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gonzalezashley152
22.09.2019 •
Mathematics
Find a formula for value of v, an investment ($), initially worth $16000 that grows 12% every 7 years
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Ответ:
The amount an investment of 16000 grows over 7 years is 16000*0.12 (i.e., 12% of 16000). So, the total amount after 7 years is 16000 + 16000*0.12, which is the same as writing 16000*1.12. Now, continue the same argument: the amount we now have 16000*1.12 grows after another 7 years to (16000*1.12)*1.12. Third 7-year period, again, (16000*1.12*1.12*)*1.12, and so on. As you can already see the number of periods shows up as the number of factors 1.12 multiplied here. A shorthand for writing that is to use the exponent, like this
.
Generalizing to n 7-year periods yields a formula:
Ответ:
(A)
Step-by-step explanation:
From the given figure, we have to prove whether the two given triangles are congruent or similar.
Thus, From the figure, ∠3=∠4 (Vertically opposite angles)
Since, KL and NO are parallel lines and KO and LN are transversals, then
measure angle 1= measure angle 5 that is ∠1=∠5(Alternate angles).
Thus, by AA similarity rule, ΔKLM is similar to ΔONM.
Thus, Option A that is Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5 is correct.