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
xeze [42]
3 years ago
5

A person invests 9500 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how

long must the person leave the money in the bank until it reaches 12600 dollars?
Mathematics
1 answer:
sweet [91]3 years ago
6 0

Answer:

4.9 years

Step-by-step explanation:

Future value is the sum of amount invested and its compounded interest for a specific period of time and on a specific interest rate.

Investment = Present value = $9,500

Future value = $12,600

To find the numbers of years we will use following formula

Future value = Present value x ( 1 + r )^n

r = interest rate = 5.75%

n = number of periods = ?

Placing values in the formula

$12,600 = $9,500 x ( 1 + 5.75%/4 )^n

$12,600 / $9,500 = 1.014375^n

1.3263 = 1.014375^n

Log 1.3263 = n log 1.014375

n = Log 1.3263 / log 1.014375

n = 19.7856 Quarters

n = 4.9 years

You might be interested in
Two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together the
Yuliya22 [10]
Let x and y be the rate per hour for Mechanic 1 and 2 respectively.

Then,
x+y=205 ---------- (1)
Additionally,
10x+15y = 2500 ------ (2)

Solving equations 1 and 2;
Multiply (1) by 10 and subtract two from the result,
10x+10y = 2050
10x +15 y =2500
----------------------
        -5 y = --450 => y = 450/5 = $90
Then,
x= 205-90 = $115

Therefore,
Mechanic 1 charged $115 per hour
Mechanic 2 charged $90 per hour
3 0
3 years ago
1. Find the percent markup.
krek1111 [17]

\mathbb{ \ \underline{ \:  \:  ANSWER  : }}

1. Find the percent markup.

Markup ($) = percent markup (%) x original cost ($)

A computer store buys a laptop for $635 directly from the manufacturer (Dell). The markup is $570. What is the percent markup on the computer?

The percent markup is: <u> </u><u>90</u><u> </u>%

\mathbb{ \ \underline{ \:  \:  SOLUTION    : }}

FORMULA: Percent of Markup = Markup/Cost x 100

  • = $570/$635 x 100
  • = 0.90 x 100
  • = 90%

7 0
3 years ago
How do you solve -1=-x+2
Arturiano [62]

-1 = x + 2

-2       -2

-3 = x

x = -3

8 0
3 years ago
Read 2 more answers
Nate draws a map to show locations on a playground.
o-na [289]

i think that it is 1 yard because they are 1 apart

7 0
3 years ago
A set of equations is given below:
Salsk061 [2.6K]
If you would like to know which of the following best describes the solution to the given set of equations, you can calculate this using the following steps:

<span>y = 4x + 8
y = 4x + 2
</span><span>___________________
</span>y = y
4x + 8 = 4x + 2
8 = 2

The correct result would be: No solution<span>.</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Steve is 6 years older than Kim. Their ages total is 22. How old is Steve?
    8·2 answers
  • Which word equal rectangle parallelogram square rhombus​
    15·1 answer
  • Which points are solutions to the system of inequalities shown below? Check all that apply.
    5·1 answer
  • Evaluate the following expressions giving the functions g(x)= -4x+3 <br> g(10) is the expression
    14·1 answer
  • You have 6 bracelets and 15 necklaces. Find the number of ways you can wear one bracelet and one necklace. There are ways to wea
    13·1 answer
  • In Ryan coorporation the first shift produced 5 1/2 times as many lightbulbs as the second shift. if the total lightul.bs produc
    12·1 answer
  • A square has a side length of 6 inches. It is enlarged and the new side length is 18 inches. What is the scale factor?​
    15·1 answer
  • Diego scored 9 points less than Andre in the basketball game Noah scored twice as many points as Diego. If Noah scored 10 points
    5·2 answers
  • The radius of a circle is 5 cm. What is the radius of another circle whose area is 25 times that of the first one?
    13·1 answer
  • Area of a circle <br>mathematics ​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!