Guided Practice


Find the balance in the account.


$500 principal earning 4% compounded quarterly, after 6 years.


A.
$632.66


B.
$530.76


C.
$634.87

Answers

Answer 1

Answer:

C.

$634.87

Step-by-step explanation:

A=500×(1+0.04÷4)^(4×6)

A=634.87


Related Questions

8x – 3 = 11 + 6x
What is x

Answers

Answer:

x = 7

Step-by-step explanation:

[tex]8x-3=11+6x\\\\2x-3=11\\\\2x=14\\\\x=7[/tex]

Answer:

x = 7

Step-by-step explanation:

8x - 3 = 11 + 6x

8x - 3 + 3 = 11 + 6x +3

8x = 6x + 14

8x - 6x = 6x + 14 - 6x

2x = 14

2x/2 = 14/2

x = 7

The quotient c and -19 is 38

Answers

Answer:

c = 722

Step-by-step explanation:

-19/c = 38

c = 38 x 19 (positive)

c = 722

hope it helped !

What is the solution to the system of equations below?

4x-2y=10
y=-2x-5

show your work! :)

Answers

Answer:

(0,-5)

Step-by-step explanation:

4x-2(-2x-5)+10

x=0

y=-2*0-5

y=-5

Evaluate: 24 - ( 5 - 3)^ 4
______________
4​

Answers

24 - (5 - 3)⁴ = 24 - 2⁴ = 24 - 16 = 8

8 : 4 = 2 ← the end solution

Solve the inequality for t. 12 >t+3 Simplify your answer as much as possible​

Answers

Answer:

t < 9

Step-by-step explanation:

12 > t + 3

We can subtract 3 from both sides getting us 9 > t.

What is 10 by the power of 8

Answers

Answer:

100000000

Step-by-step explanation:

10^1=10

10^2=100

10^3=1000

10^4=10000

10^5=100000

10^6=1000000

10^7=10000000

10^8=100000000

round 6.7 to the nearest whole number.

Answers

0,1,2,3,4 rounds Down
5,6,7,8,9 rounds up
6.7 >>.7 rounds up
6.7 >> 7

khloe’s parents allow her to watch 8 1/2 hours of tv a week. so far this week she has watched 4 1/2 hours. how many hours does she have left?

Answers

Answer:

4

Step-by-step explanation:

8 1/2- 4 1/2 is 4

two numbers are at ratio of 5:9 find the larger number if the smaller number 35​

Answers

9514 1404 393

Answer:

  63

Step-by-step explanation:

We observe that multiply the smaller number in the ratio by 7 we get 35. Then the ratio is ...

  5 : 9 = 35 : 63 . . . . . . multiply both numbers by 7

The larger number is 63.

2. The product of 7 and a number

Answers

I think the answer you are looking for is 7n, which also means 7 times n.

Answer:

7x

Step-by-step explanation:

Product refers to multiplication. "A number" refers to an unknown number otherwise known as a variable. In this case, I use x.

a bakery sells 17 cups of coffee for every 3 cups of hot chocolate they sell. At the end of the day the bakery sold 406 more coffee than hot chocolates. How many of the two drinks did they sell in all?

Answers

Answer:

Step-by-step explanation:

Factor x^2+x+6
Plz help

Answers

Answer:

2

Step-by-step explanation:

P- 24000 R-10% T-2 years find the sum​

Answers

Answer:

here

I =p×t×r/100

= 24000×2×10/100

= 4800

again,

sum = p+I

= 24000+4800

= 28800

if M ABD =75 and M abc =40 then m CBD =

Answers

Answer:

m∠CBD = 35

Step-by-step explanation:

m∠ABD = 75 which is the total * among all angle measures

m∠ABC = 40 (given angle)

m∠CBD = ?

To find m∠CBD, subtract the total - the given angle

m∠CBD = m∠ABD - m∠ABC

m∠CBD = 75 - 40

m∠CBD = 35

help me plz branniest to whoever right

Answers

(3x+7)+(4x+9)=-58
first add like terms
7x+16=-58
subtract 16 from both sides
-7x=-74
divide -7 from both sides
x=10.6
its 10.6 units long

Two trains leave towns 1285 kilometers apart at the same time and traveled towards each other. One train travels 17 km/h faster than the other. If they meet in 5 hours what is the rate of each train

Answers

Distance = (Rate)(Time)

Let x = speed of slower train

     x + 17 = speed of faster train

The trains meet when the sum of the distances = 1285

5x + 5(x+17) = 1285

(5 came from 5 hours)

