Karen Gaines invested ​$10,000 in a money market account with an interest rate of 3.25​% compounded semiannually. Three years​ later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the​ account?

Answers

Answer 1

The total amount of money that Karen withdrew from her account three years later is $11,015.48.

How much did Karen withdraw?

When an amount earns a compound interest seminannually, it means that the amount invested and interest accured increases in value twice a year.

The formula for calculating future value:

FV = P (1 + r)^nm

FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years

$10,000 x (1 + 0.0325/2)^6 = $11,015.48

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Related Questions

Total price of all shares algebraically when g shares of stock for w dollars per share is purchased, when shares sold when they earned a 40% capital gain?

Answers

Question:

Zeke bought g shares of stock for w dollars per share. His broker told him to sell when they earn 40% capital gain. Express the total price of all shares algebraically when g shares of stock for w dollars per share is purchased, when shares sold when they earned a 40% capital gain?

Answer:

1.40w

Step-by-step explanation:

Find two numbers whose product is 110, and whose sum is 21.

Answers

Step-by-step explanation:

The answer is 10 and 11

10 + 11 = 21

10 × 11 = 110

BRAINLIEST GIVEN)The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?



Enter your answer in the box.

Answers

Answer:

238

Step-by-step explanation:

You have to find the area for each box and then you add all of them together

Answer:

238 mm²

Surface area of rectangular prsim = 2(lw + lh + wh)

Here,

length = 11 mm

width = 4 mm

height = 5 mm

area:

2*(4*11+5*11+5*4)238 mm²

Solve the simultaneous equations
5x + y = -5
5x – 3y = 11

Answers

The solution to the simultaneous equations, 5x + y = -5 and 5x – 3y = 11, is: (-1/5, -4)

What is the Solution of Simultaneous Equations?

The solution is the pair of values of x and y that is true for both equations.

Given the simultaneous equations,

5x + y = -5

5x – 3y = 11

Subtract

4y = -16

y = -4

Substitute y = -4 into equation 1.

5x + (-4) = -5

5x - 4 = -5

5x = -5 + 4

5x = -1

x = -1/5

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Convert the binary number 1101001 to decimal.

Answers

Answer:

105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀

HELP ME OUTT PPL (BRAINIEST)

Answers

Answer:

(0, 6)

Step-by-step explanation:

Point T is at (3, 4), and three units to the left would be (0, 4). They then tell us to go two points up, which would change the ordered pair to (0, 6).

I hope this was helpful! Have a lovely day! :D

What is the area of the trapezoid?
7 cm
10 cm
6 cm
7 cm
1
13 cm
O A. 43 cm?
O B. 60 cm?
O C. 70 cm?

Answers

Answer:

B. 60 cm²

Step-by-step explanation:

The formula for the area of a trapezoid is: [tex]\frac{1}{2}(b_{1} + b_{2} )h[/tex]

Plugging in the given values, we can solve:

[tex]\frac{1}{2} (13+7)(6)\\\\\frac{1}{2}(20)(6)\\\\10(6)\\\\= 60[/tex]

hope this helps!

two sides of a parallelogram are 5.8m and 8.2m long. Find the perimeter​

Answers

Answer:

5.8+5.8+8.2+8.2=28m

Step-by-step explanation:

If you want to find the PERIMETER  you just need to add up the length of all of the sides. No multiplication needed. Just add the numbers. Don’t forget that there are multiple sides so even though only two are labeled dont forget to add every single side that the shape has.

The radius of a circle is 5 meters. What is the length of a 180° arc?

Answers

Answer:

10 meters

Step-by-step explanation:

180° arc makes semi circle then it's diameter equal to its arc .

Find the slope of the line passing through (3,-4) and (3,8)

Answers

To find the slope ⇒ we must know the formula

   Formula = [tex]\frac{y2-y1}{x2-x1}[/tex]

(x1, y1) ⇒ (3, -4)(x2, y2) ⇒ (3,8)

Now let's solve and plug the known variables

     Slope = [tex]\frac{8-(-4)}{3-3} =\frac{12}{0}[/tex]

Nothing can be divided by zero

   ⇒ in this case, the slope is undefined

    *interesting fact: the line is vertical

Hope that helps!

QUESTION TWO a A Mercedes Benz mechanic, in determining whether to purchase a device of design A or design B, checks the times for completing a certain task on each device. Eight operators were used in the testing, with each operator using both device A and B in a randomized order. The times in seconds) required to complete the task are given in the following tables. B Operator A 1 32 2. 40 3 42 4 26 5 35 6 29 7 45 8 22 aaNION 30 39 42 23 36 27 41 21 a) At alpha level equal to 0.05; test to see if there is a significant difference between mean completion times. (5 Marks) b) Determine the 95% level of confidence interval for the difference between A and B. (5 Marks) .​

Answers

At alpha level equal to 0.05, there is no significant difference between mean completion times.

