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Oliga [24]
3 years ago
8

Hannah and Dawson have both invested money in savings accounts with APYs of 3.2%. If Hannah's account has a balance of $31,000 a

nd Dawson's account has a balance of $42,000, how much more interest does Dawson earn than Hannah?
Mathematics
1 answer:
9966 [12]3 years ago
3 0

Answer:

$341.07

Step-by-step explanation:

Hanna and Dawson both invested at 3.2% = 0.032

Hannah has balance of 31,000 in account

Dawson has balance of 42000 in account

Interests earned by both are

1)Hannah -P(1+i)^-n

=31000(1+0.032)^-1

=31000(1.032)^-1

=31000(0.968992)

=$30038.752

=$30038.75

Interest earned by Dawson is $31,000 - $30038.75 = $961.25

2)Dawson-  P(1+i)^-n

=42000(1+0.032)^-1

=42000(1.032)^-1

=42000(0.968992)

=$40697.664

=$$40697.664

Interest earned by Dawson is $42,000 - $40697.66= $1302.32

3) Hence the amount that Dawson earns than is:

=$1302.32-$961.25

= $341.07

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Agata [3.3K]
One way is to make into fracitons and simplify

A.5/7=25/35?
yes, true

B. 6/9=18/36?
no

C. 9/18=16/36?
no

D. 35/120=75/250?
no


another way is
if a/b=c/d, then (ad)/(bc)=1 or ad=bc


A is answer
6 0
3 years ago
What best describes the expression y over 3?
tekilochka [14]
The y represents "some number," so in this case some number divided by three is the right answer
3 0
3 years ago
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A man age is three times his sons age. ten years ago was five times his sons age. find their current age.
kow [346]

Answer:

The son is 20

The man is 60

Step-by-step explanation:

We can set up this equation with what we know. Let <em>m</em> stand for the Man's current age, and let <em>s</em> stand for his son's current age.

We know the Man's current age is three times that of his son, so this equation can be written as: <em>m = 3s</em>

Ten years ago means the man's current age <em>minus</em> 10 years. So it is <em>m-10</em>. So ten years ago he was 5 times his son's age 10 years ago, <em>5(s-10)</em>

This can be written as: <em>m-10=5(s-10)</em>

Solve with either substitution or elimination, the choice is yours, it doesn't really matter which method you use. I'll be using substitution.

<em>m-10=5(s-10)</em>

<em>3s-10= 5s-50</em>

<em>40=2s</em>

<em>20 = s</em>

The son is <em>20</em> years old.

We know the man is currently 3 times his son's age, because <em>m=3s</em>, so just solve for m since you now know the value of <em>s.</em>

<em>m=3s</em>

<em>m=3(20)</em>

<em>m=60</em>

The man is <em>60</em> years old

4 0
3 years ago
The ceilings in Roberto's house are 14 feet high. How many meters high are the ceilings? Do not round your answer.
monitta

Answer:

≈ 4.27 meters high

Step-by-step explanation:

Roberto's house is 14 feet high, we also know that 1 foot equals about 0.305 meters, so since we have 14 feet, we multiply 0.305 by 14 :

0.305 * 14

==> 4.27 meters

8 0
3 years ago
Read 2 more answers
2. Consider the following dot plot and answer the following questions : A. Find the measures of central tendency Construct the B
zubka84 [21]

The measures of central tendency for this data set are as follows:

  1. Mean = 3.55.
  2. Median = 3.5.
  3. Mode = 3.

<h3>How to calculate measures of central tendency?</h3>

In Mathematics, there are three (3) main measures of central tendency and these include the following:

  • Mean
  • Median
  • Mode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

<h3>How to calculate the mode?</h3>

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: brainly.com/question/9550536

#SPJ1

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