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Javier deposited $250 into a savings account with an interest rate of 1.6%. He made no deposits or withdrawals for 9 months. If interest was compounded annually, which
equation represents the balance in the account after 9 months?
A = 250(1 -0.016)^9
A = 250(1 +0.0016)^9
A = 250(1 +0.016)^0.75
A = 250(1 -0.016)^0.75

The answer is the third equation. A = 250*(1 +0.016)^(0.75)

Step-by-step explanation:

Since Javier deposited $250 into an account with annual interest rate, then as the years passes his account will grow in the manner shown below:

account(0) = 250

account(1) = account(0)*(1 + 1.6/100) = account(0)*(1 + 0.016) = account(0)*1.016

account(2) = account(1)*1.016 = account(0)*1.016*1.016 = account(0)*(1.016)²

account(3) = account(2)*1.016 = account(0)*(1.016)²*1.016 = account(0)*(1.016)³

account(n) = account(0)*(1.016)^n

Where n is the number of years, account(0) is the initial amount. In this case only 9 months have passed, so we need to convert this value to years, dividing it by 12, which is 9/12 = 0.75. The initial amount was 250, so the equation is:

A = 250*(1.016)^(0.75)

The answer is the third equation.

Step-by-step explanation:

The equation that represents the balance is expressed using the formula

A is the amount after 9 months

P is the principal (amount deposited)

r is the interest rate

n is the time

Given P = $250, r = 1.6% = 0.0016, t = (months converted to years)

Substituting the values into the formula we have;

This gives the required answer

three-fourths of an hour

36÷48=0.75

0.75=

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;