Answer:
Step-by-step explanation:
Let x represent the amount Peter invested at 14%. Then (x-900) is the amount he invested at 6%. His total interest earned is ...
0.14x + 0.06(x -900) = 221
0.20x = 275 . . . . . . . . . . . . . . . . add 54, simplify
x = 1375 . . . . . . . . . . . . . . . . . . . .divide by 0.2; amount invested at 14%
(x-900) = 475 . . . . . . . . . . . . . . . amount invested at 6%
Peter invested $475 in the 6% account and $1375 in the 14% account.
The second option is the correct cjoice
We can use a modified form of the Pythagorean Theorem to find the length of x, also known as side b.
Pythagorean Theorem:
a^2 + b^2 = c^2
We can fill in the values of a^2 and c^2, and then solve for b.
14^2 + b^2 = 25^2
196 + b^2 = 625
Subtract 196 from both sides.
b^2 = 429
√ both sides.
b = 20.7
<h3>The value of x, or b, is equal to 20.7.</h3>
Answer:
is not a logarithmic function because the base is equal to 1.
Step-by-step explanation:
A logarithmic function is of the form: 
For a logarithmic function to exist, we must fulfill certain conditions. The conditions are
i. The base, 
, is greater than 0. 
ii. The base, , is not equal to 1. 
iii. 
must be greater than 0. 
Now, if we observe all the choices given, we conclude that the third choice is correct as the base there is 1. If base is equal to 1, then it violates the definition of logarithmic functions. So, the correct choice is:
is not a logarithmic function because the base is equal to 1.
sorry this is late!!
#1 - A circular grid like this one can be helpful for performing dilations
#2 - To perform a dilation, we need a (In order to perform a dilation, students will need to know the center of dilation (which can be communicated using the coordinate grid), the coordinates of the polygon that they are dilating (also communicated using the coordinate grid), and the scale factor.)
