You will have to use this formula:
<span>log(1 + rate) = {log(total) -log(Principal)} ÷ Years
</span>log(1 + rate) = {log(100,000) -log(21,600)} <span>÷ </span><span>Years
</span>log(1 + rate) = { 5 -4.3344537512} / Years
log(1 + rate) =
<span>
<span>
<span>
{ 0.6655462488} / 42
</span></span></span>log(1 + rate) =
<span>
<span>
<span>
0.0158463393
</span>
</span>
</span>
1 + rate = 10^<span>
<span>
0.015846339
</span></span><span>1 + rate = </span>1.0371613856
rate = .0371613856<span>
rate = </span><span>3.71613856%
</span>************************************************************************
Double-Check
Total = principal * (1 +rate)^years
Total = 21,600 * (<span>1.0371613856)^42
</span>
<span>Total = 21,600 * </span>
<span>
<span>
<span>
4.6296296291
</span>
</span>
</span>
<span><span>
</span>
</span>
Total = 100,000
Correct !!
Answer:
1 km < 3,000 m and 4L = 4,000 mL
Answer:
41/99
Step-by-step explanation:
There are two types of non terminating decimals. These are: Simple and Mixed
The one that you wrote up here is Simple, Since 41 is the only number that goes on repeating itself.
And mixed non terminating decimal is like 0.352 whereas 52 keeps repeating itself.
So when you change a non terminating decimal the denominator is always 9. But it depends on the decimal whether it is simple or mixed.
Since the decimal you wrote is simple and 2 digits keep on repeating themselves the denominator will be 99.
And the numerator will be the decimal number that keeps repeating itself without the repeating bar.
Therefore, the answer is 41/99.
Hope it helps ;) ❤❤❤
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Age(x)
7
8
5
8
8
7
7
7
9
8
5
8
6
5
8
Height (Y)
47.3
48.8
41.3
50.4
51
47.1
46.9
48
51.2
51.2
40.3
48.9
45.2
41.9
49.6
The estimated regression equation:
ŷ = 2.73953X + 27.91395
Where ;
X = independent variable
ŷ = predicted or dependent variable
27.91395 = intercept
C.) To obtain the variation in sample values of height estimated by the model, we obtain the Coefficient of correlation:
Using the online pearson correlation Coefficient calculator :
The correlation Coefficient is 0.9696.
which means that the regression model estimated in part (b) explains approximately (0.9696 * 100) = 96.96% = 97% of the variation in the height in the sample.
Answer:
D: x = 1/2
Step-by-step explanation:
D is correct. The solution here is the solution of -6x + 3 = 0, which is x = 1/2.