Answer:
Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.
Explanation:
The formula for compound interest is i = r/n.
r represents the interest rate in decimal form.
n represents the compounding periods in a year.
Calculate the interest rate for 7% compounded quarterly:
Since interest compounded quarterly is four times a year, n = 4.
7% is converted to decimal form by dividing by 100.
7 / 100 = 0.07
r = 0.07
Substitute these into the formula:
i = r/n
= 0.07/4
= 0.0175
0.0175 is in decimal form. To convert it to a percentage, multiply it by 100.
0.0175 X 100 = 1.75%
1.75% ≠ 2%
Therefore, Rebecca is incorrect. The equivalent quarterly interest rate is 1.75%.
Answer:
8
Step-by-step explanation:
1. 8 to the 6th power is 262144.
2. 8 to the 9th power is 134217728.
3. Divide 134217728 by 262144= 512
Answer:
Step-by-step explanation:
Given:
Budget = $30
cost of pizza = $9
cost of drinks = $1
number of pizza = p
number of drinks = d
pizza and drinks should only be equal to or less than the budget of $30.
$9p + $1d <u>< </u>$30
unit cost of pizza : 9
unit cost of drinks : 1
total cost of set (p & d) 10
pizza = 9/10 x 30 = 27 total cost of pizza
drinks =1/10 x 30 = 3 total cost of drinks
27 ÷ 9 = 3 number of pizzas to order
3 ÷ 1 = 3 number of drinks to order
To check:
9p + 1d <u>< </u>30
9(3) + 1(3) <u>< </u>30
27 + 3 <u>< </u>30
30 <u>< </u>30
54% of 630 = 0.54 * 630 or approximately <u>340</u> of the 630 were planning to vote for the candidate.
51% of 1010 = 0.51 * 1010 or approximately <u>515</u> of the 1010 were planning to vote for the candidate.
This means that the voter support for this candidate increased.