10x + 85 = 1285

10x = 1200

 x = 120 mph

The speeds are 120 mph and 137 mph

wyzant

pls help im a little bit sтuрid

Answers

Step-by-step explanation:

a⁴+16a²b-2ab-a²+64b²-b²

we can also write them as,

a⁴+16a²b+64b²-a²-2ab-b²

Now, from -a²-2ab-b² if we take - as common term then we get,

a⁴+16a²b+64b²-(+2ab+)

Now, by using the concept of +2ab+=(a+b)²

()²+2×a²×8b+(8b)²-{(a)²+2×a×b+(b)²}(+8b)²-(a+b)²

I hope it helped U

stay safe stay happy

9(y-4) -3y = 2(3y-2 need solved as fast as possible

Answers

Step-by-step explanation:

did you give us all the information ? the equating looks cut off.

so, from what I can see we have

9(y-4) - 3y = 2(3y-2)

let's try :

9y - 36 - 3y = 6y - 4

0 = 32

so, no, this can't be it. this does not have a solution. you must have cut off some additional information.

x=-9 y=-8 evaluate the expression 8 x^2 - 6 y^2

Answers

Answer:

264

Step-by-step explanation:

Let x= -9 y= -88x² - 6y² = ?8(-9)² - 6(-8)² = ?8(81) - 6(64) = ?648 - 384 = ?264

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Ruben needs to read 4 novels each month let N be the number of novels Ruben needs to read in M months write an equation relating in to M

Answers

Answer:

Step-by-step explanation:

N = 4(12) = 48 novels

Please help me solve that question

Answers

Step-by-step explanation:

steps are in picture above.

if you need to ask questions I'll give you answers gladly.

helpppppppppppppopnanannsnsnnsnakaknfnsn

Answers

Step-by-step explanation:

y=107(vertically opposite angles)

x=180-107=73(angles on a straight line)

z=73(vertically opposite angles)

Answer:

[tex]{ \sf{y = 107 \degree}} \: \{ \sf{alternate \: angles} \}[/tex]

[tex]{ \sf{z + 107 \degree = 180 \degree}} \: \{ \sf{straight \: line \: angles \}} \\ z = 180\degree - 107\degree \\ z = 73\degree[/tex]

[tex]{ \sf{x = z}} \: \{ \sf{alternate \: angle \}} \\ x = 73\degree[/tex]

Let the (x; y) coordinates represent locations on the ground. The height h of
a particle is governed by the function described below. Classify all the critical
points of height and find the value(s) of height h at those points.
h(x; y) = 8x + 10y - 4xy - 4x^2 - 4y^3

Answers

The critical points of h(x,y) occur wherever its partial derivatives [tex]h_x[/tex] and [tex]h_y[/tex] vanish simultaneously. We have

[tex]h_x = 8-4y-8x = 0 \implies y=2-2x \\\\ h_y = 10-4x-12y^2 = 0 \implies 2x+6y^2=5[/tex]

Substitute y in the second equation and solve for x, then for y :

[tex]2x+6(2-2x)^2=5 \\\\ 24x^2-46x+19=0 \\\\ \implies x=\dfrac{23\pm\sqrt{73}}{24}\text{ and }y=\dfrac{1\mp\sqrt{73}}{12}[/tex]

This is to say there are two critical points,

[tex](x,y)=\left(\dfrac{23+\sqrt{73}}{24},\dfrac{1-\sqrt{73}}{12}\right)\text{ and }(x,y)=\left(\dfrac{23-\sqrt{73}}{24},\dfrac{1+\sqrt{73}}{12}\right)[/tex]

To classify these critical points, we carry out the second partial derivative test. h(x,y) has Hessian

[tex]H(x,y) = \begin{bmatrix}h_{xx}&h_{xy}\\h_{yx}&h_{yy}\end{bmatrix} = \begin{bmatrix}-8&-4\\-4&-24y\end{bmatrix}[/tex]

whose determinant is [tex]192y-16[/tex]. Now,

• if the Hessian determinant is negative at a given critical point, then you have a saddle point

• if both the determinant and [tex]h_{xx}[/tex] are positive at the point, then it's a local minimum

• if the determinant is positive and [tex]h_{xx}[/tex] is negative, then it's a local maximum

• otherwise the test fails

We have

[tex]\det\left(H\left(\dfrac{23+\sqrt{73}}{24},\dfrac{1-\sqrt{73}}{12}\right)\right) = -16\sqrt{73} < 0[/tex]

while

[tex]\det\left(H\left(\dfrac{23-\sqrt{73}}{24},\dfrac{1+\sqrt{73}}{12}\right)\right) = 16\sqrt{73}>0 \\\\ \text{ and } \\\\ h_{xx}\left(\dfrac{23+\sqrt{73}}{24},\dfrac{1-\sqrt{73}}{12}\right)=-8 < 0[/tex]

