Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
a. compounded semiannually
b. compounded quarterly
c. compounded monthly
d. compounded continuously.

---Round answers to nearest cent

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Given:

Investment P = $20000Time t = 7 yearsInterest rate r = 5.5% = 0.055

a. compounded semiannually, n = 2

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88[/tex]

b. compounded quarterly, n = 4

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30[/tex]

c. compounded monthly, n = 12

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44[/tex]

d. compounded continuously

[tex]A = Pe^{rt}=20000*e^{0.055*7}=29392.29[/tex]

Related Questions

Lannie has 5/12 cups of chocolate chips. She needs 1/34 cups to make one batch of chocolate chip cookies. How many batches of chocolate chip cookies can she make?

Answers

Answer:

14 batches

Step-by-step explanation:

take 5/12 and 1/34 and find the lowest common factor (204) mult 5/12 by 17

85/204 and 1/34 by 6 is 6/204 figure out how many times 6 goes into 85 about 14.17

so 14 full batches

Given that the function graphed is ƒ(x), what is ƒ(1)?
A) −2
B) −1
C) 1
D) 2

Answers

Answer: -2

Step-by-step explanation:

If you have 1/4 of a pie left and you give away 5/8 how much pie do you have left

Answers

Answer:

You cannot give away more than you have. You have no pie left.

Step-by-step explanation:

1/4 - 5/8

Multiply 1/4 by 2 to get a common denominator in order to subtract.

2/8 - 5/8

= -3/8

You can't have -3/8 of a pie.

Therefore, you have no pie left.

Can someone help me understand this and give me the answer?

Answers

the answer is 5gh it is regular subtraction but with the letters next to them its an expression with letter basically

solve pls brainliest

Answers

Answer:

17.8 is the answer

Step-by-step explanation:

89/5 (the improper fraction of 17 4/5) divided is 17.8

Answer:

first method :

⅘ in decimal is 0.8 (4/5 = 8/10 = 0.8)

17 + 0.8 = 17.8

(this is the easiest method of doing this)

second method :

(17 × 5 + 4)/5

= 89/5

and dividing this u get 17.8

(but this is a lengthy method, as it will take time to devide)

Step-by-step explanation:

brainliest plz

help me asp HELPPPPPPPPP ME

Answers

Answer:

C is the answer

Step-by-step explanation:

Because he have most tresures.

Answer: deep diving dan

Step-by-step explanation: he dived 26 times and found 104 treasure boxes

5−1/4x=15−14/x helppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

x=-41.354157 or x=1.354157

Answer:

x = -2(10 + √114)  ,  x = 2(-10 + √114)

Step-by-step explanation:

5 − 1/4x = 15 − 14/x

-5             -5

----------------------------

-1/4x = 10 - 14/x

*4x           *4x

-----------------------------

-x^2 = -56 + 40x

-----------------------------

x = -2(10 + √114) , x = 2(-10 + √114)

Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.

Test the claim that the mean lifetime of a particular car engine is greater than 220,000 miles. Sample data are summarized as n = 23, x-bar = 226,450 and s=11,500. Use a significance level of 5%. Determine the p-value.


0.993


0.007


0.05


0.018


0.004

Answers

Using the t-distribution, it is found that the p-value of the test is 0.007.

At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:

[tex]H_0: \mu \leq 220000[/tex]

At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:

[tex]H_1: \mu > 220000[/tex].

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

For this problem:

[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]

Then, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]

[tex]t = 2.69[/tex]

We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.

Using a t-distribution calculator, the p-value of the test is of 0.007.

A similar problem is given at https://brainly.com/question/13873630

Decide whether the relation defines y as a function of x. Give the domain and range.
x+y<14

Answers

Answer:

i think it is like this.                                      < means less than                                                                  

Step-by-step explanation:

let x be a and let y be any number less than 14.

a + 5 < 14

a + 5 < 14

a + 5-5 < 14-5

a + 0   <  9

a < 9

The grocery store is having a sale on frozen vegetables. 3 bags are being sold for $10.35. At this rate, what is the cost of 7 bags?

