Answer:
See explanation
Step-by-step explanation:
The question is incomplete as the invested amount and the interest rate are not given. However, I will give a general method of solving it.
Assume that:
[tex]r = 5\%[/tex] --- interest rate
[tex]PV =9000[/tex] --- Present value or invested amount
To calculate time (in years), we make use of the following formula of future value
[tex]FV = PV(1 + r)^n[/tex]
Where
[tex]FV = 11800[/tex]
So:
[tex]11800 = 9000( 1 + 5\%)^n[/tex]
Divide both sides by 9000
[tex]1.31 = ( 1 + 5\%)^n[/tex]
Take logarithm of both sides
[tex]Log(1.31) = Log(1 + 5\%)^n[/tex]
Apply law of logarithm
[tex]Log(1.31) = nLog(1 + 5\%)[/tex]
Make n the subject
[tex]n = \frac{Log(1.31)}{Log(1 + 5\%)}[/tex]
Express 5% as decimal
[tex]n = \frac{Log(1.31)}{Log(1 + 0.05)}[/tex]
[tex]n = \frac{Log(1.31)}{Log(1.05)}[/tex]
[tex]n = \frac{0.1173}{0.0212}[/tex]
[tex]n \approx 6[/tex]
The time to reach the future value is approximately 6 years.
Use the above explanation to answer your question
The sides of a right triangle are used to construct three squares, as shown below. The number of square units, representing area, is shown in two of the squares. A represents the area of the largest square.
1. We know that the distance formula will be be d=√((x_2-x_1)²+(y_2-y_1)²), then we can do x2-x1=3. Y2-Y1=5. 3x3+5x5=34, the square root of 34 is around 5.83. The answer is F.
The person with that spam is rude and wasted your time, sorry for that.
The solution is Option D.
The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the area of the square A be = S
Let the triangle be represented as ΔABC
The base of the triangle BC = 5 units
The height of the triangle AB = 3 units
So , the hypotenuse of the triangle AC = Side of the square A
And , from the Pythagoras theorem
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
AC² = 5² + 3²
AC² = 25 + 9
AC² = 34 units²
AC² = Area of the square A with side AC
Therefore , the value of S is 34 units²
Hence , The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²
To learn more about triangles click :
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Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
y2 +
y +
- 17 woule be the correct answer for the equation being simplified
Answer:
For edge
Step-by-step explanation:
The first one is -3
The second one is -6
The last one is -17
1. the area of a circle is 132.7 square inches. find the radius. round to the nearest tenth
2. in terms of pi, find the area of a 120 degree sector in a circle with a 6m radius
Answer:
no ):(
Step-by-step explanation:
Answer:
1. r ≈ 6.5in
2. 132
Step-by-step explanation:
1. A=πr2
Solving for r
r=A
π=132.7
π≈6.49921 in
2. = 120°/ 360° x 22/7 x 6²
= 1/3 x 22/7 x 6 x 6
= 22 x 6 x 6 / 7 x 3
= 22 x 6
= 462
i really need help I am being timed
Answer:
17.5
I hope this helped :)
Answer:
17.5
Step-by-step explanation:
pls help me with this math
Answer: C
Step-by-step explanation:
Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants to use half as much so it won’t be so spicy. How much chili powder should Karl use?
Given:
The recipe calls for [tex]\dfrac{3}{8}[/tex] cup of chili powder.
Karl only wants to use half as much so it won’t be so spicy.
To find:
How much chili powder should Karl use?
Solution:
We have,
Chill power for recipe = [tex]\dfrac{3}{8}[/tex] cup
Chill power used by Karl is half of chill power for recipe.
[tex]\text{Chill power used by Karl}=\dfrac{1}{2}\times \dfrac{3}{8}[/tex] cup[tex]\text{Chill power used by Karl}=\dfrac{3}{16}[/tex] cup
Therefore, [tex]\dfrac{3}{16}[/tex] cup of chili powder should Karl use.
A square stepping stone has a side length of 10 1/4 inches.
What is the area of the stepping stone?
Area=2.5
Step-by-step explanation:
area
[tex]area = length \times width[/tex]
[tex]area = 10 \times \frac{1}{4} [/tex]
Pls help me i will give u brainlist
Answer:
y < or= -3/2
Step-by-step explanation:
Answer:
< or= -3/2
Step-by-step explanation:
hello please help i’ll give brainliest
Answer:
-8/6 is equivalent to the -8.(1/6).
