Melisa has recently inherited $15,000 that she wants to deposit into a savings account for 10 years. She has determined that her two best bets are an account that compounds annually at a rate of 3.95% and an account that compounds continuously at an annual
rate of 3.85%. How much interest could Melisa gain after 10 years if she chooses the 3.85% account?
A. $22,097.15
B. $22,044.21
C. $7,097.15
D. $7,044.21
E. None of them

Answers

Answer 1

She will gain $ 6885.4896 after 10 years if she chooses 3.85% account.

Step-by-step explanation:

Given,

Principle (P) = $ 15000

Time (T) = 10 years

Rate of interest (R) = 3.85%

To find the compound interest.

Formula

CI = [tex]P(1+\frac{R}{100} )^{T}-P[/tex]-P

Putting the values we get,

CI =  [tex]15000(1+\frac{3.85}{100} )^{10}-15000[/tex]

= 21885.4896-15000

= 6885.4896

Hence,

She will gain $ 6885.4896.


Related Questions

The figure is made up of a square and two semicircles. Find the perimeter. Round your answer to the nearest hundredth

Answers

Answer:

61.68

Step-by-step explanation:

Can someone help me with one more pls I’ll comment on yours

Answers

Answer:

A:

The perimeter of the parking lot is 302 yards.

The area of the parking lot is 5,544 yards squared.

B: Perimeter

C: Area

Step-by-step explanation:

A:

To find the perimeter of the parking lot, we add all the sides up. 2L + 2W = Perimeter.

2(63) + 2 (88) = 302

To find the area, we multiply the length by the width. 63 × 88 = 5,544.

B: We need to know the amount of chain needed to surround the parking lot. In other words, we need to line the perimeter with a chain.

C: We would be paving the entire area of the parking lot.

Hope this helps,

❤Nicki❤

QUESTION
Learning Page
An amount of $49,000 is borrowed for 11 years at 6.5% Interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?
plz help

Answers

Answer:

$97,958.42

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

[tex]A=P(1+r )^{t}[/tex]

P = initial balance

r = interest rate

t = time

First change 6.5% to its decimal form:

6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065

Next plug in the values:

[tex]A=49,000(1+.065)^{11}[/tex]

[tex]A=97,958.42[/tex]

They have to pay back $97,958.42

15 points
Which of these can have a positive effect
on your credit score?
A paying credit card balance monthly
6 late payments
© a new job
D high monthly debt repayment
C
ОА
)
OB

Answers

Answer:

A paying credit card balance monthly

Step-by-step explanation:

Answer:

Paying your credit card balance monthly

Step-by-step explanation:

To build a good credit, you need to make payments on time, and never miss a payment.

Bella spent 15% of her paycheck at the mall, and 40% of that was spent at the
movie theater. Bella spent a total of $13.74 at the movie theater for her movie
ticket, popcorn, and a soft drink. How much money was in Bella’s paycheck?

Answers

Answer:

$229

Step-by-step explanation:

Pay check = P

so

Total spent movie  T = $13.74

T = 0.4 *0.15* P = $13.74

The 40% on the Movie Theatre spending is part of the 15% spending at the mall.

So 40% of 15% of the Pay Check = $13.74

P = $13.74 / (0.4*0.15)  =  34.35/0.15 = 229

her paycheck was $34.35

Find the area of a circle with a circumference of 50.24units

Answers

Answer:

A is approximately 200.86 square units.

Step-by-step explanation:

Steve will roll a number cube, numbered 1-6, twice. What is the probability

of rolling a number > 3, then rolling a prime number? Simplify your answer!

Answers

Answer:

25%

Step-by-step explanation:

First we calculate the probability of rolling a number greater than 3, that is, it can be 4, 5 or 6.

The probability of each number is 1/6, so:

P1 = (1/6) + (1/6) + (1/6) = 3/6 = 1/2

Then, we calculate the probability of rolling a prime number, that is, 2, 3 or 5.

As we have again 3 numbers, the probability P2 will also be 1/2

Then, the final probability is the product of both P1 and P2:

P = P1 * P2 = (1/2) * (1/2) = 1/4 = 25%

What is the slope of the line 2x-3y=5?

