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8_murik_8 [283]
3 years ago
5

Using the point-slope formula (picture)

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0
The answer that you're looking for is B
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Randall has an account balance of $675.54 in a savings account that earns interest at a rate of 2.5% compounded twice a year. If
Alex_Xolod [135]
To calculate amount accrued after a given period of time we use the compound interest formula: A= P(1+r/100)∧n where A i the amount, P is the principal amount, r is the rate of interest and n is the interest period.
In the first part; A= $ 675.54, r= 1.25% (compounded semi-annually) and n =22 ( 11 years ),  hence, 675.54 = P( 1.0125)∧22
   = 675.54= 1.314P
 P= $ 514.109 , therefore the principal amount was $ 514 (to nearest dollar)
Part 2
principal amount (p)= $ 541, rate (r) = 1.2 % (compounded twice a year thus rate for one half will be 2.4/2) and the interest period (n)= 34 (17 years×2)
Amount= 541 (1.012)∧34
             = 541 ×1.5
             = $ 811.5
Therefore, the account balance after $ 811.5.

5 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
Use the distributive property to rewrite the expression: 5(3p -8)
makkiz [27]

Answer:

15p-40

Step-by-step explain

i think is this

8 0
2 years ago
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14 is 56% of what number
Sedbober [7]
7.84  <span> 56% off 14 is equal to (56 x 56) / 100 </span>
8 0
3 years ago
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Peter went to his local zoo where 50% of its exhibits featured lions. If the zoo features 24 exhibits in total, then how many of
Sauron [17]
12 exhibits featured lions since half of 24 is 12.
3 0
3 years ago
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