Please help.Find the circumference (to the nearest whole number). Use 3.14 for pi.

The nth term of a sequence is 2n-1.

damaskus [11]

Answer: 25, 31 and 37

Step-by-step explanation:

(2n-1)= 19, 21, 23, 25, 27, 29, 31, 33, 35, 37

(3n+1)= 19, 22, 25, 28, 31, 34, 37,

5 0

2 years ago

8000$ is invested in an account the yields 6% interest per year. After how many years will the account worth 13709.60$ if the in

ozzi

Answer:

After 9 years the account will be worth 13709.60$

Step-by-step explanation:

We are given the following in the question:

We are given the following in the question:

P = $8000

r = 6% = 0.046

n = 12

The compound interest is given by:

$A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

where A is the amount, p is the principal, r is the interest rate, t is the time in years.

Putting the values, we get,

$13709.60 = 8000\bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\dfrac{13709.60}{8000} = \bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\Rightarrow 1.7137 = (1.005)^{12t}\\\Rightarrow t \approx 9$

Thus, after 9 years the account will be worth 13709.60$

5 0

2 years ago

Read 2 more answers

Using Unit Rates to compare Ratios continued

nasty-shy [4]

Answer:

Brandon

Step-by-step explanation:

GIVEN: Branden and Pete each play running back. Branden carries the ball $75$ times for $550$ yards, and Pete has $42$ carries for $380$ yards.

TO FIND: Who runs farther per carry.

SOLUTION:

Total yards traveled by Brandon $=550\text{yards}$

No. of times ball carried by Brandon $=75\text{ times}$

Average yards per carry for Brandon $=\frac{\text{total yards traveled}}{\text{number of times ball carried}}$

$=\frac{550}{75}$

$=\frac{22}{3}\text{ yards per carry}$

$=7.33\text{ yards per carry}$

Total yards traveled by Pete $=380\text{ yards}$

No. of times ball carried by Pete $=42\text{ times}$

Average yards per carry for Pete $=\frac{\text{total yards traveled}}{\text{number of times ball carried}}$

$=\frac{380}{42}$

≅ $9\text{ yards per carry}$

As the number of yards per carry is higher for Brandon , therefore he runs farther per carry.

4 0

3 years ago

You randomly choose one of the tiles. Without replacing the first tile. What is the event of the compound event? Write your answ

Luden [163]

Answer:

87777777777777777777777777

Step-by-step explanation:

7 0

3 years ago

Explanation plsss..

ollegr [7]

Answer:

You will need 20 sides to complete the loop.

Step-by-step explanation:

The question isn't quite clear given how small the corner is, but I assume that we are looking to complete the circle if the pentagon and square are repeated in a loop

We can also see - assuming that those are proper equal-sided polygons, that PQ is the same length as PV

With that in mind, We can solve this by noting that the angle of a corner in a square is 90 degrees, and in a pentagon it's 108 degrees.

108 - 90 is equal to 18. This means that PQ is at eighteen degrees to YP. Also, QM, (which will be equivalent to the next VP is eighteen degrees to PQ.

This means that each polygon is rotated 18 degrees relative to it's neighbour.

With all that we can say that the total polygons we need to form a circle is 360/18 = 20, So you will need 20 polygons, or ten squares and ten pentagons to complete the loop.

4 0

3 years ago