4) Haleakela is a 10,000 foot high dormant volcano on Maui, Hawaii. The peak is a horizontal distance of 30,000 feet from the ocean. At what angle would you have to look up to see the peak if you were standing at the edge of the ocean?​

An exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: P_T = 1700(1.08)^T

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Instead of calculating the interest on the initial amount, the compound interest repeats calculating interest on (old amount + interest to be paid).

For this case, we're specified that:

Let P be the inital amount, and r be the rate of interest compounding per unit of time (in decimal)

Let [tex]P_t[/tex] be the amount after t unit of time(same unit as the interest).

Then after 1 year, the new amount would be:
[tex]P_{t+1} = P_t + 100r \%\text{ of }P_t}\\P_{t+1}= P_t + P_t \times r\\P_{t+1} = P_t(1+r)[/tex]

Thus, we get:
[tex]P_t = P_{t-1}(1+r) = P_{t-2}(1+r)(1+r) = P_{t-2}(1+r)^2\\\\P_t = P_{t-t} (1+r)^t = P_0(1+r)^t[/tex]

where P₀ is the initial amount (as amount at t = 0 is initial amount)

Thus, we get:

[tex]P_t = P(1+r)^t[/tex]

Here, putting P = 1700, r = 0.08, and t = T, we get:

[tex]P_T = 1700(1.08)^T[/tex]

Thus, an exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: [tex]P_T = 1700(1.08)^T[/tex]

Learn more about compound interest here:

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the value of "x" is 5 and the value of "y" is 12

Answer:

1800 + 110n = P

4990 * 8 = 39,920

Step-by-step explanation:

So first, the best way to solve linear word problems is to define your variables (which was given to you)

Second, construct your equation. From the information, we know that $1,800 is her starting amount. So that will be the y-intercept. Then, we see that she gets additional $110 for every copy she sells.

Answer:

Step-by-step explanation:

Help Plz

If the slice of pizza below has an area of 18.86 cm?, what is the measure of the central angle to the nearest

degree?

8 cm

Answer:

There are 18 balls in the bag:

6 are red

6 are yellow

6 are green.

A ball is drawn at random and then returned.

Then another ball is drawn.

Now, let's analyze each option and let's see if it is true or not.

A) The probability of drawing at random a green ball is equal to the quotient between the number of green balls and the total number of balls.

Then for the first draw, the probability is 6/18

Because the drawn ball is returned, for the second draw we still have 6 green balls and 18 balls in total, then the probability still is 6/18

Statement A is true

B) if we define the notation:

YR

as:

Yellow in the first draw, red in the second draw.

The possible outcomes are:

YR

YG

YY

RR

RG

RY

GR

GG

GY

So we have a total of 9 outcomes, we also can calculate this in the following way:

For the first event (first draw) we have 3 possible outcomes (Y, G, and R)

For the second event (second draw) we have again 3 possible outcomes.

The total number of outcomes is the product between the possible outcomes for each event, this is:

3*3 = 9

Then statement B is false.

C) The probability of drawing a red ball first is:

p = 6/18

The probability of NOT drawing a red ball second, is equal to the probability of drawing a yellow or green ball second (we have 12 balls that are green or yellow, and 18 total balls) then this probability is:

q = 12/18

The probabilities are different, then we can conclude that statement C is false.

fD) The expected probabilty of drawing a red ball and then a yellow ball is the product of the individual probabilities, this is:

prob of drawing a red ball first = 6/18

prob of drawing a yellow ball second = 6/18

Joint probability:

P = (6/18)*(6/18) = (1/3)*(1/3) = 1/9

So statement D is true.  (it says 19, i suppose that there is a mistake in this sentence and it actually should say 1/9)

Answer:

volume = 145.02 in³

Step-by-step explanation:

volume = 2.3 x 6.5 x 9.7 = 145.02 in³

Answer:

9

Step-by-step explanation:

8.547  =  9.000

Answer:

6

Step-by-step explanation:

The base 2 logarithm of 64 is 6 or log264 = 6.

Answer for question A:

Answer:

ok, but where are the four questions?

Answer:

Hey mate.....

Step-by-step explanation:

Which questions are you even talking about???????

