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
velikii [3]
4 years ago
13

Lucy have $6400 if she invests $1200 at 15% interest compounded quarterly?

Mathematics
1 answer:
svet-max [94.6K]4 years ago
8 0

Answer:

  11.4 years

Step-by-step explanation:

We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.

  FV = P(1 +r/n)^(nt)

for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...

  6400 = 1200(1 +0.15/4)^(4t)

  16/3 = 1.0375^(4t) . . . . divide by 1200

  log(16/3) = 4t·log(1.0375) . . . . take logarithms

  t = log(16/3)/(4·log(1.0375)) ≈ 11.4

It will take about 11.4 years for Lucy's investment value to be $6400.

You might be interested in
HELP!!!!<br> Solve, 4/9 - 4/10
Leokris [45]

Answer:

\frac{2}{45}

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

3 0
2 years ago
Read 2 more answers
I NEEEEEED HELP ASAP PLEASS!!
Debora [2.8K]

3 1/4 lbs.....1 lb = 16 oz......3 1/4 * 16 = 13/4 * 16 = 52 oz <==


0.15 gal every second......for 20 seconds = 0.15(20) = 3 gal per 20 seconds.

if there is 2 pints in a qt, and 4 qts in a gal...then there is 8 pints in a gal.

3 gal = (8 * 3) = 24 pints dispensed in 20 sec




4 0
4 years ago
Simplify:<br>1/1-x^(b-a)+1/1-x^(a-b)​
Pachacha [2.7K]

Answer:

<h3>1</h3>

Step-by-step explanation:

simplify:

1/1-x^(b-a)+1/1-x^(a-b)​

\frac{1}{1-x^{b-a}} + \frac{1}{1-x^{a-b}}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a})(1-x^{a-b})}\\=  \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a}-x^{a-b}+x^{b-a+a-b})}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a}-x^{a-b}+1)}\\= \frac{2-x^{a-b}-x^{b-a}}{2-x^{b-a}-x^{a-b}}\\= 1\\ \\

Hence the required answer is 1

8 0
3 years ago
Read 2 more answers
4,7,2,x,2,9,6: the median is 5​
telo118 [61]

Answer:

the median is 5

hope this helps

have a good day :)

Step-by-step explanation:

6 0
3 years ago
(Please Help For Examination) A sweet stall was placing order for making cardboard boxes for packing their sweets. Two sizes of
frozen [14]
Answer: Rs 2,184

Explanation:

1) The statement is incomplete. The complete statement contains the information of the dimensions of both bigger and smaller cardboard boxes.

2) The dimesions of bigger cardboard boxes are 25cm * 20 cm * 5 cm

3) The dimensions of smaller cardboard boxes are 15 cm * 12 cm * 5cm

4) For bigger cardboard boxes:

length, l = 25 cm
width, w = 20 cm
height, h = 5 cm

surface of each bigger carboard box = 2 [ l*w + l*h + w*h] = 2 [25*20 + 25*5 + 20*5] cm^2 = 1450 cm^2

total surface of 250 bigger cardboard boxes = 250 * 1450 cm^2 = 3625,500 cm^2

5% of the total surface area extra = 362,500cm^2 * 5 / 100 = 18,125 cm^2

Total area for bigger cardboard boxes= 362,500 cm^2 +  18,125 cm^2 = 380,625 cm^2

5) Smaller cardboard boxes

length, l = 15 cm
width, w = 12 cm
height, h =  5 cm

surface of each smaller cardboard box = 2 [l*w + l*h + w*h] = 2 [ 15*12 + 15 * 5 + 12 * 5] cm^2 = 630 cm^2

total surface of 250 smaller cardboard boxes = 250 * 630 cm^2 = 157,500 cm^2

5 % extra = 157,500 cm^2 * 5 / 100 = 7,875 cm^2

total area for smaller cardboard boxes = 157,500 cm^2 + 7,875 cm^2 = 165,375 cm^2

6) total area of cardboard required  = 380,625 cm^2 + 165,375 cm^2 = 546,000 cm^2

7) Cost of cardboard required

unit cost per area * total area = (Rs 4 / 1000cm^2) * 546,000 cm^2 = Rs 2,184.

Answer: Rs 2,184
7 0
4 years ago
Other questions:
  • An experimenter says "it was a 3 by 3." what does this mean?
    9·2 answers
  • What is the slope and y intercept of 6x - 1 = 3 y -10
    15·1 answer
  • Bobby will buy coffe and hot chocolate for his co-workers each cup of coffe costs $2.25 and each cup of hot chocolate costs $1.5
    15·1 answer
  • Emma bought 2 DVDs for $7.98 each. What was the total cost of the DVDs and additional tax, if she paid $0.96 in tax?
    14·1 answer
  • Select the two values of x that are roots or this equation x^2-5x+2=0
    5·1 answer
  • True or false: The mapping notation for reflecting point (x,y) about the x-axis is (−x,y).(1 point) This statement is true. This
    7·2 answers
  • A rectangular prism has a length of 18 feet, a height of 14 feet, and a width of 2 feet.
    12·2 answers
  • HELP ME PLS BRAINLIST QUICK
    6·1 answer
  • What is the decimal equivalent of the fraction?
    7·1 answer
  • Which graph best represents the function f(x)=2x ?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!