Skippy should invest $ 7500 in account offering 4 % interest and $ 2500 in account offering 8 % simple interest
<em><u>Solution:</u></em>
Given that Skippy has a total of $10,000 to split between two investments
One account offers 4% simple interest, and the other account offers 8% simple interest
Total interest earned = 500
Number of years = 1
Let the principal with rate of interest 4 % is x
So the principal for rate of interest 8 % is 10000 - x
Total interest earned = simple interest for 4 % interest + simple interest for 8 % interest
Simple interest is given as:
Where "p" is the principal and "r" is the rate of interest and "n" is the number of years
Therefore,
Therefore skippy should invest $ 7500 in account offering 4 % interest
And skippy should invest (10000 - x) = (10000 - 7500) = $ 2500 in account offering 8 % interest
Answer:
Step-by-step explanation:
Given that m < 1 = 5x, and m <2 = 9x, and that they are complementary angles with a sum of 90°:
We can establish the following formula:
m < 1 + m < 2 = 90°
Substitute the given values into the formula:
5x + 9x = 90°
Add like terms:
14x = 90°
Divide both sides by 14:
14x / 14 = 90° / 14
x = 6.42857
Substitute the value of x into m < 1:
m < 1 = 5x = 5(6.42857)
m < 1 = 32.1°
To verify whether we have the correct value for x, let’s substitute its value into the original equation:
m < 1 + m < 2 = 90°
5x + 9x = 90°
32.1 + 9(6.42857) = 90°
32.1 + 57.9 = 90°
90° = 90° (True statement. Therefore, we derived the correct value for x).
Therefore, the correct answer is: m < 1 = 32.1°
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To find the area of the figure,we nees to first find the length of AC and BC by sine formula:
The length of AC:
24/sin90°=AC/sin45°
AC=24/sin90° x sin45°
AC=16.9705..
AC≈16.97ft
<BAC=180°-90°-45°=45°
As there are two same angles,it is an isosceles triangle,thus BC=AC≈16.97ft
The area:
16.97×16.97/2
=143.99...
≈144 sq.ft
Therefore, the answer is 144sq.ft
Hope it helps!