Answer:
Ending balance after 2 years=$4,370.98
Step-by-step explanation:
To calculate her ending balance after two years, we need to get the express the total amount as follows;
A=P(1+r/n)^nt
where;
A=Total future value of the initial investment
P=Initial value of the investment
r=Annual interest rate
n=number times the interest rate is compounded annually
t=number of years of the investment
In our case;
P=$4,111
r=3.07%=3.07/100=0.0307
n=12
t=2 years
Replacing;
A=4,111(1+0.0307/12)^(12×2)
A=4,111(1.0026)^24
A=4,370.98
Ending balance after 2 years=$4,370.98
The value of x is 7 and the lengths of the sides are 16, 11 and 8
<h3>How to determine the values of x and each side?</h3>
The complete question is added as an attachment
The perimeter is calculated as:
P = 3x - 5 + 2x-3 + 15 - x
Evaluate
P = 4x + 7
The perimeter is 35.
So, we have
4x + 7 = 35
This gives
4x = 28
Divide by 4
x = 7
Substitute x = 7 in 3x - 5, 2x-3 and 15 - x
3x - 5 = 3* 7 - 5 =16
2x-3 = 2* 7 - 3 = 11
15 - x= 15 - 7 = 8
Hence, the value of x is 7 and the lengths of the sides are 16, 11 and 8
Read more about perimeter at:
brainly.com/question/24571594
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Answer:
S22 for the arithmetic sequence is:
First option: 15.4
Step-by-step explanation:
a12=2.4
d=3.4
S22=?
Sn=(a1+an)n/2
n=22
S22=(a1+a22)22/2
S22=(a1+a22)11
ak=aj+(k-j)d
a12=a1+(12-1)d
2.4=a1+11(3.4)
2.4=a1+37.4
Solving for a1: Subtracting 37.4 both sides of the equation:
2.4-37.4=a1+37.4-37.4
Subtracting:
-35=a1
a1=-35
a22=a12+(22-12)d
a22=2.4+10(3.4)
a22=2.4+34
a22=36.4
S22=(a1+a22)11
S22=(-35+36.4)11
S22=(1.4)11
S22=15.4
