# Todd begins piano practice at 4:15 pm and ends at 5:50 pm. How long does he practice.

QUESTION POSTED AT 26/03/2020 - 01:05 PM

QUESTION POSTED AT 26/03/2020 - 01:05 PM

Todd practiced for 1:45 minutes because of you subtracted 5:50 minus 4:15 it would equal 1:45 hope that helped

Add up the total number of balloons (15) there are 4 purples so the probably of you getting purple at all is 4/15. consider that after you hit the first purple, your odds decrease to 3/14.

ANSWERED AT 28/03/2020 - 01:00 PM

QUESTION POSTED AT 28/03/2020 - 01:00 PM

Space in the box = volume

volume = length x width x height

box 1 volume = 15 x 20 x 10 = 3000

box 2 volume = 15 x 20 x 14 = 4200

how much space is left = box 2 - box 1 = 1200 inches

volume = length x width x height

box 1 volume = 15 x 20 x 10 = 3000

box 2 volume = 15 x 20 x 14 = 4200

how much space is left = box 2 - box 1 = 1200 inches

ANSWERED AT 28/03/2020 - 12:44 PM

QUESTION POSTED AT 28/03/2020 - 12:44 PM

The answer to th question is 7.

ANSWERED AT 28/03/2020 - 12:42 PM

QUESTION POSTED AT 28/03/2020 - 12:42 PM

The third one because you plug 7 in for z

Z-2=5 turns into 7-2=5 which is true

Z-2=5 turns into 7-2=5 which is true

ANSWERED AT 28/03/2020 - 12:42 PM

QUESTION POSTED AT 28/03/2020 - 12:42 PM

**Answer:**

**32.894 seconds ≈ 33 seconds**

**Step-by-step explanation:**

**Function :**

The function models radioactive decay of krypton-91.

The decay constant k is approximately 0.07.

denotes initial amount .

**We are require to find How long will it take a quantity of krypton-91 to decay to 10% of its original amount**

So, we neet to find t at which

**Taking log both sides **

**Thus it will take 32.894 seconds ≈ 33 seconds a quantity of krypton-91 to decay to 10% of its original amount.**

ANSWERED AT 28/03/2020 - 12:28 PM

QUESTION POSTED AT 28/03/2020 - 12:28 PM

**Answer:**

Option B is correct

** ; **

**Step-by-step explanation:**

The recursive formula for the arithmetic sequence is given by:

.....[1]

where,

d is the common difference.

n is the number of terms.

**As per the statement:**

Paige borrows $700 from her parents for a new computer.

She repays $100 the first month, then begins to repay her parents $75 per month.

Now, she only has to pay back after then, $700 - $100 = $600

then, begins to repay her parents $75 per month.

**The sequence we get;**

600, 525, 450, ....

This is the arithmetic sequence.

here,

and d = -75

Since,

525-600 = -75

450-525 = -75 and so on...

Substitute the given values in [1] we have;

**Therefore, the recursive formula models the total amount of money still owed is:**

** ; **

ANSWERED AT 28/03/2020 - 12:25 PM

QUESTION POSTED AT 28/03/2020 - 12:25 PM

**Answer:**

6 x 10^4

**Step-by-step explanation:**

took the quiz

ANSWERED AT 28/03/2020 - 12:17 PM

QUESTION POSTED AT 28/03/2020 - 12:17 PM

**Answer: B is the right answer. Diameter of the given rectangular lawn=17 feet.**

**Step-by-step explanation:**

Given: A rectangular lawn 15 feet long and 8 feet wide.

To find the diagonal of lawn such that it will divide the area of the lawn into two right triangles. [i.e. diagonal will be the hypotenuse]

So by Pythagoras theorem of right triangles,

**Therefore diameter of the given rectangular lawn=17 feet.**

ANSWERED AT 28/03/2020 - 12:10 PM

QUESTION POSTED AT 28/03/2020 - 12:10 PM

Charge of Ralph:

Charge = $24 + $33 per hour

Let the time worked be = x.