Step-by-step explanation:
third an forth options are correct
[tex] - \frac{1}{6} \times 8[/tex]
[tex] - \frac{8}{6} [/tex]
I'M GIVING BRAINLIEST TO WHOEVER ANSWERS ALL OF THE QUESTIONS CORRECTLY! PLEASE HURRY! :D
Answer:
Step-by-step explanation:
8. 7.5 Goes up by 2.5.
9. 7.3 Goes down by 2.1
10. 116/3
Answer:
8- 7.5
9-7.3
10-38 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer this question to get marked as brainliest!!!!
Answer:
Diameter is the second option
Radius is the first option
Circumference is the third option
Area is the sixth option.
Step-by-step explanation:
Diameter is the distance between two circles from one end to another.
Radius is from the center to any part of the circle
To find cirumfrnce it’s diameter*π
To find area is πr^2 or in this case π*radius*radius
Please help.
Is algebra.
The answer for question 4 is C and the answer for question 5 is D.
Urgent please help..
Answer:
30cm
Step-by-step explanation:
The perimeter of the triangle is the sum of all of its sides
Since the triangle is an isosceles triangle, then AC = BC
Since AC = 3cm + 9cm = 12cm, then;
AC = BC = 12cm
For AB;
AB = 3cm + 3cm
AB = 6cm
Perimeter of the polygon = AC+BC + AB
Perimeter of the polygon = 12cm + 12cm + 6cm
Perimeter of the polygon =30cm
solve the equation b - 7 - 6 = 15 + 5b
Answer:
b = -7
Step-by-step explanation:
b - 7 - 6 = 15 + 5b
b - 13 = 15 + 5b
4b = -28
b = -7
I really need help Please and thank you
la B s la correcta por que es el que esta mas serca :)
Based on the diagram, what is sin A
Enter your answer in the boxes.
sin A =
Answer:
sin A = a/c
Step-by-step explanation:
what is the negative solution to this equation? 4x^2+12x=135
Answer:
[tex]-\frac{15}{2}[/tex]
Step-by-step explanation:
[tex]\mathrm{Subtract\:}135\mathrm{\:from\:both\:sides}[/tex]
[tex]4x^2+12x-135=135-135[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x^2+12x-135=0[/tex]
[tex]x1, 2=−b±√b2−4ac2a For a=4, b=12, c=−135x1, 2=−12±√122−4· 4(−135)2· 4[/tex]
Jenny bought scrapbooking supplies for $70.75. She paid $5.66 in sales tax. What was the sales tax rate on the supplies? If necessary, round your answer to the nearest tenth.
Answer:
8%
Step-by-step explanation:
Can anyone answer this?
Step-by-step explanation:
a) First we will convert 150km/hr to m/s.
[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]
=2500m/s, which is the initial speed of the plane.
b)Final Speed of plane = Speed when it stopped.
= 0m/s.
c)Time taken to stop = 3 seconds.
d)Using the kinematic equation,
v = u + at,
where v = Final Speed = 0m/s
u = Initial Speed = 2500m/s
a = acceleration
t = time taken = 3 seconds
Substitute v, u and t to find a.
[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]
Solve the inequality $-4(x + 4) > x + 7.$ Give your answer as an interval.
Answer:
x < -4.6
Step-by-step explanation:
-4(x + 4) > x + 7
-4x - 16 > x + 7
-4x - x > 7 + 16
-5x > 23 (When we divide by a negative number, we flip the sign)
5x < -23
x < -4.6
PLEASE HELP!!! I WILL RATE YOU BRAINLIEST
The first laptop ever was sold was the Osborne 1. It came onto the market in 1981, and it had a mass of 11 kg. Suppose that since 1981 the mass of laptops has decreased at an average rate of 4.7% per year. What was the approximate weight of a laptop in 2019?
a. 6.43 kg
b. 8.10 kg
c. 4.62 kg
d. 1.76 kg
Answer: (d)- 1.76 kg
Step-by-step explanation:
Given
The first laptop mass was 11 kg
The rate of mass decreases by 4.7% per year
In 1982, it was
[tex]\Rightarrow 11-11\times 4.7\%=11-11\times 0.047\\\Rightarrow 11(1-0.047)\ kg[/tex]
In 1983, it was
[tex]\Rightarrow 11(1-0.047)-11(1-0.047)\times 0.047=11(1-0.047)^2[/tex]
In 2019 i.e. after 38 years, it is
[tex]\Rightarrow 11(1-0.047)^38=11\times 0.953^{38}=1.76\ kg[/tex]
Find the perimeter and area of the shape.
