Answer:
La respuesta al ejercicio es:
$4,000.00 al 5% anual.$5,000.00 al 4% anual.Step-by-step explanation:
Teniendo en cuenta que el capital inicial es de $9,000.00 y el capital tras un año es de $9,400.00, se identifica en primera instancia que la ganancia gracias al interés anual fue de $400, por lo cual se pueden tener en cuenta las siguientes variables:
x = monto de dinero al 5% anual.y = monto de dinero al 4% anual.Y el siguiente sistema de ecuaciones:
x + y = 9000x * 5% + y * 4% = 400En la segunda ecuación, cambiaremos los porcentajes para facilitar los cálculos posteriores:
2. x * 0.05 + y * 0.04 = 400
Lo cual también se puede representar como:
2. 0.05x + 0.04y = 400
Procedemos a despejar una variable, en este caso despejaré la variable y de la primera ecuación:
x + y = 9000y = 9000 - xY la reemplazaré en la segunda ecuación:
0.05x + 0.04y = 4000.05x + 0.04 (9000 - x) = 400Ahora operamos:
0.05x + 360 - 0.04x = 400Restamos las variables x:
0.01x + 360 = 400Y despejamos el valor real de x:
0.01x = 400 - 360x = 40 / 0.01x = 4000Ya que x es el monto de dinero puesto al 5% anual, ahora sabemos que dicho monto fue $4,000.00, por último, reemplazamos este valor en la primera ecuación para identificar el valor de y:
x + y = 90004000 + y = 9000y = 9000 - 4000y = 5000Por último, sabemos que el monto de dinero puesto al 4% fue $5,000.00.
Due in 5 mins help please!
K
9.6
16
M
L
Answer:
Step-by-step explanation:
Annie earns $15 per hour babysitting. How many hours will it take her to earn $60?
Answer:
4 hours
Step-by-step explanation:
15 x 4 = 60
$60
Answer:
4 hours.
Step-by-step explanation:
We are looking for the amount of money Annie will need to earn 60.
Let the equation be 15+x=60.
The equation could be represented as 15+x=60, or 60-15=x.
The easier solution would be to subtract.
When we subtract 60-15 we get 45, therefore the value of x is 45 making the statements true.
15+45=60 and 60-15=45 as well.
We know she earns 15 an hour, so we have to see how many 15 we can add up to get to 60.
15+15+15+15=60, therefore she will need to work 4 hours.
6 gallons 3 pints = pints
Answer:
51
Step-by-step explanation:
Each gallon is equal to 8 pints. That means that you can just multiply 8 by 6, which gives you 48, then add 3.
Hope that this helps!
Answer:
51
Step-by-step explanation:
Mackenzie invested $5,200 in an account paying an interest rate of 4\tfrac{1}{8}4 8 1 % compounded monthly. Justin invested $5,200 in an account paying an interest rate of 4\tfrac{3}{4}4 4 3 % compounded continuously. After 20 years, how much more money would Justin have in his account than Mackenzie, to the nearest do.llar?
Answer:
1597
Step-by-step explanation:
The line y=3x creates an acute angle theta when it crosses the x-axis, Find the exact value of sec theta
Answer:
Sec(θ) = 3
Step-by-step explanation:
First, we know that:
Sec(x) = 1/Cos(x)
Now we have an angle θ in the intersection between the line y = 3x and the x-axis.
Here we can think of this as a triangle rectangle, such that:
x is the adjacent cathetus to θ
y is the opposite cathetus to θ
y = 3*x is the hypotenuse.
Here we also need to remember the relation:
Cos(θ) = (adjacent cathetus)/(hypotenuse)
Then we will get:
Cos(θ) = x/(3*x) = 1/3
If we multiply both sides by 3, we get:
Cos(θ)*3 = (1/3)*3 = 1
Cos(θ)*3 = 1
Now we can divide both sides by Cos(θ)
[Cos(θ)*3]/Cos(θ) = 1/Cos(θ)
3 = 1/Cos(θ)
And 1/Cos(θ) = Sec(θ)
Then:
3 = Sec(θ)
The exact value of sec theta is 3.
find the values of the variables
i will give brainliest to anyone who’s right.
hii please help i’ll give brainliest!!
Answer:
the answer is c
Step-by-step explanation:
plato users
Can you please help me if you can?
What is 75,06975,069 divide by 4545
Answer:
1651699.685
Step-by-step explanation:
calculator
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
In a lottery, the top cash prize was $615 million, going to three lucky winners. Players pick four different numbers from 1 to 59 and one number from 1 to 49 . A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 59 ) and matching the number on the gold ball (1 through 49 ). What is the probability of winning the minimum award?
Answer:
10063571 out of 593750689 or 1.69491525424%
Step-by-step explanation:
To find probability when all variables are known, you can just multiply the numbers you need. In this case we multiply 59 * 59 * 59 *49 since these are the balls we are picking from. We can find the chance of the top prize by multiplying all the numbers. 59 * 59 * 59 * 59 * 49
Someone answer this please
Answer:
-23/6=y
Step-by-step explanation:
3x-6y=11
3*-4-6y=11
-12-6y=11
y=-23/6
Help pls no links or I’ll report
Answer:
A) 6x - 3 + 8x
B) 14x - 3
E) 2 (3x - 2) + 8x + 1
Option 1, 2, and 5 are the correct answers.
