Answer:
4335.61
Step-by-step explanation:
Using the equation A = P (1 + r/n)^nt
lets fill in the variables,
P (principal) is 3500.00
r (rate) is .04375 - we do this in decimal form
n (number of times interest is doubled) here it is annually, could be monthly or daily too, but we are told annually, so we use 1
t (time) is 5 years
So: 3500(1+.04375/1) ^ 1(5)
pemdas
parenthesis first 1 +.04375/1 = 1.04375
exponents next 1 x 5 = 5
so now we have 3500 (1.04375) ^5
take 1.04375 to the power of 5 (pemdas) then multiplication
= 3500(1.2387465058) or
A = 4335.61
This is the same result as calculating simple interest for 5 years but each year calculating off the new Principal amount that includes interest.
3500 x .04375 = 153.125 or 3653.125 *(year one)
159.82 = 3812.95
166.82 = 3979.77
174.11 = 4153.88
181.73 = 4335.61
Answer:
The interior angles are 70°,65°,80°,155° and 170°
Step-by-step explanation:
step 1
Find the sum of the interior angles of the pentagon
The sum is equal to
S=(n-2)*180°
where
n is the number of sides of polygon
n=5 (pentagon)
substitute
S=(5-2)*180°=540°
step 2
Find the value of x
Sum the given angles and equate to 540
x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°
7x+50=540°
7x=490°
x=70°
step 3
Find all the angles
x=70°
(x-5)=(70-5)=65°
(x+10)=(70+10)=80°
(2x+15)=(2*70+15)=155°
(2x+30)=(2*70+30)=170°
Answer:
if angle dfb and angle cea measure something other than 90degrees, then line we is not equal to line bf. in this case, line and and line cd intersect at a single point.
Answer:
Step-by-step explanation:
Given
See attachment for circles
Required
Ratio of the outer sector to inner sector
The area of a sector is:
For the inner circle
The sector of the inner circle has the following area
For the whole circle
The sector of the outer sector has the following area
So, the ratio of the outer sector to the inner sector is:
Cancel out common factor
Express as fraction
<u>Answer:</u>
Standard form of a line passing through (-2, 4) and having slope of -1/7 is x + 7y = 26
<u>Solution:</u>
Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7
Standard form of line passing through point ( a , b ) and having slope m is given by
(y – b) = m ( x – a) --------(1)
In our case given point is ( -2 , 4 ) and slope is -1/7 that means
a = -2 , b = 4 , m = -(1/7)
On substituting given value of a , b and m is equation (1) we get
=> 7( y - 4 ) = -x – 2
=> 7y + x = -2 + 28
=> x + 7y = 26
Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26