How to illustrate the significance level?

From the complete information, the test statistic will be:

t = [(33.875 - 32.375) - 0]/8.1472 × ✓0.25

t = 0.3682

The tabulated value is 1.76. Therefore, we will accept the null hypothesis. Therefore, there is no significant difference between mean completion times.

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Write [tex](8a^{-3})^{-2/3}[/tex] in simplest form.

Answers

Answer:

[tex] \frac{1}{64 {a}^{2} } [/tex]

Step-by-step explanation:

[tex](8 {a}^{ - 3} {)}^{ \frac{ - 2}{3} } [/tex]

[tex](8 a {)}^{ - 2} [/tex]

[tex] \frac{1}{ {8}^{2} {a}^{2} } [/tex]

[tex] \frac{1}{64 {a}^{2} } [/tex]

I think its correct

Find the volume of the prism please help and hurry

Answers

Answer:

volume is 360 i hope i uelped u

Evaluate the expression when a = 6 and x= -5.
-a + 8x

Answers

Answer:

-46

Step-by-step explanation:

when a= 6 and ×=-5

-a + 8×= -6+8×-5

= -6+(-40)= -6-40= -46

1 point
Item at position 12
Find x and the measure of angle P.

x =
Question Blank 1 of 2
type your answer...
,
angle P =
Question Blank 2 of 2
type your answer...
degrees

Answers

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all angles of triangle is 180

∠P + ∠Q + ∠R = 180

10x - 4  +4x - 22 + x +11 = 180

10x + 4x + x - 4 - 22 + 11 = 180

Combine like terms,

              15x  - 15 = 180

Add 15 to both sides

                     15x = 180 + 15

                     15x = 195

Divide both sides by 15

                         x = 195/15

x = 13

∠P = 10x - 4

     = 10*13 - 4

      = 130 -4

∠p = 126°

please help solve this math question

Answers

Answer:

4# |  267

Step-by-step explanation:

There are  3 numbers in the 40's in the data:

42, 46 and 47.

The slopes of perpendicular lines are ___ ___of each other, which means their products is -1.
A. fractional reciprocals
B. negative reciprocals
C. positive reciprocals ​

Answers

Answer:

Negative Reciprocals

Step-by-step explanation:

Consider two slopes being perpendicular to each other:

[tex]\displaystyle \large{m_1\cdot m_2=-1}[/tex]

You will either receive:

[tex]\displaystyle \large{m_1=-\dfrac{1}{m_2}}[/tex]

or:

[tex]\displaystyle \large{m_2=-\dfrac{1}{m_1}}[/tex]

Say, you want to find perpendicular slope of 4. You have first slope as 4 and another as unknown which is assigned as m variable:

[tex]\displaystyle \large{4m=-1}\\\displaystyle \large{m=-\dfrac{1}{4}}[/tex]

Therefore, 4 and -1/4 are perpendicular to each other. See that one slope is positives while another is negative. If you have negative slope then the perpendicular slope is positive.

Hence, they are indeed reciprocal but also negative as well.

You are mowing your neighbor's lawn. He is going to pay you $20.00 for the first two hours and $5.00 for anything after that. Which algebraic expression represents how much you will be paid for working h hours?

I NEED THIS ANSWER ASAP!!

Answers

Answer:

20+5(x-2) im pretty sure

Step-by-step explanation:

Rearrange the equation and solve for x.
2 = x2 + 6x + 11

Answers

Answer:

-3

Step-by-step explanation:

It's a lot of work, I'm not typing that into here

what is the answer to this equation help please 25x10x^{6}[/tex]

Answers

Answer:

I don't know answer It By Your Self

Ruby is painting her house. She uses 2 2/7 gallons of paint in the living room. To paint the kitchen, Ruby uses 5/8 of the amount of paint she uses in the living room. Which expression can be used to find the number of gallons of paint Ruby uses to paint the kitchen?

Answers

Answer:

ur momma

Step-by-step explanation:

yea so you take the 5/8 and the 2 and the 2/7 and you dd then subtract then divide

Amy, Bob, and Carl were using flour from a 7 cup container. Amy used 0.15 of the total container , Bob used 30% of the total container, and Carl used .5 cups of the container. Determine the amount that each person uses and list them from least to greatest.

Answers

Answer:

Amy, Carl, bob

Step-by-step explanation:

Amy = 7 - 0.15 = 6.45

Bob = 7 - 0.30 = 6.70

Carl = 7 - 0.5 = 6.5

Order from least to greatest is:

Amy (6.45)

Carl (6.5)

Bob (6.7)

There are 318 calories in six ounces of a certain ice cream. How many calories are there in one pound?
1 pound = 16 ounces

Answers

Answer:

795

Step-by-step explanation:

318 x 2 (to get 12 ounces)

636 + (1/2 x318) (to get 3 ounces)

636 + 159 (to get 16 ounce)

795

The number of calories in one pound is 848 calories.