An envelope has a perimeter of 30 inches. Its area is 50 square inches. What are the dimensions of the
envelope?
inches by
inches
Answer:
10x5
Step-by-step explanation:
5
10 10
5
10x2=20
5x2=10
10+20=30
10x5=50
Need help on number 3! Ik the answer for number 4 only 3!!!
Can anybody help and explain this? (Part a and b)
Answer:
Step-by-step explanation:
Part A
Given equation of the circle is,
x² + y² - 4x + 2y = b
Standard equation of the circle is given by,
(x - h)² + (y - k)² = r²
Here, (h, k) is the center and r = radius of the circle
Now we will convert this equation into a standard equation of the circle,
x² - 4x + y² + 2y = b
x² - 2(2x) + 2² + y² + 2y + 1² = b + 2² + 1²
(x² - 2(2x) + 4) + (y² + 2y + 1) = b + 4 + 1
(x - 2)² + (y + 1)² = √(b + 5)²
Therefore, (2, -1) will be the center of the given circle.
y-coordinate of the circle = -1
Part B
Since, radius of the circle is 7 units,
Therefore, [tex]\sqrt{b+5}=7[/tex]
b + 5 = 49
b = 49 - 5
b = 44
Brainliest Which is a true statement about the solutions of the equation x/x-2 = x-3/2x
The only solution is 1
The only solution is 3
Both -6 and 1 are solutions
Both 2 and 3 solutions
Equation has no solutions
Answer:
The Equation has no solution
Step-by-step explanation:
When you try and solve the equation you end up with the same numbers! Therefore the equation has no solution
Please help!
I’ll give the brainliest to the one who gives me the right answer, thank you!
Answer:
153.94
Step-by-step explanation:
Find the area of the sector:
A = (1/4)(14^2π)
A = (1/4)(196π)
A = 49π
A ≈ 153.94
PLEASEEE HELP I WILL GIVE U BRAIN THING IF ITS CORRECT
Can you pllllsssssss help meeeeee
Answer:
0
Step-by-step explanation:
find mean : 2+3+4+7 divided by 4 equals 4
subtaract mean from valuses: 2-4= -2 , 3-4= -1 , 4-4= 0 , 7-4= 3 ,
find mean with new numbers: -2+-1+3+0 divided by 4 equals 0 (everything cancels out)
2
EXERCISE 6.4
Challenge
Use the given rules to complete the following tables.
1
2
3
4
12
Position in sequencen
Term in sequence y = 2n + 3
the position in the
Imagine that you
work for 30 days.
Which of the
following two salar
would you rather
earn? Explain your
choice.
2.
1
2
3
4
15
10
Position in sequencen
Term in sequence y = -2n - 4
3.
2
Position in sequencen
3
18
4
10
Term in sequence y = -5n - 4
1
2
3
4
11
Position in sequencen
Term in sequence y = -2n - 14
10c on the first
20c on the seca
day; 40c on the
third day; 800
the fourth day
so on, for 30 C
R100 on the f
day; R101 on
second day;
on the third
and so on, fa
days.
.
10
5.
1
2
3
4
10
Position in sequencen
Term in sequence y = n+1
6.
2
1
20
3
4
Position in sequences
Term in sequence y = 2r2
Answer:
Unit 9 Answer Key.pdf
Step-by-step explanation:
Search that up and you'll see all the answers
Please give me Brainliest and like and rate please hope this helps BYE!
the altitude is drawn from the vertex angle of an isosceles triangle and is 15 cm long, if the base of the triangle is 16 cm long, how long are the legs?
0.33333333×3.14×8×8×18
Answer:
1205.75999
Step-by-step explanation:
The value of Acme Stock decreased a total of $40 over the last 5 days. What integer represents the average decrease in stock value each day?
Answer:
rewrwefe
Step-by-step explanation:
FFewF
help please ill give branliest for best answer
Answer:
x=31
y=64
Step-by-step explanation:
the angle with the double mark is 85° so the angle on the same line which is marked (x) is 31°
since sum of angles in a triangle is 180° , therefore, y= 180-85-31 which is 64°
The area of this shape is
Answer:
484 yd squared.
Step-by-step explanation:
Since all the sides ars the same length, you multiply 22 by 22 and get 484. Hope this helps sorry if im incorrect.
17.39 divided by 4.7
Answer:
3.7 is the right answer
Step-by-step explanation:
Answer:
3.7
Step-by-step explanation:
Find the area of the triangle. 7 in. 18 in. The area is square inches.
Can someone help me with this question please
9514 1404 393
Answer:
linear
Step-by-step explanation:
We notice that adjacent x-values all differ by 1.
Similarly, we notice that all y-values differ by 0.5. When differences are constant, the function is linear.
A circle of centre M has a radius of 11CM . if CA=16.3cm ,what is AB ? give your answer to the nearest tenth!
Answer:
16.4
Step-by-step explanation:
If it is asking for the tenth it will be the 1st one after the point and you round it to the next one.