Answer:
The correct answer 8486.
Step-by-step explanation:
Given:
Troy - P pr principle amount = 10000
rate = 9%
time = 60-22 = 38
intrest at every three months so time = t = 38*4 = 132
Nicohlas
P = x
rate = 10%
time = 60 -45 = 15
every month compounded = 15*12=180
solution:
the formula of compound intrest = P (1 + r/n)^(nt)
where n = number of counded intrests per year
puting formula for troy=
10000 (1+9/4)^132
= 294,322.96 .....1
now for nicolas
I = x(1+10/12)^180
x = 294,322.96/(1+10/12)^180
= 8486.
A photo printer is on sale for $195.50. The regular price is $230. What is the percent of the discount on the photo
printer?
Si un proyectil asciende verticalmente, y después de 3 segundos alcanza su altura máxima, calcule la velocidad que lleva a la mitad de su trayectoria descendente
Answer:
The speed is 20.8 m/s
Step-by-step explanation:
If a projectile ascends vertically, and after 3 seconds it reaches its maximum height, calculate the velocity that it carries to the middle of its downward trajectory
Let the maximum height is h and initial velocity is u.
From first equation of motion
v = u + at
0 = u - g x 3
u = 3 g.....(1)
Use third equation of motion
[tex]v^2 = u^2 - 2 gh \\\\0 = 9 g^2 - 2 gh \\\\h = 4.5 g[/tex]
Let the speed at half the height is v'.
[tex]v^2 = u^2 + 2 gh \\\\v'^2 = 0 + 2 g\times 2.25 g\\\\v'^2 = 4.5\times 9.8\times9.8\\\\v' = 20.8 m/s[/tex]
I’m stuck on this one help anyone?
Answer:
just add a small amount to the 2.8 and square the result
Step-by-step explanation:
x x^2
2.8 7.84
2.81 7.8961
2.82 7.9524
2.83 8.0089
2.84 8.0656
2.85 8.1225
2.86 8.1796
2.87 8.2369
George has opened a new store and he is monitoring its success closely. He has found that this store’s revenue each month can be modeled by r(x)=x2+6x+10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x)=x2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (r−c)(4) mean about George's new store?
Answer:
(r - c)(4), is the profit made in George's new store after 4 months which is $4,500
Step-by-step explanation:
The given parameters for George's store are;
The amount of revenue George makes each month, r(x) = x² + 6·x + 10
The expenses each month, c(x) = x² - 4·x + 5
Where;
x = The number of months the store has opened the doors
r(x) and c(x) are measured in hundreds of dollars
The amount of profit from the store, P = Revenue - Expenses
Therefore, the profit made on a given month, x, is P(x), which is found as follows;
P(x) = r(x) - c(x) = (r - c)(x)
Therefore, (r - c)(4) = P(4), is the profit realized from George's new store, after 4 months
(r - c)(4) = 4² + 6·4 + 10 - (4² - 4·4 + 5) = 45
Answer:
The new store will have a profit of $4500 after its fourth month in business.
Step-by-step explanation:
I took the quiz
Choose the correct description of the graph of the inequality X - 3 greater than or equal to 25
A. Open circle on 8, shading to the left
B. Closed circle on 8, shading to the left.
C. Open circle on 8, shading to the right.
D. Closed circle on 8, shading to the right.
I’m pretty sure it’s D
Answer:
D. Closed circle on 8, shading to the right.
WILL GIVE BRAINLIEST, HELP QUICK!!
Answer:
the answer is 5 units
Step-by-step explanation:
You can look at the location of B and C and see that the line goes from 2 to -2 which is 5 units apart. -2, -1, 0, 1, 2
Let j=+5 - 5+ |-5 x 1/5
What is the value of+J?
Answer:
j=|x|
Step-by-step explanation:
Jessica ate 7 /10 of her orange before lunch and 1/10 of her orange after lunch. How much of her orange did she eat?
Answer:
8/10
Step-by-step explanation:
Determining if a Relationship Is a Function
Which represents a function?
Answer:
only the first one...
a "FUNCTION" has a UNIQUE relation between each input and output...
notice the middle one the -2 goes to BOTH th2 10 & -7 that makes it NOT a FUNCTION
Step-by-step explanation:
Given: -1/2 x > 6.
Choose the solution set.
