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Pie
3 years ago
7

Nathan is going to invest in an account paying an interest rate of 1.9% compounded continuously. How much would Nathan need to i

nvest, to the nearest dollar, for the value of the account to reach $280 in 12 years?
Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Answer:

223 (rounded to closest one) actual answer would be 222.91479275

Step-by-step explanation:

use formula A=Pe^nt

$280 = Pe^0.019(12)

$280 = Pe^0.228, then evaluate the solution by isolating the variable and dividing each side by the factors which don't contain the variable.

P = 222.91479275

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Answer choices <br>• (2⅓)<br>• (1⅔)<br>• (9,-6) <br>•(1⁴/³)​
Marianna [84]

                                    303.875303.875303.875303.875303.875303.875303.875

3 0
3 years ago
You purchased concentrated cleaner that must be diluted (watered down)
abruzzese [7]

Answer:

The volume of the concentrated 80 gallons mixture is 20 gallons

The volume of water in the 80 gallons mixture is 60 gallons

Step-by-step explanation:

The given parameters are;

The content of Container A = The cleaner

The concentration of the cleaner = 20% solution

The content of Container B = Pure water

The concentration of the desired solution = 5%

The volume of the required solution = 80 gallons

Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture

Therefore, we have;

20/100 × x + y×0 = 5/100×80

x + y = 80

y = 80 - x

20/100 × x + (80 - x)×0 = 5/100×80

0.2·x = 4

x = 4/0.2 = 20

x = 20 gallons

y = 80 - x = 80 - 20 = 60

y = 60 gallons

The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons

The volume of water in the 80 gallons mixture = y = 60 gallons.

8 0
3 years ago
Vita saved $72 last December. This amount represents 2/9 of the total amount she saved last year. What is the total amount Vita
GrogVix [38]
\dfrac{2}{9} \text { of the saving} = \$72

-----------------------------------------------
Find 1/9 :
-----------------------------------------------
\dfrac{1}{9} \text { of the saving} = \$72 \div 2

\dfrac{1}{9} \text { of the saving} = \$36

-----------------------------------------------
Find 9/9 :
-----------------------------------------------
\dfrac{9}{9} \text { of the saving} = \$36 \times 9

\dfrac{9}{9} \text { of the saving} = \$324

-----------------------------------------------
Answer: The total amount is $324.
-----------------------------------------------
7 0
3 years ago
Evaluate (1/3)(m) - 1 - (1/2)(n) m=21 and n=12
Aneli [31]

Answer:

the answer is 0

Step-by-step explanation:

(1/3)(21)-1-(1/2)(12)

The first thing you do is that you multiply 1/3 times 21/1 which equal 7 then you  multiply 1/2 times 12/1 which that equal 6 then you solve 7-1-6 and you get 6-6 which equal 0 i hope this help you and i hope you have a goood day.

8 0
3 years ago
Select the correct answer from the drop-down menu.
lidiya [134]

Answer:

6y² - 20y + 6

Step-by-step explanation:

Use FOIL method

(3y - 1)(y-3) = 3y*y + 3y*(-3) + (-1)*y + (-1)*(-3)

                 = 3y²- 9y - y + 3    {add the like terms}

                = 3y² - 10y + 3

2(3y - 1)(y - 3) = 2 ( 3y² - 10y + 3)

                      = 2*3y² - 2*10y + 2*3

                      = 6y² - 20y + 6

6 0
3 years ago
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