A recursive formula always uses the preceding term to define the next term of the sequence. Sequences can have the same formula but because they start with a different number, they are different patterns.

Step-by-step explanation:

hope this helps

7 0

3 years ago

A plane flies with an average velocity of -98.5 m/s for 45.0s .What is the displacement?

Gnesinka [82]

Answer:

-4432.5 m

Step-by-step explanation:

Displacement is measured in meters, so will be the product of velocity in m/s and time in s.

(-98.5 m/s)×(45.0 s) = -4432.5 m

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If you're concerned with significant figures, you can round this to -4430 m, which has the required 3 significant figures.

8 0

2 years ago

Read 2 more answers

Item 6 Your city is represented in a coordinate plane where each unit represents 1 kilometer. The library is at (−3, −3), the po

Snezhnost [94]

We know, shortest distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is :

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So, distance between house and library is :

$d_1=\sqrt{(-5-(-3))^2+(2-(-3))^2}\\\\d_1=5.39\ km$

Distance between library and post office :

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\D=\sqrt{(-3-2)^2+(-3-2)^2}\\\\D=7.07\ km$

Distance between post office and house :

$D=\sqrt{(2-(-5)^2)+(2-2)^2}\\\\D=7\ km$

Therefore, minimum distance that you can ride your bike is (5.39+7.07+7) km = 19.46 km.

Hence, this is the required solution.

8 0

3 years ago

Your fi nancial advisor recommends buying a 10-year bond with a face value of $1,000 and an annual coupon of $80. The current in

rusak2 [61]

Answer:

Bond Price= $1,070.24

Step-by-step explanation:

Giving the following information:

Cupon= $80

Number of periods= 10 years

Face value= $1,000

Interest rate= 7%

<u>To calculate the price of the bond, we need to use the following formula:</u>

Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price= 80*{[1 - (1.07^-10)] / 0.07} + [1,000 / (1.07^10)]

Bond Price= 561.89 + 508.35

Bond Price= $1,070.24

8 0

2 years ago