Answer:
no solution
Step-by-step explanation:
Give the 2 numbers variables,say x and y.
then they multiply to -225.this means xy=-225
they add to 16.this means x+y=16
y=16-x
substitute y=16-x onto xy=-225 to get x(16-x)=-225
then expand to get 16x-x^2=-225
rearrange to get a quadratic: x^2-16x-225=0
x=(16+(16^2-4*-225)^0.5))/2 or
x=(16-(16^2-4*-225)^0.5))/2
Answer:
a = 327 m²
Step-by-step explanation:
Area of bed
r = 22/2 = 11
a = 3.14(11²)
a = 379.94
Area of bed and sidewalk
r = 11 + 4 = 15
a = 3.14(15²)
a = 706.5
Area of sidewalk
a = 706.5 - 379.94
a = 327 m² (rounded to whole number
Answer:
Density is mass÷volume
Step-by-step explanation:
Answer:
$9.638.3; 21.67 years
Step-by-step explanation:
P=principal=$7,000
r=rate=6.5%=0.065
n=2(semiannually)
t=5 years
A=p(1+r/n)^nt
=$7,000(1+0.065/2)^2×5
=$7,000(1+0.0325)^10
=$7,000(1.0325)^10
=$7,000(1.3769)
=$9,638.3
How long will it take for the investment to quadruple
That means 4 times
4×$7000=$28,000
A=p(1+r/n)^nt
$28,000=$7,000(1+0.065/2)^2t
$28,000=$7,000(1+0.0325)^2t
$28,000=$7,000(1.0325)^2t
Divide both sides by $7,000
4=(1.0325)^2t
Take the log10 of both sides
log4=2t × log1.0325
0.60206=2t×0.01389
0.60206=t×2×0.01389
0.60206=0.02778t
t=0.60206/0.02778
t=21.67 years
