To solve this problem, we can use the formula for compound interest:
A = P (1 + r/n)^(nt)
where:
A = the future value of the investment
P = the principal amount (the initial deposit)
r = annual interest rate (in decimal form)
n = number of times that interest is compounded per year
t = number of years
In this case, we need to find the value of A and round it to the nearest place value. Then, we express A in the form of a×10^n, where a is a single digit.
Given:
P = $100
r = 5% or 0.05 (in decimal form)
n = 12 (compounded monthly)
t = 10 years
Substituting these values into the formula, we can calculate A:
A = 100(1 + 0.05/12)^(12*10)
A ≈ 15528.23 (rounded to the nearest place value)
Now, we need to express A = 15528.23 in the form of a×10^n, where a is a single digit. To do this, we can convert the number to scientific notation:
A = 1.552823 × 10^4
Therefore, the amount $15,528.23 can be expressed as 1.552823 × 10^4.
It takes 10 years for a $100 monthly bank deposit to amount to $15,528.23 when invested at 5% interest compounded monthly. Round to the nearest place value, then express the amount $15,528.23 in the form of a×10n
where A
is single digit.
10 answers
A SINGLE DIDGET
To express $15,528.23 in the form of a×10^n where a is a single digit, we can round the value to the nearest single digit. Since the first digit after the decimal point is 5 and the digit following it is 2, we can round down to the nearest single digit, which is 1.
Therefore, the amount $15,528.23 can be expressed as 1×10^4.
Therefore, the amount $15,528.23 can be expressed as 1×10^4.
A SINGLE
Apologies for the confusion. To express the amount $15,528.23 in the form of a×10^n where a is a single digit, we need to round it to the nearest whole value.
Rounding $15,528.23 to the nearest whole value gives us $16,000.
Therefore, the amount $15,528.23 can be expressed as 1.6×10^4.
Rounding $15,528.23 to the nearest whole value gives us $16,000.
Therefore, the amount $15,528.23 can be expressed as 1.6×10^4.
JUST ONE NUMBER NOT 34567890 JUST ONE NUMBER
Apologies for the confusion. To express the amount $15,528.23 in the form of a×10^n where a is a single digit, we need to round it to the nearest whole value.
Rounding $15,528.23 to the nearest whole value gives us $15,528.
Therefore, the amount $15,528.23 can be expressed as 2×10^4.
Rounding $15,528.23 to the nearest whole value gives us $15,528.
Therefore, the amount $15,528.23 can be expressed as 2×10^4.
ARE U SURE
Apologies for the previous incorrect response.
To express the amount $15,528.23 in the form of a×10^n where a is a single digit, we need to round it to the nearest whole value and then convert it to scientific notation.
Rounding $15,528.23 to the nearest whole value gives us $15,528.
Next, we convert $15,528 to scientific notation:
$15,528 = $1.5528 × 10^4
Therefore, the amount $15,528.23 can be expressed as 1.5528 × 10^4.
To express the amount $15,528.23 in the form of a×10^n where a is a single digit, we need to round it to the nearest whole value and then convert it to scientific notation.
Rounding $15,528.23 to the nearest whole value gives us $15,528.
Next, we convert $15,528 to scientific notation:
$15,528 = $1.5528 × 10^4
Therefore, the amount $15,528.23 can be expressed as 1.5528 × 10^4.
wrong
4 answers