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
Brrunno [24]
2 years ago
9

. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus inte

rest. Altogether, how much money did Mrs. Rojas withdraw? What fraction of a year's interest was earned? 760​
Mathematics
1 answer:
Mashcka [7]2 years ago
4 0

well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}

You might be interested in
In 2009, Zane paid $9,540 in federal income tax. In 2010, he paid 10% less. How much did Zane pay in 2010?
Dominik [7]

Answer: $940

Step-by-step explanation:

You multiply the 9540 by .10 because 10% turns into .10 and then when you multiply that which is.... 9540x.10= 954

4 0
3 years ago
Read 2 more answers
13,000 inches equals how many miles
Nataly [62]

Answer:

0.205177 mi

Step-by-step explanation:

Step 1: Find conversions

12 in = 1 ft

5280 ft = 1 mi

Step 2: Use Dimensional Analysis

13000 \hspace{2} in(\frac{1 \hspace{2} ft}{12 \hspace{2} in} )(\frac{1 \hspace{2} mi}{5280 \hspace{2} ft} )

0.205177 mi

8 0
3 years ago
Harry manages a sales force which sells several products in different sales territories. A random sample of 25 territories were
daser333 [38]

Answer:

13,000 i think

Step-by-step explanation:

7 0
2 years ago
The circle below has center 0, and its radius is 4 mm. Given that m ZAOB = 50°, find the length of the major arc ACB.
Mrrafil [7]

\textit{arc's length}\\\\ s=\cfrac{r\theta \pi }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{in~degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =50 \end{cases}\implies s=\cfrac{(4)(50)\pi }{180}\implies s=\cfrac{10\pi }{9}~mm

8 0
2 years ago
Write a story problem for the addition sentence 7+ __=9.solve the story problem.
vfiekz [6]
The missing blank is 2 because 7+2=9.
3 0
3 years ago
Read 2 more answers
Other questions:
  • A local movie theater charges $7 for each adult ticket and $4.50 for each child ticket.
    10·2 answers
  • at a local fitness center, members pay a $6 membership fee and $5 for each aerobics class . nonmembers pay $6 for each aerobics
    6·1 answer
  • Gas costs $6 per gallon and diesel costs $8 per gallon. You have at most $85 to spend on fuel. You must purchase at least 12 gal
    14·1 answer
  • Which two number add up to 6 and multiply to 12
    11·1 answer
  • Which expression is equivalent to -1.3 - (-1.9)−1.3−(−1.9)minus, 1, point, 3, minus, left parenthesis, minus, 1, point, 9, right
    13·1 answer
  • What present of 25 is 23
    8·1 answer
  • HELPPPPPPP!!!
    6·1 answer
  • 7.) x-3>4 please help
    5·2 answers
  • The price of a shoes as reduced from 60 to 45. by what percentage was the price of the shoes reduced?
    12·1 answer
  • A rectangle has a side length of 9 centimeters and 6 centimeters. What is the area of the rectangle?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!