Answer:
$2686.27.
Step-by-step explanation:
The formula for the amount of money after compound interest is
where P is the principal, r is the rate, n is the number of times the interest is compounded per year, and t is the number of years. $1500 is the principal amount of money. 6% in decimal form is 0.06 (divided by 100), so the rate is 0.06. The interest is compounded once per year, so n = 1. And it's after 10 years, so t = 10. So now we can substitute:
The complete question is
Which statement is true about the factorization of 30x² + 40xy + 51y²<span>?
A. The factorization of the polynomial is 10(3x2 + 4xy + 5y2).
B. The polynomial can be rewritten as the product of a trinomial and xy.
C. The greatest common factor of the polynomial is 51x2y2.
D. The polynomial is prime, and the greatest common factor of the terms is 1.
we know that
case A) </span>is not right because 10 is not a common factor of the three terms.
case B) is not right because the original polynomial is already a trinomial
case C) is not right because the terms do not contain 51x^2y^2
<span>case D) is right
because
</span><span>Factors of 30 are-----> 1,2,3,5,6,10,15,30
</span>Factors of 40 are-----> 1,2,4,5,8,10,20,40
Factors of 51 are-----> 1,51
<span>so
</span><span>The "Greatest Common Factor" is the largest of the common factors
</span><span>the GFC is 1
therefore
the answer is the option
</span>D. The polynomial is prime, and the greatest common factor of the terms is 1<span>
</span>
I think to solve this problem you would have to divide 276 by 2 and 336 by 2 to get the costs per ticket. Then you would compare the costs and see which ticket costs or charges more.
Answer:
x = 7.5
Step-by-step explanation:
We see that in order to find <em>x</em>, we need to use tangent, which is opposite over adjacent.
Step 1: Set up equation
tan37° = x/10
Step 2: Multiply 10 on both sides
10tan37° = x
Step 3: Evaluate
x = 7.53554
Step 4: Round
x = 7.5
if you do 24 x 4 you get 96 so that mean multiply 3 x 4 too and you get 12 so the answer is he can run 12 miles in 96 minutes
