How long will it take for a $2000 investment to grow to $2786 at an annual rate of 4.6% , compounded quarterly? Assume that no withdrawals are made.

Answers

Answer 1

Answer:

7.4

Step-by-step explanation:

use the compound interest formula

I=P(1+r/100)<n

2786=2000(1+4.6/100)^n

divide 2000 by both side

1.393=(1+4.6/100)^n

1.393=1.046^n

introduce the log

log1.393=rlog1.046

divide both with log1.046 to get the value of n

n=7.4


Related Questions

Five tenths of a circle equals what decimal part of a circle?​

Answers

Answer:

0.5

Step-by-step explanation:

5/10 of a circle is half of the circle.

Half is 0.5.

(c)
The table shows the opening times of the wildlife park.
Opening times
Days
Monday to Friday
Saturday and Sunday
0930 to 1715
1000 to 18 30
(i) Work out how long, in hours and minutes, the wildlife park is open on a Wednesday.
h
(ii) Calculate the total time, in hours and minutes, that the wildlife park is open in one ye

Answers

Based on the information given in the table, the opening hours on Wednesday and throughout the year is 7 hours , 45 minutes and 845 hours respectively.

Opening times ::

Monday to Friday : 09:30 - 17:15

Saturday and Sunday : 10:00 - 18:30

Opening duration on Wednesdays :

Closing time - Opening time on weekdays :

17:15 - 09:30 = 7 hours, 45 minutes

Opening duration in a while year :

Opening duration on weekdays per week = 7 hours 45 minutes

Opening duration on weekends per week = 8 hours 30 minutes

Total opening duration per Week :

(weekday + weekend)

(7 hours 45 minutes + 8 hours 30 minutes) = 16 hours 15 minutes

Number of weeks per year = 52

Total opening time per year :

(16 hours 15 Minutes) × 52 = 845 hours

Therefore, the park opens for a total of 845 hours per year.

Learn more : https://brainly.com/question/18405415

The mean of four numbers is 30. If three of the numbers are 12, 50, and 48, what is the fourth number?
A. 120
B. 10
C. 12
D. 30

Answers

Answer:

Here’s the answer:

Step-by-step explanation:

The sum of the four numbers divided by 4 is equal to the mean.

the sum/4 = mean

(12 + 50 + 48 + n)/4 = 30

(110 + n)/4 = 30

(110 + n) = 30 × 4

(110 + n) = 120

n = 120 - 110

n = 10


Pls helppppppppppp!!!!

Answers

Place your mouse on 21 and 18

If 5x - 2y = 6 and 3x + 2y = 10, then find the value of x and y.​

Answers

Step-by-step explanation:

[tex]\textsf{\large{\underline{Solution}:}}[/tex]

Given Equations:

→ 5x - 2y = 6 ----- (i)

→ 3x + 2y = 10 ---- (ii)

Adding (i) and (ii), we get:

→ 8x = 16

→ x = 16/8

→ x = 2

Substituting the value of x in (i), we get:

→ 5 × 2 - 2y = 6

→ -2y = 6 - 10

→ -2y = -4

→ y = -4/-2

→ y = 2

Therefore:

→ (x, y) = (2, 2) (Answer)

[tex]\textsf{\large{\underline{Verification}:}}[/tex]

Put x = 2 and y = 2 in first equation, the LHS becomes:

= 5 × 2 - 2 × 2

= 10 - 4

= 6

= RHS

Put x = 2 and y = 2 in second equation, the LHS becomes:

= 3 × 2 + 2 × 2

= 6 + 4

= 10

= RHS

Hence, our answer is correct (Verified)

Answer:

X= 2

Y= 2

Step-by-step explanation:

HELPPPP PLEASEEEE!!!!

Answers

Answer:

I could help you more if you showed more pictures

Step-by-step explanation:

Jeff makes 19 per hour and Carl makes 15 per hour.

Jeff makes more per hour, $4 more than Carl to be exact.

Jeff's constant of proportionality:   y=19/1

Carl's constant of proportionality:  y=150/10 ---> y=15

Carl's graph: For every hour he makes $15

(Hours)

10                                                                    .

9                                                             .

8                                                    .

7                                            .

6                                     .

5                              .

4                      .

3                .

2          .

1    .

    15  30  45  60   75   90  105   120  135  150 ($)

The length of the legs of a right triangle are 1 and 2 centimeters long. Find the length of
the hypotenuse.

Answers

Answer:

About 2.24 cm

Step-by-step explanation:

You can use Pythagoras theorem which states that;

[tex]a^2+b^2=c^2[/tex]

Plug all values in;

√[tex]1^2=1\\2^2=4\\1+4=5\\5=2.236067977[/tex]

I hope this helps:) Have a good day!!