Answers

Answer:

2

Step-by-step explanation:

The slope intercept form is y=mx+b where m is the slope. In this case, it is 2x and 2 is the slope.

Answer:

-3/2

Step-by-step explanation:

Hope this helped

I’m not sure about this can anyone help I mark brilliant

Answers

Answer:

C

Step-by-step explanation:

Take the x and y values of each value in each table.  Table 3's values all lie on the graphed line and are therefore correct.  Remember that x values are side-to-side and y values are up and down.  

Answer:

Option C

Step-by-step explanation:

The line passes through the points (0,-1) ; (4,0);(-4,-2)

The shorter leg of a right triangle is 8 less than the hypotenuse. The longer leg is 1 less than the hypotenuse. Find the perimeter of the triangle.

Answers

Answer:

Perimeter is 30

Explanation:

short leg = h - 8

longer leg = h -1

(h-8)^2 + (h -1)^2 = h^2

h^2 - 16h + 64 + h^2 - 2h + 1 = h^2

h^2 - 16h + 64 + h^2 - 2h + 1 - h^2 = 0

 

h^2 - 18h + 65 = 0

(h  -   13 )(h    -   5  ) = 0

h-13 = 0 --->  h = 13  ---> short leg is 5 and long leg is 12 ---> perimeter is 30

 

h-5 = 0 ---> h = 5 --> short leg is -3 and long leg is 4 <--- disqualified because leg measure cannot be negative

 

short leg is 5, long leg is 12, hypotneuse is 13

5^2 + 12^2 = 25 + 144 = 169 = 13^2 <--- pythagorean check

perimeter is 5 + 12 + 13 = 30

Can someone answer 13??? Please help!!!

Answers

Answer: B) 10.3

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(20) = x/11

11*cos(20) = x

x = 11*cos(20)

x = 10.336618828645

x = 10.3

Make sure your calculator is in degree mode.

the answer is B because when you get 10.336618828645 you must round it to get 10.3

Three divide by one fourth

Answers

Answer:

3 divided by 1/4 will be 1/3 * 1/4 which should give you 1/7.

Answer:

3 divided by one forth is 2.142

Step-by-step explanation:

Please help!! A picture measuring 4 inches by 6 inches is placed inside a frame which has equal width around the entire picture. If the area of the frame and the picture is 63 square inches, what is the width of the frame?

Answers

Answer:

Width of Frame = 1.5 inches

Step-by-step explanation:

The area of the picture is 4 by 6, or

4 * 6 = 24

The frame is same width all sides, let that width of frame each side be "x".

So,

Width of frame (and pic) = 4 + x + x = 4 + 2x

Height of frame (and pic) = 6 + x + x = 6 + 2x

Total area of frame and pic is 63, so we can write:

[tex](4+2x)(6+2x)=63[/tex]

Now, we multiply and solve for "x":

[tex](4+2x)(6+2x)=63\\24+8x+12x+4x^2=63\\4x^2+20x+24=63\\4x^2+20x-39=0\\x=-6.5,1.5[/tex]

We disregard -6.5 since width can't be negative. So, we conclude:

Width of Frame = 1.5 inches

Answer:

1.5 is right

Step-by-step explanation:

Give that dude brainliest

A receptionist recorded the number of people who took an elevator up from his floor and the number
who took an elevator down. He also noted the number of men and women. The table shows the results.
Elevator Up
Elevator Down
Men
36
43
Women
39
42
What is the experimental probability that the next person will be a woman taking the elevator up?

Answers

Answer:

39/160

Step-by-step explanation:

Final answer:

The experimental probability that the next person will be a woman taking the elevator up is calculated by dividing the number of women who took the elevator up (39) by the total number of people who went up (75), resulting in a simplified probability of 13/25.

Explanation:

The question asks for the experimental probability that the next person will be a woman taking the elevator up. To find this, we look at the number of women who previously took the elevator up and divide it by the total number of people taking the elevator up. In the table provided, 39 women took the elevator up, and the total number of people taking the elevator up is the sum of both men and women who did so, which is 36 (men) + 39 (women) = 75 (total).

