The problem statement is not clear regarding which money is invested. We will assume it is the 80% of $8750 that is set aside for future education. That amount is
... 0.80 × $8750 = $7000
If x represents the amount invested at 7%, then the total interest earned is
... (7000 -x)×4% + (x)×7% = 420
... 280 +0.03x = 420
... x = 140/0.03 ≈ 4666.67
$4666.67 was invested at 7%.
$2333.33 was invested at 4%.
Answer:
Step-by-step explanation:
AK is angle A bisector, then
BL is angle B bisector, then
Consider triangle ABL. The sum of the measures of all interior angles in this triangle is 
then
Consider triangle ABK. In this triangle,
![m\angle AKB=180^{\circ}-2x^{\circ} \ [\text{Supplementary angles}]](https://tex.z-dn.net/?f=m%5Cangle%20AKB%3D180%5E%7B%5Ccirc%7D-2x%5E%7B%5Ccirc%7D%20%5C%20%5B%5Ctext%7BSupplementary%20angles%7D%5D)
The sum of the measures of all interior angles in this triangle is then
Hence,
Find the measures of the triangle ABC:
Answer:
15.5833333333
Step-by-step explanation:
12 1/4 + 3 1/3 = 15.5833333333
Hope this helps :)
Answer:
2nd option
Step-by-step explanation:
trinomial is 2x² + 10x -4 = 0
a = 2
b = 10
c = -4
(-b±√b²-4ac) / 2a
= [-10±√100-4(2)(-4)] / 2
= (-10±2
) / 4
= (-5+)/2, = (-5-)/2 (simplified)
Answer:
two sample z-test for population proportions
Step-by-step explanation:
The hypothesis test that would best fit this scenario would be a two sample z-test for population proportions. This is because you have a single population which is divided into two categories, those who do exercise and those who don't. Since you have two options and the outcome of the test needs to be either true or false then this hypothesis test would provide the best results for this scenario by comparing the data and then providing a simple true or false output for the question provided.
