An initial investment of 480$ is appreciated for 2 years in an account that earns 7% interest, compound quarterly. Find the amount of money in the account at the end of the period.

Answers

Answer 1

Answer:

The answer is $1,175.34


Related Questions

Given h(x) = -x + 5, find h(-5).

Answers

Answer:

10

Step-by-step explanation:

h(x) = -(-5) + 5

h(x) = 5 + 5

h(x) = 10

h(x)= -x^3-2x^2-3x+4; x=2

Answers

Answer:

h(2) = -18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

h(x) = -x³ - 2x² - 3x + 4

x = 2

Step 2: Evaluate

Substitute:                    h(2) = -(2)³ - 2(2)² - 3(2) + 4Exponents:                   h(2) = -8 - 2(4) - 3(2) + 4Multiply:                        h(2) = -8 - 8 - 6 + 4Subtract:                       h(2) = -16 - 6 + 4Subtract:                       h(2) = -22 + 4Add:                              h(2) = -18

∠A and ∠ B ∠B are supplementary angles. If m ∠ A = ( 2 x + 27 ) ∘ ∠A=(2x+27) ∘ and m ∠ B = ( x + 27 ) ∘ ∠B=(x+27) ∘ , then find the measure of ∠ B ∠B

Answers

Answer:

[tex]B = 69[/tex]

Step-by-step explanation:

Given

[tex]A = 2x +27[/tex]

[tex]B = x +27[/tex]

Required

Determine B

First, we need to solve for x

Since both angles are supplementary, then

[tex]A + B = 180[/tex]

Substitute values for A and B

[tex]2x + 27 + x + 27 = 180[/tex]

Collect Like Terms

[tex]2x + x = 180 - 27 - 27[/tex]

[tex]3x= 126[/tex]

Divide through by 3

[tex]x = 42[/tex]

Recall that:

[tex]B = x +27[/tex]

Substitute 42 for x

[tex]B = 42 + 27[/tex]

[tex]B = 69[/tex]

Simplify
A) 3y-y
B)6q+4- q + 5
Thanks to who ever answers:)

Answers

Answer:

=3(y-y)

=3

= 6q-q+9

=q(6-1)+9

=5q+9

Mr. Smith marked up the price of his sofa by 15%. If the sofa originally cost $399, what is the new sale price?

Answers

Answer:

457.8

Step-by-step explanation:

Answer is 458.

Percent increase = [(new value - original value)/original value] * 100

So
15%= [(x-399)/399]*100

The graphs below have the same shapes what is the equation of the blue graph

Answers

A or D the blue graph is going to the right meaning positive

Q1 a) Kamahi invests some money which earns compound interest every year. His investment
amounts to sh60, 500 at the end of the second year and sh 73,205 at the end of the fourth year. Find
the rate of interest of the investment.
(5 marks)​

Answers

Answer: 2=2

Step-by-step explanation:

Without any more information, it sounds like interest is compounded continuously, in which case the value of the investment A is given by

[tex]A=Pe^{rt}[/tex]

where P is the principal investment, r is the interest rate, and t is the number of years.

At the end of the second year (t = 2), the value is A = 60,500, and after the fourth year (t = 4), the value is A = 73,205. So solve the system

[tex]\begin{cases}60,500=Pe^{2r}\\73,205=Pe^{4r}\end{cases}[/tex]

for r. You can eliminate P by dividing

[tex]\dfrac{Pe^{4r}}{Pe^{2r}}=\dfrac{73,205}{60,500}\implies e^{2r}=\dfrac{121}{100}[/tex]

Take the logarithm (log here means natural log) of both sides to get

2r = log(121/100)

r = 1/2 log(121/100)

r ≈ 0.0953

So the interest rate is about 9.53%.

The last 40 boat rentals at a boat rental company were 22 sunfish, 10 kayaks, and 8 rowboats.

Answers

So whats the question my guy??

Using the given zero, find all other zeros of f(x).
PLEASE HELP
-2i is a zero of f(x) = x4 - 5x2 - 36

2i, 6i, -6i
2i, 3i, -3i
2i, 6, -6
2i, 3, -3

Answers

Answer:

((x-4) - 5x2) - 36 = 0 ... 3.2 Find roots (zeroes) of : F(x) = 5x6 + 36x4 - 1 ..............

2i, 6, -6

Step-by-step explanation:

Helen and Stephanie par
cipated in the Christmas bird count. Helen
counted four less than twice the number of birds that Stephanie counted. If c
represents the number of birds Stephanie counted, which of the following
expressions gives the number of birds that Helen counted?

Answers

i really really really like birds

write the ratio as a fraction in simplest form.

