Answer:
1)B:63°
2)A:59°
Step-by-step explanation:
1.ABC is a right triangle at C then angle ACB=90°(right angle)
Angle CAB=27°(see the given)
measure of the angles in any triangle is 180°
then angle CBA=
measure of all the angles - (measure ACB+measure CAB)
=180°-(90°+27°)
=63°
2. Same explanation of angle B:
in the right triangle DEF: angle DEF=90°
angle D=31°(given)
Then measure of angle A=180°-(angle E + angle D)
=180-(90+31)=59°
The value of X in this question is 46
Answer:
Interest earned= $200
Step-by-step explanation:
Giving the following information:
Initial investment= $20,000
Interest rate= 3%
Inflation rate= 2%
First, we need to calculate the real interest rate. <u>The inflation rate decreases the value of money through time. We need to deduct from the interest rate, the inflation rate.</u>
Real interest rate= 0.03 - 0.02= 0.01
<u>Now, we can calculate the interest earned in year 1:</u>
Interest earned= PV*(1+i)^n - PV
Interest earned= 20,000*(1.01^1) - 20,000
Interest earned= $200
9514 1404 393
Answer:
x = -3
Step-by-step explanation:
The solution to the equation ...
f(x) = g(x)
is the x-value where the functions have equal values. That is the x-coordinate of the point where the graphs intersect. The intersection point is (-3, 5), so the solution to the equation is x = -3.