A person invests 3000 dollars in a bank. The bank pays 4.25% 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 5600 dollars?

Answers

Answer 1

Answer:

The person must leave the money for approximately 14.8 years.

Step-by-step explanation:

This can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n …………………………………. (1)

Where;

FV = Future value of the investment = 5600

PV = Present value of the investment = 3000

r = semiannual interest rate = 4.25% / 2 = 0.0425 / 2 = 0.02125

n = number of semiannuals = ?

Substitute the values into equation (1) and solve for n, we have:

5600 = 3000 * (1 + 0.02125)^n

5600 / 3000 = 1.02125^n

1.02125^n = 1.86666666666667

Loglinearizing both sides, we have:

nlog1.02125 = log1.86666666666667

n = log1.86666666666667 / log1.02125

n = 0.271066772286539 / 0.0091320695404719

n = 29.6829509548973

Since n is number of semiannuals, we divide the answer by 2 obtain the number of years as follows:

Number of years = 29.6829509548973 / 2 = 14.8414754774487

Rounding to the nearest tenth of year, we have:

Number of years = 14.8

Therefore, the person must leave the money for approximately 14.8 years.


Related Questions

I need help math plz help​

Answers

Answer:

this question makes no sense because it says he fills boxes that hold 9 muffins but how many large boxes does he have that's the real question

but what im thinking is if he fills large boxes with muffins and the large boxes hold 9 then if u divide 88/9 u get 9.78 so

ANSWER: about 10 muffins and if im wrong my bad

Please help! I need this asap! If you know the answer please help. If you don't thats ok. Just move on. If you have any questions comment, dont answer the question. Thank you!!

Answers

x=12 perimeter=58

There's a step by step in the pictures, I thought it might be easier

Plz can I get some help thank u sm

Answers

Step-by-step explanation:

The sum of two opposite interior angles equals an exterior angle

50+?=115

?=115-50=65°

Answer:

60 degrees

Step-by-step explanation:

angles on a straight line add up to 180 degrees.

so do 180-115=60

because its an equilateral triangle, you can check whether it adds up to 180

60+60+50=180

please mark me as brainliest!!<3

Please help! 20 points and Brain liest if answered correctly

Answers

Answer:

-5,4

Step-by-step explanation:

Answer:

y=3/4x-5

Step-by-step explanation:

look at the image I attached

The mean length of 10 childrens' big finger is 8.1cm.
The mean length of 11 adults' big finger is 14.1cm.
What is the mean length (rounded to 2 DP) of these 21 people's big finger?​

Answers

Answer:

The mean length of 10 children's big finger is 8.1 cm

Average length of all the 10 children's finger is (8.1×10) cm = 81 cm.

The mean length of 11 adult's big finger is 14.1 cm

Average length of all the 11 adult's big finger is (14.1×11) cm =155.1

Mean length of these 21 people's big finger is[tex] \frac{(81 + 155.1)}{21} = 11.242857[/tex]Hence, 11.24 is the right answer.

An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge.

16 ounces = 1 pound. 2,000 pounds = 1 ton.

If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton?

8,000 ounces on the model is equal to
ounces on the actual bridge.
Convert ounces to pounds. The actual bridge can hold
pounds.
Therefore, the bridge
hold 1 ton.

Answers

Answer:

the bridge holds one ton. on Edgunuity

Step-by-step explanation:     <3

Answer: first one is 32000 the second one is 2000 and the third one Is  it will hold 1 ton

100 points, questions on the picture

Answers

Answer:

Step-by-step explanation:

22a)  width = 3x-1

2(3x-1)

6x-2 = length

22b)  P =  2* length + 2* width

P= 2(6x-2) +2(3x-1)

P= 12x -4  +6x-2 ;   18x-6

22c) P =  18(5)-6

P = 84 cm

Answer:

84cm

Step-by-step explanation:

How many years will it take for $20,000 to earn $7,000 in interest if placed in an account that earns 2.09% simple interest?

