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

Answered by admin 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
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Related questions

At a carnival game, you randomly throw two darts at the board and break two balloons out of 15. What is the probability that both the balloons you break are purple? Write your answer as a fraction or percent rounded to the nearest tenth. (3 red, 4 blue, 2 green, 2 yellow, 4 purple)

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

Joe has two empty boxes, one box is 15 inches wide, 20 inches long and 10 inches high. The second box has the same length and width but is 4 inches taller. How much additional spaces is in the box

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

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


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

Which of the equations has a solution of 7. y - 41 = 48 m + 6= 1 z - 2 = 5 n + 50 = 30

The answer to th question is 7.

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


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

Which of the equations has a solution of 7. y - 41 = 48 m + 6= 1 z - 2 = 5 n + 50 = 30

The third one because you plug 7 in for z
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

Krypton-91 is a radioactive substance that decays very quickly. The function Q(t)=Qoe^-kt models radioactive decay of krypton-91. Q represents the quantity remaining after t seconds and the decay constant k is approximately 0.07. How long will it take a quantity of krypton-91 to decay t o10% of its origional amount? round your answer to the nearest second.

Answer:

32.894 seconds ≈ 33 seconds

Step-by-step explanation:

Function : Q(t)=Q_0 e^{-kt}

The function models radioactive decay of krypton-91.

The decay constant k is approximately 0.07.

Q_0 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

\Rightarrow 10\%\times Q_0

\Rightarrow 0.10\times Q_0

So, we neet to find t at which Q(t)=0.10 Q_0

0.10 Q_0=Q_0 e^{-0.07t}

0.10 =e^{-0.07t}

Taking log both sides

\log0.10 =-0.07t \log e

\log0.10 = -0.07t \times 0.434294481903

-1 = -0.0304006137332t

\frac{-1}{-0.0304006137332} = t

32.894= t

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

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. Which recursive formula models the total amount of money still owed, mc022-1.jpg?

Answer:

Option B is correct

a_n = a_{n-1}-75 ; a_1 = 600

Step-by-step explanation:

The recursive formula for the arithmetic sequence is given by:

a_n = a_{n-1}+d              .....[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, a_1 = 600

and d = -75

Since,

525-600 = -75

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

Substitute the given values in [1] we have;

a_n = a_{n-1}-75

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

a_n = a_{n-1}-75 ; a_1 = 600

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


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

Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of the pipe? A. 120 feet B. 17 feet C. 23 feet D. 289 feet

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,

hypotenuse^2=perpendicular^2+base^2\\\Rightarrow\ diagonal^2=length^2+width^2\\\text{substitute the values of length and width,we get}\\\Rightarrow\ diagonal^2=15^2+8^2=225+64=289\\\Rightarrow\ diagonal=\sqrt{289}= \sqrt{17\times17}=17

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

Ralph is an electrician. He charges an initial fee of $24, plus $33 per hour. If Ralph earned $189 on a job, how long did the job take?

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

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


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

Carl puts $1.10 in his penny bank every day in the month of July (31 days). His total savings was $55.00 at the end of June.What's the best estimate for Carl's savings at the end of July?

$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

A small start-up company with 15 employees will select its 4 board members from among the employees. How many different groups of board members are possible?

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: 
Total=15P4=\frac{15!}{(15-4)!}=\frac{15!}{11!} =15\times14\times14\times13\times 12 = 32760

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


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

Tim’s quizzes count for 50% of his grade, his notes counts for 20% of his grade, and tests count for 30% of his grade. If he has quiz scores of 5, 2, and 9, notes scores of 3, 9, and 5, and test scores of 9, 5, and 9, his overall score is _____. Do not round your answer.

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

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


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

Sergio has decided to diversify his investments in the following way: $4,000 in an account earning 3.2% simple interest $4,000 in a savings account earning 2.1% interest compounded annually $7,500 in a certificate of deposit earning 5% interest compounded quarterly How much total interest will Sergio earn on his investments at the end of 4 years?

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

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


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

Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?

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 P_1=x

So the amount in 2nd account P_2=1500-x

Rates are,

R_1=8 %

R_2=6%

We use formula of Simple interest,

Simple\:interest=\frac{P\times R\times T}{100}

According to the question,

\frac{P_1\times R_1\times T}{100}+\frac{P_2\times R_2\times T}{100}=106.40

\frac{x\times8\times1}{100}+\frac{(1500-x)\times6\times1}{100}=106.40

8x+6(1500-x)=106.40\times100

8x+9000-6x=10640

2x=1640

x=820

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

Sarah picks a bushel of apples in 45 min. Andy picks a bushel of apples 75. How long will it take them to pick a bushel together? A) about 14 min B) about 28 min C)about 40 in D)about 60 min

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

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


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

You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your debts. How many months will it take to pay off the credit card if you put all of the available money toward the credit card each month and make the payments at the beginning of the month?

 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 

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


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

Oscar Montez’s savings account has a principal of $7,201. It earns 6% interest compounded quarterly. What is the amount of interest he earned by the end of the second quarter? A. $108.01 B. $15.03 C. $231.06 D. $217.66

Answer:

D. $217.66

Step-by-step explanation:

The equation for compound interest is

A=p(1+\frac{r}{n})^{nt}, 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:

A=7201(1+\frac{0.06}{4})^{4*0.5}\\\\=7201(1+0.015)^2\\\\=7201(1.015)^2\\\\=7201(1.030225)\\\\=7418.65

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

A building that is 100 ft tall casts a shadow that makes a 30 degree angle with the ground. Approximately how long, in feet, is the shadow across the ground?

100 \sqrt{3} is how long the shadow would be.

To solve, remember the ratio for a 30/60/90 triangle:
short side = x
long side = x \sqrt{3}
hypotenuse = 2x

the short side is the building, which is 100, so the long side is 100 \sqrt{3}

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


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

Amir pitches a baseball at an initial height of 6 feet, with a velocity of 73 feet per second. If the batter misses, about how long does it take the ball hit the ground? Hint: Use H(t) = -16t^2+vt+s

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 H(t)=-16t^2+vt+s

H(t)=-16t^2+73t+6

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

-16t^2+73t+6=0

We solve the equation using quadratic formula x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substituting the values a=-16,\:b=73,\:c=6

t_{1,\:2}=\frac{-73\pm \sqrt{73^2-4\left(-16\right)6}}{2\left(-16\right)}\\\\=\frac{-73\pm\sqrt{5713}}{-2\cdot \:16}\\\\=-0.081,4.643

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