Find four consecutive multiples of 5 with a sum of 210.
2 answers:
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Answer:
- after week 7: 4374 pennies
- 486 pennies: after week 5
Step-by-step explanation:
The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...
an = 6·3^(n-1)
This can be rearranged to ...
an = 2·3^n
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When n=7, the value is ...
a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks
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To find when there are 486 pennies saved, we can solve the equation ...
486 = 2·3^n
243 = 3^n
log(243) = n·log(3) . . . . . . . take the logarithm
log(243)/log(3) = n = 5 . . . . divide by the coefficient of n
Tabitha will have saved 486 pennies after 5 weeks.
Answer:
does NOT have right angles at the corners
Step-by-step explanation:
we are given that the sides of a table are 27" and 36" long.
If we assume the table to be rectangular, then by Pythagorean formula, we can find the diagonal and compare it to the 40" that we are given.
(refer to attached)
diagonal² = 27² + 36²
diagonal² = 27² + 36²
diagonal² = 2025
diagonal = √2025
diagonal = 45 inches
because the diagonal that we found is not the same as the 40" that was given, we can conclude that the table is not a rectangle (i.e does not have right angles at the corners)