The experimental probability is therefore calculated as follows:

Probability = Number of Women Going Up / Total Number Going Up
Probability = 39 / 75

The simplified fraction for the probability is 13/25 after dividing both the numerator and the denominator by 3.

In a Calculus class, there are 11 freshman and 15 sophomores; 5 of the sophomores are females,
and 8 of the freshman are males. If a student is selected at random, what is the probability of
selecting a freshman or a female? P(Freshman or Female)=

Answers

Using it's concept, it is found that there is a 0.6154 = 61.54% probability of selecting a freshman or a female.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 26 students. Of those, the desired outcomes are composed by the 11 freshmen students plus the 5 sophomore females, hence:

p = 16/26 = 0.6154.

0.6154 = 61.54% probability of selecting a freshman or a female.

More can be learned about probabilities at https://brainly.com/question/14398287

Final answer:

To find the probability of selecting a freshman or a female from the calculus class, we calculate the combined unique count of freshmen and females and divide by the total number of students, resulting in a probability of approximately 69.23%.

Explanation:

The question asks for the probability of selecting a freshman or a female student from a calculus class with a total of 11 freshmen and 15 sophomores, where 5 of the sophomores are females and 8 of the freshmen are males. First, let's identify the totals: there are 26 students in total (11 freshmen + 15 sophomores). To find the number of freshmen or females, we consider that there are 3 freshmen females (11 freshmen - 8 males) and 10 sophomore females in total (5 sophomores who are female plus 5 presumed male due to the lack of additional gender data).

So, the number of unique freshmen or female counts is: the 11 freshmen (regardless of gender) plus the 10 females not counted among freshmen (5 sophomores who are females plus an assumed 5 other females given the data isn't explicit about these being the same or different students), minus the 3 freshmen females who are already counted in the freshman group. This gives a total of 18 unique freshmen or females. Therefore, the probability of selecting a freshman or a female is [tex]\(\frac{18}{26}\)[/tex], which simplifies to [tex]\(\frac{9}{13}\)[/tex] or approximately 69.23%.

Erin washed the car 4 minutes slower than half of the amount of time it took time it took
Tad to mow the lawn. In total, the two jobs took Erin and Tad 62 minutes. The amount of
minutes that the jobs took Erin (x) and Tad (y) are given with the system of equations.
X=1/2y-4 x+y=62 How many minutes did it take Erin to wash the car?

Answers

Final answer:

By solving the system of equations step by step, we find that Erin took 18 minutes to wash the car.

Explanation:

The question involves solving a system of linear equations to find out how many minutes it took Erin to wash the car. We have two equations, x = 1/2y - 4 and x + y = 62, representing the time it took Erin (x) and Tad (y) to complete their tasks. To find the value of x, we can substitute the expression for x from the first equation into the second equation.

Let's solve the system step by step:

Express x in terms of y: x = 1/2y - 4.Substitute x in the second equation: (1/2y - 4) + y = 62.Combine like terms: 1.5y - 4 = 62.Add 4 to both sides: 1.5y = 66.Divide both sides by 1.5: y = 44.Now, we know Tad took 44 minutes. Substitute y back into the equation for x: x = 1/2(44) - 4.Calculate: x = 22 - 4.

Finally, Erin took 18 minutes to wash the car.

Use the distributive property to write an expression that is equivalent to each given property.
-3(2x-4)
0.1(-90+50a)
-7(-x-9)
4/5(10y-x+-15)

Answers

Answer:

-6x+12

-9+5a

7x+63

8y-4/5x-12

Step-by-step explanation:

To solve these all you have to do is take the number outside of the parenthesis and multiply them by each term.

-3(2x)-3(-4) All I did here was expand the problem to show what i mean by terms.

-6x+12

Do this for each problem.

0.1(-90)+0.1(50a)

-9+5a

-7(-x)-7(-9) For this one you are taking negatives times negatives so each answer will be positive.