So, we end up with

[tex]h\left(\dfrac{23+\sqrt{73}}{24},\dfrac{1-\sqrt{73}}{12}\right)=-\dfrac{4247+37\sqrt{73}}{72} \text{ (saddle point)}\\\\\text{ and }\\\\h\left(\dfrac{23-\sqrt{73}}{24},\dfrac{1+\sqrt{73}}{12}\right)=-\dfrac{4247-37\sqrt{73}}{72} \text{ (local max)}[/tex]

99. Savings Bronwyn wants to buy a house, so she has decided
to save one quarter of her salary. Bronwyn earns $47.00 per hour
and receives an extra $28.00 a week because she declined
company benefits. She wants to save at least $550.00 each week.
How many hours must she work each week to achieve her goal?

Answers

Answer:

46.5 hours per week

Step-by-step explanation:

At least 550 a week.

Which is 1\4 of Bronwyn salary.

550 x 4 = 2200

To find minimum work hours

2200-28 = 2172

2172 \ 47 = 46.212 hours per week

So, bronwyn needs to work at least 46.5 hours per week

Answer:

Bronwyn must work nearly 47 hours each week to achieve her goal.

Step-by-step explanation:

Let x be the number of hours Bronwyn works per week.

If Bronwyn earns $47 per hour, if x is the number of hours she works per week and if Bronwyn earns $28 per week because she declined company benefits, lets assume that the left hand side of the equation is:

[tex]47x + 28[/tex]

Now onto the salary. Since Bronwyn wants to save $550 each week and since she also wants to save one quarter of her salary, her salary becomes $2200 for each week she works

Making the equation...

[tex]47x + 28 = 2200[/tex]

Time to solve for x

[tex]47x = -28 + 2200\\47x = 2172\\x = 46.2[/tex]

Since its at least, you can round it up to 47 making 47 the number of hours she must work each week to achieve her goal.

Write the number in standard form.

ninety-two billion, seventy thousand,
one hundred eight

Answers

92.000.070.108

Step-by-step explanation:

Thousand has 3 zeros, a million has 6 and a billion has 9.

So for ninety-two billion, you take 92 and add 9 zeros behind it because a billion has 9 zeros

(92.000.000.000)

A submarine is 1000 feet below sea level and then rises 450 feet. Where is the submarine now?

Answers

Sea level is 0

1000 feet below sea level would be -1000. It rises 450 feet. Add 450 to -1000:

-1000 + 450 = -550

The submarine is at -550 feet ( 550 feet below sea level).

Solve the equation 12v+10v+14=80

Answers

Answer:V=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12v+10v+14=80

(12v+10v)+(14)=80

(Combine Like Terms)

22v+14=80

22v+14=80

Step 2: Subtract 14 from both sides.

22v+14−14=80−14

22v=66

Step 3: Divide both sides by 22.

22v/22=66/22

V=3

:)

create a improper fraction with the number 10 as the denominator

Answers

Answer:

Decimal Fraction Percentage

0.101 101/1000 10.1%

0.1 100/1000 10%

0.1013 101/997 10.13%

0.1012 101/998 10.12%

Step-by-step explanation:

Write an equation in slope-intercept form of the line passing through (0, 3) and (2, -1).


y=2x+3y=2x+3

y=-2x+3y=−2x+3

y=-2xy=−2x

y=-x+3y=−x+3

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]y = -2x + 3[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Slope-Intercept Form Is:}}\\\\y=mx + b\\---------------\\\boxed{\text{Key:}}\\\\m - slope\\b - y-intercept\\---------------\\\boxed{\text{\underline{Known Information:}}}\\\\\rightarrow \text{We are given the points: } (0,3) \text{ and } (2, -1)\\---------------\\\boxed[/tex]

[tex]\boxed{\text{\underline{Y-Intercept:}}}\\\\\rightarrow \text{Since the line passes at point (0, 3), the y-intercept would be 3.}\\---------------\\\boxed{\text{\underline{Slope:}}}\\\\\rightarrow m =\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1} \\\\\rightarrow m = \frac{-1-3}{2-0}=\frac{-4}{2}=\boxed{-2}\\\\\text{The slope is: } \boxed{-2}\\---------------[/tex]

[tex]\boxed{\text{\underline{Equation:}}}\\\\\text{Our equation should be:}\\\\y = -2x + 3[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.

how many feet is 2160 yards?​

Answers

Answer:

6480 feet

Step-by-step explanation:

Since there’s 3 feet in one yard, we can multiply the amount of yards by 3 to find out the amount of feet

3 x 2160 = 6480 feet

The answer is 6480 feet
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