$690 is invested in an account earning 7% interest (APR),
compounded quarterly. Write a function showing the value of the
account after t years, where the annual growth rate can be found from
a constant in the function. Round all coefficients in the function to four
decimal places. Also, determine the percentage of growth per year
(APY), to the nearest hundredth of a percent.

Answer:

∠ MLK = 34°

Step-by-step explanation:

The tangent- secant angle MLK is half the difference of the measures of the intercepted arcs, that is

∠ MLK = [tex]\frac{1}{2}[/tex] (129 - 61)° = 0.5 × 68° = 34°

Answer:

$15,728.24 will be left in the account after 5 years.

Answer:

Step-by-step explanation:

Question 11

1 / 1 pts

You deposit $1500 in a savings account that pays interest at an annual rate of 6%.  No money is added to or withdrawn from the account.  How much will be left after 5 years?

answer = 2,007.34 GOT IT RIGHT

Answer:

a₄ = 256

Step-by-step explanation:

Using the given definition , then

a₂ = a₁² = 2² = 4

a₃ = a₂² = 4² = 16

a₄ = a₃² = 16² = 256

Answer:

256

Step-by-step explanation:

a₁ = 2

a₂ = (a₁)² =  2 ² = 4

a₃ = (a₂)² = 4² = 16

a₄ = (a₃)² = 16² = 256

Answer:

10 students

Step-by-step explanation:

The maximum number is 26 and 16 have already signed up so in order to know how many can join without exceeding the maximum. You subtract 16 from 26. which then leaves you with 10

Answer:

58988

Step-by-step explanation:

3556+55432

=58988

Answer:

<1 and <3 are vertical angles

Step-by-step explanation:

Vertical angles are formed from the same lines are share a vertex.  They are opposite from each other

<1 and <3 are vertical angles

<2 and <4 are vertical angles

Answer:

[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]

Vertical angles are formed from the same lines are share a vertex.  They are opposite from each other

Answer:

B. 31°, 106°, and 43°.

Step-by-step explanation:

the sum of the measures of the angles in a triangle add up to 180°, so:

3x+1+11x-4+5x-7=180

19x-10=180

19x=190

x=10

now that we know x is equal to 10, we can find the three angle measures:

3x+1 ->  3(10)+1 = 31°

11x-4 ->  11(10)-4 = 110-4 = 106°

5x-7 ->    5(10)-7 = 50-7 = 43°

so, the answer is B.

Answer:

[tex]Pr(x) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- number of rolls

Required

The theoretical probability of rolling: (a) 1    (b) 4    (c) 6    (d) 7

Assume the cube is 6 sided.

The sample space is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

And the probability of each is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Answer:

hkxkjfxjflxjlnfzjjgzligxlkxljyyflkxklxyklclllyfylldkfol

Answer:

8

Step-by-step explanation:

[tex]slope = \frac{w - 2}{0 - ( - 1)} \\ \\ \therefore \: 6 = \frac{w - 2}{0 + 1} \\ \\ \therefore \: 6 = \frac{w - 2}{1} \\ \\ \therefore \:w - 2 = 6 \\ \\ \therefore \:w = 6 + 2 \\ \\ \therefore \:w = 8\\ \\ [/tex]

Answer:

y=x-2

Step-by-step explanation:

x=6 and y=4, so simplest equation is y=x-2

You can have infinity lines with the point (6,4). Another example is [tex]y=\frac{1}{2} x+1[/tex]

Answer:

80

Step-by-step explanation:

This is a pentagon (5 sides), n=5

The sum of internal angles equals (n-2)*180 = 540°

We have

A = 90

B = 180-40

C = 180-x

D = 180-60

E = 180-90

Sum all the angles to equal 540°

90 + 180-40 + 180-x + 180-60 + 180-90 = 540

620-x = 540

solve for x

x = 620 - 540 = 80

Answer:

80

Step-by-step explanation:

the answer should be 80 just as mathmate explained

Bye !

Answer:

angle 1=94 degree

Step-by-step explanation:

-x + 106=5x + 34 (they are alternate interior angles)

106-34=5x+x

72=6x

72/6=x

12=x

substitute the value of x in 5x + 34

5*12 + 34

60+34

94

Now,

angle 1 =5x +134 ( they are vertically opposite angles)

angle 1=94 degree

Answer:

ANGLE 1= -X+106

ANGLE 1= 5X+34

5X+34. =-X+106

5X+X. =106-34

6x=72

X=12

angle 1= 5x+34

=(5×12)+34

=60+34

=94

Answer:

Eleanor and Harold

Step-by-step explanation:

The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:

[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]

Therefore, we have:

[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]

Hector's answer is equivalent but not simplified. However, they are both technically correct.

Answer:

The least amount of time (in hours) both pumps need to be open is 3 hours.

Step-by-step explanation:

According to the Question,

Let the Capacity of the Pool is 36Litre.

If the pool needs to be filled in 10 hours the least amount of time (in hours) both pumps need to be open is 3 hours.

Note:- if 3 hour both pipe open so 3 x (5) = 15 ltr Pool is Filled.

Now For Remaining 7 hour Pipe A with Efficiency 3 ltr/hour is open alone to fill the pool Remaining 7 x 3 = 21 ltr . Total 21+15 = 36ltr .

Answer:

Step-by-step explanation:

[tex]\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}[/tex]  rewrite as multiplication

[tex]\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}[/tex]  look to factor

[tex]\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex]  , difference of 2 squares and perfect square

[tex]\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex], finish factoring and simplify

2(x+3)

Answer: 6y is your answer

Step-by-step explanation:

[tex] \sqrt{36 {y}^{2} } [/tex]

[tex] = 6y[/tex]

Because √36=6

and,√y²= y

Answer: $36.3

Step-by-step explanation:

Since Christopher bought 3 toy trucks that costs $14.25 each. Then, the cost of the three toys will be:

= 3 × $14.25

= $42.75

Then, if he used a coupon for 15% off of the total purchase, then the final purchase will be:

= $42.75 - (15% × $42.75)

= $42.75 - (0.15 × $42.75)

= $42.75 - $6.4125

= $36.3375

= $36.3

Answer:

13 Rungs

Step-by-step explanation:

According to the Question,

The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.

Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.

Answer:

46 degrees

Step-by-step explanation:

Angles 4 and 6 are consecutive interior angles which means that they are supplementary. Angle 6 is equal to 180-134, so angle 6 is 46 degrees.

Add the file first cause there is none

Answer:

-16

Step-by-step explanation:

Substitute the values into the equation

[tex] = \frac{ ({ - 12 + 4}^{2}) }{ - 4} \\ = \frac{ {( - 8)}^{2} }{4} \\ = \frac{64}{4} \\ = - 16[/tex]

Answer:

(-29,-27.4)

Step-by-step explanation:

2p+59=1

     -59 -59

2p=-58

/2     /2

p=-29

5p+139=2

     -139 -139

5p=-137

/5      /5

p=-27.4

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The vertex is always at the highest point of the parabola or the lowest point, depending upon which way it opens. Ours opens upwards, so the vertex is a min (aka, it's at the lowest point). That lowest point is located at (-1, 3), choice B.