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
ddd [48]
2 years ago
8

Sandra earned $8,000.00 from a summer job and put it in a savings account that earns 3% interest compounded continuously. When S

andra started college, she had $8,327.00 in the account which she used to pay for tuition. How long was the money in the account? Round your answer to the nearest month.
____ years and ____ months
Mathematics
1 answer:
Sphinxa [80]2 years ago
7 0

Answer: 1 year and 4 months

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

P = 8000

r = 3% = 3/100 = 0.03

A = 8327

Therefore,

8327 = 8000 x 2.7183^(0.03 x t)

8327/8000 = 2.7183^(0.03t)

1.040875 = 2.7183^(0.03t)

Taking log of both sides, it becomes

Log 1.040875 = log 2.7183^(0.03t)

0.0174 = 0.03tlog2.7183

0.0174 = 0.03t × 0.434 = 0.01302t

t = 0.0174/0.01302

t = 1.336

0.336 × 12 = 4.032

Therefore, the money waa in the account for 1 year and 4 months

You might be interested in
Helpp meee pleaseeee​
ludmilkaskok [199]

Answer:

I think its b:/ srry if I'm wrong

5 0
2 years ago
Read 2 more answers
Please answer! Answer choices below on picture bananas
svp [43]

Answer:

D

Step-by-step explanation:

7 0
2 years ago
Rearrange the equation 5x-3y+9=0 from standard form to slope/y-intercept form.
lions [1.4K]
Y=Mx+B -> slope intercept form

The answer would be -3y=-5x-9
Divide the -3 on both sides and you get
y=5/3x+3
8 0
3 years ago
Shanti began to draw a Venn diagram comparing refracting and reflecting telescopes. 2 overlapping circles. The left circle label
iren2701 [21]

The label could be written in the area marked X as "Uses a convex eyepiece lens". Then the correct option is D.

<h3>What are Sets?</h3>

Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}.

<h3>What is the Venn diagram?</h3>

It is the representation of the sets by the diagram. And shows the condition that is generated between them by the overlapping of the circle.

Shanti began to draw a Venn diagram comparing refracting and reflecting telescopes. The two overlapping circles.

The left circle is labeled Refracting telescopes.

The right circle is labeled Reflecting Telescopes.

An X in the overlap. Both as a label below and outside the overlap.

From the figure, we can say that the label could be written in the area marked X as "Uses a convex eyepiece lens".

Then the correct option is D.

More about the set link is given below.

brainly.com/question/8053622

7 0
1 year ago
A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes a
Sati [7]

Answer:

P(X \geq0.55) \leq 0.22

Step-by-step explanation:

Using central Limit Theorem (CLT), The sum of 100 random variables;

Y=X_1+X_2+...+X_{100} is approximately normally distributed with

Y ~ N (100 × \frac{1}{3^2} ) = N ( 50, \frac{100}{9} )

The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;

N ( 50, \frac{100}{9} )

P(Y>55) =P(Z>\frac{55-50}{10/3})

P(Y>55) =P(Z>1.5)

P(Y>55) =\phi (-1.5)

P(Y>55) =0.0668

Using Chebyshev's inequality:

P(|X-\mu\geq K)\leq \frac{\sigma^2}{K^2}

Let assume that X has a symmetric distribution:

Then:

2P(X-\mu\geq K)\leq) \frac{\sigma^2}{K^2}

2P(X \geq \mu+K)\leq) \frac{\sigma^2}{K^2}

2P(X\geq0.5+0.05)\leq \frac{\frac{1}{\frac{3^2}{100} } }{0.05^2}               where: (\sigma^2 = \frac{1}{3^2/100})

P(X \geq0.55) \leq 0.22

6 0
3 years ago
Other questions:
  • a 4inch wide by 6inch long picture is placed on a solid mat that forms a frame around it. the mat is 8 inches long. the mat and
    15·1 answer
  • Which shape is a Parallelogram?
    6·1 answer
  • Will mark BRAINLIEST!!
    11·2 answers
  • What is (0.64) • (0.81)?
    12·2 answers
  • SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
    7·2 answers
  • Partial products of 310x434
    9·2 answers
  • What is the simplified expression of the following expression?
    9·1 answer
  • HERES MY QUESTION???!!!!!!!!!!!!!!!
    13·2 answers
  • 4√90 in simplest radical form.
    15·1 answer
  • Find the slope (5,9) and (3,-7)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!