Answer:
$ 2,600 was invested at 4% and $ 3,600 was invested at 9%.
Step-by-step explanation:
Given that in investing $ 6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest, and the rest was invested in a riskier mini-mall development plan paying 9% annual simple interest, and the combined interest earned for the first year was $ 428, to determine how much money was invested at each rate, the following calculation must be performed:
3000 x 0.04 + 3200 x 0.09 = 408
2500 x 0.04 + 3700 x 0.09 = 433
2600 x 0.04 + 3600 x 0.09 = 428
Therefore, $ 2,600 was invested at 4% and $ 3,600 was invested at 9%.
Answer:
2;4;3
Step-by-step explanation:
y=2x²+4x+3
Simplify brackets
351 = y * 8 + 7
Regroup terms
351 = 8y + 7
Subtract 7 from both sides
351 - 7 = 8y
Simplify 351 - 7 to 344
344 = 8y
Divide both sides by 8
344/8 = y
Simplify 344/8 to 43
43 = y
Switch sides
<u>y = 43</u>
Answer: 43.3 square inches
Step-by-step explanation:
Formula for Triangle: A = bh/2
Key:
* = multiple
/ = divide
Fill in the formula with what you know:
A = bh/2
A = 5 * 4.33 / 2
A= 21.65 / 2 = 10.825 square inches
However, 10.825 is not our answer. 10.825 is the area of only one triangle. Since all four of the triangles are congruent (or the same) we can:
Add: 10.825 + 10.825 + 10.825 + 10.825 = 43.3 square inches
OR
Multiple: 10.825 * 4 = 43.3 square inches
Thus, the surface area of the pyramid is 43.3 square inches.
Answer: The length of the base of the triangle is 16 inches.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula
Area of a triangle (A) = base x height x 1/2
Replacing with the values given:
42 = b (5 1/4) 1/2
Solving for b (lenght of the base)
42 / (5 1/4) 1/2 = b
16 in = b
The length of the base of the triangle is 16 inches.
Feel free to ask for more if needed or if you did not understand something.