Can you make EXACTLY $20 by using a total of seven $1, $5, or $10?

Answers

Answer: No, you cannot.  

1*7=7

5*7=35

10*7=70

None are equal to 20.

A cricket bat is bought for $400. Later, it is sold with a loss of 15%. How much is the cricket bat sold for? After selling the cricket bat, how much money has been lost? Give your answer to two decimal places because it is a currency.

Answers

Answer:

$60.00

Step-by-step explanation:

400X15%=60

60.00 TWO DECIMAL PLACES FOR CURRENCY OF $60.00

what set of ordered pairs in the form of (x,y) does not represent a function of x

Answers

Answer:

I believe it's option C

Step-by-step explanation:

A function is a relation that does not contain two pairs with same first component.

option C

{(-1,2),(3,-2),(0,1),(3,5)} is not a function, since there are two pairs with the same first component i.e, 3

hope it helps

mark me brainliest pls

Evaluate 2+x-2x7 for x=7

Answers

The answer is -5. Hope it helped!

PLEASE HELP ASAP WILL GIVE BRAINLYEST!!

Answers

It's on the picture

It's on the picture

Can y’all help me with all of these

Answers

1- it’s

2- it’s

3- let’s

4- one’s

5- he’s
1 It’s
2 It’s
3 Let’s
4 Ones
5 He’s

If p is true and q is false, what is the truth value of p or q?

1
0
true
false

Answers

Answer:

1 is the answer.............

Line L and m are prendicular with point of intersection P. Noah says that a 180 degree rotation with center p has the same effects on points in the plane as reflecting over line m. Do you agree with Noah? Explain your reasoning

Answers

The point of intersection is the point where two or more lines meet.

Noah's claim is incorrect

The given parameters are:

Line l, line m and point of intersection p

See attachment for illustration of the perpendicular lines l and m.

Figure 1 represents the original lineFigure 2 represents the line rotated 180 degreesFigure 3 represents the line reflected over line m

Using the attachment as a guide, we can see that both transformations do not have the same effect on the points on both lines.

This is so because, figures 2 and 3 can be transformed to one another by reflecting across line l.

Hence, Noah's claim is incorrect

Read more about transformations at:

https://brainly.com/question/13801312

What else would need to be congruent to show that A ABC= AXYZ by ASA?

Answers

Answer:

its c becuase its those sides are congruent then it would be angle side angle

Step-by-step explanation:

Have a good day :)

Solve for n.

3 ( n + 5 ) ≥ 3 n + 8

Answers

Answer:

[tex]3(n + 5) \geqslant 3n + 8 \\ 3n + 3 \times5 \geqslant 3n + 8 \\ 3n + 15 \geqslant 3n + 8 \\ 3n - 3n \geqslant 8 - 15 \\ 0n \geqslant - 7 \\ no \: solution \\ thank \: you[/tex]

Answer:

[tex]7 \geqslant 0 \: \: \: \: or \: \: \: \: 0 \leqslant 7 \\ [/tex]

Step-by-step explanation:

[tex]3(n + 5) \geqslant 3n + 8 \\ 3n + 15 \geqslant 3n + 8 \\15 - 8 \geqslant 3n - 3n \\ 7 \geqslant0 \\ [/tex]

In a hostel, 45 student consume 660 kg per month, How much rice with a consume by 60 student in 1 month.​

Answers

Answer is 880 kg

pls find the attached image

Help Will give branliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4=-x+2 - model 1.

3x-1=7 - model 2.

-5+2x=3 - model 6.

5+2x=-3 - model 3.

-4=2x+1 - model 5.

-3x+1=7 - model 4.

Which expression is equivalent to 6 14 ⋅ 6 3 ⋅ 6 4 ?

Answers

Answer:

2475648

Step-by-step explanation:

Solution 1: Use a calculator :)

Solution 2: calculate 63 squared first by using the bridge to 10 method ( urn 63^2 into 60*69+9), then add 63 to your answer, then multiply by 614

the jenkins family drinks 3/4 of a gallon of orange juice every 3 days. how much orange juice do they drink per day?

Answers

Answer:

1/4 gallon per day

Step-by-step explanation:

Find the 'unit rate:' the measure of juice drunken daily.  To do this, divide '3/4 gallon' by '3 days:"

 3/4 gallon

------------------- = 1/4 gallon per day

    3 days

Find the value of f (-6)

Answers

Answer:

4?

lol

Step-by-step explanation:

[(8-2) (3 + 2) - 1] x 3
What is the value of the expression?

Answers

Answer:

[(8-2) (3 + 2) - 1] x 3 = 87  

Step-by-step explanation:

87? Let me know if I am incorrect, pls.

