find the time required for an investment of $3000 to grow to $8000 at an interest rate of 7.5% per year, compounded quarterly ( round the answer to two decimal places)​

Answers

Answer 1

Answer:

13.20 years

Step-by-step explanation:

Investment P = $3000Final amount F =  $8000Interest rate r = 7.5% = 0.075Compound number n = 4Time t = ?

Formula:

F = P(1 + r/4)^(4t)

Solve for t:

8000 = 3000(1 + 0.075/4)^(4t)8/3 = 1.01875^(4t)4t log 1.01875 = log (8/3)4t = 0.42596 / 0.008067t = 1/4(52.80)t = 13.20

Related Questions

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Answers

Answer:

0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniformly distributed between 0 and 5 minutes.

This means that [tex]a = 0, b = 5[/tex]

Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

[tex]P(X > 4.25) = \frac{5 - 4.25}{5 - 0} = 0.15[/tex]

0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Pls answer a and b I will give brainliest answer

Answers

Answer:

a. True, b. y = (-1/2)x + 8

Step-by-step explanation:

Because the graph is a straight line, that means that the graph is in fact proportional. For the equation, take the form y = mx+b. Plug in the slope, which is -1/2, and the y-intercept, which is 8, which would give you the equation y = (-1/2)x + 8.

Answer:

1) not proportional - not starting from origin

2) (2,8) - i did it in coordinates

have a great day

On a youth soccer team 3 out of 12 team members have played in previous years. Based on this information, if 150 kids are in the youth soccer league, then how many could be expected to have played the year before?​

Answers

Yes i also believe 30 is the answer

If x = 5, then which of the following equations makes a true statement?

Answers

i dont know. dear you should maybe try adding a picture.. help me out a bit.

21 divided by 4 equals 5 1/4

Answers

Answer:

yes

Step-by-step explanation:

in Enter a number into each box to create
an equation that has exactly no real solution.
3(2x+5)-X =

2) Enter a number into
each box to create an
equation that has exactly one real solution.
19x -(5x+9)+7=

Answers

Answer: 5X+15

The first one is

The second one is 2(7X+8)

1. Los estudiantes de primer grado de la IE Miguel Grau son 184, si la relación entre los que usan anteojos y los que no usan es de 3/5. ¿Cuántos estudiantes usan anteojos?

Answers

Answer:

69 estudiantes.

Step-by-step explanation:

Sabemos que el número total de estudiantes en primer grado es 184.

También sabemos que la relación entre los que usan anteojos y los que no es 3/5.

Esta relación es igual al cociente entre el número de estudiantes que usan anteojos y el número de estudiantes que no usan anteojos.

Si definimos las variables:

A = número de estudiantes que usa anteojos

B = número de estudiantes que no usa anteojos.

Tenemos la relación:

A/B = 3/5

podemos reescribir como:

A = (3/5)*B

Y también sabemos que el número total de estudiantes es 184, entonces tendríamos que:

A + B = 184.

Podemos aislar B en esta segunda ecuación para luego reemplazarlo en la primera.

Aislando B obtenemos:

B = 184 - A

Si reemplazamos esto en la otra ecuación obtenemos:

A = (3/5)*B

A = (3/5)*(184 - A)

Ahora podemos resolver esto para A.

A = (3/5)*184 - (3/5)*A

A + (3/5)*A = (3/5)*184

A*(1 + 3/5) = (3/5)*184

A*(5/5 + 3/5) = (3/5)*184

A*(8/5) = (3/5)*184

A = (5/8)*(3/5)*184

A = 69

Podemos concluir que 69 estudiantes usan anteojos.

When the sum of a number and 14 is
divided by 3, the result is 4.

Answers

Answer:

it is 4.6 sorry girl

Step-by-step explanation:

Answer:

Step-by-step explanation:

4.6=4 3/5=23/5

Please answer I’ll give Brainly

Answers

Answer:

62.5%

Step-by-step explanation:

There are a total of 8 people on the data plot.

