You have traveled 150 miles per gallon. how far did you travel per gallon?

Mathematics

1 answer:

anyanavicka [17]3 years ago

8 0

Answer:

If you are looking for an equation, 150g=m

Step-by-step explanation:

g=gallons

m=gallons

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Otis has saved $18,500 so far to buy a house. He can put this amount into account that earns 5.1% simple interest, or another wi

Troyanec [42]

Answer:

J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

Hope this helps, have an amazing day!

8 0

3 years ago

Sarah has 284 coins in a piggy bank with a total value of $22.78. Sarah has 173 pennies, 5 more dimes than nickels, the rest are

pickupchik [31]

Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)

a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1) N + D + Q = 111 coins

b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins

c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:

(1) N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78

7 0

3 years ago

How many complex roots does the polynomial equation below have? x^5 - 3 = 0

const2013 [10]

For any polynomial equation, The Fundamental Theorem of Algebra tells you that the highest degree present will tell you how many complex roots the equation has. There are only two terms, " $x^{5}$ " and "3". The $x^{5}$ term has a degree of 5, its exponent. The 3 term has a degree of zero, because you could write it as $3 * x^{0} = 3 * 1$ using the zero exponent rule.