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bezimeni [28]
3 years ago
8

alfred deposited $893.78 in a savings account that earns 2.2% simple interest. What is alfreds account balance after seven years

?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
7 0
Hello!  The formula for finding simple interest is prt. That means multiply the principal (initial amount) by the rate (percentage) by time (months or years). The principal is $893.78 and the interest rate is 2.2%. 893.78 * 2.2% (0.022) is 19.66316. Do not delete that number. The time is 7 years. Now multiply that number by 7 in order to get 137.64212 or $137.64 when rounded to the nearest whole hundredth.  Now, let's add both numbers. 893.78 + 137.64 is 1,031.42. There. Alfred's balance after seven years is $1,031.42.
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Add and Subtract Rational Expressions with a Common Denominator
Sladkaya [172]

Answer:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}

Step-by-step explanation:

<u>Simplifying Rational Expressions</u>

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}

Operating on the numerators:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}

Removing parentheses:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}

Simplifying:

\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}

The expression cannot be further simplified.

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2 years ago
In 4 games, Larry averaged 23 PPG (points per game). How many points does he need to score in the last game to have an average o
ivann1987 [24]
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To find the answer, we can solve the equation:

\frac{(4)23+p}{5}=25

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To find the mean of a group of numbers, you add them all up and divide the total by the number of numbers there are. Since Larry averaged 23 PPG in 4 games, we can multiply 23 by 4 to get the total of the first 4 games from the data. Then, we find <em>p</em>, which we will add to get our final total. Then, you divide by the 5 games.

\frac{(4)23+p}{5}=25
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First, I simplified 4 x 23 to get 92. Then, I multiplied each side by 5 to get rid of the denominator. Finally, I subtracted 92 from each side to isolate <em>p</em>, and found that <em>p</em> = 33.


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Step-by-step explanation:

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