Karen Gaines invested $13,000 in a money market account with an interest rate of 3.25% compounded Semiannually. Four 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?

Answer:

35/3

Step-by-step explanation:

[tex]\frac{x+6 + 6x+2+x+6}{3} =4x-7[/tex]

Simplify to get

9x+14=3(4x-7)

35=3x

x=35/3 or 11.66

Answer:

1 think 89

Step-by-step explanation:

A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is D.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

A.) x²−4x+1=0

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(1)(1)}}{2(1)}\\\\x = \dfrac{4 \pm \sqrt{16 - 4}}{2}\\\\x = \dfrac{4 \pm \sqrt{12}}{2}[/tex]

x = 2 ± √3

B.) x²−18=0

    x² = 18

    x = √18

C.) x²+6x+7=0

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(6) \pm \sqrt{(6)^2 - 4(1)(7)}}{2(1)}\\\\x = \dfrac{-6 \pm \sqrt{36 - 28}}{2}\\\\x = \dfrac{-6 \pm \sqrt{8}}{2}[/tex]

x = -3 ± √2

D.) x²−6x+7=0

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4(1)(7)}}{2(1)}\\\\x = \dfrac{6 \pm \sqrt{36 - 28}}{2}\\\\x = \dfrac{6 \pm \sqrt{8}}{2}[/tex]

x = 3 ± √2

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Answer:

96 pages

Step-by-step explanation:

This is because she reads 16 pages per hour so we just multiply 16 by 6 hours. And we get 96 pages.

Answer:

B. 96 pages

Step-by-step explanation:

8 pages in 30 minutes.

16 pages in 60 minutes. ( 8 x 2 = 16 pages)

60 min = 1 hour

16 pages in 1 hour.

16 x 6 = 96 pages in 6 hours

Jin (WWH) spends 18.55 for every 7 tacos he gets. That means he spends 18.55÷7 for every taco he gets.

18.55÷7 = 2.65

Now you need to find how much he spends for 15 tacos. If one taco is 2.65, you need to multiply 15 by 2.65 to find the price for 15 tacos.

2.65×15=39.75.

Jin will have to pay $39.75 for 15 tacos.

Answer:

A

Step-by-step explanation:

i pick that answer because u have yo flip the number around

The inverse of the function is:

f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the inverse of the function, we need to switch the x and y variables, and then solve for y.

So, we start by writing the function in terms of y:

y = f(x) = {-2, 3, 8, 13} corresponding to x = {-1, 0, 1, 2}

Now we switch the x and y variables:

x = f(y) = {-2, 3, 8, 13} corresponding to y = {-1, 0, 1, 2}

Next, we solve for y:

For x = -2, y = -1

For x = 3, y = 0

For x = 8, y = 1

For x = 13, y = 2

Therefore,

The inverse of the function is:

f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}

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Answer:

In 1 hour you *COUGHS* a car can travel 102 miles

Step-by-step explanation:

1530 miles: 15 hours

so let's say x is how many hours there are in 1 hour.

x miles: 1 hours

15 hours to: 1 hour?

what do you think you should do?

I'll give ya a hint, it's a ratio

HINT HINT: divide 15 hours by 15 to get 1 hour. You think u can do the same to 1530 miles? just divide it by 15

Answer:

false

Step-by-step explanation:

Exponents is basically that number multiplied by itself however many times the number on top is , so lemme just give a quick example, [tex]7^4[/tex] would be 7*7*7*7=2401

so

[tex]16^1[/tex] would just be sixteen  because any number to the power of 1 is that number

[tex]8^2[/tex] is 8*8 which gives us 64,

16 does not equal 64, so its

False

Answer:

No

Step-by-step explanation:

In subtracting, you must start with the larger number

Answer:

z-1/-3

Step-by-step explanation:

z-1=-3a

z-1/-3=a

Answer:

600 is the answer

Step-by-step explanation:

I literally just took the test! Hope dis helps.

Answer:

600

Step-by-step explanation:

I took this test on USA test prep and got this question it correct

Answer: C

- Thompson’s insurance is cheaper even if Tara and Levi experience an incident that results in severe damage or loss to their income

Step-by-step explanation: I literally just got finished with the test, hope this helps.

Thompson’s Insurance is cheaper even if Tara and Levi experience an incident that results in severe damage or loss to their home.

Given are the information,

House valued at $425,000

AAA Insurance: $0.38 per 100 with a $500 deductible

425,000 / 100 = 4,250

4,250 x 0.38 = 1,615 annual premium

Thompson’s insurance: $0.26 per 100 with a $1000 deductible

425,000 / 100 = 4,250

4,250 x 0.26 = 1,105 annual premium

The difference we can see are :

If an incident occurs that results in damage or loss to their home, the couple shall shell out 500 before AA Insurance can take over payment for expenses.

