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
mafiozo [28]
2 years ago
14

A woman invests 12,500 in a savings account drawling interest that is compounded annually. Find the annual rate if the money gro

ws to 14,045 in 2 years
Mathematics
2 answers:
77julia77 [94]2 years ago
7 0
6% each year I think
Anuta_ua [19.1K]2 years ago
4 0

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$14045\\ P=\textit{original amount deposited}\dotfill &\$12500\\ r=rate\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}

\bf 14045=12500\left(1+\frac{r}{1}\right)^{1\cdot 2}\implies \cfrac{14045}{12500}=(1+r)^2\implies \cfrac{2809}{2500}=(1+r)^2 \\\\\\ \sqrt{\cfrac{2809}{2500}}=1+r\implies \cfrac{53}{50}=1+r\implies \cfrac{53}{50}-1=r\implies \cfrac{3}{50}=r \\\\\\ 0.06=r\implies \stackrel{\textit{converting it to percent format}}{0.06\cdot 100=r}\implies \stackrel{\%}{6}=r

You might be interested in
How much do I have to deposit today in order to have $5000 in 5 years if interest is 8.5% compounded annually?
alina1380 [7]

Answer:

PV= $3,402.9

Step-by-step explanation:

Giving the following formula:

Future Vale (FV)= $5,000

Number of years (n) 5 years

Interest rate (i)= 8.5% compounded annually

<u>To calculate the initial investment (PV), we need to use the following formula:</u>

PV= FV / (1 + i)^n

PV= 5,000 / (1.085^5)

PV= $3,402.9

6 0
3 years ago
In the standard (x, y) coordinate plane, what is the slope of the line joining the points (3,7) and (4,−8)?
rjkz [21]
We know that the slope formula is m = (y1 - y2)/(x1 - x2)
Your points are: (3, 7) and (4, -8)
In this case,
x1 = 3
x2 = 4
y1 = 7
y2 = -8
Now, just plug in the numbers:
m = (7 - -8)/(3-4)
m = 15/-1
m = -15
Your slope is -15.
7 0
3 years ago
What this rounded to the nearest thousandth
Harlamova29_29 [7]
If I'm not mistaken its 7.2200
6 0
3 years ago
Very easy question please help I cant do basic math ​
Tom [10]
Sonic sick duck duck
3 0
3 years ago
Please view the picture for the problem.
Tema [17]
Notice that we have common denominator 2, so we can split the denominator to express the function in the form f(x)=mx+b
where 
m is the slope 
b is the y-intercept 

f(x)= \frac{3x-1}{2}
f(x)= \frac{3}{2} x- \frac{1}{2}
Look what we have here, a linear function! We know that the domain and range of linear functions is the real numbers.
We can conclude that:
the domain of the function is all the real numbers
the range of the function is all the real numbers

Now, to find the inverse of our function, we are going to replace f(x) with y; then, we are going to interchange x and y and solve for y:
f(x)= \frac{3}{2} x- \frac{1}{2}
y= \frac{3}{2} x- \frac{1}{2}
x=\frac{3}{2} y- \frac{1}{2}
\frac{3}{2} y=x+ \frac{1}{2}
3y=2x+1
y= \frac{2}{3} x+ \frac{1}{3}
f^{-1}(x)=\frac{2}{3} x+ \frac{1}{3}
The inverse of our linear function, is another linear function, so we can conclude that:
the domain of the inverse function is all the real numbers
the range of the inverse function is all the real numbers
4 0
3 years ago
Other questions:
  • The teacher gives the equation 4x__=12. Charlie finds the answer by writing and solving 12÷__=3. Explain why Charlie's method wo
    8·2 answers
  • (35 POINTS!!)<br> Write the following equation in slope-intercept form.
    5·2 answers
  • Can you guy help me please
    5·1 answer
  • After Halloween, a variety store had some costumes regularly priced at $20.50 on sale for 20% off the regular price. A few weeks
    8·1 answer
  • The perimeter of a picture frame is 24 inches. If the width of the picture frame is 5 inches, what is the length of the picture
    7·2 answers
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    12·1 answer
  • Solve the inequality of -4m≥-4
    7·2 answers
  • Each of her 12 friends ate 1/8 of ice cream what the total amount of ice cream they ate
    14·1 answer
  • There are 131 students at a small school and 35 of them are freshmen. What fraction of the students are freshmen?
    9·1 answer
  • A boxplot is also known as a/an
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!