Ok, so the formula for compound QUARTERLY is A=P(1+ʳ/n)ⁿ<span>ᵗ.
P= The initial amount.
R= The Rate
T= The Time/Number of Years
N= Number of time interest is compounded per year. (In this case its 4 because it compounded QUARTERLY.)
So if you input the numbers, you will get A=10,000(1+0.0625/4)</span>⁴⁽²⁵⁾<span>
Now solve inside the parenthesis.
10,0 00(1.0625/4)</span>⁴⁽²⁵⁾
Now you will need a calculator for the next part...
Do 1.0625/4 and times it by 10,000 .
You will get 0.0265265. You can't for get about the ⁴⁽²⁵⁾.
⁴⁽²⁵⁾=<span>¹⁰⁰
</span>2,656.25¹⁰⁰=
$47134.43 Hope This Helped!
Answer:
Complementary angles.
Step-by-step explanation:
Notice that
and
, by given.
, by sum of angles.
, by supplementary angles definition.

Which means,

Therefore,
, in other words, angles a and b are complementary by definition.
Answer:
(c) 
Step-by-step explanation:
Given
The attached graph
Required
Find h(3)
The formula to use in solving this is:

Substitute 3 for x

From the attached graph, the value od x = 3 points to the value of y = 1.
So, we have:

Use Pythagorean theorem:
9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80
now divide both terms in V by that:
u = 9/sqrt(80)i - 1/sqrt(80)j
see attached picture: