Answer:
$25,626.53
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 8.5% into a decimal:
8.5% ->
-> 0.085
Now lets plug in the values into the equation:


Lastly, subtract the total from the initial balance:

Michelle earned $25,626.53 in interest.
Answer:
x = −3
Step-by-step explanation:
The equation is
log(2x + 6) + 8 = 3
We combine first subtract 8 on both sides
log(2x + 6) + 8-8 = 3 -8
log(2x + 6) = -5
The log is to base 10
Thus;
10 ⁻⁵ = 2x + 6
0.00001 = 2x + 6
2x = 0.00001 -6
2x = -5.99999
Dividing both sides by 2
x = - 2.999995
<u> ≈ - 3</u>
Answer:
33°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for ∠1, that is
∠1 = 180° - (116 + 31)° = 180° - 147° = 33°
Answer:
16 cm
Step-by-step explanation:
4 cm represents 5 km. There is a total length of 20 km, so you do 20/5=4. Since you have to multiply 5 by 4 to get 20, you also multiply 4cm by 4, and you get 16, or the amount of cm that represents 20 km.
Answer:
the incidence rate is 28.47
Step-by-step explanation:
The computation of the monthly incident rate of active cases is shown below:
Incidence rate is
= 1325 ÷ (47175 - 642) × 1000
= (1325 ÷ 46533 ) × 1000
= 28.47
hence, the incidence rate is 28.47