Answers

Answer:

24.15

Step-by-step explanation:

10.35 x 2 = 20.7 But you still need 1 bag 1/3 of 10.35 =  3.45 Add all of them up = 24.15

5) Add using Place-Value diagrams: 215 six + 43 six

Answers

As I understand, we want to perform the given sum by adding the correspondent place values.

Using this method, we will see that the value of the sum is 258.

First, we define the place values as the value that each "position" has, where the reference is the decimal point.

The first place at the left of the decimal points is the units digit.

The second is the tens digit, and so on.

With this, we can rewrite te twi given numbers as:

215 = 2*100 + 1*10 + 5*143 = 4*10 + 3*1

Then the sum can be done as:

215 + 43

(2*100 + 1*10 + 5*1) + ( 4*10 + 3*1)

2*100 + (1 + 4)*10 + (5 + 3)*1

2*100 + 5*10 + 8*1 = 258

Then we have:

215 + 43 =  258

If you want to learn more, you can read:

https://brainly.com/question/1858248

the flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the of the third angle of the triangle is 40° more than three times the measure of either of the other two angles, find the measure of each the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)​

Answers

The two equal angles are each 36°.

The third angle is 108°.

If a sum invested gains 10% each year how long will it be before it has doubled its
value?

Answers

Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.

The equation for an increasing exponential function is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial amount.r is the growth rate, as a decimal.

In this problem:

Gains 10% each year, thus [tex]r = 0.1[/tex].

The doubling time is t for which [tex]A(t) = 2A(0)[/tex], then:

[tex]A(t) = A(0)(1.1)^t[/tex]

[tex]2A(0) = A(0)(1.1)^t[/tex]

[tex](1.1)^t = 2[/tex]

[tex]\log{(1.1)^t} = \log{2}[/tex]

[tex]t\log{1.1} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.1}}[/tex]

[tex]t = 7.3[/tex]

It will be 7.3 years before the value is doubled.

A similar problem is given at https://brainly.com/question/23008760

Which of the following are perfect squares? 2, 4, 6, 16, 20,25, x², x³, x¹⁵, x²⁰, x²⁵

Answers

Answer:

4, 16, 25, [tex]x^{2}[/tex], [tex]x^{20}\\[/tex].

Step-by-step explanation:

Answer:

16, 4, 25, x², x ²⁰

. . . . . . . .

Help please :) will give brainliest if the answer is right

Answers

Answer:

(A) D.

(B) Cosh(-x)= e^-x+e^x

                            2

and the last box on the bottom would be 2

Step-by-step explanation:

Write an explanation to a friend about how you
would estimate 17 1/5 / 3 4/5.

Answers

Answer:

67/5

Step-by-step explanation:

17 1/5

17x5= 85 + 1= 86/5

3 4/5

3x5=15+4= 19/5

86/5 - 19/5=

86-19= 67/5

hope this helps!

Is triangle RWS triangle QWT

Answers

Answer:

Try it as a RWS triangle

Pls help I’ll brainlest

Answers

The cat is not hungry, or doesn't like the can of tuna food, which is why they refused to eat it when it was given to them.

Try to give the cat the food again and see their reaction, if that fails, try to give the cat other foods and note the reaction to determine if the cat just doesn't like the tuna in a can or just wasn't hungry at the moment.

A parking pass is $60 for a month or $5 for a day. At what point would it make more sense to purchase the monthly pass?

Answers

it would make more sense to purchase the monthly pass at the middle of second week because if it’s $5 per day for seven days it would be $35 per week. therefore, by the middle of the week it would already $60.

Estimate and then solve 3397÷59

Answers

Estimated:

3397 round down to 3300
59 round up to 60

3300 / 60 = 55

Solved :

3397/59 = 57.5762712
Teh answer is 57 taht is teh answer

A package of 3 pairs of insulated gloves costs ​$16.47. What is the unit price of the pairs of gloves​?

