Answer:
El padre tenía un capital de 60,000 euros.
El hijo mayor recibe 12,000 euros.
El hijo segundo recibe 15,000 euros.
El hijo tercero recibe 33,000 euros.
Step-by-step explanation:
Sea [tex]x[/tex] el capital total del padre y [tex]a,b,c[/tex] son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:
Hijo mayor
[tex]a = \frac{1}{5}\cdot x[/tex] (1)
Hijo segundo
[tex]b = \frac{1}{4}\cdot x[/tex] (2)
Hijo tercero
[tex]c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000[/tex] (3)
De (3) tenemos que el capital del padre es:
[tex]x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4} }[/tex]
[tex]x = 60000[/tex]
El padre tenía un capital de 60,000 euros.
Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:
[tex]a = \frac{1}{5}\cdot x[/tex]
[tex]x = 12000[/tex]
El hijo mayor recibe 12,000 euros.
[tex]b = \frac{1}{4}\cdot x[/tex]
[tex]b = 15000[/tex]
El hijo segundo recibe 15,000 euros.
Problem PageQuestion A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 10%, and the tax in the second city was 8%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?
Answer:
the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750
Step-by-step explanation:
Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.
Therefore tax in first city = 10% of a = 0.1a
Tax in second city = 8% of b = 0.08b
From the total tax as $825, hence:
0.1a + 0.08b = 825 (1)
The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:
b = a - 1500
a - b = 1500 (2)
To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:
0.18b = 675
b = $3750
a = b + 1500 = 3750 + 1500 = 5250
a = $5250
Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750
PLEASE HELP ! giving a lot of points!
Answer:
458 g144 gStep-by-step explanation:
As per equation, the initial amount is:
A(0) = 458*(1/2)^(0/30) = 458*1 = 458 gSample amount left after 50 years:
A(50) = 458*(1/2)^(50/30) = 144 g (rounded)Complete the statement to write a general rule for dividing expressions with exponents.
Answer:
409
Step-by-step explanation:
I got it right on mine
i only need a little guidance on this, please.
Answer:
Use the following identities:
sin²θ + cos²θ = 1Since sinθ = -1
cos²θ = 1 - sin²θcosθ = √1 - sin²θ = √1 - (-1)² = √0 = 0Tangent:
tanθ = sinθ / cosθtanθ = -1 / 0 = undefined in any interval where sinθ = -1sinØ=-1
cosØ
√1-sin²Ø√1-10tanØ
sinØ/cosØ1/0undefinedIn AWXY, w = 6.7 inches, x = 7.4 inches and ZY=71°. Find the area of AWXY, to the
nearest 10th of a square inch.
Answer:
23.4
Step-by-step explanation:
The area of the triangle is 23.55 in².
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔWXY
w = 6.7 inches
x = 7.4 inches
∠Y = 71°
Now,
The area of the triangle.
= 1/2 (wx) siny
= 1/2 x (6.7 x 7.4) x sin 71
= 1/2 x 49.58 x 0.95
= 23.55
Thus,
The area of the triangle is 23.55 in².
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
A tree grew 92 4/5 feet in 19 1/3 years. What was the average yearly growth rate of the tree
Answer:
4 247/290 or 4.85 ft/year
Step-by-step explanation:
93 4/5 ÷ 19 1/3 = 469/5 ÷ 58/3 = 469/5 x 3/58 = 1407/290 = 4 247/290
Se prestan 45 000 € y al cabo de un año, 4 meses y 20 días se reciben 52 500 €. Calcular la tasa de interés
Answer:
the rate of interest is 11.7453%
Step-by-step explanation:
Given that
The present value is € 45,000
The Future value is €52,500
Time period 1 year, 4 months and 20 days i.e. 1.38809 years
We need to find out the interest rate
Here we apply the RATE formula in the spreadsheet
The formula is
= RATE(NPER;PMT;-PV;FV;TYPE)
The PMT would be zero
After applying the above formula, the rate of interest is 11.7453%
Can someone plz help me with this one problem!!!
Answer:
Step-by-step explanation:
Answer:
v = 9 m
Step-by-step explanation:
the formula for the perimeter is P = 2W + 2L.
Here the perimeter is 42 m = 2(12 m) + 2v. Solving for 2v, we get:
42 m - 24 m = 2v, or
v = 21 m - 12 m, or
v = 9 m
Can someone please help me
Answer:
11^2*pi= 121pi
Step-by-step explanation:
Find the area
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: I think is is 56 in^2
Step-by-step explanation:
Answer:
I’m pretty sure the answer is 56 in^2
If I’m wrong I’m sorry. I’m not strong on this.
PLEASE HELP I NEED IT TO PASS THIS CLASS
Answer:
Angle 5 = 37°
Angle 8 = 143°
Step-by-step explanation:
Angle 2 = Angle 8
Reason : Alternate exterior angles are equal.
Therefore,
Angle 8 = 143°
Angle 5 + Angle 8 = 180°
Reason : Angle 5 & 8 are in a linear pair.
Angle 5 + 143° = 180°
Angle 5 = ( 180 - 143 )°
Angle 5 = 37°
Find the perimeter of the figure. PLEASE HELP ASAP I’LL MARK BRAINLIEST
Answer:
I believe it should be 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
hope this helps!
