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Zayn plans to deposit $850 into a savings account that pays 2.4% interest compounded annually. Angelo plans to deposit $860 into an account that pays 2.4% simple interest. They both plan to leave the money invested for 4 years. How much more money will Zayn have than Angelo at the end of the 4 years?

Answer:

option c

Step-by-step explanation:

The angles are 30° , 60° , 90° . So its a right angled triangle . We can use trigo.

⇒ sin 30 = p/h

⇒ 1/2 = p/10

⇒ p = 10/2

⇒ p = 5

Using Cosine now ,

⇒ cos 30° = b/h

⇒ √3/2 = b/10

⇒ b = √3/2 × 10

⇒ b = 5√3

Answer:

c) short leg = 5; long leg = 5 √3

Step-by-step explanation:

How long are the other sides?

short leg = 5; long leg = 5 √3

Answer:

See Explanation

Step-by-step explanation:

Given

New function: [tex]y = 3 \cos(10 (x -\pi))[/tex]

We can assume the parent function to be:

[tex]y = \cos (x)[/tex]

The new function can be represented as:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex]

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex] to [tex]y = 3 \cos(10 (x -\pi))[/tex]

[tex]A = 3[/tex]

[tex]c = \pi[/tex]

[tex]\frac{2\pi}{B} = 10[/tex]

Solve for B

[tex]B = \frac{2\pi}{10}[/tex]

[tex]B = \frac{\pi}{5}[/tex]

Using the calculated values of [tex]A,\ B\ and\ c.[/tex] This implies that, the following transformations occur on the parent function:

The correct relation for the sea gull population is: P(t) = 5.3t^(11/7)

Answer:

d. about 66.5 hundred thousand

Step-by-step explanation:

Given that :

P(t) = 5.3t^(11/7)

Population, P is in hujdred thousand ; t = number of years

Population after 5 years ;

t = 5

P(5) = 5.3 * 5^(11/7)

P(5) = 5.3 * 5^1.5714285

P(5) = 5.3 * 12.542422

P(5) = 66.474840

P(5) = 66.5 (approximately)

Hence, population after 5 years will be about 66.5 hundred thousand.

Answer:

y = 52

x = 5

Step-by-step explanation:

Side BC and Side BA are congruent sides ( indicated by the two dashed lines. )

This meaning that their opposite angles are also congruent

Side BC's opposite angle is ∠A and side BA's opposite angle is ∠C

Hence ∠A ≅ ∠C

And because ∠A = 52°, ∠C also equals 52°

Hence y = 52°

Now we want to find x

We can do this by creating an equation using the triangle angle rule which states that the angles in a triangle add up to equal 180

so...

180 = 14x + 6 + 52 + 52

now we solve for x

step 1 combine like terms

52 + 52 + 6 = 110

now we have 180 = 110 + 14x

step 2 subtract 110 from each side

180 - 110 = 70

110 - 110 cancels out

now we have 70 = 14x

step 3 divide each side by 14

14x/14 = x

70 / 14 = 5

we're left with x = 5

Answer:

Step-by-step explanation:

nth term = a₁ + (n-1)d = 7 + (n-1)12

:::::

nth term = a₁rⁿ⁻¹ = 2×2ⁿ⁻¹ = 2ⁿ

a₁ = 2

a₂ = 4

a₃ = 8

a₄ = 16

a₅ = 32

Answer: C

Step-by-step explanation: 19² =361 and 20² = 400

Answer:

Step-by-step explanation:

7680 i think

Answer:

SA = 176 in²

Step-by-step explanation:

SA = (4 x 9 x 4) + (2 x 4 x 4) = 176 in²

Answer:

None of the above (144)

Step-by-step explanation:

A = l x w x h

B = 36

h = 4

9 x 4 = 36

36 x 4 = 144

Let me know if this helps!

10 would be 50% so 1 is 5% 5x8 =40

Her experimental probability is 40%

21Answer:

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

because the x axis or horizontal line intersex the line

Answer:

help is done...........................

Answer:

Zero

Step-by-step explanation:

Solve the equation by subtracting 8z from both sides:

8z − 5 = 8z

-5 = 0

-5 [tex]\neq[/tex] 0

This is a false statement, because -5 is not equal to zero.

This means that there are no solutions to the equation.

So, the equation has zero solutions

Because both sides of the equation have the same variable ( they both have 8x) this equation does not have any solutions.

Answer: x-intercept(s):  

(-13/6,0)

y-intercept(s):

(0,13)

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation: Take point (1,1) put the rise (2) over the run (8) and then simplify.

Answer:

x > 15

Step-by-step explanation:

Try to get x on a side by itself...

3x - 42 > 3

3x > 45

x > 15

Answer:

37.7in

Step-by-step explanation:

C=2πr=2·π·6≈37.69911in

Answer:

37.6 (simplified)

Step-by-step explanation:

The formula for circumference is 2[tex]\pi[/tex]*r. Simply replace r with 6 and multiply from there. Normally you would simplify pi down to 3.14 as well.

Answer:

-17°C at sunset

15°C at sunrise

Answer:

the answer is C

Step-by-step explanation:

the number line shows the numbers 70/100 - 80/100. the x appears 6 lines after 70/100 which is 0.76

Answer:

m = -1/11

Step-by-step explanation:

m = rise/run = (y2-y1)/(x2-x1)

Step-by-step explanation:

there are 7 decimal places from between 2 and 3 to the very end. so the answer is 7

Answer: 2.36x^10

Step-by-step explanation:

Answer:

The mode is 27.

Step-by-step explanation:

To find the mode we must first put them in order from least to greatest.

21, 26, 26, 27, 27, 27, 28, 28, 31, 33

The mode means the most common number out of the data.  Therefore since 27 is the most common number, it is the mode.

Hey there!

The mode is basically the number you see MORE THAN ONCE.

So, the numbers in your data plot is/are

“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”

(I’m assuming)

21 is shown ONE TIME

28 is shown TWO TIMES

27 is shown THREE TIMES

26 is shown TWO TIMES

33 is shown ONE TIME

31 is shown ONE TIME

THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times

Answer: 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

[tex]A=\dfrac{1}{2}\times Base\times height[/tex]

So, the area of Each right triangular tile is:

[tex]A=\dfrac{1}{2}\times 5.2\times 6[/tex]

[tex]A=\dfrac{1}{2}\times 31.2[/tex]

[tex]A=15.6[/tex]

There are 150 tiles in the mosaic. So, the area of the mosaic is:

[tex]Area=15.6\times 150[/tex]

[tex]Area=2340[/tex]

Therefore, the total area of the mosaic is 2340 cm ².

Answer:

minimum =4 cost= 10.40

Step-by-step explanation:

hope this helps:))

Answer:

1663

Step-by-step explanation:

Answer:

$2,560

Step-by-step explanation:

Just multiply 256 by 10, and you get his money earned.