1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rjkz [21]
3 years ago
11

Can someone please explain how to solve this step by step with answer? Thank you.

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

a)

well, she put 4000, and she earned in interest 960, so her accumulated amount is just their sum, 4960.

b)

now, it doesn't say, so we're assuming is <u>simple interest</u>, as opposed to compound interest.


\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&960\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to r\%\to \frac{r}{100}\dotfill\\ t=years\dotfill &3 \end{cases} \\\\\\ 960=(4000)(r)(3)\implies \cfrac{960}{(4000)(3)}=r\implies 0.08=r \\\\\\ \stackrel{\textit{converting to percentage}}{r=0.08\cdot 100}\implies r=\stackrel{\%}{8}


c)

let's make the rate 1% greater then, and check


\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to \stackrel{8+1}{9\%}\to \frac{9}{100}\dotfill&0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(4000)(0.09)(3)\implies I=1080 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{at 9\%}}{1080}-\stackrel{\textit{at 8\%}}{960}\implies \stackrel{\textit{that much more}}{120}

You might be interested in
2x + 5 &gt; 9 and 5x less than or equal to 30
tatuchka [14]
2x + 5 > 9
so 2x > 9-5
   2x > 4
x > 2

5x <= 30
x <= 6


answer is   2 < x <= 6 

or interval notation it is (2, 6]
6 0
4 years ago
What is the difference between constructing and drawing geometric figures? Give a real-world example of each.
NikAS [45]
The difference between constructing and drawing geometric figures is that when constructing a geometric figure, you use compass, protractor, ruler, or any scale with accurate measurement while when drawing geometric figures, you just draw with free-hand. It is not exact in measures. 
7 0
3 years ago
Read 2 more answers
Find the slope of the line through each pair of points. <br> (19, −16), (−7, −15)
erik [133]

Point-Slope:

y+16=-1/26*(x-19)

Finding the regular slope:

m=1/-26=0.03846

7 0
3 years ago
Read 2 more answers
A regular polygon has an odd number of sides. Which statement is true about the lines of reflection for the polygon that will ma
UNO [17]
"The lines of reflection are parallel to the sides of the polygon" is the statement that is true about the lines of reflection for the polygon that will map the shape onto itself. The correct option among all the options that are given in the question is the third option or option "C". I hope that the answer has helped you.
4 0
3 years ago
The salary of two governing bodies in 2008 was $169.3 thousand, and has increased by approximately $4 thousand per year since th
IceJOKER [234]

Answer:

Step-by-step explanation:

Find, find the total increase in salary for 7 years;

If 1 year = $4,000

7 years = ?

=7*4000

=28,000 in total

Original salary = $169,300

Add the total increase in salary to the original salary;

169,300 + 28,000 = 197,300

Therefore, in 7 years, the salary would be $197,300

4 0
3 years ago
Other questions:
  • Use the discriminant to determine how many real number solutions exist for the quadratic equation –4j^2 + 3j – 28 = 0
    12·1 answer
  • Geometry math question no Guessing and Please show work thank you
    7·1 answer
  • Assume running consumes 103 calories per mile. If you run 9-minute mile, what is your average output in watts, during a 1-hour r
    15·1 answer
  • The area of a football field is 57,600 square feet. If the width of the field is 4/9 the length, what is the length of the footb
    5·1 answer
  • Which number represents 4%​
    14·2 answers
  • HELP ASAP!! questions are in the pic
    6·2 answers
  • Using the distributive law :43x15+43x5​
    7·1 answer
  • One rectangle is devided into four parts. How much is one part?
    10·1 answer
  • 4.
    12·1 answer
  • What is the area of this figure?<br><br> Enter your answer in the box.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!