Answer:
The investment of $40,000 is worth $94,529.80 now
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested along with the principal, rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
To calculate the final amount we use:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The investment is for t=6 1/4 years = 6.25 years with an initial balance of P=40,000 at a rate r=14% = 0.14 compounded quarterly. Since there are 4 quarters per year, then n=4.
Applying the formula:
[tex]{\displaystyle A=40,000\left(1+{\frac {0.14}{4}}\right)^{4*6.25}}[/tex]
[tex]{\displaystyle A=40,000\left(1+0.035\right)^{25}}[/tex]
A=$94,529.80
The investment of $40,000 is worth $94,529.80 now
x=8 5x3-7+x
find the quotient
Answer: yes
Step-by-step explanation:
help help HELP!!! PLEASE
If line m intersects line n to form congruent angles of a linear pair, what is the relation between line m and line n? Select the best answer from the choices provided.
A. Line m bisects line n.
B. Line n bisects line m.
C. Line m is perpendicular to line n.
D. Line n and line m are skew lines.
Answer:
I know that A is incorrect because I just took the quiz and it was wrong. I believe answer C is correct.
Step-by-step explanation:
They are not skew lines because they are intersecting. The only answer left is C.
Antwan pays $12 per hour to rent a canoe for the afternoon.
Which expression represents the total cost of renting the canoe for the afternoon?
12 ÷ h
h ÷ 12
12h
12 + h
Answer:
Its 12h
Step-by-step explanation:
It just makes since Antwan pays 12 per hour then you just need to multiply the
hours per 12 hours
For Geometry, thank you!
Answer:
Step-by-step explanation:
AB // CD and E F is transversal
∠ E FA = ∠F ED {alternate interior angles}
∠E FA = x
In Δ AG F,
∠G FA + ∠F AG +∠AG F = 180 {angle sum property of triangle}
x + 2 x + 3 x = 180 {Combine like terms}
6 x = 180 {divide both sides by 6}
x = 180/6
x = 30
what is the answer a, b, c, or d
Answer: Choice B
(-2, 5)
==================================================
Explanation:
The original system is
[tex]\begin{cases}-4x+3y = 23\\ x-y = -7\end{cases}[/tex]
Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations
[tex]\begin{cases}-4x+3y = 23\\ 3x-3y = -21\end{cases}[/tex]
Now add straight down
The x terms add to -4x+3x = -1x = -x
The y terms add to 3y+(-3y) = 0y = 0
The terms on the right hand sides add to 23+(-21) = 2
We end up with the equation -x = 2 which solves to x = -2
Now use this to find y. You can pick any equation with x,y in it
----------------
-4x+3y = 23
-4(-2)+3y = 23
8+3y = 23
3y = 23-8
3y = 15
y = 15/3
y = 5
Or
x-y = -7
-2-y = -7
-y = -7+2
y = -5
y = 5
Either way, we get the same y value.
So that's why the solution is (x,y) = (-2, 5)
Please help, I am very confused!
Answer:
C
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
The segments represent roads in a town, measured in miles.
On a coordinate plane, the store is at (negative 6, 8), the library is at (negative 6, negative 2), and Melinda's House at (6, negative 2).
Melinda leaves her house and drives to the library. She travels
miles.
Next, she leaves the library and goes to the store. She travels
miles.
When she is done at the store, she heads back to her house. If the distance from the store to her house is 15.6 miles, then she will have traveled
miles total.
Answer:
Melinda leaves her house and drives to the library. She travels
12
miles.
Next, she leaves the library and goes to the store. She travels
10
miles.
When she is done at the store, she heads back to her house. If the distance from the store to her house is 15.6 miles, then she will have traveled
37.6
miles total
Step-by-step explanation:
THIS IS RIGHT
On a coordinate plane, the store is at (negative 6, 8), the
When she is done at the store, she heads back to her house. If the distance from the store to her house is 15.6 miles, then she will have traveled
37.6
miles total.
trust me i got it right copy link to my work
15 points to Answer this!! Really need help this Important!!
Answer:
where is your 15 points
Step-by-step explanation:
this answer is 8points
ase logo ko pagal mat banaya karo
I am thinking of a number. Its square root
is an integer. Its cube root is an integer.
Answer:
You may be thinking about 64
Step-by-step explanation:
64 = 8*8 = (2*2*2) * (2*2*2)
64 = 4*4*4 = (2*2) * (2*2) * (2*2)
A food store makes a 10-pound mixture of peanuts, cashews, and raisins. The mixture has twice as many peanuts as cashews. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16. How much of each ingredient did the store use to make the mixture?
