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Vanyuwa [196]
3 years ago
6

Kaya rented a limousine. There was a one-time charge of $100 dollars, plus an hourly rate of $45. Her total cost for the night w

as $347.50. How many hours did Kaya rent the limo for?
Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0

Answer:

5 hours 30 minutes

Step-by-step explanation:

347.50-100 (initial fee)=247.50. 247.50/45= 5.5 hours

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Simplify 16^-4 by making the exponent positive
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3 years ago
How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (
aleksandr82 [10.1K]

Answer:

The principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

Step-by-step explanation:

Given

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To determine:

  • Principle amount P = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

P\:=\frac{A}{\left(1\:+\:\frac{r}{n}\right)^{nt}}

substituting A = 1000000, r =  0.06, t = 45, and n = 12

P\:=\frac{1000000}{\left(1\:+\:\frac{0.06}{12}\right)^{12\cdot 45}}\:

    =\frac{1000000}{1.005^{540}}

P = 67659.17 $

Therefore, the principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

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Basically, we need to plug in the given values for the variables x and y into the given expression 1.3(x+2)-(y-6). First off, we can plug in all the given values into the expression, giving us 1.3(4+2)-(2-6). Now, perform the operations on the inside of the parentheses. Doing this, we get 1.3(6)-(-4). Now, we use the distributive property to simplify. This gives us 7.8+4. Finally, when we add the two numbers, we get \boxed{11.8}. Hope this helped!
6 0
3 years ago
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