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topjm [15]
2 years ago
10

For each of the following, determine the interest rate per compounding period. 1) 12% per year, compounded weekly b) 8% per year

, compounded bi-weekly c) 6% per year, compounded monthly
Mathematics
1 answer:
Zarrin [17]2 years ago
8 0

Using compound interest, the rates per compounding period are given as follows:

a) 0.1273 = 12.73%.

b) 0.0833 = 8.33%

c) 0.0617 = 6.17%

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

The <u>interest rate per compounding period</u> is given as follows:

\left(1 + \frac{r}{n}\right)^n - 1

For item a, the parameters are:

r = 0.12, n = 52.

Hence:

\left(1 + \frac{0.12}{52}\right)^{52} - 1 = 0.1273

For item b, the parameters are:

r = 0.08, n = 104.

Hence:

\left(1 + \frac{0.08}{104}\right)^{104} - 1 = 0.0833

For item c, the parameters are:

r = 0.06, n = 12.

Hence:

\left(1 + \frac{0.06}{12}\right)^{12} - 1 = 0.0617

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

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As we know 1/4 mile = 402.336 m

So, 402.336 ÷ 4 = 100.584 m

100.584 m = 0.0625 mile or 1/16 mile


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3 years ago
Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inc
wlad13 [49]

Answer:

A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.

A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

Step-by-step explanation:

the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.

5 0
3 years ago
Read 2 more answers
Please help select the equivalent representations of the interval written below
zhuklara [117]

Answer:

3rd option

Step-by-step explanation:

x < 7

means that x cannot equal 7 but all values less than 7

since not equal at either end of interval use parenthesis, not brackets , then

(- ∞ , 7 ) ← is the required interval

6 0
2 years ago
Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. How much faster does Julia
Nimfa-mama [501]

We know that,speed = \frac{distance}{time}

Julia can finish a 20-mile bike ride in 1.2 hours.

The distance Julia travels is 20 miles and the time she takes is 1.2 hours.

So, Julia's speed = \frac{20}{1.2} = 16.67 mph


Katie can finish the same bike ride in 1.6 hours.

The distance Katie travels is 20 miles and the time she takes is 1.6 hours.

So, Katie's speed = \frac{20}{1.6} = 12.5 mph


Now, to find how much faster Julia rides than Katie we subtract Katie's speed from Julia's speed.

So, 16.67 mph - 12.5 mph = 4.17 mph = 4.2 mph (approximately)

Thus, Julia rides 4.2 mph faster than Katie.

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3 years ago
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What group of numbers does -2 belong to?
Marizza181 [45]
Answer: Integers and Rational Numbers

Explanation: -2 is an integer because integers include positive an negative numbers. It would not be a whole number or a Naural number because both of those sets only include positive numbers. Here’s a better explanation:

Natural numbers: Natural Numbers are like (1,2,3....). They only include positive numbers. Therefore, -2 does not belong in this category.

Whole Numbers: Whole Numbers are like (0,1,2,3....). They include all the natural numbers with 0. Therefore, -2 does not belong in this set.

Integers: Integers include both positive and negative numbers. They are like (-3,-2,-1,0,1,2,3....). Since they both have positive and negative numbers, -2 would belong in this set.

Rational Numbers: Rational Numbers include ALL the sets that were described. (Natural, Whole, Integer). Since this set also includes positive and negative numbers, -2 would belong in this set.

So, -2 belongs in Integers and Rational Numbers

Hope this helps!
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