Given that, there are 318 calories in six ounces of a certain ice cream.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of calories in 1 pound = 16 ounces

Here, 318:6::x:16

⇒ 6x=318×16

⇒ 6x=5088

⇒ x=5088/6

⇒ x=848

Therefore, the number of calories in one pound is 848 calories.

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A flower garden is shaped like a circle. Its diameter is 40yd. A ring-shaped path goes around the garden. Its outer edge is a circle with diameter 48yd.
The gardener is going to cover the path with sand. If one bag of sand can cover 6yd^2, how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for pi number .)

Answers

Answer:

About 5 bags of sand

Step-by-step explanation:

1. Create Equation

[(48x3.14)-(40x3.14)]/6

2. Solve

[(48x3.14)-(40x3.14)]/6

[150.72-125.6]/6

25.12/6

Now if you use a calculater you will get

4.1866666667

So lets just round the number to 5 instead of

4 beacuse if we round it to 4 it won't be enough

to cover the whole path.

so your answer is 5

In a school theater performance, 150 tickets were sold, some for $30 and others for $20, how many tickets were sold of each price if the total sale was $3,500?

Answers

Answer:

85 tickets for 20 dollars and 60 for 30

Step-by-step explanation:

my smart friend in AP calc said so

What is the smallest angle of a right triangle with sides 9, 40, and 41? Round your answer to the nearest degree, and enter the number only.​

Answers

Answer: 13°

Explanation: x = tan^-1 ( 9/40) ≈ 13°

in 1977, Pistol Pete Maravich led the NBA with 2273 points. In 2006, Kobe Bryant led the NBA with 2832 points. However, there were many differences between basketball in 1977 and basketball in 2006, including the number of teams and possibility of a three-point shot. The mean number of points for the top 110 players in 1977 was 1198 points with a standard deviation of 379 points. The mean nimber of yards for the top 150 players in 2006 was 1123 points with a standard deviation of 433 points. Who had the better performance, Maravich or Bryant? Explain your reasoning.

Answers

Using z-scores, it is found that due to the higher z-score, Bryant had the better performance.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The above bullet point means that higher z-scores mean a better performance.

For Maravich, we have that the parameters are [tex]X = 2273, \mu = 1198, \sigma = 379[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2273 - 1198}{379}[/tex]

Z = 2.84.

For Bryant, we have that the parameters are [tex]X = 2832, \mu = 1123, \sigma = 433[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2832 - 1123}{433}[/tex]

Z = 3.95.

Due to the higher z-score, Bryant had the better performance.

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Number two please asap

Answers

J

Step-by-step explanation:

both Rue and Zoe they earned that same amount after working for 4 hours as you see that both line both hit the point (4,24)

This graph shows a proportional relational between the distance traveled by Tim on a road trip and the number
of hours for which he traveled.
Distance Traveled by Tim
250
200
150
Distance (mi)
100
50
0
10
6 8
Number of Hours
Which statement identifies the correct slope and the correct interpretation of the slope for this situation?
50
A The slope of the line is
1
so the distance traveled by Tim is miles every hour.
50
B The slope of the line is so the distance traveled by Tim is miles every hours.
1
1
The slope of the line is
50
so the distance traveled by Tim is miles every hour.

Answers

Using the proportional relationship, it is found that the correct statement regarding the slope of the relation is:

The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality, which is also called the slope.

Researching the problem on the internet, it is found that in 2 hours, Tim traveled 50 miles, hence:

k = 50/2 = 25.

The slope of the line is of 25, so the distance traveled by Tim is 25 miles every hour.

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If f(x) = x^3 - 2x^2 , which expression is equivalent to f(i)?

O -2 + i
O -2 - i
O 2 + i
O 2 - i

Answers

[tex]\text{Given that,}~f(x)=x^3-2x^2\\\\f(i)=i^3-2i^2\\\\~~~~~~=i^2 \cdot i -2(-1)~~~~~;[i^2=-1]\\\\~~~~~~=-i+2\\\\~~~~~~=2-i[/tex]

The expression equivalent to f(i) is 2-i.

What is expression?

The expression is mathematical statement which consist of variables, numbers and connected by at least one operation.

Given that, a function f(x) = x³ - 2x², we need to find the expression equivalent to f(i),

To find the same we will put x = i,

So,

f(i) = i³ - 2i² [i = √-1]

= (√-1)³ - 2(√-1)²

= -i - 2(-1)

= -i+2

= 2-i

Hence, the expression equivalent to f(i) is 2-i.

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