7x+63

4/5(10y)+4/5(-x)+4/5(-15)

8y-4/5x-12

Can anyone help with this?

Answers

Answer:

5 times 2=10

1.5 times 3=4.5

8 times 1/2=4

Step-by-step explanation:

10/5=2

4.5/3=1.5

4/ 1/2 changes to 4 times 2=8

i hope this helps u

pls give a brainliest and a thx ;)

The answer to number one is 2

How do you multiply a decimal greater than 0 and a fraction less than 0

Answers

Answer:

Originally Answered: How do you multiply a decimal greater than 0 and a fraction less than 0? Simply multiply the decimal with the numerand (top of the fraction) and divide by the denominator ( bottom of fraction). Since one is positive ( greater than 0) and the other is negative the answer will always be negative.

Step-by-step explanation:

A fraction simply tells us how many parts of a whole we have.

To  multiply a decimal greater than 0 and a fraction less than 0 . first convert decimal into fraction.

Then, multiply numerator with numerator and denominator with denominator of both fraction.

For example,

                        [tex]0.5 * (-\frac{1}{2})\\\\\frac{1}{2} *(-\frac{1}{2} )\\\\-\frac{1}{4}[/tex]

Learn more:

https://brainly.com/question/1369626

Given the sector area,how can the radius be determined?from the radius how can the arc length be determined?

Answers

Convert to radians

Divide the measure of the angle itself

Multiply the measure of the angle by "A"

Mrs. Mason, coach of the math team, created the Venn Diagram shown to illustrate which upper-level math courses the team members have completed. How many members are on the math team? A) 6 B) 10 C) 16 D) 30

Answers

Answer: 16

Step-by-step explanation:

Give the solutions to 23 + √36

Answers

Answer: 29

Step-by-step explanation:

23 + √36

Square root of 36 means two same numbers that will give you 36 when multiplied which is 6

23 + √36

= 23+6

= 29

Answer:

29, -17.

Step-by-step explanation:

√36 = 6 , -6

So 23 + 6 = 29 and

23 - 6 = -17.

I need help please due today

Answers

Answer:

hi calm down I am here for you in the image there is a step by step explanation

x=3

y=-5

z=-4

8. The perimeter of Brianna's rectangular garden is 100 feet. The length of the garden is 1.5 times longer than
the width.


Answers

Answer:

Step-by-step explanation:

The perimeter of Brianna's rectangle garden is 100 feet. The length of the garden is 1.5 longer than the width

What is The factor to this problem?
A.(x+2)(x-9)
B.(x-3)(x-6)
C.(x-2)(x+9)
D.(x+18)(x-1)

Answers

Answer:

C) (x+9)(x-2)

Step-by-step explanation:

You need 2 numbers that will add up to be 7 and multiply to be -18

Need help if you can let me know thank you

Answers

Answer:

No, I don't think so.

Step-by-step explanation:

There are no right angles. Sorry If i'm wrong.

Maria had a package of crackers after she ate 8 of the crackers there were 14 crackers left in the package which equation can be used to fund the number of crackers that were in the package before Maria are the crackers?
A 8-c=14
B c-8=14
C 8/c=14
D c/8=14
Please pick the best answer

Answers

Answer:

B, because you would subtract the total from what she ate it will equal what she has left and since c represents the total then you would have the equation c-8=14.

Step-by-step explanation:

Increase £2193.67 by 8.5%
Give your answer roIncrease £2193.67 by 8.5%
Give your answer rounded to 2 DP

Answers

Answer:

£2380.23

Step-by-step explanation:

The increase will be 8.5% of £2193.76 added to £2193.76

That’s

8.5% of £2193.76

8.5% /100% x £2193.76

0.085 x £2193.76

£186.47

Increase = £2193.76 + £186.47

= £2380.23

Plzzzz help mehh and dont steal my cookies UwU

Answers

Answer:

31 sq m

Step-by-step explanation:

what plus -9 equals -3

Answers

Answer:

6

Step-by-step explanation:

adding a positive number make it be less negative

Answer:

6

Step-by-step explanation:

adding a positive will lower the negative number

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