For x hours, the cost = 33*x = 33x

Charge = 24 + 33x

24 + 33x = 189

33x = 189 - 24

33x = 165

x = 165/33

x = 5

The job took 5 hours.

I hope this helped

Charge = $24 + $33 per hour

Let the time worked be = x.

For x hours, the cost = 33*x = 33x

Charge = 24 + 33x

24 + 33x = 189

33x = 189 - 24

33x = 165

x = 165/33

x = 5

The job took 5 hours.

I hope this helped

ANSWERED AT 28/03/2020 - 12:09 PM

QUESTION POSTED AT 28/03/2020 - 12:09 PM

$89

because 1.10 multiplied by 31 is 34.10

you round that to 34 and add it to 55 which gives you 89

because 1.10 multiplied by 31 is 34.10

you round that to 34 and add it to 55 which gives you 89

ANSWERED AT 28/03/2020 - 12:04 PM

QUESTION POSTED AT 28/03/2020 - 12:04 PM

M=3.50h

it will take juan about 4.5 hours to earn $15

it will take juan about 4.5 hours to earn $15

ANSWERED AT 28/03/2020 - 11:57 AM

QUESTION POSTED AT 28/03/2020 - 11:57 AM

Because the order of people does not matter, we can use a permutation to find the answer.

For the first choice there are 15 possible people. For the second one there are 14 possibilities (since one person has already been chosen) and so on.

To get the total number of combinations we do:

For the first choice there are 15 possible people. For the second one there are 14 possibilities (since one person has already been chosen) and so on.

To get the total number of combinations we do:

ANSWERED AT 28/03/2020 - 11:50 AM

QUESTION POSTED AT 28/03/2020 - 11:50 AM

To find Tim's overall score, first we must find the sum of his scores from quizzes, notes, and tests.

Hence, we have

quizzes = (5 + 2 + 9) = 16/3

notes = (3 + 9 + 5)/3 = 17/3

tests = (9 + 5 + 9)/3 = 23/3

Now, we must consider the percentage that these tests contribute to his overall score. So we have the following:

quizzes = 0.5(16)/3 = 8/3

notes = 0.2(17)/3 = 3.4/3

tests = 0.3(23)/3 = 6.9/3

We now add these to find the overall score which is 8 /3+ 3.4/3 + 6.9/3 = 18.3/3 = 6.1.

Thus, Tim's overall score is 6.1.

**Answer: 6.1**

Hence, we have

quizzes = (5 + 2 + 9) = 16/3

notes = (3 + 9 + 5)/3 = 17/3

tests = (9 + 5 + 9)/3 = 23/3

Now, we must consider the percentage that these tests contribute to his overall score. So we have the following:

quizzes = 0.5(16)/3 = 8/3

notes = 0.2(17)/3 = 3.4/3

tests = 0.3(23)/3 = 6.9/3

We now add these to find the overall score which is 8 /3+ 3.4/3 + 6.9/3 = 18.3/3 = 6.1.

Thus, Tim's overall score is 6.1.

ANSWERED AT 28/03/2020 - 11:40 AM

QUESTION POSTED AT 28/03/2020 - 11:40 AM

Future value of all investments

4,000×(1+0.032×4)+4,000

×(1+0.021)^(4)+7,500×(1

+0.05÷4)^(4×4)

=18,007.90

Total interest earned

18,007.90−(4,000

+4,000+7,500)

=2,507.90 ....answer

4,000×(1+0.032×4)+4,000

×(1+0.021)^(4)+7,500×(1

+0.05÷4)^(4×4)

=18,007.90

Total interest earned

18,007.90−(4,000

+4,000+7,500)