Answers

Answer:

16.7 years

Step-by-step explanation:


Please please help please please

Answers

Answer:

75

Step-by-step explanation:

With reference angle 53°

base (b) = 45

hypotenuse (h) = K

Now

cos 53° = b / h

0.6 = 45 / K

K = 45 / 0.6

K = 75

When 80 is decreased by 15%, the new number is

Answers

Answer:68

Step-by-step explanation:

Percentage decrease = 15% × 80

New value =

80 - Percentage decrease =

80 - (15% × 80) =

80 - 15% × 80 =

(1 - 15%) × 80 =

(100% - 15%) × 80 =

85% × 80 =

85 ÷ 100 × 80 =

85 × 80 ÷ 100 =

6,800 ÷ 100 =

68

D. the area of the interior square in step 2 is equal to c² + ab.

I'll give u brainly if u right​

Answers

Answer:

I think it is C

Step-by-step explanation:

The first two options are correct. The third one is false.

Consider the rectangle enlargement. Pls answer the three questions I will mark brainliest!!

Answers

Answer:

Perimeter of the original Rectangle is

2(4.5+4.3)=2×8.8= 17.6 mm

Side length of the enlarged rectangle is

[tex] \frac{4.5}{4.3} = \frac{24.3}{x} \\ x = \frac{24.3 \times 4.3}{4.5} \\ \boxed{x = 23.22 \: mm}[/tex]

Perimeter of the enlarged rectangle

2(24.3+23.22)= 2×47.52= 95.04 mm

A painter leans a 30 foot ladder against one wall of a house. At what height
does the ladder touch the wall if the foot of the ladder is 10 feet from the base
of the wall?

Answers

Answer:

20ft

Step-by-step explanation:

The height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Consider the diagram below.

We've got:

Length of the ladder = |AC| = 30 ftDistance between ladder's bottom and base of wall = |BC| = 10 ftHeight of wall from base to the point where ladder touches = |AB| is to be known.

The wall is usually perpendicular to ground, therefore making 90° angle with it. Thus, ABC is a right angled triangle.

Using Pythagoras theorem in it, we get:

[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\30^2 = |AB|^2 + 10^2\\|AB|^2 = 900 - 100\\\\|AB|^2 = 800\\\\\text{Taking sq. root of both the sides}\\\\|AB| = \sqrt{800} = \sqrt{ (\pm 20\sqrt{2})^2}\\\\|AB| = \pm 20\sqrt{2} \: \rm ft[/tex]

But as length cannot be a negative quantity, so we get:

[tex]|AB| = 20\sqrt{2} \: \rm ft[/tex]

Thus, the height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

#SPJ2

The table in part C did not have a row for 100. Look at the values of other powers of 10 in the table. Given the pattern of the values, what would the value of 100 be?

Answers

Answer: 10

Step-by-step explanation:

Answer:

its 1 I did it and the edmentum answer says its 1

Please help me due today

Answers

There are 11 cows and 6 chickens.

its all on the picture.

Answers

Answer:

B!

Step-by-step explanation:

By the way, you named this as Mathematics... This is science but, the answer is B.  

Answer:

Water carbon dioxide and oxygen.

Step-by-step explanation:

Its all in the picture. It labels the substances used in the cycle.

how to multiply decimals when not using models​

Answers

Answer:

You multiply it like normal numbers. But when you do, count how many numbers are behind the decimal, say there are 2 numbers behind the decimal, once you finished multiplying the numbers you would add up all the products you got and then put the first 4 numbers you wrote behind the decimal to get the final product.

Step-by-step explanation:

Say you were multiplying 14.63 and 7.74

                 

                   14.63

                   x 7.74                 Always starting from the right side of the equation

                   .5852                go to the left four digits and put a decimal then                  

                  ↑←←←←                just carry the decimal down and you'll  end up with  

                 10.2410              the final product

            + 102.4100                

               113.2362

2. A large appliance company estimates that the variance of the life of its appliances is 3.
You work for a consumer advocacy group and are asked to test the claim at a = 0.05.
You find that the sample of the lives of 27 appliances has a variance of 2.8.

Answers

Answer:

30

Step-by-step explanation:

Answer:

if their are choices you should list them. The givens are pretty specific though.

W = E * I is the answer

E (voltage) = W/I is a more refined answer. <<< answe

Step-by-step explanation:

What is the value of value of 5/6 ÷ 3/4?​

Answers

Answer:

answer is 10/9

:-)))☺️☺️

I hope it helps you

Answer: 1 and 1/9

Step-by-step explanation: Here, we have 5/6 ÷ 3/4.

Dividing by a fraction is the same as multiplying by its reciprocal.

