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KengaRu [80]
3 years ago
10

3(t-7) =6. Solve for the and show steps

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0
 3(t -7) = 6 \\ 3(t) + 3(-7)\\ 3(-7) = -21 \\ 3t = 3t \\ 3t - 21 = 6 \\Add21: 3t - 21 + 21 = 6 +21 \\ 3t = 21: Divide3 \\  \frac{3t}{3} cancel =  \frac{27}{3}keep \\ t = 9
________________________________________________________________
 8(h - 9) = 8 \\ 8h - 9 = 9 \\ 8h = 8h \\ 8(-9) = -72\\ 8h + (-72)  = \\ 8h - 72 = 8 \\ Add72: 8h - 72 + 72  \\  = 8 + 72 \\ divide8 :  \frac{8h}{8}cancel =  \frac{80}{8} (keep) \\ h = 10
________________________________________________________________
 9 + 2(z - 2) = 15 \\ 9+2(z)+ 2(-2)= 15 \\ 2(-2) = -4 \\ 9 +2z = ? \\  9 +2z+4 = 15\\  Subtract5: 2z + 5 -5 \\ = 15 -5 \\ Divide2: 2z = 10 \\  \frac{2z}{2}cancel =  \frac{10}{2} = 5 \\ z = 5
:)                                                                                                                                             :)
good luck on your assignment and enjoy your day

~MeIsKaitlyn:)
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3 years ago
Raylan opened a savings account with $100. After 5 years there is $122. 50 in the account. What is his simple interest rate?
serious [3.7K]
<h3>Answer:</h3>

4.5% annually

<h3>Step-by-step explanation:</h3>

Simple interest is the amount of interest added to a singular sum of money at a fixed rate.

Formula

The formula for simple interest is A = P(1+rt). In this formula, A is the total amount of money in the account, P is the original amount deposited, r is the rate of interest as a decimal, and t is the time in years.

Calculations

To find the rate, plug the information we know into the formula above

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Divide both sides by 100

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Subtract 1 from both sides

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Divide both sides by 5

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This gives us the rate as a decimal. So, to find the rate as a percent. Do this by moving the decimal 2 places to the right (or just multiply by 100, they do the same thing). This means that the rate of simple interest is 4.5%.

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