I know the equations are likely
X = Peanuts
Y = Cashews
Z = Raisins
X + 2Y + 2Z = 16
2Y = X
X + Y + Z = 10
Answer:
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
Step-by-step explanation:
The number pounds of the mixture = 10
Let the number of pounds peanuts = x
Let the number of pounds cashews = y
Let the number of pounds raisins be equal to z
Hence,
x + y + z = 10
The mixture has twice as many peanuts as cashews.
2y= x
= 2y + y + z = 10
= 3y + z = 10
z = 10 - 3y
Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.
x × $1 + y × $2 × z × $2 = $16
x + 2y + 2z = 16......Equation 2
We Substitute.(2y = x), (z = 10 - 3y)
2y + 2y + 2(10 - 3y) = 16
4y + 20 - 6y = 16
20 - 16 = 6y - 4y
4 = 2y
y = 4/2
y = 2 pounds
z = 10 - 3y
z = 10 - 3(2)
z = 10 - 6
z = 4 pounds
2y= x
2(2) = x
x = 4 pounds
How much of each ingredient did the store use to make the mixture?
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
is this a function or not a function i need help immediately!!
Answer:
its a function
Step-by-step explanation:
hope this helps.
Yes, it is a function
hey what does 5+555+100xx2x2x2x3x4
Answer:
63,360
Step-by-step explanation:
Add and multiply
If you were asked to find the total number of tiles covering a circular floor, would you look to find the area or circumference?
Answer:
The area.
Step-by-step explanation:
The circumference would only cover an outline of the floor. Hope this helps!
What side in the second trapezoid corresponds to CD?
ABCD≅RSTU
Answer:
TU
Step-by-step explanation:
What is
3 times 6 tenths =
Answer:
1.8
Step-by-step explanation:
The dot plots below show rainfall totals in the Highlands and Lowlands areas of a certain region.
When comparing the two sets of data, which is a true statement?
A. There are gaps in both sets of data.
B. The ranges are the same.
C. The two sets of data do not overlap.
D. The rainfall peaks at a lower value in the Lowlands.
Answer:
c
Step-by-step explanation:
took the test
Answer:
C
Step-by-step explanation:
i am just that good
Do these 3 side lengths form a right triangle? (Yes or no question): 10 cm, 49.5 cm, 50.5 cm
Answer:
yes
Step-by-step explanation:
By the converse of Pythagoras' identity.
If the longest side squared is equal to the sum of the squares of the other 2 sides, then the triangle is right.
longest side = 50.5
50.5² = 2550.25
10² + 49.5² = 100 + 2450.25 = 2550.25
Thus the given triangle is right.
Answer:
yes and no
Step-by-step explanation:
It is because there and different types of triangles and you were not specific with you questionI need a squared number thats NOT even
Answer:
As all even square numbers are divisible by 4, the even numbers of the form 4n + 2 are not square numbers. As all odd square numbers are of the form 4n + 1, the odd numbers of the form 4n + 3 are not square numbers.
Answer:
9
Step-by-step explanation:
9 is a square number, since it can be written as 3 × 3.
A professional basketball player typically attempts 8 free throws per game. Let X represent the number of free throws made out of 8. The distribution for X is shown in the table.
A 2-column table with 9 rows. Column 1 is labeled number of free throws made with entries 0, 1, 2, 3, 4, 5, 6, 7, 8. Column 2 is labeled Probability with entries 0.002, 0.008, 0.04, 0.12, 0.23, 0.28, 0.21, 0.09, 0.02.
What is the standard deviation of the distribution?
1.18
1.40
1.96
2.58
Answer:
its b
Step-by-step explanation:
just took the quiz
Answer:
standard deviation of the distribution is 1.40
Step-by-step explanation:
What If? If the teacher always launches the ball with the speed found in part (a), what is the minimum angle (in degrees above the horizontal) at which he can launch the ball and still clear the playground railing? (Hint: You may need to use the trigonometric identity sec2(θ) = 1 + tan2(θ).)
9514 1404 393
Answer:
43.303°
Step-by-step explanation:
Problem geometry varies. For this question, we will assume ...