Lol

Answer:

x^26

Step-by-step explanation:

Answer:

(x⁴)⁵ × (x)⁶ = x²⁶

Step-by-step explanation:

(x⁴)⁵ × (x)⁶

(x)⁴°⁵ × (x)⁶

(x)²⁰ × (x)⁶

x²⁰ × x⁶

x²⁰⁺⁶ = x²⁶

Thus, (x⁴)⁵ × (x)⁶ = x²⁶

-TheUnknownScientist

Answer:

what do you mean be more clear

Step-by-step explanation:

Answer:

A) -25

Step-by-step explanation:

[tex]f(x)=|x+2|\\[/tex]

[tex]g(x)=-x^{2}[/tex]

[tex](gof)(x)=g(f(x))=g(|x+21|)\\[/tex]

[tex](gof)(x)=-(|x+21)^{2}[/tex]

[tex](gof)(3)=-(13+21)^{2}[/tex]

[tex](gof)(3)=-(151)^{2}[/tex]

[tex]=-(5)[/tex]

[tex](gof)(3)=-25\\--------[/tex]

hope it helps...

have a great day!!

Answer:

4, 4, 10

Step-by-step explanation:

4, 4, 10

4 appears the most so that's the mode.

Mean = (Sum of numbers)/(3 numbers)

Mean = (4 + 4 + 10)/3

Mean = (18)/3

Mean = 6

The three numbers that have a mode of 4 and a mean of 6​ are 4, 4, and 10.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. A set of data values mode is the value that appears the most frequently.

The three numbers that have a mode of 4 and a mean of 6 will be calculated below:-

Let us suppose the three numbers are 4, 4, and 10 the mean will be calculated as:-

Mean = (Sum of numbers)/(3 numbers)

Mean = (4 + 4 + 10)/3Mean = (18)/3

Mean = 6

Therefore, the three numbers that have a mode of 4 and a mean of 6​ are 4, 4, and 10.

To know more about mean follow

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Answer:

slope is undefined

Answer:

21 days

Step-by-step explanation:

February has 28 days

28/4=7

1 quarter of 28 is 7

Since one quarter was above freezing, 3 were below freezing

3x7=21

21 days is the final answer

Answer:

21 days

Step-by-step explanation:

There are 28 days in February.

If one quarter of the days had a temperature above freezing, that means that three quarters of the days had a temperature below freezing.

Find how many days were below freezing by multiplying 28 by 3/4

28(3/4)

= 21

So, 21 days in February were below freezing.

Answer:

60°

.....................

Answer:

60

Step-by-step explanation:

This is a complementary angle which means two angles that sum up to 90 so 60+30=90

Because you have more education, you get better income.

Answer:

where’s the triangles?

Options aren't avaible

Answer:

(1 ÷ 1/6) * 6

36 pieces of pizza

Step-by-step explanation:

Given that :

Number of pizzas ordered = 6

Divisions per pizza = 1/6 ;

Hence, 1 full pizza is divided into 1 ÷ 1/6 = 1 * 6/1 = 6 pieces

6 * 1/6(1)

The total pieces of pizzas equals :

6 pieces per pizza * number of pizzas

6 * 6

= 36 pieces of pizza

Answer: b

Step-by-step explanation:

Answer:

please give me brainlist and follow

Step-by-step explanation:

You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.

Answer:

the answer here its a -3 17

The price of Coupon A  will be less than the price of Coupon B. Coupon A gives the lower price.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Greg has two coupons for a bicycle.

Coupon A: $19 rebate on an $81 bicycle. Then the price of a bicycle will be

⇒ $81 - $19

⇒ $62

Coupon B: 20% off of an $81 bicycle. Then the price of a bicycle will be

⇒ $81 x 0.80

⇒ $64.8

The price of Coupon A  will be less than the price of Coupon B. Coupon A gives the lower price.

More about the Algebra link is given below.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think it’s the last one

Answer:

C. [tex] \sqrt{x + 2} - \sqrt{x}[/tex]

Step-by-step explanation:

[tex] \frac{2}{ \sqrt{x} + \sqrt{x + 2} } \\ \\ = \frac{2}{ (\sqrt{x} + \sqrt{x + 2}) } \times \frac{(\sqrt{x} - \sqrt{x + 2})}{(\sqrt{x} - \sqrt{x + 2})} \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ ({ \sqrt{x} )}^{2} - {( \sqrt{x + 2} )}^{2} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - {( x + 2)} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - x - 2 } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ - 2 } \\ \\ = - ( \sqrt{x} - \sqrt{x + 2}) \\ \\ \frac{2}{ \sqrt{x} + \sqrt{x + 2} } = \purple{ \bold{\sqrt{x + 2} - \sqrt{x} }}[/tex]

Answer: [tex]\$687[/tex]

Step-by-step explanation:

Given

Working hours are [tex]7\ \frac{1}{2}[/tex] for 8 days

Money earned is $11.50 an hour

Total working hours

[tex]=\dfrac{7\times 2+1}{2}\times 8=\dfrac{15}{2}\times 8\\\\=60\ hr[/tex]

Money earned

[tex]=60\times 11.50=\$690[/tex]

After-tax deduction

[tex]\Rightarrow 690-3=\$687[/tex]

Answer:

Step-by-step explanation: