Answer:
a=
Step-by-step explanation:
As we have 2 of the angles, we can find the third. The measure of the third angle is 45 degrees.
As this is the same measure as the other, that means that the side length will be the same.
Now was have two side lengths of 17 in a right triangle, so we can use the Pythagorean theorem to find a.
Recall that the pythagorean theorem states: 
In this case, a is 17, b is 17, and c is a
Knowing this, we can input our value into this formula and solve for a.
Answer:
25306
Step-by-step explanation:
a=starting value = 20000
r=\text{rate = }4\% = 0.04
r=rate = 4%=0.04
\text{Exponential Growth:}
Exponential Growth:
b=1+r=1+0.04=1.04
b=1+r=1+0.04=1.04
\text{Write Exponential Function:}
Write Exponential Function:
y=20000(1.04)^x
y=20000(1.04)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=20000(1.04)^{6}
y=20000(1.04)
6
y= 25306.38037
y=25306.38037
<u>Answer:</u>
2(-5 - 7j) = -10 - 14j
<u>Step-by-step explanation:</u>
Using the distributive property means that we have to multiply both -5 and -7j by 2:
2(-5 - 7j)
⇒ 2 × -5 + 2 × -7j
⇒ -10 - 14j
The formula for compound interest
A = P( 1 + r/n) ^ (nt)
A is the amount in the account at the end
P is the principal balance or the amount initially invested
r is the annual interest rate in decimal form
n is the number of times it is coupounded per year
t is the number of years
A = 1800 ( 1+ .0375/1) ^ (1*6)
A = 1800 ( 1.0375)^6
A = 2244.92138
Rounding to the nearest cent
A = 2244.92
Hello! First we should note that the shape of the figure can be broken down into two rectangular prisms, so that the expression will look like:
Volume = (w • h • l) vertical rectangular prism + (w •h • l) horizontal rectangular prism
Thus Volume = (7 • 3 • 3) + (9 • 3 • 4)
