a how much will he have in 4. At the age of 30, Jasmine started a retirement account with $50,000 which compounded interest semi-annually with an APR of 4%. She made no further deposits. After 25 years, she decided to withdraw 50% of what had accumulated in the account so that she could con- tribute towards her grandchild's college education. She had to pay a 10% penalty on the early withdrawal. What was her penalty?​

Answers

Answer 1

Answer:

6795.70

Step-by-step explanation:

smart people

Answer 2

After paying 10% penalty on the early withdrawal, Jasmine's penalty for the early withdrawal was calculated to be $5,352.24.

What is the compound interest?

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

here, we have,

We can use the formula for compound interest in ordr to solve this problem.

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal (starting amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, we have the following values,

P = $50,000

r = 1.75% = 0.0175 (since it is compounded semi-annually, n = 2)

t = 25 years

So the final amount after 25 years can be calculated as under

A = 50000(1 + 0.0175/2)^(2×25) = $107,044.84

Jasmine has withdrawn  50% of this amount, which is:

$107,044.84 × 0.5 = $53,522.42

She had to pay a 10% penalty on the early withdrawal, so her penalty would be:

$53,522.42 × 0.1 = $5,352.24

Therefore, the penalty of Jasmine penalty for the early withdrawal was $5,352.24.

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Related Questions

Determine the degree of the polynomial −57.

Answers

Answer:

zero (0)

Step-by-step explanation:

The degree of the polynomial -57 is zero (0).

Hope it helps you in your learning process.

help not understanding this one

Answers

Answer:

3/m²³

Step-by-step explanation:

REWRITE

[tex]\sqrt{\frac{36m^2}{4m^24} } =\frac{\sqrt{36m^2} }{\sqrt{4m^24} }[/tex]

DISTRIBUTE SQ ROOT

[tex]\sqrt{36m^2} =\sqrt{36} \sqrt{m^2}= 6m[/tex]

[tex]\sqrt{4m^24} =\sqrt{4} \sqrt{m^24} =2m^12[/tex]

SIMPLIFY

[tex]\frac{6m}{2m^24} =\frac{3m}{m^24} =\frac{3}{m^23}[/tex]

Hope this helps!

If you were to roll two dice, what is the probability that the sum of the numbers showed on the dice is greater than 5?

Answers

The probability that an outcome is greater than 5 is the likelihood of the outcome

The probability that the sum of the numbers showed on the dice is greater than 5 is 13/18

How to determine the probability?

The sample size of a roll of two dice is:

n(S) = 36

The number of outcomes that have a sum greater than 5 is:

Greater than 5 = 26

So, the required probability is:

P = 26/36

Simplify

P = 13/18

Hence, the probability that the sum of the numbers showed on the dice is greater than 5 is 13/18

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PLSSS HELP
State the equation of the exponential function that has the
following features. (2 marks)
• It has the x-axis as an asymptote.
• It passes through (0,—i), (—1,—3), and (—2,—9).

Answers

An exponential function that has the x-axis as an asymptote, and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.

What is an exponential function?

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=ab^x[/tex]

Here, x is the variable in the power of a number.

State the equation of the exponential function that has the following features.

It has the x-axis as an asymptote.It passes through (0,—1), (—1,—3), and (—2,—9). For the point (0,-1)

[tex]-1=ab^{(0)}\\-1=a\times1\\a=-1[/tex]

For the point (-1,-3)

[tex]-3=ab^{(-1)}\\-3=\dfrac{a}{b}\\[/tex]

Put, the value of -1 in the above equation,

[tex]-3=\dfrac{-1}{b}\\b=\dfrac{1}{3}[/tex]

Thus, the exponential function,

[tex]y=-1(\dfrac{1}{3})^x\\y=-\left (\dfrac{1}{3}\right)^x[/tex]

Hence, an exponential function that has the x-axis as an asymptote and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.

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What is the missing length?
10 yd
=
Area of shaded region
50 yd?

Answers

Answer:

v = 10 yd

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 10 , h = v and A = 50 , then

[tex]\frac{1}{2}[/tex] × 10v = 50

5v = 50 ( divide both sides by 5 )

v = 10

A VIAL OF PIPERACILLIAN 4 G IS RECONSTITUTED WITH 2 Ml OF NORMAL SALINE TO YEILD 2g/mL. What is the concentration of the medication if the patient is to receive 1 mL OF THE MEDICATION? A.1.0g B. 1.5g C. 2.0g D. 2.5g

Answers

Answer:

2 gm

Step-by-step explanation:

2 gm / ml  *  1 ml   = 2 gm

a simple random sample of earthquake depths yields the following:
n=600, x=5.82 km, and s=4.93 km
use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00km

Answers

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region.

