x is equal to - 2/3 after collecting like terms
Twice 2 to the 30-th power is
2*2³⁰ = 2¹*2³⁰ = 2³¹
For very large numbers, it is the usual practice to use scientific notation.
From the calculator, obtain
2³¹ = 2.1475 x 10⁹
Answer: 2.1475 x 10⁹
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.
