The key to solving this problem lies in representing the unknowns properly.
Let the first angle be a. Then the second angle, b, is a+20. The third angle is (a+20)+8. Now all of the measurements of angle are in terms of a. Fact: the sum of all the angles of a triangle is 180 degrees.
Thus, a + a+20 + a+20+8 = 180, or:
3a + 48 = 180.
Solve for a by subtracting 48 from both sides: 3a = 132, or a = 44.
The first angle is a = 44 degrees.
The second angle is a+20 degrees, or 64 degrees.
The third angle is a+20+8 degrees, or 72 degrees.
We must check to ensure that these 3 angles do add up to 180 degrees:
44+64+72 = 180
Answer:
<em>To the nearest dollar, Logan would have $1 in his account more than Ruby</em>
Step-by-step explanation:
<u>Compound Interest</u>
It occurs when the interest is reinvested rather than paying it out.
Interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Ruby invested P=$850 at r=2%=0.02 compounded quarterly. There are 4 quarts in a year, thus n=4. The investment lasted for t=17 years.
The final amount Ruby has is:
A=850*1.40376
A=$1,193.19
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Logan invested P=$850 at r=2%=0.02 compounded monthly. There are 12 months in a year, thus n=12. The investment lasted for t=17 years.
The final amount Logan has is:
A=850*1,40455
A=$1,193.87
The difference is $0.67.
To the nearest dollar, Logan would have $1 in his account more than Ruby
Answer:
129,000
Step-by-step explanation:
Make improper fractions.
33/5 - 43/10
Find a common denominator, in this case it is 10.
66/10 - 43/10 = 23/10
This can be simplified to 2 3/10
Hope this helps!
Answer:
Yes it is correct
Step-by-step explanation: