After 5 years the amount in the account will be $ 487.
<u>Step-by-step explanation:</u>
Compound Interest, A = 
Where A denotes the investment's future value
P is the Principal amount = $ 400.00
r is the rate of interest annually in decimals = 0.04
n is the no. of times the interest is compounded per unit time, t = 1
t - the number of years or days or months the amount is invested = 5 years
Now we have to plug in those values in the above formula as,
A = 
= 400(1+ 0.04)⁵
= 400(1.04)⁵
= 486.66 ≈ $ 487
Any options? Maybe a picture?
Answer: 7/24
Step-by-step explanation:
Five-eighths means 5/8
One-third means 1/3
The difference between 5/8 and 1/3 is
5/8 - 1/3 = 7/24
Therefore, the smallest number of equally sized pieces each fraction bar can be broken into 7/24
D.
first, eliminate B and C, because the highest degree in these two equation is 3, a 3-degree equation has 3 roots, not 4.
between A and D, A has the roots 0, 0, 7, and -7, all real roots.
D can be factored into (x²-49)(x²+1)=0
x²=49 or x²=-1
x=7 or -7, x=i or -i two real roots, two unreal roots
for the second equation:
first, find the first term by using the formula:
the nth term=the first term + (n-1)*difference
you are given the 13th term and d=3.7
a13=a1+(13-1)d
1.9=a1+12*3.7
a1=-42.5
the sum of the first 13 terms is S=(a1+a13)*(13/2)=(-42.5+1.9)*6.5=-263.9
Answer:
Check explanations for answer
Step-by-step explanation:
Here, we want to find out how Gerard came to the conclusion
For him to arrive at this conclusion, then we should consider the lengths given if they form a right triangle and are suitable for the building frame
From the lengths that we have
If we square the longest length, then the sum of the squares of the two other lengths should be the same as it is
This is in obedience to Pythagoras’ theorem
However, this does not hold
√(150)^2 is not equal to 8^2 + (√(95))^2)
and so since this does not work, then the triangle is not right-angled and cannot be use as the frame