In other words, we can change the division

sign to multiplication and flip the second fraction.

So here, 5/6 ÷ 3/4 can be rewritten as 5/6 × 4/3.

Now we're simply multiplying fractions so we multiply across the

numerators and multiply across the denominators.

So we have 5 × 4 which is 20 and 6 × 3 which is 18.

Notice that 20/18 is not in lowest terms so we divide the

numerator and the denominator of 20/18 by 2 to get 10/9.

If you would like, you can change this to the mixed number 1 and 1/9

by simply dividing 9 into 10 and putting the remainder over the denominator.

New Barinly is going to be KayBae2006

Answers

yes maam !!!!!!!!!!!!!!!!

WILL GIVE BRAINLIEST PLS HELP
Write each of
these ratios in
their simplest form.
A) 3:9 B) 12:36 C) 13:39 D) 71:213
E) 142:213 F)38:57 G) 33:44 H) 31:42

Answers

a) 1:3

b) 1:3

c) 1:3

d) 1:3

e) 2:3

f) 2:3

g) 3:4

h) 31:42

Step-by-step explanation:

3:9=1:3

12:36=1:3

13:39=1:3

71:213=1:3

142:213=2:3

38:57=2:3

33:44=3:4

the simplest form of 31:42 is 31:42 because 31 is prime number so we can't divide it.

Which whole number is Square root 42 close to

Answers

Answer:

√42 =  about 6.48  ....... so it's closer to 6

Step-by-step explanation:

Answer: 6 because you would have to round it off

Step-by-step explanation:

Help!!! il give brainlist​

Answers

Hours || earning
1 || 20
2 || 40
3 ||60
The rate of change is the slope
Slope is 20
If you were to write this as an equation it would basically be y=20x

The screen is 9 feet tall and the string is 15 feet long. If x is the distance, in feet, along the ground from the stake to the screen, what is the value of x ? Enter the value of x in the box.

Answers

Answer:

c

Step-by-step explanation:

Carter has a fruit stand. In the morning, he has 2512 pounds of peaches. He sells bags of peaches that each weigh 112 pounds. He will restock when he has less than 3 pounds of peaches left. Which solution represents how many bags of peaches, b, Carter will sell before he restocks?

Answers

Answer:

22

Step-by-step explanation:

Divide 2512/112

Translate the phrase twice m increased by 2 is equal to 7 more then m
pls show your work plss
thx
A. m/2 + 2 = 7 + m
B. 2m + 2 = 7 + m
C. 2m + 2 = m + 7
D. 2m * 2 = m + 7

Answers

D       :)

bye sis see you today

HELP PLEASE (i will give brainliest!)​

Answers

AGF:55
BGC: 35
CGD: 55
EGD: 90

Determine if the triangles are congruent. If yes, by which theorem?
no
O yes, SSS
O yes, SAS
O yes, ASA
O yes, AAS
O yes, HL

Answers

yes SAS. the angles are 2 and the sides are marked



I KNOW THIS IS KIND OF ALOT BUT PLEASE HELP
Billy and Tom are out to dinner. Their bill comes to a total of $100. They have a 15% off coupon but tax and tip must also be included. The tax is 6% and is applied before the 20% tip. If Billy and Tom want to split the bill, how much will they each have to pay?

1. How much is their bill after the coupon has been applied?
2. With the coupon applied, what is their new total (including the tax)?
3. With their new total, Billy and Tom can now determine the tip for their server. What is the final total, including the tip?
4. What will Billy and Tom each have to pay to split the bill evenly?

Please answer labeled with numbers! thankyou!

Answers

Answer:

1. $85

2. $90.10

3.$108.12

4.$54.06

Step-by-step explanation:

100-15=85 (15% of 100 is 15)

6 percent of 85 is 5.10. So 85 + 5.10=90.10

20 percent of 90.10 is 18.02. So add that to the total. 90.10+18.02=108.12

Now divide by 2 to get how much they each will pay 108.12/2 = 54.06

i dont know how to do geometry like that and i need help on my assignment ​

Answers

Answer:

Step-by-step explanation:  Can you ask your teacher? Or no?

I’m going from left to right on answers, just so you know.
Alternate interior, vertical, alternate exterior, same side interior, same side exterior, same side interior, corresponding.
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