We are told that the principle is the same for both investments so we can say:
315=P(r+4)/100 and 175=Pr/100 solving both for P you have:
P=31500/(r+4) and P=17500/r since P=P:
17500/r=31500/(r+4)
175(r+4)=315r
175r+700=315r
-140r+700=0
-140r=-700
r=5
So the rates are 5% and (5+4)=9%
check...
P(9/100)=315 and P(5/100)=175
P=31500/9 and P=17500/5
P=157500/45 and P=157500/45
So P=P
note: P=$3500
3500(9/100)=$315
3500(5/100)=$175
Step-by-step explanation:
13.56 is the square root of 184
Answer:
122 degrees
Step-by-step explanation:
Find the diagram attached. From the diagram;
<DEG + <GEF = <DEF
If the measure of angle GEF is thirteen less than five times measure of angle DEG, this is expressed as;
<GEF = 5<DEG - 13
Substitute
<DEG + <GEF = <DEF
<DEG + 5DEG - 13 = <DEF
6<DEG - 13 = <DEF
6<DEG - 13 = 149
6<DEG = 149 + 13
6<DEG = 162
<DEG = 27
Since <GEF = 5<DEG - 13
<GEF = 5(27) - 13
<GEF = 135-13
<GEF = 122 degrees
Hence the measure of angle GEF is 122degrees
1.) So 1/5 of a relay, or r, is 3/4 of a mile.
1/5r = 3/4
Multiply 5 on both sides of the equation.
r = 15/4
The relay was 15/4 of a mile or 3 3/4 of a mile.
2.) No, it is not because the sum of the digits are not divisible by 3.
Hope this helps! :)