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babunello [35]
3 years ago
6

Jennifer invests $8,353 in a retirement account with a fixed annual interest rate of8% compounded 4 times per year. What will th

e account balance be after 15 years?
Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

Amount after 15 years = $27,406.45 (Approx.)

Step-by-step explanation:

Given:

Amount invested p = $8,353

Rate r = 8% = 0.08/4 = 0.02 per year (4 times)

Number of interest compounded n = 15 year x 4 = 60 times

Find:

Amount after 15 years

Computation:

A = p[1+r]ⁿ

Amount after 15 years = 8,353[1+0.02]⁶⁰

Amount after 15 years = 8,353[1.02]⁶⁰

Amount after 15 years = $27,406.45 (Approx.)

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The perimeter of a rectangle is 44 inches. If the width of the rectangle is four more than half the length, find the length of t
Mars2501 [29]

Answer: the length of the rectangle is 12 inches

Step-by-step explanation:

Let the length of the rectangle is x inches

Hence, the width is (x/2)+4 inches

Thus,

\displaystyle\\2(x+(\frac{x}{2} +4))=44\\\\2x+x+8=44\\\\3x+8=44\\\\3x+8-8=44-8\\\\3x=36\\

Divide both parts of the equation by 3:

x=12\ inches

6 0
1 year ago
Is this table proportional or non-proportional? Explain your reasoning to why this table is proportional or non-proportional.
dolphi86 [110]
Non proportional hope this helps :)
8 0
3 years ago
Which table represents an arithmetic sequence?
andriy [413]

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The table that represents an arithmetic sequence is the third table.

<h3>What is arithmetic sequence?</h3>

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₓ = a₁ + (x-1)d

where d is the difference and a₁ is the first term of the sequence.

For the table to be in an arithmetic sequence, the difference between any two consecutive terms must be equal.

  • For the first table, the difference between the first two terms is -6, while for the next two terms it is -12. Thus, it is not an arithmetic sequence.
  • In the second table, the difference between the first two terms is 2 while the difference between the next two terms is 4. Thus, it is not an arithmetic sequence.
  • In the third table, the difference between the first two terms is 1.4, the difference between the next two terms is 1.4. Also, it last two terms the difference is 1.4. Thus, it is an arithmetic sequence.

Hence, the table that represents an arithmetic sequence is the third table.

Learn more about Arithmetic Sequence:

brainly.com/question/3702506

#SPJ1

4 0
2 years ago
Question 1
8090 [49]

The correct answer is C. The 13 moose are the individuals. There is one categorical variable and four quantitative variables.

Explanation:

In research, the individuals refer to the participants or population that is being analyzed. For example, if the purpose of the research is to know how many hours highschool students sleep, the individuals are high school students. In this context, the individual or population of this study ae the 13 moose.

Moreover, this research focuses on different variables such as gender, height, the number of hours each moose spends in the water, the weigh of the food eaten on average by each moose, and the average weight of food eaten every day. From these variables, the last four variables are quantitative because they can be measured using numbers, for example, the height is measured in inches. On the other hand, the first variable is categorical because each moose can be classified in only two categories: male or female.

7 0
3 years ago
The base of an isosceles triangle is half the length of each of its congruent sides.
Gennadij [26K]
120 = 1/2b + b + b
120 = 1/2b + 2b
120 = 2.5b
÷2.5  ÷2.5
48 = b <— that is the length of one of the congruent sides
to find the base multiply by 1/2 and you get 24.
THE ANSWER IS… B!
:) hope i helped :)
6 0
3 years ago
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