Answer:
37,371 multiplied by 206 is 7,698,426
Step-by-step explanation:
Calculator.
Answer:
- bonds: $18,000
- stocks: $6,000
Step-by-step explanation:
You have a total of $24,000 invested in stocks and bonds in the ratio 1 : 3. You want to know the amount invested in each category.
<h3>Ratio</h3>
Recognizing that the total number of ratio units is 1+3 = 4, and that total represents $24,000, we see that each ratio unit represents $24,000/4 = $6,000.
Multiplying the ratio by $6,000, we see the investment amounts are ...
stocks : bonds = 1 : 3 = $6,000 : $18,000
$6,000 is invested in stocks; $18,000 is invested in bonds.
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian
Hope it helped!