Answer:
$2000 is invested at 8%
$2000 is invested at 14%
Step-by-step explanation:
A total of $4000 is invested part at 8% and the remainder at 14%
Annual interest is $440.
Simple interest formula;
I = P × R × T
Where I is the interest, P is the principal, R is the rate and T is the time.
P = $4000
R = 8% and 14%
T = 1 year
I = $440
Let's say $a is invested at 8% and;
$b is invested at 14%
Then,
($a × 
× 1 ) + ($b × 
× 1) = $440
and
$a + $b = $4000
This forms a simultaneous equation;
0.08a + 0.14b = 440 ... (i)
a + b = 4000 ... (ii)
Multiplying (i) by 1 and (ii) by 0.08 we get;
0.08a + 0.14b = 440 ... (i)
0.08a + 0.08b = 320 ... (ii)
Subtracting (i) - (ii) we get;
0 + 0.06b = 120
0.06b = 120
b = 120 ÷ 0.06 = 2000
So amount invested at 14% ($b) = $2000 and,
The amount invested at 8% ($a) = $4000 - $2000 = $2000
Hope this helps! i hope you’re having a good day
Right triangle means we can use a^2+b^2=c^2
isosceles means 2 sides are equal legnths
the hypotenuse is normally the longest side so the equal sides are the other sides so therefore
a=b
therefor
(a^2)+(a^2)=c^2
2(a^2)=16^2
2(a^2)=256
divde both sides by 2
a^2=8
the side legnth of the other 2 sides is the square root of 8 which is aprox 2.8284271247452
but we only want the tenth so we look at the hundreths as well
2.82
round to the nearest tenth
2.8 cm is the answer of the legnths
For this case we must find the value of the variable "x" of the following equation:
We rewrite the equation as:
We take the logarithmic base 10 from both sides of the equation to remove the variable from the exponent.
The logarithmic base 10 of 10 is 1.
ANswer:
Answer:
c. f(n) = (n+1)^2 + 2
Step-by-step explanation:
It is c. because...
f(n) = (1+1)^2 + 2
2^2 + 2
4 + 2 = 6 (first term)
f(n) = (2+1)^2 + 2
3^2 + 2
9 + 2 = 11 (second term)
f(n) = (3+1)^2 + 2
4^2 + 2
16 + 2 = 18 (third term)
