1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Radda [10]
2 years ago
7

You invested $11,000 in two accounts paying 3% and 7% annual interest, respectively. If the total interest earned for the year w

as $730, how much was invested at each rate? The amount invested at 3% is $​
Mathematics
2 answers:
Trava [24]2 years ago
6 0

Answer:

I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Step-by-step explanation:

Given that I invested $ 11,000 in two accounts paying 3% and 7% annual interest, respectively, if the total interest earned for the year was $ 730, to determine how much was invested at each rate, the following calculation must be performed:

5,000 x 0.07 + 6,000 x 0.03 = 530

8,000 x 0.07 + 3,000 x 0.03 = 650

10,000 x 0.07 + 1,000 x 0.03 = 730

Therefore, I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Naddik [55]2 years ago
3 0

Answer:

A 3% = 1000 and B 7% = 10000

Step-by-step explanation:

A + B = 11000

A * 0.03 + B * 0.07 = $730

A = 11000 - B

(11000 - B)*0.03 + B*0.07 = 730

330 - 0.03B + 0.07B = 730

330 + 0.04B = 730

0.04B = 400

B = 10000

A = 11000 - B = 11000 - 10000

A = 1000

You might be interested in
Find the volume of the sphere. express your answer in term of Pie​
IceJOKER [234]

Answer:

\large\boxed{36\pi}

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

R - radius

We have R = 3 ?. Substitute

V=\dfrac{4}{3}\pi(3^3)=\dfrac{4}{3}\pi(27)=(4)\pi(9)=36\pi

If the radius is 30, then the volume is:

V=\dfrac{4}{3}\pi(30^3)=\dfrac{4}{3}\pi(27,000)=(4)\pi(9,000)=36,000\pi

If 30 is the length of diameter, then the radius R = 30 : 2 = 15.

Therefore the volume:

V=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3,375)=(4)\pi(1,125)=4,500\pi

3 0
3 years ago
1st box options are: Abut the same.Muh greater for city a than b. much greater for city b than a
umka21 [38]
Mean a=75/10, mean b=73/10............about the same

range a=2-10=8, range b=4-12=8.........about the same
7 0
3 years ago
I NEED HELP ON QUESTION B AND C ASAP.
ipn [44]

Answer:

  • See below

Step-by-step explanation:

<h3>Part B</h3>

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

  • h = 1.8 cm - 0.3 cm = 1.5 cm
<h3>Part C</h3>

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

  • V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³
  • V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³

<u>Total sand in the bottom part:</u>

  • 7.96 + 4.6 = 12.56 cm³

<u>Time taken:</u>

  • 12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds
8 0
2 years ago
Use the formula v = u + at to find the velocity when the initial velocity is 3 m/s the acceleration is 1.5 m/s the time is 7 s
vichka [17]

<em>answer \\ 13.5 \: m/s \\ given \\ initial \: velocity(u) =  \: 3 \: m/s \\ acceleration(a) = 1.5 \: m/s ^2\\ time(t) = 7 \: second \\ now \\ v = u  + at \\ or \: v = 3 + 1.5 \times 7 \\  \: or \: v = 3 + 10.5 \\ v = 13.5 \: m/s \\ hope \: it \: helps</em>

4 0
2 years ago
Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
Goshia [24]

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

4 0
3 years ago
Other questions:
  • a car dealership has 75 cars on the lot. Of the cars, 40% are black. how many black cars are on the lot?​
    5·2 answers
  • What is the greatest common factor of 60 and 75
    12·2 answers
  • If Darnell can buy 10 cases of water for $30.00, how much would it cost for 15 cases
    10·1 answer
  • Divide 260 in to the ratio of 1:3
    13·2 answers
  • A sample of 2,845 auto workers was selected to learn if they would go on strike. Over 50% of those in the sample declared they w
    10·1 answer
  • Luke goes to summer camp with $45 in spending money. The amount of money he has left after n days at camp is modeled by the recu
    9·1 answer
  • Can someone help me with this math homework please!
    13·2 answers
  • Please help me!!!!!<br> What are the answers
    8·1 answer
  • If AACB= ADCE, ZBAC = 3x-10,<br> ZECD = 45°, and ZEDC = 2x+10<br> D<br> C<br> (33<br> E<br> x= [?]
    14·1 answer
  • Amanda is saving to but a new bike that costs $300. Each week she saves $12. Which of the following could be used to determine h
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!