56 days to 5 weeks​

Answers

Answer: 8 weeks

Step-by-step explanation:

please tell fast plzzzzzzz​

Answers

Answer:

[tex]\huge\boxed{\sf k = 2}[/tex]

Step-by-step explanation:

Coordinate = (x,y) = (2k-1,k)

This means that:

x = 2k - 1 and y = k

Put it in the given equation: 5x - 4y = 7

5(2k-1) - 4k = 7

10k - 5 - 4k = 7

6k - 5 = 7

Adding 5 to both sides

6k = 7+5

6k = 12

Divide both sides by 6

k = 2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Given ΔACP≅ΔLNX, find each missing measure.

Answers

Answer:

XL = PC

AC = NX

PC = XL

Angle L = Angle C

Angle C = Angle L

Angle X = Angle P

Step-by-step explanation:

Solve the equation -3=6x-3y for y

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

-3 = 6x - 3y

Add 3y to both sides.

3y - 3 = 6x

Add 3 to both sides.

3y = 6x + 3

Divide both sides by 3.

y = 2x + 1

What is the slope of the line represented by the equation Y=4/5x-3?

Answers

I guess this the right answer

Write 3 expressions that are equivalent to 9x(78)


Example:9(80-2)

Answers

1. 9(70+8)
2. 3²(78)
3. 9(39x2)

Answer:

3*3(156/2)9(95-17)10-1(80-2)

3x-8y=-2 and 14x+8y=36

Answers

Answer:

X=2

Y=1

Step-by-step explanation:

........... Solution on the photo above

khloe and her children went into a movie theater where they sell bags of popcorn for $7 each and candies for $4 each. khope has $60 and must buy no less than 11 bags of popcorn and candies altogether. if x represents the number of bags of popcorn purchased and y represents the number of candies pruchased, write and solve a system of inequalities and determine one possible solution

both inequalities must start with y​

Answers

Answer: Khloe could buy 3 bags of popcorn and 9 candies.

Step-by-step explanation:

\underline{\text{Variable Definitions:}}

Variable Definitions:

x=

x=

\,\,\text{the number of bags of popcorn}

the number of bags of popcorn

y=

y=

\,\,\text{the number of candies}

the number of candies

\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}

“no less than 11 items"→11 or more items

Use a \ge≥ symbol

Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:

x+y\ge 11

x+y≥11

\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}

“$60 to spend"→can spend $60 or less

Use a \le≤ symbol

One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:

7x+4y\le 60

7x+4y≤60

\text{Solve each inequality for }y\text{:}

Solve each inequality for y:

\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}

x+y≥11

y≥11−x

 

7x+4y≤60

4y≤60−7x

y≤

4

60−7x

y≤15−

4

7

x

Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−

4

7

x by shading down:

0

the number of bags of popcorn

the number of candies

x

y

0

the number of bags of popcorn

the number of candies

(3, 9)

Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:

Khloe could buy 3 bags of popcorn and 9 candies.

The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Now , the total number of bags should be no less than 11

And , the inequality is

x + y ≥ 11   be equation (1)

And , cost of each popcorn bag = $ 7

So , the cost of x bags = 7x

And , cost of each candy bag = $ 4

So , the cost of y bags = 4y

The total amount with Khloe = $ 60

And , the inequality is

7x + 4y ≤ 60   be equation (2)

On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution

So , 7 ( 3 ) + 4 ( 9 ) ≤ 60

21 + 36 ≤ 60

57 ≤ 60

And , 3 + 9 ≥ 11

12 ≥ 11

Hence , the system of inequalities are solved and the graph is plotted

To learn more about inequality equations click :

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WILL GIVE BRAINLIEST!!!

Ignore the "$".

Jenny's grandmother has $24$ cats. Seventeen of the cats do not catch mice. Ten of the cats have black fur. What is the smallest possible number of cats that do not catch mice that have black fur?

Answers

Answer:

Note that  24  - 10  =  14  don't have black  fur

 

And suppose  that these 14 are part of the 17 that don't catch mice

Then.....3 that catch mice  must also have black fur....and this is the smallest number that do not catch mice but have black fur

Rani ate 2/7 of the cake while her brother ate 4/5 part of the remaining. part of the cake left is?​

Answers

Answer:

Nothing left

Step-by-step explanation:

Nothing left

2/7+4/5=38/35

1 3/35

Answer:

[tex]\frac{1}{7}[/tex]

Step-by-step explanation:

Amount of cake Rani ate = [tex]\frac{2}{7}[/tex]

You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.

Amount of cake brother ate = [tex]\frac{4}{5}[/tex] × ([tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex])

                                               = [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{7}[/tex]

                                               = [tex]\frac{4}{7}[/tex]

Amount of cake left = [tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex] - [tex]\frac{4}{7}[/tex]

                                 = [tex]\frac{1}{7}[/tex]

One factor of x^2 + 5x - 24 is?