A. {x | x R, x > -12}
B. {x | x R, x > -3}
C. {x | x R, x < -3}
D. {x | x R, x < -12}
Given: -1/2 x > 6
Solving It:--1/2 x > 6
x > -6×2
x > -12
So The Correct Solution Set Will Be
A. {x | x R, x > -12}Hope This Helps YouFind the area to the left of z = 0.25.
A. 0.6012 B. 0.5987 C. 0.4013 D.0.3988
Answer:
.5987
Step-by-step explanation:
Use a ztable and find .25 (pic below)
15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.
Answer:
D
Step-by-step explanation:
[tex]f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1[/tex]
Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.
The equation 2b + 6 = 70 represents the given scenario. What does b represent?
Answer:
seats in each bus
Step-by-step explanation:
total no.of seats = 64
so, the no.of seats in each bus = 64/2 =32
therefore , b denotes the no.of seats in each bus
PLEASE MARK ME AS BRAINLIEST .
Please help me Find PA.
I will give brainliest if correct!!! Please show work so I know how to do it. :)
12. Let logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271. Using these values, evaluate logb(5/3).
A. 0.1518
B. 1.4649
C. 1.2138
D. 0.2625
E. 0.5341
F. 2.6252
Answer:
.2625
Step-by-step explanation:
logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271
logb(5/3)
We know that logx ( y/z) = logx (y) - logz (z)
logb ( 5) - logb(3)
0.8271 - 0.5646
.2625
Answer:
F. 2.6252
Step-by-step explanation:
0.8271 - 0.5646
Find the discernment and the numbers of the number of real roots for this equation.
x^2+3x+8=0
Answer: 2 distinct complex solutions (ie non real solutions).
Work Shown:
The given equation is in the form ax^2+bx+c = 0, so
a = 1, b = 3, c = 8
Plug those into the formula below to find the discriminant
D = b^2 - 4ac
D = 3^2 - 4(1)(8)
D = -23
The discriminant is negative, so we get two nonreal solutions. The two solutions are complex numbers in the form a+bi, where a & b are real numbers and [tex]i = \sqrt{-1}[/tex]. The two solutions are different from one another.
Answer:
Discriminant: -23
Number of real roots: 0
Step-by-step explanation:
For a quadratic in standard form [tex]ax^2+bx+c[/tex], the discriminant is given by [tex]b^2-4ac[/tex].
In [tex]x^2+3x+8[/tex], assign:
[tex]a\implies 1[/tex] [tex]b\implies 3[/tex] [tex]c\implies 8[/tex]The discriminant is therefore:
[tex]3^2-4(1)(8)=9-32=\boxed{-23}[/tex]
For any quadratic:
If the discriminant is greater than 0, the quadratic has two real rootsIf the discriminant is equal to 0, the quadratic has one real rootIf the discriminant is less than 0, the quadratic as no real rootsSince the quadratic in the question has a discriminant less than 0, there are no real solutions to this quadratic.
Select the correct answer.
Function h is a transformation of the parent exponential function, f(x) = 2^x.
.h(x)=-3.2^x
-
Which statement is true?
Solve EFD. Round the answers to the nearest hundredth.
A. m F ≈ 26, m D ≈ 64.01, FD = 7,921
B. m F ≈ 26, m D ≈ 64.01, FD = 89
C. m F ≈ 64.01, m D ≈ 26, FD = 89
D. m F ≈ 64.01, m D ≈ 26, FD = 7,921
Answer:
Option B
<F = 26°
<D = 64.01°
FD = 89
Answered by GAUTHMATH
For right triangle EFD, m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89
The correct answer is an option (B)
What is hypotenuse?It is the longest side of the right triangle.
What is Pythagoras theorem?For a right triangle,
[tex]a^{2}+ b^{2} = c^{2}[/tex], where c is hypotenuse and a, b area other two sides of the right triangle
For given example,
We have been given a right triangle EFD with hypotenuse FD.
