MATHEMATICS COLLEGE

a sum of 1000 invested at an jntrest rate 12% per year. Find the amounts in the account after 3 years if intrest is compounded annualy, semiannually, quarerterly, monthly, and daily.

Answers

Answer 1

Answer:

Given Information:

Annual interest rate = r = 12%

Principal amount = P = $1000

Number of years = t = 3

Required Information

Accumulated amount = A = ?

Answer:

Annual compounding = A = $1404.93

Semi-annuall compounding = A = $1418.52

Quarterly compounding = A = $1425.76

Monthly compounding = A = $1432.30

Daily compounding = A = $1433.14

Step-by-step explanation:

The accumulated amounts in terms of compound interest is given by

$A = P(1 + i)^N$

Where P is the initial amount invested and A is the accumulated amount.

For annual compounding:

i = 0.12

N = 3

$A = 1000(1 + 0.12)^3 \n\nA = \$ 1404.93$

For semiannually compounding:

i = 0.12/2 = 0.06

N = 2*3 = 6

$A = 1000(1 + 0.06)^6 \n\nA = \$ 1418.52$

For quarerterly compounding:

i = 0.12/4 = 0.03

N = 4*3 = 12

$A = 1000(1 + 0.03)^12 \n\nA = \$ 1425.76$

For monthly compounding:

i = 0.12/30 = 0.004

N = 30*3 = 90

$A = 1000(1 + 0.004)^90 \n\nA = \$ 1432.30$

For daily compounding:

i = 0.12/365 = 0.0003287

N = 365*3 = 1095

$A = 1000(1 + 0.0003287)^1095 \n\nA = \$ 1433.14$

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Jenny has 1 stamp to begin her collection. She then collects 7 stamps per day. Let y represent the total amount of stamps in Jenny'scollection after x days.

Express the equation in the form of y=mx+b
Enter your answer in the box
PLS HELP!!!

Answers

Answer:

y=7x+1

Step-by-step explanation:

Linear modeling

Consists of finding a linear equation that represents a situation in real life.

Jenny starts her stamps collection with only 1 stamp.

Then she collects 7 stamps per day.

Let's call

y=total amount of stamps in Jenny's collection

x=number of days

Knowing Jenny collects 7 stamps per day, then in x days, she collects 7x stamps. The total amount can be obtained by adding the first stamp she had. Thus, the model is:

y=7x+1

Answer:

Was it correct??? y=7x+1 is that correct or wrong?

Step-by-step explanation:

Suppose you wanted to estimate the difference between two population means correct to within 4.8 at the 92% confidence level. If prior information suggests that both population variances are approximately equal to 12 and you want to select independent random samples of equal size from the populations, how large should the sample sizes be?Critical Value: 1.75
The sample sizes should be: n1=___n2=_____?

Answers

Answer: $n_1=n_2=4$

Step-by-step explanation:

Given : Margin of error : E= 4.8

Confidence level : 92%

Significance level : $1-0.92=0.08$

$\sigma_1^2=\sigma_1^2\approx12$

Two-tailed critical value :-

$z_(\alpha/2)=z_(0.08/2)=z_(0.04)=1.75$

If we want to select independent random samples of equal size from the populations,

Formula for the sample size :

$n_1=n_2=((z_(\alpha/2))/(E))^2(\sigma_1^2+\sigma_2^2)$

Then buy using given values , we have

$n_1=n_2=((1.75)/(4.8))^2(12+12)$

Simplify ,

$n_1=n_2=((1.75)/(4.8))^2(12+12)=3.190\approx4$ [Round to the next integer.]

Hence, the The sample sizes should be: $n_1=n_2=4$

Write the expanded form 0.45 in this way using fractions and using decimals

Answers

Using fractions, 0.45 can be written as $(3)/(10)$ + $(3)/(20)$ . Using decimals, 0.45 can be written in the form as 0.30 + 0.15.

What is Decimal Numbers?

Decimal number system is applicable for both integers as well as non integers. Decimal number include a whole number part and a decimal part separated using decimal point.

Fractions are the numbers which are part of a whole.

All decimal numbers can be written as fractions and fractions can be written in the form of decimal numbers.

The given number is 0.45.

0.45 can be written as $(45)/(100)$ .

$(45)/(100)$ can be expanded in various ways like (40 + 5)/100, (42 + 3)/100 and so on.

$(45)/(100)$ can be written in one of the form as $(30)/(100)$ + $(15)/(100)$ .

When simplified, $(30)/(100)$ simplified to $(3)/(10)$ and $(15)/(100)$ simplified to $(3)/(20)$ .

So 0.45 = $(3)/(10)$ + $(3)/(20)$ .

Now, in the decimal form, $(3)/(10)$ = 0.3 and $(3)/(20)$ = 0.15

So, 0.45 = 0.3 + 0.15

Hence 0.45 can be expanded in the fractional form as $(3)/(10)$ + $(3)/(20)$ and in the decimal form as 0.3 + 0.15.

To learn more about Decimals, click :

brainly.com/question/29765582

#SPJ2

Answer:

0.4 + 0.05= 0.45

FRACTION FORM:

4/10+ 5/100= 0.45

Step-by-step explanation:

Hope this helps!! Tell me if I'm wrong! :)

Which expressions are equivalent to 6 +(-x) + 2x + (-7)+ 2x? Check all that apply.
x + x + 6 - 7 + x
2x+2+x
3- X + 2x - 4 + 2x
X-1
X+1

Answers

Answer:

a and c

Step-by-step explanation:

Answer:

A- x + x + 6 – 7 + x

C- 3 – x + 2x – 4 + 2x

Step-by-step explanation:

EDG2021

(2x - y + 3) (2x - y - 3)using identities

Answers

Step-by-step explanation:

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N - 4 = 3n + 6 Yikesss

Answers

Answer: n=-5

Step-by-step explanation:

Answer:

N=-5

Step-by-step explanation:

N - 4 = 3n + 6

Add 4 to both sides

n-4+4=3n+6+4

Simplify

n=3n+10

subtract 3n from both sides

n-3n=3n+10-3n

Simplify

-2n=10

Divide -2 from both sides

-2n/-2=10/-2

Simplify

n=-5

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