im almost sure its the First one
Answer:
x=14
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
Answer:
14.42
Step-by-step explanation:
To solve this use the Pythagorean Theorem:
a^2 + b^2 = c^2
64 + 144 = 208
the square of 208 is approximately 14.42
Answer:
<u>The value of the annuity in 10 years will be US$ 15,552.90</u>
Step-by-step explanation:
Let's use the ordinary simple annuity formula to calculate the value of the annuity in 10 years, this way:
FV = Future value of an annuity stream
PMT = Dollar amount of each annuity payment = US% 50
r = Interest rate = 3.5% compounded biweekly = 0.035/26
n = Number of periods in which payments will be made = 26 * 10 = 260
FV = PMT * [(1 + r)ⁿ − 1]/r
Now, replacing with the real values, we have:
FV = 50 * [(1 + 0.035/26)²⁶⁰ − 1]/(0.035/26)
FV = 50 * [(1.001346154)²⁶⁰ − 1]/0.001346154
FV = 50 * 0.41873217/0.001346154
FV = 50 * 311.058148
<u>FV = 15,552.90 </u>
<u>We only rounded the last product to the next cent, in all the other cases we used all the decimals for the calculations.</u>
Answer & Step-by-step explanation:
The problem tells us that ΔABC ≅ ΔDEF. Since we know that this is true, then we also know that ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F.
So, since we are looking for the measurement of ∠F, then all we have to do is know the measurements of ∠C because they are congruent angles.
So, the measurement of ∠F is 63°