Also, EF = 80, ED = 39
Using the Pythagoras theorem,
[tex]\Rightarrow FD^{2}= EF^{2} + ED^{2}\\\\ \Rightarrow FD^{2}= 80^{2} + 39^{2}\\\\ \Rightarrow FD^2 = 6400 + 1521\\\\ \Rightarrow FD^2 = 7921\\\\\Rightarrow FD = 89[/tex]
Consider, sin(F)
[tex]\Rightarrow sin(F)=\frac{ED}{FD} \\\\\Rightarrow sin(F)=\frac{39}{89}\\\\ \Rightarrow sin(F)=0.4382\\\\\Rightarrow \angle F=sin^{-1}(0.4382)\\\\\Rightarrow \angle F=25.98^{\circ}\\\\\Rightarrow \angle F\approx 26^{\circ}[/tex]
Now, consider sin(D)
[tex]\Rightarrow sin(D)=\frac{FE}{FD}\\\\ \Rightarrow sin(D)=\frac{80}{89}\\\\ \Rightarrow \angle D = sin^{-1}(0.8988)\\\\\Rightarrow \angle D = 64.009^{\circ}\\\\\Rightarrow \angle D \approx 64.01^{\circ}[/tex]
Therefore, for right triangle EFD, m ∠F ≈ 26°, m ∠D ≈ 64.01° and FD = 89
The correct answer is an option (B)
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
What is the common difference of the arithmetic sequence-20,-16,-12,-18
Answer:
common difference = 4
Step-by-step explanation:
common difference is the difference between the successive term and its preceding term.
let's take the successive term of -20 that is - 16
common difference (d) = successive term - preceeding term
= -16 -(-20)
= -16 + 20
= 4
if we take the successive term of -16 that is -12
we'll get the same common difference.
d = -12 -(-16)
d = -12 + 16
d = 4
this means that the common difference for an AP remains constant.
Help Please Now!!!
Find the volume Of The Rectangle Prism
Answer:
180m cubed
Step-by-step explanation:
Multiply the length, width, and height together: 6×6×5=180
Answer:
Formula of a rectangular prism:
L x W x H
Now we place in the numbers and solve:
5 x 6 x 6 = 180 m3
An amusement park charges and admission fee of 30 dollars for each person. Let C be the cost (in dollars) of admission for P people. Write an equation relating C to P.
Answer:
14
Step-by-step explanation: B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14
Which graph shows the solution set of
plsssssssssss helppppppppp i want it right now pls
Answer:
hope this helps you
have a great day
9 is subtracted from 5 times 3 and 10 is added
Please hurry I will mark you brainliest
What is the equation in standard form for the line with slope 3 and y-intercept -4?
Answer: -3x+y=-4
Step-by-step explanation:
Standard form is Ax+By=C. In y=Mx+b form, it would be y=3x-4. To put it into standard form you subtract 3x from both sides. So then you have -3x+y=-4.
In a company of 35 employees, four-sevenths work in sales. How many of the employees work in sales ?
Answer:
20
Step-by-step explanation:
Multiply 4/7 with 35, this will get you 140/7, which simplifies to 20 employees
help me out (geometry)
Answer:
⊥
Step-by-step explanation:
d and b meet at a 90 degree angle ( as shown by the box)
The lines are perpendicular (⊥)
help please like PLEASE ASAP
Answer:
1/5^5
Step-by-step explanation:
Flip the equation into a fraction.
:>
How much money invested at 3% compounded monthly for 3 years will yield $520?
$179.42
$475.30
$358.84
$148.78
Answer:
Step-by-step explanation:
Use this formula:
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount after the compounding is done, P is the initial investment (our unknown), r is the interest rate in decimal form, n is the number of compoundings per year, and t is the time in years. Filling in:
[tex]520=P(1+\frac{.03}{12})^{(12)(3)}[/tex] and simplifying that a bit:
[tex]520=P(1+.0025)^{36[/tex] and a bit more:
[tex]520=P(1.0025)^{36[/tex] and even bit more:
520 = P(1.094551401) and divide to get
P = $475.30
The ratio of grapes in a fruit salad to people it will serve is 13/3. How many people will be served if Deb is using 30 grapes?
Answer:
6 + 12/13, or 90/13 people will be served
Step-by-step explanation:
Ratios stay the same, no matter the quantity.
Given this, we can say that (13 grapes / 3 people) = (30 grapes / x amount of people)
13/3 = 30 / x
multiply both sides by 3 to remove a denominator
13 = 30 * 3 /x
multiply both sides by x to remove the other denonimator
13 * x = 30 * 3
13 * x = 90
divide both sides by 13 to isolate the x
x = 90/13 = 6 + 12/13 ≈6.92 people