5 of them got 15 questions or more correct, meaning 5/8 people got 15 or more questions correct.

5/8 = 5 ÷ 8

5 ÷ 8 = 0.625

0.625 = 62.5%

72 is 40% of what number? A. 18 B. 144 C. 180 D. 280

Answers

Answer:180(D)

Step-by-step explanation: First, do 72/x=40/100. Then, cross muliply which is 7200 and 40*x. do 7200/40. The answer should be 180.

Answer:

The answer is C(180) on edg 2021

please help me w ith thsi

Answers

Hi there! :)

[tex]\large\boxed{A = 12.5 \text{ units}^{2}}[/tex]

Find the area of the shape using the formula for the area of a trapezoid:

A = 1/2(b1 + b2) · h

Where:

b1 = base 1

b2 = base 2

h = height

A = area

Plug in the given bases and height:

A = 1/2(7.5 + 2.5) · 2.5

Simplify:

A = 1/2(10) · 2.5

A = 5 · 2.5

A = 12.5 units²

Expand (2+x)^3 using binomial theorem​

Answers

Step-by-step explanation:

= 2³ + x ³ + 3(2)²x + 3(2)x²

= 8 + x³ + 12x + 6x²

= x³ + 6 x² + 12 x + 8

WILL MARK BRAINLEST
You want to estimate how many fish there are in a pond. Suppose you cature 145 fish, tag them, and throw them back into the pond. After a couple of days, you go back to the pond and capture 580 fish, of which 29 are tagged.

An estimate for the number of fish in the pond is
fish

Answers

Answer:

450fish estimate

Step-by-step explanation:

y∝1√x
If
y=7 when x=64
find,
x when y=8

Answers

Answer:

uhm im really sorry about this but i really need points i would help but id get it wrong im bad aat math

Step-by-step explanation:

Will mark brainliest for any help!

Answers

Answer:

2) 523.3 in²

Steps:

the given polygon is a heptagon

a regular heptagon's area = 7/4 × s² × cot(180°/7)

for the given heptagon

A = 7/4 × 12² × cot(180/7) ≈ 523.28 in² = 523.3 in² (rounded)

i know mia is right but what’s the explaining?

Answers

Answer:

Just explain why you chose mia..

Step-by-step explanation: Why do you think mias right?

Answer:

Mia is right

Step-by-step explanation:

But the reason is because y=4+6x mark is going over the line and he needs to make sure its accross.

in the basketball game rachael scored 6 points less than twice the number of points Trina scored. Trina scored 9 points how many points did rachael score

Answers

9x2=18-6 which is 12

What value of y makes the equation 3y+ 9 = 36 true?

Answers

Answer:

y=9

Step-by-step explanation:


A helicopter hovers 1500 feet above a small island. The
figure shows that the angle of depression from the
helicopter to point P is 40°.
How far off the coast, to the nearest foot, is the island?
400
1500ft
Please help me solve this problem

Answers

Answer:

the island is 1787.63ft far.

Step-by-step explanation:

<P=40° alternate angle

in triangle

relationship between perpendicular and base is given by tan angle

tan 40=p/b

tan40=1500/b

b=1500/tan40=1787.63ft

what is the area of the triangle 10,24,26

Answers

Step-by-step explanation:

i d like to help but i fon knoeww

A party rental company has chairs and tables for rent. the total cost to rent 5 chairs and 3 tables is $ 27. The total cost to rent 2 chairs and 12 tables is $81.

cost to rent each chair=

cost to rent each table=​

Answers

Answer:

14 and 16

Step-by-step explanation:

nryjettutwi523iwtietiitqy25

2. which formula should be used to find the area of the composite shape? A = 4(1/2Xbh) lw B. A=4bh+lw C. a=4bh+lw d. 2bh+bh Please select all that apply.