Answers

Answer:

$5.49 per pair of gloves

Step-by-step explanation:

16.47/3=5.49

Answer:

do 16.47 divided by 3  and thats ur answer

Step-by-step explanation:

the answer is $5.49  for 1 pair of gloves

Given: ΔABC ≅ ΔMNP. What is the corresponding angle to ∠A A. ∠B B. ∠N C. ∠M D. ∠P

Answers

Answer:

C. ∠M

Step-by-step explanation:

Answer:

C. < M

Step-by-step explanation:

Congruent triangle notations are written in order of their corresponding parts.

For ΔABC ≅ ΔMNP we have angle A corresponding to angle M

Δ A B C ≅

  ↓  ↓  ↓

Δ M N P

whats 10x2= n nnn nnnnnnn

Answers

Answer:

20

Step-by-step explanation:

10 x 1 = 10. 10 x 2 = 20.

Answer:

20

Step-by-step explanation:

10 x 1 = 10

Then, 10 x 2 = 20

Help me please (I have to write something to send a question)​

Answers

Answer:

1. This helps me to know if the answer of an opposite integer will be positive or negative by simply subtracting their absolute values then put the sign of the largest absolute value between the two.

2. By identifying first the largest absolute value of the two integers that are being add up. Without, calculations, i will know the sign of the sum.

3. the picture attached is the answer

Step-by-step explanation:

hope it will help you

What is the product of 14.5×100

Answers

Answer:

1450

Step-by-step explanation:

Any number times 10 goes up one value.

ones become tens, and tens become hundreds etc..

87x10=870

And a number times 100 goes up two values.

23.5x100= 2350

hope this helped ;)

Step-by-step explanation:

you don't have a calculator ? with that you would have gotten the answer immediately.

so you had to write the question in here, need to wait for an answer, ...

but actually, this is very easy to solve even without a calculator, as this is how our decimal numbers work : based on powers of 10.

multiplying by 100 moves the decimal point 2 positions to the right (and fill up with zeros where necessary) :

14.5 × 100 = 1450

a multiplication by 10 moves the decimal point 1 position to the right.

a multiplication with 1000 3 positions to the right. and so on.

a division by 100 moves the decimal point 2 positions to the left (and fill up with zeros where necessary). and so on.

I have to write something here to send a question)​

Answers

Answer:

how many children do you have?

Step-by-step explanation:

you said ask a question

I mark brainliest!! fill the table using the function rule, y=-10x+3

Answers

The answers are
13
3
-7
-47

OMG I NEED HELP BADLY RN


In which quadrant does the point (3 , 19) lie?

A.
Quadrant I

B.
Quadrant II

C.
Quadrant IV

D.
Quadrant III

Answers

Answer:

Quadrant I

Step-by-step explanation:

There are four quadrants that go like this.

Quadrant I = Top Right

Quadrant II = Top Left

Qudrant III = Bottom Left

Quadrant IV = Bottom Right

As long as you can graph an equation you just need to remember the quadrants.

A drilling machine can drill 12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill
holes in 25 minutes. HELPPP

Answers

Answer:

The machine can drill 50 holes in 25 minutes!

Explanation:  

6 by 4 is 24, which in this context will be 24 minutes. Therefore, multiply 12 by 4 to get the sum of 48. Then, to find the remaining 1 minute, divide 12 by 6 to get 2 which is the amount of holes per minute. Add 2 to 48 and that is your answer!  

A penny weighs 0.8oz A stack of 20 pennies is 4.3cm in theory, how tall is a stack on 1 ton of pennies?

Answers

16 oz = 1 lb
0.8 oz = 0.05 lb = 1 penny

1 ton = 2000 lbs

2000 x 20 = 40,000 pennies (in theory)

Answer:

Step-by-step explanation:

16 oz = 1 lb0.8 oz = 0.05 lb = 1 penny1 ton = 2000 lbs2000 x 20 = 40,000 pennies its all about conversions

#SPJ2

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