Test-Static t

Data;

mean = 5.82s = 4.93n = 600

Let's calculate the t-value

[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }[/tex]

Substitute the values into the equation and solve;

[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079[/tex]

The t-value is 4.079

The allowed significance value = 0.01

The degree of freedom is n -1, which becomes 600 - 1 = 599.

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.

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HELPPPPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

162

Step-by-step explanation:

to find the surface area of the rectangles do base x height

5 x 10 = 50

there are 3 sides on a triangle so do 50 x 3 = 150

now we need to find the area of the triangles

the formula for the surface area would be base x height ÷ 2

3 x 4 = 12

12 ÷ 2 is 6

because there are 2 triangles you would need to multiply it by 2

6 x 2 is 12

add it all together

12 + 150 is 162

When K is positive the parabola ____

Answers

Answer:

when the parabola form updward

than k is positive

3. The area of a gym is 2,387 square feet. The area of the bathroom is 7
times less than the area of the gym. What is the area of the gym?

Answers

Answer:

795.6?

Step-by-step explanation:

The Area of Bathroom is 391.714 square feet.

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

Area of Gym = 2387 square feet.

Area of Bathroom is 7 times less than the area of the gym.

So, Area of Bathroom

7x = 2387 + 341

7x = 2728

x= 391.714

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solve by using properties of whole number
a,16×25×10×4 b,49×99​

Answers

Answer:

Step-by-step explanation:

a.16×25×10×4

= 100 * 160

= 16,000

b,49×99​

= 49 * 100 - 49

= 4900 - 49

= 4,851.

A city has 15 stations, including 6 hip hop stations. What is the possibility that a randomly chosen radio station in the city was a hip-hop station? Write your answer as a fraction or whole number.

Answers

Answer:

I'm pretty sure the answer is 6½

Your sister Samantha is turning 48 in April. She is 3 times older than your brother John, and twice as old as you. How old is your brother John?

Answers

Is john 16?
Since samantha is 48 and she is 2 times older than me, that means im 24 (48/2) and since 3 times older than john that means 48/3= 16. John is 16

The two figures are similar. Write the similarity statement. Justify your answer using factor and showing all work. Describe (in general since it isn't on a graph) the transformations from ABC to the new figure. Please don't troll this is for a unit test!!!!
First Triangle
A to B: 40
B to C: 60
C to A: 50

Second Triangle
X to Y: 31.25
Y to Z: 25
Z to X: 37.5 ​

Answers

Answer:

B to C;60

Step-by-step explanation:

Z to X;37.5      CORRECT ME IF IM WRONG   #Carryonstudents

For f(x) = 2 – 2x2, evaluate f(-4).

Answers

Answer:

x = 1 ± [tex]\sqrt2[/tex]

Step-by-step explanation:

Hope this helped! Have a nice day!
Please give Brainliest when you can.

- King Jaron

i need help ill give uh 15?

Answers

Answer:

The answer is b- 1/4 = 4 3/4

Step-by-step explanation:

B stands for the total amount of chocolate bars they started with.

Gabby ate 1/4 of those chocolate bars.

4 3/4 of the chocolate bars were left after that.

So, total amount of bars - what Gabby ate =  chocolate bars that are left

b - 1/4 = 4 3/4

Please help I'll mark barinliest

Answers

The answer is ; median

Two vertices of a right triangle have coordinates (37) and (310). The segment that connects these points is a leg of the triangle
Which set of coordinates for the third vertex would create a night triangle?
OS)

Answers

Answer:

(7, 8)

I hope my answer helps you.

FIND THE VALUE OF X FOR BRAINLIEST!!! :D

Answers

Answer:

x = 41

Step-by-step explanation:

x = 180 - 97 - 42

x = 41

Sum of the triangle = 180

I hope my answer helps you.

Answer:

x° = 41°

Step-by-step explanation:

x° = (180-42- 97)° = 41°

Hope this helps

Find the value of cos F rounded to the nearest hundredth, if necessary

Answers

Using the trigonometric ratios, the value of cos F in the right angle triangle is 0.28 .

What are right angle triangle?