Answers

Answer: the answer is B and D I told the test

Step-by-step explanation:

Given that T=KX/Y,find the percentage increase in T when k, xandy all increase by 20%​

Answers

Answer:

The percentage increase in [tex]T[/tex] is 20 %.

Step-by-step explanation:

Let be [tex]T = \frac{k\cdot x}{y}[/tex], whose initial parameters are [tex]k = k_{o}[/tex], [tex]x = x_{o}[/tex] and [tex]y = y_{o}[/tex]. If these three parameters are increased by 20 %, then initial and final values of [tex]T[/tex] are, respectively:

Initial value

[tex]T_{i} = \frac{k_{o}\cdot x_{o}}{y_{o}}[/tex] (1)

Final value

[tex]T_{ii} = \frac{(1.2\cdot k_{o})\cdot (1.2\cdot x_{o})}{1.2\cdot y_{o}}[/tex]

[tex]T_{ii} = \frac{1.2\cdot k_{o}\cdot x_{o}}{y_{o}}[/tex] (2)

(1) in (2):

[tex]T_{ii} = 1.2\cdot T_{i}[/tex]

And the percentage increase in T is:

[tex]\%T = \frac{T_{ii}-T_{i}}{T_{i}}\times 100\,\%[/tex] (3)

[tex]\%T = \frac{1.2\cdot T_{i}-T_{i}}{T_{i}}\times 100\,\%[/tex]

[tex]\%T = 20\,\%[/tex]

The percentage increase in [tex]T[/tex] is 20 %.

Answer:

Step-by-step explanation:

Lets subsitute k, x and y as  100 to make it easier for us

So k = 100, x = 100, y = 100

Step 1 :-   T = kx/y

- T = 100 * 100 / 100 = 100

Step 2 :- Increase by 20% = 100 * 20% = 20,    100 + 20 = 120

Step 3 :- Percentage Increase = Increased value OVER original calue          MULTIPLIED by 100%

SO = ( 120 - 100 ) ,,,,   20/100 * 100% = 0.2* 100 = 20%

Simplify the expression:
​P + 7p + 5p

P = ?

A. 13p
B. 13
C. 16p
D. 16

Answers

The answer Is A. 13p hope it helps

Can I please have help I will mark brainly est

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

I believe its SQUARE! Cuz it says 4 right angles.....

Hope it helps!

mark me brainliest pls.....

Follow me! :)

I don’t understand this. Please help me.

Answers

Answer:

A

Step-by-step explanation:

To check for similarity, check for the scale factor. We can see angle X and angle U are both 32°. If the triangles were similar side RS to side UV and side RT to side UW should give the same scale factor. 10:12 = 5:6 and 15:18 = 5:6. Therefore the two triangles are similar. When naming similar triangles make sure you start from the same point, so triangle RST is similar to triangle UVW.

is the marked equation right?
i cola in for me please

Answers

Answer:

Yes, because it crosses through (-2) at a rate of 1/3

Quadrilateral ABCD at A(-2,2),B(-2,4),C(2,4), and D(2,2). The quadrilateral is then transformed using the rule(x-2,y+8) to form the image A'B'C'D'. What are the new coordinates of A',B',C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments.

Answers

A(-4,10), B(-4,12), C(0,12), D(0,10). The shape will be exactly the same, just translated.

Mrs Tyler rolls a die each day to see how many points the homework will be worth that day. What is the probability that she rolls a 6 on Monday and a number less than 3 on Tuesday

Answers

Answer:

2/12

Step-by-step explanation:

what is the equation of the line in slope-intercept form?

Answers

Answer:

y = 8x

Step-by-step explanation:

Slope intercept form is y = mx + b

y = y coordinate

m = slope, rise over run

x = x coordinate

b = y-intercept, where the line crosses the y-axis.

y = mx + b

y = 80/10x + 0

y = 8x + 0

y = 8x

Answer:

y=-8x

Step-by-step explanation:

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