=2,507.90 ....answer

ANSWERED AT 28/03/2020 - 11:32 AM

QUESTION POSTED AT 28/03/2020 - 11:32 AM

At 4.2 years 120555 at 90.5. So your Most Logical Answer is B

ANSWERED AT 28/03/2020 - 11:31 AM

QUESTION POSTED AT 28/03/2020 - 11:31 AM

**Answer:**

**Amount Mrs. Ming invested in account paying 6% is 1500 - 820 = $ 680. **

**Step-by-step explanation:**

Let Mrs. Ming invest amount in a account

So the amount in 2nd account

Rates are,

%

%

We use formula of Simple interest,

According to the question,

Therefore, **Amount Mrs. Ming invested in account paying 6% is 1500 - 820 = $ 680. **

ANSWERED AT 28/03/2020 - 11:28 AM

QUESTION POSTED AT 28/03/2020 - 11:28 AM

The answer is B.

The rest of the answers are

1. D

2. D

3. C

4. B

5. C

6. B

7. B

8. B

9. A

10. C

The rest of the answers are

1. D

2. D

3. C

4. B

5. C

6. B

7. B

8. B

9. A

10. C

ANSWERED AT 28/03/2020 - 11:24 AM

QUESTION POSTED AT 28/03/2020 - 11:24 AM

B(n) = A(1 + i)^n - (P/i)[(1 + i)^n - 1]

where B is the balance after n payments are made, i is the monthly interest rate, P is the monthly payment and A is the initial amount of loan.

We require B(n) = 0...i.e. balance of 0 after n months.

so, 0 = A(1 + i)^n - (P/i)[(1 + i)^n - 1]

Then, with some algebraic juggling we get:

n = -[log(1 - (Ai/P)]/log(1 + i)

Now, payment is at the beginning of the month, so A = $754.43 - $150 => $604.43

Also, i = (13.6/100)/12 => 0.136/12 per month

i.e. n = -[log(1 - (604.43)(0.136/12)/150)]/log(1 + 0.136/12)

so, n = 4.15 months...i.e. 4 payments + remainder

b) Now we have A = $754.43 - $300 = $454.43 so,

n = -[log(1 - (454.43)(0.136/12)/300)]/log(1 + 0.136/12)

so, n = 1.54 months...i.e. 1 payment + remainder

where B is the balance after n payments are made, i is the monthly interest rate, P is the monthly payment and A is the initial amount of loan.

We require B(n) = 0...i.e. balance of 0 after n months.

so, 0 = A(1 + i)^n - (P/i)[(1 + i)^n - 1]

Then, with some algebraic juggling we get:

n = -[log(1 - (Ai/P)]/log(1 + i)

Now, payment is at the beginning of the month, so A = $754.43 - $150 => $604.43

Also, i = (13.6/100)/12 => 0.136/12 per month

i.e. n = -[log(1 - (604.43)(0.136/12)/150)]/log(1 + 0.136/12)

so, n = 4.15 months...i.e. 4 payments + remainder

b) Now we have A = $754.43 - $300 = $454.43 so,

n = -[log(1 - (454.43)(0.136/12)/300)]/log(1 + 0.136/12)

so, n = 1.54 months...i.e. 1 payment + remainder

ANSWERED AT 28/03/2020 - 11:20 AM

QUESTION POSTED AT 28/03/2020 - 11:20 AM

**The answer would be:**

$1.35

ANSWERED AT 28/03/2020 - 11:14 AM

QUESTION POSTED AT 28/03/2020 - 11:14 AM

See the formula of the present value of annuity ordinary through Google

Solve for PMT

PMT=65,000÷(((1−(1+0.055)^(−10))÷(0.055)))=8,623.40

Solve for PMT

PMT=65,000÷(((1−(1+0.055)^(−10))÷(0.055)))=8,623.40

ANSWERED AT 28/03/2020 - 11:14 AM

QUESTION POSTED AT 28/03/2020 - 11:14 AM

**Answer:**

D. $217.66

**Step-by-step explanation:**

The equation for compound interest is

, where p is the amount of principal invested, r is the interest rate, n is the number of times per year the interest is compounded and t is the number of years.