Answer:
The perimeter is 41
Step-by-step explanation:
The perimeter of a shape is just the sum of all its sides added up. In this case, that would mean the perimeter is:
12 + 9 + 9 + 4.6 + 6.4 = P30 + 11 = P41 = PHope this helps!
Resuelve usando el método de sustitución o el de eliminación. Para un juego de baloncesto se vendieron 1,850 boletos. Se recaudo un total de $ 8,800. Si los boletos de niños cuestan $ 4 y los de adultos cuestan $ 6. ¿Cuántos boletos de cada clase se vendieron?
Answer:
Se vendieron 700 boletos para adultos y 1,150 boletos para niños.
Step-by-step explanation:
Primero tenemos que definir dos variables:
x = número de boletos de niños vendidos
y = número de boletos de adultos vendidos.
Entonces podemos escribir la recaudación total como:
x*$4 + y*$6
Y sabemos que la recaudación total fue $8,800, entonces:
x*$4 + y*$6 = $8,800
También sabemos que se vendieron 1,850 boletos, entonces:
x + y = 1,850
Entonces tenemos el sistema de ecuaciones:
x*$4 + y*$6 = $8,800
x + y = 1,850
En este caso podemos utilizar el método de sustitución, para ello primero debemos aislar una de las variables en una de las ecuaciones.
Si aislamos x en la segunda ecuación tenemos:
x = 1,850 - y
Ahora podemos sustituir esto en la otra ecuación para obtener:
(1,850 - y)*$4 + y*$6 = $8,800
Ahora podemos resolver esto para y.
$7,400 - y*$4 + y*$6 = $8,800
y*$2 = $8,800 - $7,400 = $1,400
y = $1,400/$2 = 700
Entonces se vendieron 700 boletos para adultos.
Ahora podemos usar la ecuación x = 1,850 - y para obtener el valor de x.
x = 1,850 - y
x = 1,850 - 700 = 1,150
Se vendieron 1,150 boletos para niños.
Having a wife is monogamy. Having two wives is bigotry. Having three wives is ______________.
Answer:
polygamy
Step-by-step explanation:
Answer:
polygamy :)
Explanation:
PLS HELP WITH THIS I NEED A GOOD GRADE
Step-by-step explanation:
4.5 approximately is the answer.A box contains 3 pens, 2 markers, and 1 highlighter. Tara selects one item at random and does not return it to the box. She then selects a second item at random. What is the probability that Tara selects 1 pen and then 1 marker?
Answer:
1/5
Step-by-step explanation:
There are a total of 6 items in the beginning. In the first selection, there is a 3/6 chance that she selects a pen. Since she does not return it to the box, there are 5 items left. The possibility to select a marker is 2/5. Simply multiply the two fractions. You will get 1/5.
if y varies inversely as x, and y =35 when x =14, find x when y =15.
Answer:
[tex]x = 32 \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]
Let's find the value of k first.
When y= 35, x= 14,
[tex]35 = \frac{k}{14} [/tex]
k= 14(35)
k= 490
Substitute the value of k into the equation:
[tex]y = \frac{490}{x} [/tex]
When y= 15,
[tex]15 = \frac{490}{x} [/tex]
15x= 490
x= 490 ÷15
[tex]x = 32 \frac{2}{3} [/tex]
Fill in the missing number on the table, based on the graph?
Answer:
0.5
Step-by-step explanation:
sana panget kayong lahat
2.Use the digits given below to make the largest possible number
without repetition off digits. .Then round off nearest ten, hundred and
thousand
a) 2, 5,4 , 3, 6, 7
b) 0 ,9, 8, 7 ,6, 4
Answer:
1)765432
Nearest ten: 765430
Nearest hundred: 765400
Nearest thousand: 765000
2) 987640
Nearest ten: 987640
Nearest hundred: 987600
Nearest thousand: 988000
Not sure if this is what you want.
What is the GCF for 4x^2yz^3 and 12xz^2
Answer:
The great common factor is:
x(2z)²Steps:
given:
4x²yz³12xz²4x²yz³ = 2²x²z²yz
4x²yz³ = x(2z)²xyz
---------------------------------
12xz² = 4×3xz²
12xz² = 2²3xz²
12xz² = x(2z)²3
The great common factor is: x(2z)²
Answer:
4xz^2.
Step-by-step explanation:
GCF of 4 and 12 is 4
GCF of x^2 and x is x.
GCF of z^3 and z^2 is z^2.