Answer:
Se requiere 34 meses para producir un interés de 8700 soles.
Step-by-step explanation:
Asumamos que el capital aumenta conforme a una tasa de interés compuesto, cuya fórmula se describe aquí abajo:
[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex] (1)
Donde:
[tex]C_{o}[/tex] - Capital inicial, en soles.
[tex]C[/tex] - Capital actual, en soles.
[tex]r[/tex] - Tasa de interés mensual, en [tex]\frac{1}{a}[/tex].
[tex]t[/tex] - Período de capitalización, en años.
Si sabemos que [tex]C_{o} = 42000[/tex], [tex]C = 50700[/tex] y [tex]r = 7\,\frac{\%}{a}[/tex], entonces el período de capitalización es:
[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex]
[tex]\frac{C}{C_{o}} = \left(1 + \frac{r}{100}\right)^{t}[/tex]
[tex]\ln \frac{C}{C_{o}} = t\cdot \ln \left(1 + \frac{r}{100}\right)[/tex]
[tex]t = \frac{\ln C - \ln C_{o}}{\ln \left(1+\frac{r}{100} \right)}[/tex]
[tex]t = \frac{\ln 50700 - \ln 42000}{\ln \left(1+\frac{7}{100} \right)}[/tex]
[tex]t = 2.782\,yr[/tex]
Es decir, se requiere 34 meses para producir un interés de 8700 soles.
how can I solve this question ?
wick method should I use ?
Answer:
24/60=6/15=2/5=48/120=16/40
Step-by-step explanation:
Now we see that,
6/15=2/__
Let us say '__' in 2/__ is 'x'
6/15=2/x
6x=15x2
6x=30
x=5
=>2/5
Similarly,
2/5=x/120
2x120=5x
240=5x
5x=240
x=240/5
x=48
=>48/120
48/120=16/x
48/16=120/x
3=120/x
x=120/3
x=40
=>16/40
write tge following numbers expanded forms.
23900068407
Answer:
Step-by-step explanation:
20000000000+3000000000+900000000+60000+8000+400+7
Consider y=h(θ) described in the table. When comparing h(θ) to the parent function f(θ)=cos(θ), which statements are true? Select all that apply.
2 Answers:
Choice AChoice E=====================================================
Explanation:
Let's go through the answer choices
---------------------------------
A)
The lowest point is y = 1, and the highest point is y = 27. Computing the midpoint gets us (yMin+yMax)/2 = (1+27)/2 = 28/2 = 14.
The midline of [tex]h(\theta)[/tex] is y = 14.
Consider that the parent function [tex]\cos(\theta)[/tex] has a midline of y = 0. The jump from y = 0 to y = 14 must mean [tex]h(\theta)[/tex] has a vertical shift of 14.
Choice A is true
---------------------------------
B)
The period is the length of the cycle. For the function [tex]h(\theta)[/tex], the function starts at [tex]\theta = 0[/tex] and repeats when it gets to [tex]\theta = \frac{\pi}{2}[/tex]. This is a difference of pi/2 units which is the period.
Choice B is false. It contradicts with choice E.
---------------------------------
C)
Choice C is false. The max for [tex]h(\theta)[/tex] is at y = 27
---------------------------------
D)
To figure out the amplitude, we can note the vertical distance from the midline y = 14 to the max is 27-14 = 13 units.
Or we can note the distance from the midline to the min is 14-1 = 13 units.
Or we subtract the min and max, and divide by 2: (yMax-yMin)/2 = (27-1)/2 = 26/2 = 13
Either way, the amplitude is 13 units
Choice D is false.
---------------------------------
E)
Choice E is true. Refer to choice B to see why this is the case.
---------------------------------
Side note: one possible function is [tex]h(\theta) = 13\cos(4\theta+\pi) + 14[/tex]. The various pieces of that function (in)directly lead to the amplitude, period, and vertical shift.