Our principal is 7201, our interest is 6% (0.06) and our value for n is 4, since it is compounded quarterly. Our value for t will be 0.5, since 2 quarters make one half of a year:

This is the total amount in the account. To find the amount of interest, subtract the principal:

7418.65-7201 = 217.65

This is closest to 217.66.

ANSWERED AT 28/03/2020 - 11:12 AM

QUESTION POSTED AT 28/03/2020 - 11:12 AM

See the formula of the future value of annuity due through Google

FVAD=1,000×(((((1+0.05)^(4)−1)

÷0.05))×(1+0.05))=4,525.63

FVAD=1,000×(((((1+0.05)^(4)−1)

÷0.05))×(1+0.05))=4,525.63

ANSWERED AT 28/03/2020 - 11:04 AM

QUESTION POSTED AT 28/03/2020 - 11:04 AM

Well, first you have to try to find the missing numbers. ONce you do that, you have to add it all up and the final avrage will be B.

ANSWERED AT 28/03/2020 - 11:03 AM

QUESTION POSTED AT 28/03/2020 - 11:03 AM

100 is how long the shadow would be.

To solve, remember the ratio for a 30/60/90 triangle:

short side = x

long side = x

hypotenuse = 2x

the short side is the building, which is 100, so the long side is 100

To solve, remember the ratio for a 30/60/90 triangle:

short side = x

long side = x

hypotenuse = 2x

the short side is the building, which is 100, so the long side is 100

ANSWERED AT 28/03/2020 - 11:00 AM

QUESTION POSTED AT 28/03/2020 - 11:00 AM

**Answer:**

**4.643 seconds**

**Step-by-step explanation:**

We have been given that

s = 6 feet

v = 73 feet per second

**Substituting these values in the formula**

**When the ball hits the ground, the height becomes zero. Thus, H(t)=0**

**We solve the equation using quadratic formula **

**Substituting the values**

time can't be negative. Hence, t = 4.643.

**Hence, the ball will take 4.643 seconds to hit the ground.**

ANSWERED AT 28/03/2020 - 10:59 AM

QUESTION POSTED AT 28/03/2020 - 10:59 AM

The correct answer is 1760 :)

ANSWERED AT 28/03/2020 - 10:55 AM

QUESTION POSTED AT 28/03/2020 - 10:55 AM

She needs a 95 because the average without 95 is 88.75 then 85 + 80 + 92 + 98 + 95 = 450 then 450÷5=90 so 95 is the answer

ANSWERED AT 28/03/2020 - 10:51 AM

QUESTION POSTED AT 28/03/2020 - 10:51 AM

Use trig rules twice, get each distance, add for total distance, compute velocity.

Full answer in picture.

Full answer in picture.

ANSWERED AT 28/03/2020 - 10:44 AM

QUESTION POSTED AT 28/03/2020 - 10:44 AM

The correct answer is C.

Because: 2.9 multiplied by 10 bags equals 29cubic ft and she needs 30 cubic ft. So she would need to buy 11 bags to make sure she has enough sand for the whole thing. 11 x 2.9 = 31.9 which ensures she has enough for the whole thing including extra in case. So you answer would be Answer C.

Because: 2.9 multiplied by 10 bags equals 29cubic ft and she needs 30 cubic ft. So she would need to buy 11 bags to make sure she has enough sand for the whole thing. 11 x 2.9 = 31.9 which ensures she has enough for the whole thing including extra in case. So you answer would be Answer C.

ANSWERED AT 28/03/2020 - 10:39 AM

QUESTION POSTED AT 28/03/2020 - 10:39 AM

The ladder will touch the wall at 8 ft

ANSWERED AT 28/03/2020 - 10:39 AM

QUESTION POSTED AT 28/03/2020 - 10:39 AM