Right angle triangle are triangle that has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore,

cos F = adjacent / hypotenuse

adjacent = FE

hypotenuse = 50

50² - 48² = FE²

FE = √2500 - 2304

FE = √196

FE = 14

Therefore,

cos F = 14 / 50

cos F = 0.28

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ASKING AGAINN COMONN YALL

Answers

Answer:

20 units

Step-by-step explanation:

The y axis is 2-6 so subtract 6 and 2 which is 4

the x axis is 3-9 so subtract 9 and 3 which is 6

The other sides are the same

4+4+6+6= 20

a computer screen is 22cm by 12cm. what is the perimeter of the screen

Answers

Answer:

The perimeter is 68 cm.

Step-by-step explanation:

Two sides of 22cm = 44cm

Two sides of 12 cm = 24 cm

44cm + 24cm = 68cm.

giving brainliest! need this one question soon, thank you so much!

Answers

Answer:

7.014m

Step-by-step explanation:

[tex] \frac{11.3}{2.9} = \frac{h}{1.8} \\ h = \frac{11.3 \times 1.8}{2.9} \\ h = 7.013793103448275 \\ h = 7.014m[/tex]

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In which data set is the mean greater than the median?

Answers

According to the skewness of each data-set, the first histogram has a mean greater than the median.

What is the relation between mean, median and skewness?

If the mean is greater than the median, the data is positively(right) skewedIf the mean is less than the median, the data is negatively(left) skewed

In this problem, for the mean greater than the median, we want a right-skewed data, which is given by the first histogram.

More can be learned about a data-set skewness at https://brainly.com/question/1446134

Answer:

B

Step-by-step explanation:

took test

The triangle shown below has an area of 22 units, 4 Find the missing length. = units​

Answers

Answer:

11

Step-by-step explanation:

The formula for the area of a triangle is bh(1/2).

We can model an equation with:

22=4x(1/2)

multiply both sides by 2

44=4x

x=11

Old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats. How many grams of carbohydrates are available in 2 1/4 cups of dry oats?

Answers

there would be 243 carbohydrates in 2.25 cups.

There 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats.

We have to determine the number of grams of carbohydrates available in 2 1/4 cups of dry oats.

Let x grams of carbohydrates be available in 2 1/4 cups of dry oats.

As per the given information, we can write the ratio would be as:

27 grams of carbohydrates : 1/2 cup of dry oats = x grams of carbohydrates : 2 1/4  cup of dry oats

⇒ 27/ (1/2) = x/(2 1/4)

⇒ 27/ (1/2) = x/(9/4)

Reciprocal the term in the numerator,

⇒ 27 × 2 = x × 4/9

Apply the cross-multiplication operation,

⇒ x = 54 × 9/4

⇒ x = 121.50

Thus, there are 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.

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IM STUCK CAN SOMEBODY SOLVE THE EQUATION

Answers

Step 1: Figure out how many years 2020 is after 1998

2020 is 22 years after 1998, therefore we should plug in 22 for x.

Step 2: Plug in known values

The only unknown variables in this equation are S and x. We just found out what x is, which leaves S for us to figure out by solving.

S - 1.5(22) = 5.1

Step 3: Solve

Now, all that's left to do is solve for S.

S - 1.5(22) = 5.1

S - 33 = 5.1

S = 38.1

Answer: 38.1 billion dollars

Hope this helps!

A 100g apple is placed on a table. What is the force in newtons of the apple on the table?

Answers

Answer:

1N

Step-by-step explanation:

Assuming acceleration of gravity=10m/s²

Force=100/1000kg×10m/s²=1N

I might be wrong but maybe 6.9 decrees? Sorry I’m a 6 grader

Match the verbal expression (term) with its algebraic expression (definition).

Match Term Definition
Some number increased by two A) a ÷ 2
A variable decreased by two B) y2
Product of an unknown value and two C) 2z
Quotient of some number and two D) x − 2
An unknown value squared E) b + 2

Answers

Answer:

some number increased by two: (E) b+2

A variable decreased by two: (D) x-2

Product of an unknown value and two (C) 2z

Quotient: (A) a / 2

An unknown value squared: (B) y2

What is the value of b?



Enter your answer in the box.
b =

A right triangle with base labeled as b. The hypotenuse is labeled as 34. The perpendicular is labeled as 16. The angle made between base and perpendicular is marked as a right angle.

Answers

Answer:

30

[tex]b = \sqrt{ {c}^{2} - {a}^{ {2} } }[/tex]

[tex]b = \sqrt{ {34}^{2} - {16}^{2} } [/tex]

[tex]b = \sqrt{1156 - 256} [/tex]

[tex]b = \sqrt{900} [/tex]

[tex]b = 30[/tex]

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