Answer:

87

Step-by-step explanation:

Using PEMDAS and the Order of Operations, you will come up with this answer:

[(8-2)(3+2)-1] x 3

[6(5)-1] x 3

(30-1) x 3

29 x 3

87

To save money for a new phone, Terrell took a part-time job wrapping gifts. He wraps 3 gifts in 10
minutes.
Complete the table



HELPPP CAN SOMEONE TELL ME WHAT TO PUT IN THE TABLE

Answers

Answer:

* 0.3

Step-by-step explanation:

10   30     4.5       5.4

3     9       15        18

Answer: 10. 30 50. 60
3. 9. 15. 18
I think this is the answer super sorry if wrong

Which property justifies the statement below?

Answers

Answer:

It's associative property because they essentially mean the same thing, with the same signs and numbers and all, except the numbers are in different places.

Step-by-step explanation:

Hope this makes sense :)

PLEASE I NEED HELP ON THESE 3 QUESTIONS

In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.

Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2

Each month's highest recorded temperature is plotted on the number line.

Which of these months had the lowest high temperature? (ignore this)

1. Write the three temperatures in order from least to greatest. Explain how you put the numbers in order.

2. Which month had the lowest high temperature?

3. Which month had the highest temperature?

Answers

Answer:

sorry explenation lang po kaya ko ☺ thanks for points

Step-by-step explanation:

Task

Here are the low temperatures (in Celsius) for one week in Juneau, Alaska:

Monday Tuesday Wednesday Thursday Friday Saturday Sunday

5 -1 -6 -2 3 7 0

Arrange them in order from coldest to warmest temperature.

On a winter day, the low temperature in Anchorage was 23 degrees below zero (in ∘C ) and the low temperature in Minneapolis was 14 degrees below zero (in ∘C ). Sophia wrote,

Minneapolis was colder because −14<−23.

Is Sophia correct? Explain your answer.

The lowest temperature ever recorded on earth was −89∘C in Antarctica. The average temperature on Mars is about −55∘C. Which is warmer, the coldest temperature on earth or the average temperature on Mars? Write an inequality to support your answer.

IM Commentary

The purpose of the task is for students to compare signed numbers in a real-world context. It could be used for either assessment or instruction if the teacher were to use it to generate classroom discussion.

Solution

Let’s begin by plotting them all on the same number line.

Sol_2_ec6fb38ef3896587f51b9afceb07f705

The number line has positive numbers to the right of zero and negative numbers to the left of zero. This means that numbers farther to the right are always greater than those to the left. In terms of temperature, the coldest temperature (the least number) is all the way to the left, and the warmest temperature (the greatest number) is all the way to the right.

We can now list the temperatures from coldest to warmest:

−7,−6,−2,−1,0,3,5

Sophia is incorrect. It is common for students to compare negative numbers as if they were positive and to assume that the one with the greatest magnitude is the greatest number. However, −23 is to the left of −14 on the number line, and so it is less than −14. Thus

−23<−14

and Anchorage was colder.

Again, the coldest temperature corresponds to the least number. So the warmest temperature corresponds to the greatest number. Since

−55>−89

the average temperature on Mars is warmer than the coldest temperature on Earth.

Help I’ll mark as brainliest pls!!

Answers

Answer: y = 2 (x+4)

Tim = alice + 4

Bob = tim x 2

Alice = x

y = 2 (x+4)

Bob (y), Alice (x), tim (x+4)

A manufacturer of stereo sound speakers has found that the revenue received from selling the speakers at a
cost of p dollars each is given by the polynomial – 3p2 + 610p. Find the revenue received when p
dollars.
50

Answers

Answer:

50

Step-by-step explanation:

-3p2+610p     p=50

-3(50)2+610(50)

-3x50^2+610x50

50(-3x50+610)

50(-610+610)

50x0

50

Which is the area between the x-axis and y=x from x=1 to x=6

Answers

Answer:

I am going to answer using calculus. Let me know if you instead were looking for an algebraic method. Take the definite integral from 3 to 6 of xdx. [x^2/2]3 to 6= 18-(9/2)= (36-9)/2= 27/2. The area is 27/2

Simplify
x² - 9 / х^2 - 3x

Answers

Answer:

[tex]\frac{x+3}{x}[/tex]

Step-by-step explanation:

Factorise numerator and denominator

x² - 9 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 9

= x² - 3² = (x - 3)(x + 3)

x² - 3x ← factor out x from each term

= x(x - 3)

Then

[tex]\frac{x^2-9}{x^2-3x}[/tex]

= [tex]\frac{(x-3)(x+3)}{x(x-3)}[/tex] ← cancel common factor (x - 3) on numerator/denominator

= [tex]\frac{x+3}{x}[/tex]

Here is the answer!:)
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