Answer:
Step-by-step explanation:
33/3 = 11
36/3 =13
11 :13
There is a higher chance that the dad is right because he is betting on a pretty much 50/50 chance while the mom is betting on a 25% chance
Compound Interest is the interest that is <em>compounded on a particular sum of money or investment over a given period of time.</em>
- The interest for the first year is $1,576.25
- The sum of money after adding the original to the interest is $11,576.25
- The interest on the new total is $13,400.96
- Step 1: Find the interest for the first year.
The formula is given as:
A = P(1 + r/n)^nt
P = Principal = $10,000
R = Rate = 5%
n = 1
t = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 10,000(1 + 0.05/1)^(1)(3)
A = 10,000.00(1 + 0.05)^(3)
A = $11,576.25
I = A - P
Hence:
I = $11,576.25 - $10,000.00
I (interest) = $1,576.25
-
Step 2: Add the interest to the original amount.
$10,000 + $1,576.25
= $11,576.25
-
Step 3: Determine interest in the new total
The formula is given as:
A = P(1 + r/n)^nt
P = Principal = $11,576.25
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 11,576.25(1 + 0.05/1)^(1)(3)
A = 11,576.25(1 + 0.05)^(3)
A = $13,400.96
Therefore,
- The interest for the first year is $1,576.25
- The sum of money after adding the original to the interest is $11,576.25
- The interest on the new total is $13,400.96
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Answer:
The answer is below
Step-by-step explanation:
The complete question is given in the image attached below
m∠1 + m∠2 = 180° (sum of angles on a straight line)
m∠1 + 98 = 180
m∠1 = 180 - 98
m∠1 = 82°
m∠2 + m∠3 + m∠7 = 180° (sum of angles in a triangle)
98 + 23 + m∠7 = 180
m∠7 + 121 = 180
m∠7 = 180 - 121
m∠7 = 59°
m∠4 = m∠7 (alternate angles)
m∠4 = 59°
m∠6 + m∠7 + m∠8 = 180° (sum of angles on a straight line)
m∠6 + 59 + 70 = 180
m∠6 + 129 = 180
m∠6 = 180 - 129
m∠6 = 51°
m∠4 + m∠8 + m∠9 = 180° (sum of angles in a triangle)
59 + 70 + m∠9 = 180
m∠9 + 129 = 180
m∠9 = 180 - 129
m∠9 = 51°
m∠4 + m∠5 = 180° (sum of angles on a straight line)
m∠5 + 59 = 180
m∠5 = 180 - 59
m∠5 = 121°
m∠10 + m∠9 = 180° (sum of angles on a straight line)
m∠10 + 51 = 180
m∠10 = 180 - 51
m∠10 = 129°