Answers

Answer:

(x-3)(x+8)

Step-by-step explanation:

Answer:

(x-3)(x+8) take your pick

PLEASE HP ME I WILL GIVE BRAINLIST!!!!!!!!!!!!!!!!
Luke has a savings account with an initial balance of $380. He makes two transactions.
After the two transactions, the balance of Luke's savings account is the same as the
initial balance.
Which of the following could be the two transactions that Luke made?
a. A withdrawal of $200 and a deposit pf $180
b. A withdrawal of $215 and a deposit of $215
C. A withdrawal of $200 and a withdrawal of $180
d. A deposit of $400 and a withdrawal of $20

Answers

Answer:

If Luke ends up with the same as the start $380 that means he withdrew and deposited the same amount. Answer will be b.

Step-by-step explanation:

$380 - $215 = $ 165

$165 + $215 = $ 380

Answer:

10

Step-by-step explanation: r+6+5

2q-r=p, r=q-s, p=q+2r prove s=2r

Answers

Answer:

s=2r

Step-by-step explanation:

Solution:

Given;

2q-r=p

r=q-s

or,q=r+s

p=q+2r

To prove: s=2r

Now,

2q-r=p

or,2(r+s)-r=q+2r

or,2r+2s-r=r+s+2r

or,r+2s=3r+s

or,s=2r

PROVED

If you want any other solutions follow me

THANK YOU

By using the substitution method we can prove s = 2r.

Given,

2p - r = p

r = q - s

p = q + 2r

We need to prove s = 2r.

What is a substitution method?

It is a method where we substitute the value of one variable in one equation for the same variable in the other equation.

Example:

x + 4 = y _____(1)

x = y - 4

x + 5 = 2y ______(2)

Putting x = y - 4 in (2)

y - 4 + 5 = 2y

-4 + 5 = 2y - y

1 = y

y = 1

Prove s = 2r.

We have,

2q - r = p ____(1)

r = q - s _____(2)

p = q + 2r ______(3)

From (1) and (2)

Substituting (2) in (1)

2q - (q - s) = p

2q - q + s = p

q + s = p _____(4)

Putting (4) in (3)

q + s = q + 2r

q - q + s = 2r

s = 2r

Hence proved.

Thus we can prove s = 2r.

Learn more about how to prove a given expression here:

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I do not understand how you can do this without more information.

Answers

Answer:

Step-by-step explanation:

I think you are correct. The bottom of the drawing has to have a width or someway of finding it. Also the breakup of the height needs some sort of clue where that breakup occurs.  I think you likely have to ask your instructor.

The image above is a parallelogram because both pairs of opposite sides are parallel by the converse of the
Alternate (Interior Exterior) Angle Theorem.
Write which word should go in the underlined space after the word Alternate?
Directions for answering:
Choose the correct word in the parenthesis in the sentence above and type it exactly as shown into the answer
space.

Answers

Answer:

msnsjakzooapaozoziznzn zjzkzkamamz xnejiqpwkx

t is -40°F on a cold night in the North Pole. When the sun is out the next day, it is -5°F. What is the difference in temperatures?

Answers

Answer:

because at 40 its still warm but really cold  but in -5 its cold wherever you go even in the warmest blanket

Step-by-step explanation:

Which of the following is equivalent to 17g2 – 2g2?

Answers

Answer:

whichever equation equals =15g2

Step-by-step explanation:

Answer:

(17 – 2)g ^2

Step-by-step explanation:

At the local bookstore, Jim bought 2 paperback books for $13.00. Maria bought 5 paperback books for $32.50. Tanya bought 7 paperback books for $45.50. Graph the situation.

Answers

Answer:

Hi

Step-by-step explanation:

Kendal bought x boxes of cookies to bring to a party. Each box contains 12 2 points
cookies. Someone else brought 24 cookies. Let 'y' represent the total
number of cookies at the party. Show an equation in SLOPE-INTERCEPT
FORM that models this situation. Kendal brings 60 boxes to the party. How
many cookies in total were at the party?

Answers

9514 1404 393

Answer:

y = 12x +24744

Step-by-step explanation:

If there are x boxes, each containing 12 cookies, then the number of cookies in the boxes is 12x. If there are 24 more cookies than that at the party, we have ...

  y = 12x +24 . . . . . equation modeling party cookies

__

For x=60, the number of cookies at the party is ...

  y = 12·60 +24 = 720 +24

  y = 744 . . . cookies at the party

4/3 in a mixed numbers

Answers

4/3 as a mixed number will be 1 1/3.

Answer:

the answer is

[tex]1 \frac{1}{3} [/tex]

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