The ball is launched at a 53° angle, 24 m from a buildingThe ball takes 2.20 seconds to reach the buildingThe railing is 6.4 m highThe equation of motion in this case is ...
h(x, α) = x(tan(α) -4.9x/(v·cos(α))²)
where h(x) = height at distance x, α is the launch angle, vₓ is the horizontal speed of the ball.
__
The ball was launched at an angle of 53° in part (a) at a speed that gives it a horizontal speed of (24 m)/(2.2 s). That is, the speed in the direction of launch is ...
(24 m)/(2.2 s)/cos(53°) ≈ 18.126983 m/s . . . . speed in part (a)
__
For the question at hand, we need to find α such that ...
h(24) = 6.4
Substituting into the above equation gives ...
6.4 = 24(tan(α) -24(4.9/18.126983^2·sec(α)^2)
6.4 = 24(tan(α) -0.35789551(tan(α)^2 +1)) . . . . replacing sec(α) using hint
If we let z represent tan(α), this can be written in standard form as ...
8.5894922·z^2 -24z +14.989492 = 0
Then the minimum solution (by the quadratic formula) is ...
z = (24 -√(24^2 -4(8.5894922)(14.989492)))/(2·8.5894922)
z = 0.94244774
And the angle is ...
α = arctan(z) = arctan(0.94244774) ≈ 43.303°
The teacher must launch the ball at an angle of at least 43.3° to clear the railing.
Which statement is true about the prime polynomial 2x2 + 3x + 3?
O It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
O It can only be modeled with an odd number of tiles.
Answer:
A. It cannot be modeled with a rectangle.
Step-by-step explanation:
got it right on edge
The statement i.e. true related to the prime polynomial is the first option.
What is a prime polynomial?
A polynomial that contains the integer coefficients but the same should not be factored into the lower degree polynomials.
So here it cannot be modeled with the square, it can be modeled with the positive titles, also it cannot be modeled with the odd titles. But it cannot be modeled with a rectangle.
hence, the first option is correct.
learn more about polynomial here: https://brainly.com/question/24448736
After the stock market crash, the government created the ______to regulate businesses.
A. Stock Market Oversight Board B. Internal Revenue Service C. Business Administration Commission D. Securities and Exchange Commission
Answer:
D the sec
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Hope this helps!! Good luck!!!
10 POINTS!! HELP ASAP!! What is the length of AC?
Answer:
D
Step-by-step explanation:
Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is
[tex]\frac{CE}{CA}[/tex] = [tex]\frac{ED}{AB}[/tex] , substitute values
[tex]\frac{x}{156-x}[/tex] = [tex]\frac{7}{84}[/tex] = [tex]\frac{1}{12}[/tex] ( cross- multiply )
12x = 156 - x ( add x to both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Thus
AC = 156 - x = 156 - 12 = 144 → D
Answer:
D. 144
Step-by-step explanation:
Triangle BAC is similar to triangle DEC, so you can set up a ratio:
[tex]\frac{84}{156-x} = \frac{7}{x}[/tex]
Then cross multiply
84x = 7 (156 - x)
84x = 1092 - 7x
Add 7x to both sides.
91x = 1092
Divide both sides by 91.
x = 12
AC = 156 - x
AC = 156 - 12
AC = 144
Given g(x) = 5x + 2, solve for x when g(x) = 7
Answer:
37
Step-by-step explanation:
oh wait i was wrong look at the person above me plzzzz
What is the value of
Answer:
16
Step-by-step explanation:
You can think of -1/2 as -0.5, it sometimes helps
Two negatives multiplied equal a positive, eliminating choices A and B
When -0.5 is multiplied to the -4 power, it comes out to be 16
Hope this helps! Good luck :)
write down all the the prime numbers from the list
Answer:
All Prime Numbers Up To 10000Step-by-step explanation:
Hope this helps! <3
( Pic Below )
HELP! will mark branniest answer!
Answer:
X=-7
Step-by-step explanation:
X+37+x+67=90
2x+104=90
2x=-14
X=-7
What property justifies 4x=7
Answer:
x=1.5
Step-by-step explanation:
Answer:
exact form x=7/4
decimal form x=1.75
mixed number form x=1 3/4
Step-by-step explanation:
can someone help me
Answer:
s = 11
Step-by-step explanation:
Given
[tex]\frac{3}{8}[/tex] = [tex]\frac{s-2}{24}[/tex] ( cross- multiply )
8(s - 2) = 72 ( divide both sides by 8 )
s - 2 = 9 ( add 2 to both sides )
s = 11