Answer:
Principal Invested in Municipal Bonds is $16,000
Principal Invested in Corporate Bonds is $15,000
Step-by-step explanation:
If;
Principal Invested in municipal bonds = a
Principal Invested in corporate bonds = b
then we have;
a + b = $31,000
--------------------------------Equation 1
0.075a + 0.085b = $2,475 ---------------Equation 2
From equation 1 we have;
a = 31,000 - b
By putting the values of a in Equation 2 we get;
0.075 (31,000 - b) + 0.085b = 2,475
2,325 - 0.075b + 0.085b = 2,475
0.01b = 150
b = $15,000
By putting the values of b in equation 1 we get;
a = $16,000
Answer:
20km
Step-by-step explanation:
we need to find c, which is the hypotenuse of the right triangle.
we know the lengths of the legs, which are given as 16km and 12km
you might notice that 16km and 12km can both be divided by 4, which will then give is 4 and 3.
3,4,5 is a pythagorean triple-(the sums of the squares of 3 and 4 is equal to the square of 5).
The triple can be proved:
3²+4²=5²
9+16=25
25=25
that means the lengths of the triangle is a multiple of the triple 3, 4, and 5
so that means that c is 5*something
since 12 and 16 are 3*4 and 4*4 respectively, that means that c must be 5*4=20km
Hope this helps!
Answer:
5%
Step-by-step explanation:
There are 60 beads in total,
therefore 3/60 multiplied by 100 equals 5%.
5% of the beads are blue which implies 95% are white.
A cheerful teen willing to help,
who listens to "ROAR,"
stay salty,
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