When 59,527 is divided by 23, the quotient is 2,588 R ___.

Answer:

A = $ 7,449.23

A = P + I where

P (principal) = $ 5,000.00

I (interest) = $ 2,449.23

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Compound Interest Formulas and Calculations:

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r/n)^nt

Calculate Principal Amount, solve for P

P = A / (1 + r/n)^nt

Calculate rate of interest in decimal, solve for r

r = n[(A/P)(^1/nt) - 1]

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

Formulas where n = 1 (compounded once per period or unit t)

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r)^t

Calculate Principal Amount, solve for P

P = A / (1 + r)^t

Calculate rate of interest in decimal, solve for r

r = (A/P)1/t - 1

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = t = ln(A/P) / ln(1 + r) = [ ln(A) - ln(P) ] / ln(1 + r)

Continuous Compounding Formulas (n → ∞)

Calculate Accrued Amount (Principal + Interest)

A = Pe^rt

Calculate Principal Amount, solve for P

P = A / ert

Calculate rate of interest in decimal, solve for r

r = ln(A/P) / t

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / r

Final answer:

To calculate the future amount in the account after 5 years with compound interest, you can use the formula A = P(1 + r/n)^(nt). Plugging in the values, the amount in the account would be $6,803.85.

Explanation:

To calculate the future amount in the account, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

• A is the future amount
• P is the principal amount ($5000 in this case)
• r is the annual interest rate (8% in this case)
• n is the number of times the interest is compounded per year (12, since it is compounded monthly)
• t is the number of years

Plugging in the values, we get:

A = 5000(1 + 0.08/12)^(12*5)

Calculating this, we find that the amount in the account after 5 years would be $6,803.85.

Learn more about Compound Interest here:

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The pattern of the given series i.e 29,27,24,20,15,9.

Given that,

• The pattern is 29,27,24,20,15.
• Based on the above pattern we can see that the number is first decreased by 2, then 3, then 4 and so on.

Based on this, it should be like this

29-2 = 27

27 - 3 = 24

24 - 4 = 20

20 - 5 = 15

15-6 = 9

Therefore we can conclude that the pattern of the given series i.e 29,27,24,20,15,9.

Learn more: brainly.com/question/23037339

Answer:

  0.7π ≈ 2.2 inches

Step-by-step explanation:

The circumference is computed from ...

  C =  πd

Then the difference in circumferences for two different diameters is ...

  0.7π ≈ 2.2

The difference in circumference of the two lids is about 2.2 inches.

Answer

Find out the  how many plants will be in each row.

To prove

Let us assume that the number of plants in each row be x.

As given

Gavin buys 89 blue pansies and 86 yellow pansies

he will plant the flowers in 5 rows with an equal number of plants in each row.

Total number of  flowers Gavin buys = 89 + 86

                                                              = 175

The number of plants in each row

x = 35

Therefore the number of plants in each row be 35 .

The Answer is 35 because if you divide 89 by 5 it gives you 17.8 and 86 by 5 gives you 17.2. When you round 17.2 it is still 17 and 17.8 is 18. And 17+18=35

35*5=175

89+86=175