A person invests 2000 dollars in a bank. The bank pays 6.25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?

Answers

Answer 1

9514 1404 393

Answer:

  17.6 years

Step-by-step explanation:

The compound interest formula is useful for figuring this out.

  A = P(1 +r/n)^(nt) . . . . . interest r compounded n per year for t years

Filling in the given values and solving for t, we have ...

  5900 = 2000(1 +.0625/2)^(2t)

  2.95 = 1.03125^(2t) . . . . divide by 2000, simplify

  log(2.95) = 2t×log(1.03125) . . . . take logarithms

  t = log(2.95)/(2×log(1.03125) . . . . divide by the coefficient of t

  t ≈ 17.6

The person must leave the money in the bank for 17.6 years.


Related Questions

If x = -2, then x^2-7x+10 equals
0
20
28

Answers

Answer:

28

Step-by-step explanation:

Substitute x = - 2 into the expression, that is

(- 2)² - 7(- 2) + 10 = 4 + 14 + 10 = 28

Divide. Give the quotient and the remainder

303÷4​

Answers

75 is the quotient, 3 is the remainder
75 the remainder is 3

4y+36=128 solve the equation

Answers

Answer:

128÷ 36=92

92÷ 4=23

y=23

Scores on the GRE are normally distributed with a mean of 514 and a standard deviation of 92. Use the 68-95-99.7 rule to find the percentage of people taking the test who score above 698.
The percentage of people taking the test who are above 698 is ___%

Answers

Answer:

2.5%

Step-by-step explanation:

The percentage of people taking the test who are above 698 is ___%

Empirical rule formula states:

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the question, we have:

Mean of 514 and a Standard deviation of 92

Hence:

μ ± xσ

514 ± 92x = 698

514 + 92x = 698

92x = 698 - 514

92x = 184

x = 184/92

x = 2

Hence, the data is correct and it is 2 standard deviation from the mean. Therefore, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

The question is asking us to find the percentage of people taking the test who are above 698 is calculated as:

100 - 95% /2

= 5/2

= 2.5%

The percentage of people taking the test who are above 698 is 2.5%

Solve the two-step equation 5x + 6 = 26

A. x = 6

B. x = 5

C. x = 32/5

D.None of the above

Answers

Answer:

D none of the above becuz x=4

Answer:

D

Step-by-step explanation:

May I know this answer

Answers

I think it’s C but I may be wrong

is 350 and 180 equivalent

Answers

Answer:

no

Step-by-step explanation:

Answer:

Both of them have a bit of same factors and both are composite so they are not really

Step-by-step explanation:

Select all the equations that have the same solution as 2x - 5 = 15
A
2x = 10
B
2x = 20
C С
2(x - 5) = 15
D
2x - 20 = 0
E
43 - 10 = 30
F 15 = 5 – 22

Answers

Answer:

Step-by-step explanation:

2x - 5 = 15

Bringing like terms on one side

2x = 15 + 5

2x = 20

Option B is the correct answer

Answer:

b) 2x = 20

c) 2(x - 5) = 15

D) 2x - 20 = 0

Explanation

2x - 5 = 15

2x = 15 + 5

2x = 20

x= 20/2

x= 10

a) 2x = 10

x= 10/2

x= 5 (which is not correct)

b) 2x = 20

x= 20/2

x = 10 (which is correct )

c) 2(x- 5) = 15

2x - 10 = 15.

2x = 15 +10

2x = 20

x = 20/2

x= 10 ( which is correct)

d) 2x - 20 = 0

2x = 20

x= 20/2

x= 10 ( which is correct)

what is the slope of the line that contains these points (31,10)(36,7)(41,4)(46,1)

Answers

Slope: (y2-y1)/(x2-x1)
Pick two points
(7-10)/(36-31) = -3/5
The slope is -3/5

Amy loaned \$5$5dollar sign, 5 to each of 202020 people. She recorded each loan by writing -\$5−$5minus, dollar sign, 5 in her bank book.What is the total change in the amount of money Amy had before the loans?

Answers

Answer:

-30

Step-by-step explanation:

Answer:

its actually -100 in khan academy

Step-by-step explanation:

The art teacher buys containers to store 1,314 colored pencils. Each container holds 18 pencils. How many containers does the art teacher need to store all the colored pencils?​

Answers

Answer:

The art teacher needs 73 containers to store all the colored pencils.  

Step-by-step explanation:

1,314 colored pencils ÷ 18 pencils per container = 73 containers total

The number of containers the art teacher need to store all the colored pencils is 73.

Given that, the art teacher buys containers to store 1,314 colored pencils.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, each container holds 18 pencils.

Number of containers = Total number of pencils/Number of pencils in each container

= 1314/18

= 73

Therefore, the number of containers the art teacher need to store all the colored pencils is 73.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ5

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answers

Answer:

the product does not exits

The product matrix is,

[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]

What is matrix?

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

For example, is a matrix with two rows and three columns.

here, we have,

two matrices,

A = 2×3

and, B= 3×2,

as the no. of column of A = the no. of row of B

the can be a product matrix of order 2×2.

