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Colt1911 [192]
3 years ago
8

Daniel has 402 pieces in building set.He use 186 pieces to build a house.How many pieces does he have left?

Mathematics
1 answer:
Vlada [557]3 years ago
5 0
If he has 402 piece....and he uses 186 pieces...
then he has 402 - 186 = 216 pieces left
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Including a 5% sales tax, an inn charges $189 per night. Find the inn's nightly cost before the tax is added.
SSSSS [86.1K]

Answer:

180

Step-by-step explanation:

Nightly cost = x

x × 5% = Sales Tax

Total Cost : Percentage

      189     :        105%

         x       :        100%

Cross multiply:

189 × 100% = 105% × x

189 = 1.05x

189 ÷ 1.05 = x

x = 180

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Convert 30% to a fraction in simplest form
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3 years ago
A tuition scale for a state university shows an increase of $1,100 each year. If the initial cost was $27,000. What will the cos
oksian1 [2.3K]

If each years cumulate an increase of 1100 dollars, then the cost after 22 years will be the base cost (27000) plus 22 increases (22*1100), for a total of

27000 + 22\cdot 1100 = 27000 + 24200 = 51200

This relates to arithmetic series as follows: a series is arithmetic if, given a starting element x_0, every next element is given by adding a fixed number, called common difference, r. So, the first terms are

  • a_0 = x_0
  • a_1 = x_0 + r
  • a_2 = x_1 + r = (x_0+r) + r = x_0 + 2r
  • a_3 = x_2 + r = (x_0+2r) + r = x_0 + 3r
  • a_4 = x_3 + r = (x_0+3r) + r = x_0 + 4r

So, you can see that the element x_n is obtained by adding n times the common ratio to the starting element.

Since the element a_n represents the cost after n years, we are interested in the element

a_{22} = x_0 + 22r = 27000 + 22\cdot 1100 = 512000

As we had already calculated.

7 0
3 years ago
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