A, 39

You can get the average score by adding up all the total scores, (33, 41, 33, 45 and 43) and dividing that by the total number of scores, 5. 195 (total score)/5 (number of scores)= 39.

6 0

3 years ago

My calculator wasn’t working for this I’m not sure how to solve it but help would be coolio

ziro4ka [17]

We know that:

$_nP_k = \dfrac{n!}{(n-k)!}$

so in this case $n = 5$ , $k=3$ and:

$_5P_3=\dfrac{5!}{(5-3)!}=\dfrac{5!}{2!}=\dfrac{5\cdot4\cdot3\cdot2\cdot1}{2\cdot1}=\dfrac{120}{2}=\boxed{60}$

4 0

3 years ago

( Multiple Questions)

tankabanditka [31]

They are both equal I think C.

8 0

3 years ago

Mike has $6000 to invest. He invested part of his total into an account earning 6% interest and the rest in an account earning 1

lesya692 [45]

Answer:$4000 was invested into the account earning 6% interest.

$2000 was invested into the account earning 11% interest.

Step-by-step explanation:

Let x represent the amount invested into the account earning 6% interest.

Let y represent the amount invested into the account earning 11% interest.

Mike has $6000 to invest. He invested part of his total into an account earning 6% interest and the rest in an account earning 11% interest. 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 in years

I = interest after t years

Considering the account earning 6% interest, the interest would be

I = (x × 6 × 1)/100 = 0.06x

Considering the account earning 11% interest, the interest would be

I = (x × 11 × 1)/100 = 0.11y

If at the end of the year, he earned $460.00 in interest, it means that

0.06x + 0.11y = 460 - - - - - - - - - - -1

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

0.06(6000 - y) + 0.11y = 460

360 - 0.06y + 0.11y = 460

- 0.06y + 0.11y = 460 - 360

0.05y = 100

y = 100/0.05 = $2000

x = 6000 - y = 6000 - 2000

x = $4000

3 0

3 years ago