Using algebra...
n and n+2 are the integers
n*(n+2)=288
n^2+2n=288
n^2+2n-288=0
288=2*2*2*2*2*3*3=(2*2*2*2)*(2*3*3)=16*18 and 18-16=2
factor
(n+18)(n-16)=0
n+18=0
n=-18
n+2=-16
this is one solution
n-16=0
n=16
n+2=18
this is another solution
as you can see, it's just a matter of factoring
288
using arithmetic...
√288=16.97≈17
16 and 18 are the integers (as well as -16 and -18)
Answer:
d=20/3 or 6.6 repeating
Step-by-step explanation:
Let's solve your equation step-by-step.
12−
3
4
(d+16)=−5
Step 1: Simplify both sides of the equation.
12−
3
4
(d+16)=−5
12+
−3
4
d+−12=−5(Distribute)
(
−3
4
d)+(12+−12)=−5(Combine Like Terms)
−3
4
d=−5
−3
4
d=−5Step 2: Multiply both sides by 4/(-3).
(
4
−3
)*(
−3
4
d)=(
4
−3
)*(−5)
d=
20
3
Answer:
d=
20
3
Your answer, my friend, is -0.95.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first establish the simple interest formula which we will require to solve this problem as displayed below:
Simple Interest = Principal × Rate of Interest × No. of Time Periods
I = PRN
Now let's substitute the values from the problem into this formula and solve as displayed below:
I = $15
P = $150
R = ?
N = 2 years
I = PRN
15 = 150 × R / 100 × 2
R / 100 = 15 / ( 150 × 2 )
R / 100 = 15 / 300
R = 5 / 100 × 100
R = 5%
ANSWER:
The simple annual interest rate for the loan is 5%. Therefore, the answer is:
B ) 5.0%
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