On the other hand, the couple will shoulder 1,000 before Thompson’s insurance take over payment for expenses in the event there is an incident that results in damage or loss to their home.

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Answer: 53.36

Step-by-step explanation:

Answer:

Monika gets £90

Step-by-step explanation:

Let us use the ratio method to solve this question

∵ Monika and Robert are Two factory workers

∵ They win the in-house raffle with a prize of £240

∵ Monika and Robert share the prize money in a ratio of 3: 5

→ That means the total of the ratio is equivalent to the value of the prize

∵ The total of the ratio = 3 + 5 = 8

→ By using the ratio method

→  Monika  :  Robert  : Total

→   3           :   5           :   8

→   x           :   y            :   240

→ By using the cross multiplication

∵ x × 8 = 3 × 240

∴ 8x = 720

→ Divide both sides by 8

∵ [tex]\frac{8x}{8}[/tex] = [tex]\frac{720}{8}[/tex]

∴ x = 90

∵ x represents the share of Monika

∴ Monika gets £90

Step-by-step explanation:

Slope (m) =ΔYΔX=12=0.5θ =arctan(ΔY)ΔX=26.565051177078°ΔX = 6 – 4 = 2ΔY = 10 – 9 = 1Distance (d) = √ΔX2 + ΔY2 = √5

= 2.2360679774998

Answer:

NO because

Step-by-step explanation:

1/2+1/2+1/4=1 1/4

1/2=25min

25+25+12.5=62.5

It would take 62.5 min to do 1 1/4 acres

Answer:

4 !

Step-by-step explanation:

Using the slope formula, you can take two of those sets of points to find the slope! i used the first two.

(-2, -10) and (-1, -6)

[tex]m= \frac{-6 - -10}{-1 - -2} = \frac{4}{1} = 4[/tex]

So the slope is 4!

I hope this helped!! Have an amazing day <3

Answer:

it bb

Step-by-step explanation:

Answer:

6/25

Step-by-step explanation:

0.24

24/100

12/50

6/25

Answer:

Step-by-step explanation:

Note: the question did not provide the quantity to work with, so we will assume some values, say quantity Q= 30

Generally, it is normal for the revenue to decrease when the price of a commodity increase, this is so that buyer will have to react to adjust to the change in price.

When price increase from $50 to $60, the total revenue will decrease

let say the quantity Q1=30 , and the new quantity after price increase is Q2=20

1. The revenue PxQ before price change will be

PxQ= P1xQ1=50*30

PxQ= $1500

1. The revenue PxQ after price change will be

PxQ=P2xQ2= 60*20

P2xQ2= $1200

This clearly shows that based on the assumed data, the total revenue will drop from1500 to 1200, a total of $300 in a decrease

Answer:

It's 21

Step-by-step explanation:

12/16 = x/28

cross multiply

16x = 336

divide by 16 on both sides

you get x = 21

I just did a test and got it right

Answer:

a = 4.5

Step-by-step explanation:

In easy way you can understand by this simple way

if 4m half is 2m

so, 9m half is 4.5

in simple way answer

Step-by-step explanation:

on 1 September they will have same practice day....

Answer:

See Explanation (Incomplete Question)

Step-by-step explanation:

The question is incomplete as the distance of the Green tail is not given.

Given

[tex]Teams = 4[/tex]

Required

Determine the distance covered by each

Since each team would cover the same amount of distance, the distance covered by each is the total distance divided by 4.

In other words,

[tex]Each = \frac{Total\ Distance}{4}[/tex]

Assume the total distance of the green tail is 9 miles, the distance by each would be:

[tex]Each = \frac{9}{4}[/tex]

[tex]Each = 2.25\ miles[/tex]

Answer:

9

Step-by-step explanation:

Answer:

i think its negative 9 because The absolute value of −9 is 9

Step-by-step explanation:

have a great day!

Answer:15.70

Step-by-step explanation:The formula for the circumference is 2πr. Plug-in the number provided into the formula, since diameter is double the radius you just divide the 5 by 2 to get 2.5.

So, 2π2.5=15.70

2 time π =6.28

6.28 time 2.5= 15.70

Answer:

The value of x is : [tex]\mathbf{8\sqrt{2}}[/tex]

Option C is correct.

Step-by-step explanation:

We need to find value of x

We are given Perpendicular = 8

Hypotenuse = x

and Ф= 45°

Using trigonometric identity

[tex]sin \theta=\frac{Perpendicular}{Hypotenuse}[/tex]

Putting values and finding x

[tex]sin \theta=\frac{Perpendicular}{Hypotenuse}\\sin \ 45^o=\frac{8}{x}\\\frac{1}{\sqrt{2} }= \frac{8}{x}\\\frac{1}{\sqrt{2} }x=8\\x=8\sqrt{2}[/tex]

So, the value of x is : [tex]\mathbf{8\sqrt{2}}[/tex]

Option C is correct.