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2 years ago

In Bear Creek Bay in July, high tide is at 1:00 pm. The water level at

1 answer:

5 0

The reason we use cosine, is because a cosine graph is at its maximum at the beginning of the cycle.
We begin with basic cosine equation:
Y(x)=Acos(Bx+c)+D
First we need to determine the middle line of the graph (amplitude) by finding the difference between tides and dividing by two: (7-1)/2=3
We know that period is 12. This means that b needs to be pi/6 or <span>0.523 </span>if 12b=2pi
Then we need to average out the tides, to determine how much the curve needs to shift: (7+1)/2= 4
In addition, we need to shift the equation to the right since high tide is at 1pm or 13 hours after midnight.
In the end we get the following equation:
y=4+3cos(0.523(x-13))

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On two investments totaling $6,000, Brian lost 7% on one and earned 8% on the other. If his net annual receipts were $420, how m

lianna [129]

Answer:

the amount of money invested at the rate of 7% is $400

the amount of money invested at the rate of 8%. Is $5600

Step-by-step explanation:

Let x represent the amount of money invested at the rate of 7%.

Let y represent the amount of money invested at the rate of 8%.

The total amount of money that Brian invested is $6000. This means that

x + y = 6000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

Considering the investment at the rate at 7%,

P = x

R = 7%

T = 1

I = (x × 7 × 1)/100 = 0.07x

Considering the investment at the rate of 8%,

P = y

R = 8

T = 1

I = (y × 8 × 1)/100 = 0.08y

If his net annual receipts were $420, it means that

0.08y - 0.07x = 420 - - - - - - - - -1

Substituting x = 6000 - y into equation 1, it becomes

0.08y - 0.07(6000 - y) = 420

0.08y - 420 + 0.07y = 420

0.08y + 0.07y = 420 + 420

0.15y = 840

y = 840/0.15 = 5600

x = 6000 - y = 6000 - 5600

x = 400

8 0

2 years ago

A local diner has started selling cupcakes and is using the bar chart given below to keep track of how many are sold each day. H

stepladder [879]

Answer:

Step-by-step explanation:

the pattern is adding 4 each day

13 + 4 = 17

actually nvm i read it wrong

4 0

2 years ago

Read 2 more answers

A baseball has a 45 cm diameter. what is the volume of the contents of the ball

Dvinal [7]

The volume of a sphere is found from the equation V=4/3πr
r is the radius.
If the radius is 45 cm and pi is about 3.14, you can rewrite and equation as V=4/3(3.14)(45)
Then just solve by multiplying all the terms!
4/3(3.14) = 4.19
4.19(45) = 188.55
So the volume of the ball is 188.55 cm cubed.

3 0

2 years ago

At 11:00 a.M., there are 400 members and 150 non-members visiting a museum. After 11:00 a.M., 10 members leave every five minute

alexdok [17]

Answer:

$16:27$

Step-by-step explanation:

GIVEN: At $11:00\text{ A.M.}$ , there are $400$ members and $150$ non-members visiting a museum. After $11:00\text{ A.M.}$ , $10$ members leave every five minutes and $5$ non-members arrive every five minutes.