The correct two options are h(Ф) has vertical shift of 14 and Choice E
The period of a fuction is x/2
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Let's go through the answer choices
A)
The lowest point is y = 1, and the highest point is y = 27. Computing the midpoint gets us (yMin+yMax)/2 = (1+27)/2 = 28/2 = 14.
The midline of is y = 14.
Consider that the parent function has a midline of y = 0. The jump from y = 0 to y = 14 must mean has a vertical shift of 14.
Choice A is true
B)
The period is the length of the cycle. For the function , the function starts at and repeats when it gets to . This is a difference of pi/2 units which is the period.
Choice B is false. It contradicts with choice E.
C)
Choice C is false. The max for is at y = 27
D)
To figure out the amplitude, we can note the vertical distance from the midline y = 14 to the max is 27-14 = 13 units.
Or we can note the distance from the midline to the min is 14-1 = 13 units.
Or we subtract the min and max, and divide by 2: (yMax-yMin)/2 = (27-1)/2 = 26/2 = 13
Either way, the amplitude is 13 units
Choice D is false.
E)
Choice E is true. Refer to choice B to see why this is the case.
Side note: one possible function is h(Ф) = 13 Cos(4Ф + π) + 14 . The various pieces of that function (in)directly lead to the amplitude, period, and vertical shift.
To know more about functions follow
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How many quarters are there in 5 1
? ?
2
Answer:
yes
Step-by-step explanation:
51 divided by 25
Find the measure of "theta". Round all answers to the nearest tenth.
Answer:
58.6 degrees
Step-by-step explanation:
The point (5,-12) lies on the terminal side of an angel theta in standard position. Find the exact value of cot theta. Express the answer as a fraction reduced to the lowest term
Answer:
[tex]cot\theta=-\frac{5}{12}[/tex]
Step-by-step explanation:
We are given that the point (5,-12) lies on the terminal side of an angle theta in standard position.
We have to find the exact value of [tex]cot\theta[/tex].
Let
Point (x,y)=(5,-12)
[tex]r=\sqrt{x^2+y^2}[/tex]
Substitute the values
[tex]r=\sqrt{5^2+(-12)^2}[/tex]
[tex]r=\sqrt{169}=13[/tex]
We know that
[tex]cot\theta=\frac{x}{y}[/tex]
Using values
[tex]cot\theta=-\frac{5}{12}[/tex]
Which point is located at -8.95?
Answer:
pt A
Step-by-step explanation:
Answer:
Point A
Step-by-step explanation:
Hope this helps
Evaluate expressions- if A=4 and B=9 what is the value of the following expression
20/a+7•b
A.28
B.33
C.68
D.108
Answer:
68
Step-by-step explanation:
just put the value of a and b in the expression and you will get the answer
20/a+7.b is
20/4+7×9
5+63
68
Answer:
C. 68
Step-by-step explanation:
Fill in your values.
20/ 4 + 7 x 9
Solve using PEMDAS.
5 + 7 x 9
5 + 63
68
x ÷ 8.2 = 10. What is the value of x?
Answer:
82
Step-by-step explanation:
Answer:
82
Step-by-step explanation:
10 times 8.2 would be 82 so you just divide 82 by 10
Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in josiahs account, y, after x years?
a-y=360(1.3)^x
b-y=360(0.3^x
c-y=360(0.03)^x
d-y=360(1.03)^x
Answer:
y = 360 (1.03)^x
Step-by-step explanation:
Amount in account = principle * (1+ rate) ^ time
When the interest is annual
rate is in decimal form and time is in years
y = 360 ( 1+.03) ^x
y = 360 (1.03)^x
7x+2y=39 in slope intercept form
Complete the equation for the relationship between the weight and number of months
El volumen de un prisma de base rectangular es 24 m3. Si el largo de la base es 2,5 m y su ancho es 4 m, ¿cuál es la altura del prisma?
Answer:
La altura del prisma es 2,4 m.
Step-by-step explanation:
Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.
Entonces:
volumen= longitud*ancho*altura
En este caso, los datos conocidos son:
volumen= 24 m³longitud= largo de la base= 2,5 mancho= 4 maltura= ?Reemplazando:
24 m³= 2,5 m* 4 m* altura
Resolviendo:
[tex]altura=\frac{24 m^{3} }{2,5 m*4m}[/tex]
[tex]altura=\frac{24 m^{3} }{10 m^{2} }[/tex]
altura= 2,4 m
La altura del prisma es 2,4 m.
35/48*100 fraction into percentage.
Answer:
729167
Step-by-step explanation:
Now we can see that our fraction is 72.916666666667/100, which means that 35/48 as a percentage is 72.9167%.
4 1/3 - 2 1/2 divided by 1 2/3
Answer:
Exact Form: [tex]\frac{17}{6}[/tex]
Decimal Form: 2.83
Mixed Number Form: [tex]2 and 5/6[/tex]
Step-by-step explanation:
Answer:
[tex]1\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]4\frac{1}{3}-2\frac{1}{2}[/tex]
[tex]4\frac{2}{6} -2\frac{3}{6}=1\frac{5}{6}[/tex]
[tex]1\frac{5}{6} =\frac{11}{6}[/tex]
[tex]1\frac{2}{3}=\frac{5}{3}[/tex]
[tex]\frac{11}{6}[/tex] ÷ [tex]\frac{5}{3} =[/tex]
[tex]\frac{11}{6} *\frac{3}{5}=[/tex]
[tex]\frac{11}{2}*\frac{1}{5} =[/tex]
[tex]=\frac{11}{10}[/tex]
[tex]=1\frac{1}{10}[/tex]
Hope this is helpful
Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = -1.c
Answer:
[tex]\displaystyle y=\frac{1}{4}x^2[/tex]
Step-by-step explanation:
Let (x, y) be a point on the parabola.
By definition, any point on the parabola is equidistant from the focus and the directrix
The distance from the focus is given by:
[tex]\begin{aligned} d&=\sqrt{(x-0)^2+(y-1)^2\\\\&=\sqrt{x^2+(y-1)^2}\end{aligned}[/tex]
The distance from the directrix is given by:
[tex]d=|y-(-1)|=|y+1|\text{ or } |-1-y|[/tex]
So:
[tex]\sqrt{x^2+(y-1)^2}=|y+1|^[/tex]
Square both sides. Since anything squared is positive, we can remove the absolute value:
[tex]x^2+(y-1)^2=(y+1)^2[/tex]
Square:
[tex]x^2+(y^2-2y+1)=y^2+2y+1[/tex]
Hence:
[tex]x^2=4y[/tex]
So, our equation is:
[tex]\displaystyle y=\frac{1}{4}x^2[/tex]
Is this question biased or unbiased?
"Why is drinking fruit juice good for you?"
To find the quotient of multiply 3 by
Answer:
the other number to get the quotient
Brad bought a piece of industrial real estate for $192,345. The value of the real estate appreciated a constant rate per year. The table shows the value of the real estate after the first and second years:
Year:
1
2
Value (in dollars):
$200,038.80
$208,040.35
Which function best represents the value of the real estate after t years?
A. f(t) = 200,038.80(1.04)^t
B. f(t) = 200,038.80(0.04)^t
C. f(t) = 192,345(0.04)^t
D. f(t) = 192,345(1.04)^t
Answer:
D. f(t) = 192,345(1.04)^t
Step-by-step explanation:
I took the test and it was right.
Also that is the original price and when you look at exponential functions, the starting point or original price is always first the then rate of increase. The table just shows how it increased in year 1 and 2.
