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snow_tiger [21]
2 years ago
7

Four and two fifths + two and two thirds=pls help

Mathematics
1 answer:
Nataly_w [17]2 years ago
8 0

Answer:

7 and 1/15

Step-by-step explanation:

4+2 then add two fifths with two thirds (convert them into a mixed number)

Write the mixed number as a sum of the whole number (6+1 1/15)

6+1 is 7

answer is 7 1/15

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George is considering two different investment options. The first option offers 7.4% per year simple interest on the
jok3333 [9.3K]

Answer:

Part A: The value of the simple interest investment at the end of three years is $12,220

Part B: The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C: The simple interest investment is better over the first three years

Part D: I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

Step-by-step explanation:

Part A:

A = P + P r t, where

  • A represents the value of the investment
  • P represents the original amount
  • r represents the  rate in decimal
  • t represents the time in years

∵ George deposits $10,000

∴ P = 10,000

∵ First option offers 7.4% per year simple interest

∴ r = 7.4% = 7.4 ÷ 100 = 0.074

∵ He may not withdraw any of  the money for three years after

   the initial deposit

∴ t = 3

- Substitute all of these values in the formula above

∴ A = 10,000 + 10,000(0.074)(3)

∴ A = 10,000 + 2,220

∴ A = 12,220

The value of the simple interest investment at the end of three years is $12,220

Part B:

A=P(1+\frac{r}{n})^{nt}, where

  • A represents the value of the investment
  • P represents the original amount
  • r represents the  rate in decimal
  • n is a number of periods of a year
  • t represents the time in years

∵ George deposits $10,000

∴ P = 10,000

∵ The second option offers a 6.5% interest rate compounded quarterly

∴ r = 6.5% = 6.5 ÷ 100 = 0.065

∴ n = 4 ⇒ quarterly

∵ He may not withdraw any of  the money for three years after

   the initial deposit

∴ t = 3

- Substitute all of these values in the formula above

∴ A=10,000(1+\frac{0.065}{4})^{(4)(3)}

∴ A=10,000(1.01625)^{12}

∴ A = 12,134.08

The value of the compounded quarterly interest investment at the end of three years is $12,134.08

Part C:

∵ 12,220 > 12,134.08

∴ The simplest interest investment is better than the compounded

    interest investment at the end of three years

The simple interest investment is better over the first three years

Part D:

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

Look to the attached graph below

  • The red line represents the simple interest investment
  • The blue curve represents the compounded interest investment
  • (Each 1 unit in the vertical axis represents $1000)
  • After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest
  • After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

4 0
3 years ago
Please help with the answer below
kenny6666 [7]

Answer:

f(x) =  \frac{x + 7}{6 - x}  \\  \frac{3}{2}  =  \frac{x + 7}{6 - x}  \\ 3(6 - x) = 2(x + 7) \\ 18 - 3x = 2x + 14 \\  - 3x - 2x = 14 - 18 \\  - 5x =  - 4 \\  \frac{ - 5x}{ - 5}  =   \frac{ - 4}{ - 5}  \\ x =  \frac{4}{5}

3 0
2 years ago
HELPPPPPPP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
denpristay [2]

Answer:

answer is 9

Step-by-step explanation:

1st method: Proportion

15/100 = n/60

cross-multiply to get:

100n = 900

n = 900/100

n = 9

2nd method: Convert % to Decimal and Multiply

.15 × 60 = 9

8 0
3 years ago
Can someone help I don’t understand my answer are not adding up
andriy [413]

Answer:

B

Step-by-step explanation:

∠ ABC = 9x + 5 ( alternate angles )

∠ ABC and ∠ DCB are sam- side interior angles and sum to 180° , that is

9x + 5 + 16x = 180

25x + 5 = 180 ( subtract 5 from both sides )

25x = 175 ( divide both sides by 25 )

x = 7

Then

∠ ABC = 9x + 5 = 9(7) + 5 = 63 + 5 = 68° → B

6 0
3 years ago
The table represents the details of the loan for Carla's new car purchase. What is the value of C?   Cost of car $14,890 Down Pa
Levart [38]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The amount financed (A) is the cost less the down payment.

The amount repaid (B) is the monthly payment times the number of months.

The finance charge (C) is the difference between the amount repaid and the loan amount.

The total cost (D) is the sum of the cost of the car and the finance charge.

4 0
2 years ago
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