each baseball cost $25.11
Each boseball cost $279
Answer:Each baseball cost $2.79.Each baseball cost $25.11.The value of c can be found using the formula .The value of c can be foun
Step-by-step explanation:
HELP ME ASAP!!!! I’m very confused and I need help!! Thanks!
Answer:
Reason 2)The transitive property of congruenceStep-by-step explanation:
There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.
A = A . . . . reflexive property
A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)
A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)
__
Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.
The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.
4. A recipe says that 2 3/5 cups of flour are needed to make 1 batch of biscuits. How many cups of flour are needed to make 2 batches of biscuits? O 43/5 O 51/5 O 26/10 O 6
PLEASE HELP QUICK I NEED IT TO PASS
Anyone know how to answer this question
9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
PLS HELP
Rusty has a cap collection. He has 5 shelves with 7 football team caps on each shelf. He has 3 shelves with 13 baseball caps on each shelf. He gives his best friend 5 football caps and 2 baseball caps.
How many caps, c, does Rusty have now?
Rusty has a total of ___ caps.
Answer:
19
Step-by-step explanation:
Which statement is true help
Answer:
The correct one is 6 is 3 times as many as two.
Step-by-step explanation:
Which statement best explains whether △ABC is similar to △DEF?
A) The triangles are not similar because 613≠820.
B) The triangles are similar because 613=820.
C) The triangles are similar because 820=1025.
D) There is not enough information to determine whether the triangles are similar.
A). They are not similar, because 6/13 is not equal to 8/20
For triangles to be similar, the ratios of sides need to be the same (shortest to shortest, middle to middle, longest to longest). The shortest sides are 6 and 13, respectively, the middle ones are 8 and 20. Because 6/13 is not equal to 8/20, the triangles are not similar.
The statement best explains whether △ABC is similar to △DEF is (A) The triangles are not similar because 613≠820.
What are similar triangles?Similar triangles are triangles that have similar corresponding side lengths
The corresponding sides of the triangles are:
Triangle A Triangle B
6 13
8 20
10 25
Calculate the ratios
Ratio = 6/13
Ratio = 8/20
The ratios are not equal.
Hence, the triangles are not similar
Read more about similar triangles at:
https://brainly.com/question/14285697
triangle: solve for x
Answer:
6 root two
Step-by-step explanation:
geometric mean for leg t.
24*3=x2
x2=72
x=root(72)
6 root two
if my answer helps please mark as brainliest.
Helpppppppp math pls I need help asap
Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept
x y
0 4
2 9
4 14
6 19
8 24
Answer:
See explanations below
Step-by-step explanation:
Using the coordinate points in the table (0, 4) and (2, 9)
Slope m = y2-y1/x2-x1
m = 9-4/2-0
m = 5/2
slope = 5/2
Get the y-intercept
Substitute m = 5/2 and (0,4) into y = mx+c
4 = 5/2(0) + c
4 = 0+c
c = 4
y-intercept is 4
Get the equation
Recall that y = mx+c
y = 5/2x + 4
Using another 2 points (2,9) and (4, 14)
Slope = 14-9/4-2
Slope = 5/2
Since the slope is the same for the coordinates, hence the the equation is correct
Given that these triangles are similar, what is the perimeter of triangle PQR? Show your work.
If someone could answer fr this time that would be great.
Answer:
24
Step-by-step explanation:
I use the Pythagoras theorem.
[tex]\sqrt{a^{2} +b^{2} } =c^{2}[/tex]
[tex]4^{2}{x}6^{2} = c^{2}[/tex]
16 x 36= 576
[tex]\sqrt{576} = 24[/tex]
Answer 5750$
Given below are lease terms at the local dealership. What is the total cash
due at signing?
.
.
Terms:
Length of lease = 24 months
MSRP of the car = $36,600
Purchase value of the car after lease = $30,200
Down payment = $4800
Monthly payment = $525
$445 security deposit
$505 acquisition fee
A. $6275
B. $5750
C. $5770
D. $5830
Answer:
$6275
Step-by-step explanation:
The cash due at signing should include :
The down-payment ; The monthly payment for that particular month ; Acquisition fee and Security deposit.
Down payment = $4800
Monthly payment = $525
Security deposit = $445
Acquisition fee = $505
Total :
$(4800 + 525 + 445 + 505)
= $6275
Answer:
6750
Step-by-step breast inspection:
Complete the sentence.
9 is 36% of
Answer:
35
Step-by-step explanation:
[tex]\frac{9}{y} =\frac{36}{100}[/tex]
y × 36 = 9 × 100
36y = 900
36y ÷ 36 = 900 ÷ 36
y = 35
Answer:
25
Step-by-step explanation:
36% 9
-------------- (36% over 100% and 9 over x)
100% x
Cross multiply: 36% times x and 100% times 9
36% times x=36x
100% times 9=900
Divide: 900 divided by 36=25
25 is your answer
Hope this helped!
Bella was here :)
I need help with slopes!!
Answer:
The slope of this line is -4
PLEASE HELP ASAP!!! WILL MAKE YOU THE BRAINLYIST!!!!
Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?
