Answer:
Blank 1: 50
Blank 2: 95
Blank 3: is not
Blank 4: is not
Step-by-step explanation:
A right angle is 90 degrees, and a rectangle is a plane figure that has four straight sides and four right angles.
Answer: {4, 14, 24, 34, 44}
Step-by-step explanation:
A general number can be written as:
aₙ*10ⁿ + ... + a₂*10² + a₁*10¹ + a₀*10⁰ + a₋₁*10⁻¹ ...
Where the a₁ coefficient is the "unit" of a number.
For example, the number 145.2 can be written in this form as:
1*10² + 4*10¹ + 5*10⁰ + 2*10⁻¹
Then the numbers having a 4 in the unit place, will be the numbers that have the digit 4 just at the left of the decimal point.
the set of natural numbers having 4 in the unit place, that also are between 1 and 50 are:
{4, 14, 24, 34, 44}
Answer:
$2502.60
Step-by-step explanation:
The formula for the amount of an annuity due is ...
A = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)
where P is the monthly payment (100), r is the annual interest rate (.04), n is the number of compoundings per year (12), and t is the number of years (2). Given these numbers, the formula evaluates to ...
A = $100(1.00333333)(1.00333333^24 -1)/0.00333333
= $100(301)(0.08314296)
= $2502.60
_____
This value is confirmed by a financial calculator. The given answer choices all appear to be incorrect. The closest one corresponds to an annual interest rate (APR) of 4.286%, not 4%.