Find the 5th term of the arithmetic sequence −5x−6, -x-10,3x−14,.
I think this is going to help you understand the concept and hope that the answer is correct. Thanks for understanding.
HELP PLEASE I NEED IT LIKE NOW ILL GIVE BRAINLEST
Answer:
42
Step-by-step explanation:
Since the scale factor is , we know that the bigger shape went to the smaller shape.
If we know that the smaller shape's side, 12, is of the bigger one, we can make the equation
.
To solve for x, we can divide both sides by .
We can multiply by the reciprocal:
Hope this helped!
Create an equivalent ratio to 30:40 by dividing both sides by 10. What is the equivalent ratio?
Answer:
3:4
Step-by-step explanation:
Find the value of x- helppp
Answer:
60º
Step-by-step explanation:
A triangle is 180º so you do (180-60)/2 and you get that x=60.
Hope that helps :)
Answer:
Hey love! x = 60
Step-by-step explanation:
Because a triangle adds up to 180 so
180 - 60 = 120 and sense both angles will be the same measure I divide 120 by 2 and get 60 so
x =60 Hope that helps!
what is the value of [(-3)^3]^2+2^4?
Find the measures of the numbered angles in the diagram below?
Answer:
9) 130° (vertical to 130°)
10) 50° (supplementary to 130°, 180° - 130° = 50°)
11) 130° (alternate exterior to 130°)
12) 130° (vertical to 130°)
Step-by-step explanation:
Find the inverse of the following function.
f(x) = + 12
OA (1) = x
= 1 – 12
OB. (v) = 12 - Foto
oc. 5- (6) = x3 – 12
OD. 1-() =
= 1 + 12
Answer:
c
Step-by-step explanation:
exchange y and x
then find y
helppppppppppppppppppp
Answer:
vertical opposite angles are always equal
= 143°
co-interior angles are supplementary ( 180° )
∴ x = 180 - 143 = 37
∴ x = 37°
hope this answer helps you.....
please mark as brainliest.. thank you!
Which is a direct variation equation?
1. Y=x+5
2. Y=-5/x
3. Y=-5x
4. Y=x-5
Help
Answer:
3. y = -5x
Step-by-step explanation:
In a direct variation equation, the constant of proportionality (k) is a direct coefficient of the variable x.
Y will be set equal to x multiplied by this coefficient.
Since y = -5x directly relates x to y, with the constant of proportionality, it is a direct variation equation.
So, 3. y = -5x is the correct answer.
3 Anthony has
$5 to buy breakfast in the
cafeteria a few times this week. Each
breakfast costs $1.25. Which inequality
represents the relationship between the
number of breakfasts, b, he can buy and
the amount of money he has?
F 5 1.25 + b
G5 < 1.25 + b
H 5 > 1.25b
J 5 < 1.25b
Answer:
The answer would be letter J
The inequality for total expenditure & number of breakfasts is 5 > 1.25b
Formulation of inequality equation for expenditure & breakfasts
Assumed : Number of breakfasts = b
Number of breakfast meals x Price per breakfast meal = Total Expenditure
Total expenditure should be less or than equal to $1.25
So, 1.25b < 5
It implies that inequality : 5 > 1.25b
To learn more about Inequality, refer https://brainly.com/question/19491153?referrer=searchResults
(WILL GIVE BRAINLIEST)
Vanessa has a vase shaped like the triangular prism shown.
She wants to paint the vase's sides, but not the top and
bottom. What is the closest to how many square
centimeters of paint will she need?
ANSWER CHOICES:
27.2 cm^2
31.2 cm^2
17.6 cm^2
44.8 cm^2
Answer:
C.
Step-by-step explanation:
4 x 2.8 x 2 x 2 = 44.8
Which ordered pair is a solution to the equation y= 4x - 8?
(2, 1)
(3, 5)
(4, 8)
(5, 10)
(Please help me ASAP I will give u 30 points and brainliest.
Answer:
(4,8)
Step-by-step explanation:
1=8-8 no
5=12-8 no
8=16-8 YES
10=20-8 no
Answer:
I have that same problem!
Step-by-step explanation:
Which of these tables represents a function?
Answer:
Table W represents a function
Step-by-step explanation:
Mathematically, for us to have a function , no two y-values can take a single x value
But it is possible that two x-values have a single y value
So let us make a selection from the table
We have the correct option as;
W
Find the hypotenuse of the triangle, the
distance between points (4, 4) and (-2,-2).
[?]
(4.4)
Enter the number that
6 goes beneath the radical
symbol
(-2,-2)
6
Find the volume of the figure. Use 3.14 for pi
Answer:
13
Step-by-step explanation:
GET 30 POINTS IF YOU ANSWER!!! ASAP!!!
Which of the following are true statements? Select all that apply. (2 answers)
If sin A=0.35, cos A=0.94, sin B= 0.58, and cos B=0.81 what is sin(A+B)?
Answer:
0.93
Step-by-step explanation:
this is the correct answer you want please follow me and make me brainlist
Multiply and find the value of x
Answer:
X=15
Step-by-step explanation:
An equation is shown below. 16 – 10 + y= 12 What value of y makes the equation true? a. 0 b. 3 c. 6 d. 12
Answer:
y= 6
Step-by-step explanation:
16-10
=6
6+6
= 12