Now, we get,

the product matrix is,

[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]

To learn more on matrix click:

https://brainly.com/question/28180105

#SPJ2

In a random sample of 300 people in a town, 193 were female. What is the sample portion of female

Answers

The answer is 107.
You subtract 300-193

what is the slope of (-2,4) and (-2,-4)

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

m = (change in y) / (change in x) = 8/0:  undefined

Step-by-step explanation:

Note that the x-coordinate of both given points is the same:  -2.  This means that x does not change and also that y changes from -4 to 4.  The slope is undefined because division by zero is not defined:

m = (change in y) / (change in x) = 8/0:  undefined

For every 72 students there are 16 females. If there are 4 females, about how many students are there?

Answers

Answer:

14 im pertty sure

Step-by-step explanation:

2(x-3)+5>39






Thanks!!!!!!!!!!!

Answers

Answer:

x > 20

:) hope this helps

Yasmine needs to create invitations for the party she has 3/4 of an hour to make the invitations it takes her 1/12 of an hour to make each card how many invitations can Yasmine create?

Answers

9 cards, since 3/4 of time is 75%
and 75% of 12 is 9, we can assume that she can make 9 invitations with her 3/4 of an hour

Answer:

Yasmine can make 9 invitations.

Step-by-step explanation:

[tex]\frac{\frac{3}{4} }{\frac{1}{12} }=\frac{36}{4}=9[/tex]

two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

Answers

Most likely 1/4, (25%)

Sorry if I’m wrong, hope this helped
Explanation: In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36. n(E) = 27.

What 23 divided by 34

Answers

Answer: 0.6764705882

Step-by-step explanation:

Factoring trinomials and difference of squares. I need to understand the steps.

Answers

Answer:

Factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]

Step-by-step explanation:

We need to solve the polynomial: [tex]3x^2-75[/tex]

First we see that 3 is common term, so taking 3 as common

[tex]3(x^2-25)[/tex]

We know that 25 = 5x5 = 5²

So, replacing 25 with 5²

[tex]3(x^2-5^2)[/tex]

We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]

Applying this in our equation: [tex]x^2-5^2=(x+5)(x-5)[/tex]

[tex]3(x+5)(x-5)[/tex]

So, factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]

what is 1/3x +26 = 23 equal? please help thank you.

Answers

Answer:

x= -9

Step-by-step explanation:

Sam's skateboard Shack rents skateboards for $12 per hour plus a nonrefundable fee of $10. Which equation can be used to find the y, the amount of dollars it would cost to rent a skateboard for x hours?

A. y= (12+10)x
B. y= 10x+12
C. y= 12x-10
D. y= 12x+10​

Answers

Answer:

The Answer is D

Step-by-step explanation:

12x + 10

Help don’t understand

Answers

(-2 1/2, -7) Quadrant 3
(0,6)Y axis
X axis (-5,0)
Oop

What kind of graph is this ?
A. Positive
B. Negative
C. Undefined
D. Zero

Answers

Answer:

B. negative

Step-by-step explanation:

it is on the negative side of the graph

Answer:

C.

Step-by-step explanation:

its c, undefined. remember that zero will be horizontal and undefined will be vertical like in this picture. hope this helped

Primitive function for:

1. f(x)=4e2x+e−x, sådan att F(0)=2

Answers

The primitive function for [tex]f(x) = 4e^{2x} + e^{-x}[/tex] is given by it's indefinite integral.

To calculate it, recall:

[tex]\frac{d}{dx}e^{ax}=ae^{ax}[/tex]

[tex]\int c f(x)dx = c\int f(x)dx[/tex]

Let's begin

[tex]\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\[/tex]

[tex]F(x) = 2e^{2x}-e^{-x} +c[/tex]

To find the costant, we just need to use the fact that [tex]F(0)=2[/tex]

[tex]F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3[/tex]

Therefore,

[tex]\boxed{F(x) = 2e^{2x} - e^{-x} -3 }[/tex]

Round 0.93 to the nearest tenth.

Answers

0.9, you round don’t since the hundredths is less than 5

Answer:

the answer would be 0.9

Step-by-step explanation:

when rounding anything under 5 remains the same and anything over 5 rounds up to the next number. in this case three is less than five so the 9 would remain the same

Find the rate, write an equation to represent the relationship, and then solve the problem. Include all three parts in your answer.

Ana scores 33 points in 3 basketball games. If she continues at the same rate, how many points will she score in 5 basketball games?
asap asap asap asap asap asap asap asap asap asap asap asap asap

Answers

Answer:

55 points

Step-by-step explanation:

If she scored 33 points in 3 games then she is scoring 11 points per game. If you multiply 11 and 5 you will get 55

Answer:

its pretty easy do it urself

Step-by-step explanation:

u just divided and mutiply

problem 1. 2/8-2/4+8/16
problem 2. 8/16-1/4+8/16

Answers

Answer:

1: 4/16 or simplified to 1/4

2: 12/16 or simplified to 3/4

Step-by-step explanation:

Hope this helps

Select the correct answer.
What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?

selling price = original cost + markup value

A.
$509.95
B.
$831.57
C.
$835.49

Answers

C is the answer. 784.5 + 6.5%(784.5) = 835.49

Answer:

C.) $835.49

(For plato users)

What is the y coordinate in the solution for the system of linear equations 5x-2y=4, 3x-4y=-6

Answers

y =3

After you set each equation to terms where you can cancel out the x

you are left with:

14y = 42

y = 3

** sorry

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