Answer:
x = 4.45 or x = - 4.45
Step-by-step explanation:
Here are the steps:
Substitute the values,
÷ 2 × 1
x = 2 ± √6
x = 4.45 or x = - 4.45
<em>good luck, i hope this helps :)</em>
Answer:
Step-by-step explanation:
r = 12 cm
Theta = 62
Length of arc = 

= 12.98 cm
The question is incomplete. The complete question is :
Jaina and Tomas compare their compound interest accounts to see how much they will have in the accounts after three years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Jaina $300 7% 3 Once a year Tomas $400 4% 3 Once a year. Which pair of equations would correctly calculate their compound interests?
Solution :
It is given that Jaina and Tomas wants to open an account by depositing a principal amount for a period of 3 years and wanted to calculate the amount they will have using the compound interest formula.
<u>So for Jiana</u> :
Principal, P = $300
Rate of interest, r = 7%
Time, t = 3
Compounded yearly
Therefore, using compound interest formula, we get



<u>Now for Tomas </u>:
Principal, P = $400
Rate of interest, r = 4%
Time, t = 3
Compounded yearly
Therefore, using compound interest formula, we get



Therefore, the pair of equations that would correctly calculate the compound interests for Jaina is
.
And the pair of equations that would correctly calculate the compound interests for Tomas is
.
Answer: 715 Miles
Step-by-step explanation:
Divide 605 miles by 11 hours, which would give you how far he travels in 1 hour. (605/11=55) Since they give you 13 hours, multiply 13 hours by 55 miles which gets you 715 miles :)
The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.
<h3>How to determine the instantaneous rate of change of a given function</h3>
The <em>instantaneous</em> rate of change at a given value of
can be found by concept of derivative, which is described below:

Where
is the <em>difference</em> rate.
In this question we must find an expression for the <em>instantaneous</em> rate of change of
if
and evaluate the resulting expression for
. Then, we have the following procedure below:




Now we evaluate
for
:

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. 
To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037