The answer is simple
First find the angle measures of first triangle:
statement:
we know that the sum of 45 and 30 sums up to the opposite angle and that is equal to 75, then to find the next remaining angle:
180-(75+20)=85
The you find the supplement of 85:
180-85=95
so x = 95
Hope it helps
Answer:
- bond: $427,857
- CD: $242,143
Step-by-step explanation:
We can use the given interest rates and the investment and interest amounts to write an equation for the amount of interest Daran needs to earn.
<h3>Setup</h3>
Let b represent the amount Daran should invest in the bond fund (in thousands). Then 670 -x is the amount he will invest in the CD account. The total interest he wants to earn (in thousands) is ...
0.085(b) +0.015(670 -b) = 40
<h3>Solution</h3>
Eliminating parentheses and collecting terms, we have ...
0.07b +10.05 = 40
0.07b = 29.95
b = 427.857
Daran should invest $427,857 in the bond fund and $242,143 in the CD account.
Answer:
4000 grams
Step-by-step explanation:
Volumes of similar figures are proportional to the cube of their linear dimensions. Areas are proportional to the squares of their linear dimensions.
Given an area ratio, the ratio of linear dimensions will be the square root of it, or the 1/2 power of the ratio of areas. Then the volume ratio will be the cube of the ratio of linear dimensions or ...
volume ratio = ((area ratio)^(1/2))^3 = (area ratio)^(3/2)
Here, the mass of the smaller object will be proportional to its volume, which, in turn, is proportional to the mass of the larger object times the 3/2 power of the area ratio. So, the mass of object A is ...
((28 cm^2)/(40.32 cm^2))^(3/2) × (6912 grams) = 4000 grams
Answer:
D. -5
Step-by-step explanation:
Any integer is also rational and real. -5 is an integer, so meets your criteria.