Hope this helps. :)
A function assigns the values. The function that best represents the value of the real estate after t years is f(t) = 192,345(1.04)^t. Thus, the correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The initial cost of industrial real estate is $192,345, while the cost after one year is $200,038.80. Therefore, the rate of appreciation is,
[tex]\$200,038.80 = \$192,345(1+R)^t\\\\\$200,038.80 = \$192,345(1+R)^1\\\\\dfrac{\$200,038.80}{\$192,345}=(1+R)^t\\\\1.04 = 1 + R\\\\R = 0.04[/tex]
Hence, the function that best represents the value of the real estate after t years is f(t) = 192,345(1.04)^t. Thus, the correct option is D.
Learn more about Function:
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what is the place value of the 3 in the numeral : 247.3
the place value of 3 in the following is (0.3)
PLEASE HELP
what is the amount of an investment $10,000 compounded quarterly for 3 years at a rate of 4 percent?
Answer:
10000 times 3 times 0.04 = 1200
Answer:
11268.25
Step-by-step explanation:
[tex]P(1+\frac{i}{n})^{n*t}=10000(1+\frac{.04}{4})^{4*3}=11268.2503[/tex]
2 Points
(25x
0
The equation ya
represents Michelle's regular
130(x-38) +950 %> 38
hourly and overtime wage. Based on this equation, what is Michelle's
overtime hourly pay?
A. $30
B. $38
O C. $950
O D. $25
Answer:
The answer is "35.22".
Step-by-step explanation:
Let the given equation:
[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]
Answer: $25
Step-by-step explanation: took the quiz
Which ratio is equivalent to 30%?
A. 6:20
B. 3:9
C. 2:6
D. 5:18
Answer:
2+2= -5
Step-by-step explanation:
i dont come up with the rules i just state the facts.
a little bit of help here??
Answer:
balanced
Step-by-step explanation:
The upward force is 75+ 160 =235
The downward force is 235
The force is balanced since the upward force equals the downward force
Please help me on this question
Answer:
√20
Or
2√5
Step-by-step explanation:
It is very easy just substitute
It will be:
Matthew grows wheat on his farm. One of his fields produced 66.8 bushels of wheat this year. If wheat is currently selling for $5.40 per bushel, how much will Matthew earn from this field?
Answer:
Mathew will earn $360.72 from his food
Step-by-step explanation:
We know that:
1 bushel of wheat = $5.40
And Matthew produced 66.8 bushels of heat this year
To find how much Matthew will earn from his field, multiply:
5.40 x 66.8 = 360.72
Therefore he will earn $360.72 from his field.
Hope thjs helps!
Find an equation for the perpendicular bisector of the line segment whose endpoints are (8,-5)(8,−5) and (4,3)(4,3).
Answer:
[tex]Correct answer\\y=\frac{1}{2} x-4[/tex]
Step-by-step explanation:
[tex]y-\frac{-5+3}{2} =\frac{-1}{\frac{3-(-5)}{4-8} } (x-\frac{4+8}{2} )\\y+1=\frac{1}{2} (x-6)\\y=\frac{1}{2} x-4[/tex]
I NEED HELP ASAP PLESSEEE
What is the relation between the variables in the equation
Y/x^2= 10?
a. x varies directly with the square of y
b. y squared varies inversely with x
C. y varies directly with x squared
y varies inversely with x squared
d.
Answer:
I think C is the relation between the variables.
Which numbers are divisible by 2?
A)826
B)270
C)271
Answer:
A
Step-by-step explanation:
Answer:
A and B, every even number is divisible by two, C is odd
In triangle ABC, if ∠A = 120°, a = 8, and b = 3, then ∠B =
Answer:
Step-by-step explanation:
Use the Law of Sines here:
[tex]\frac{sin120}{8} =\frac{sinB}{3}[/tex] and cross multiply to get
8sinB = 3sin120 and solve for B:
[tex]sinB=\frac{3sin120}{8}[/tex] and
sinB = .3247595264
Now hit the 2nd button and then sin to get
[tex]sin^{-1}([/tex]
on your display. After that open parenthesis, enter that decimal and hit enter to get that angle B = 18.95 which you can round to howeve many places you need.