First you must find what 9.5 percent of 78 is. To do so, put 9.5 percent as a decimal (.095). Next, take this (.095) decimal and multiply it by 78 (this gives you 9.5 percent of 78). You will end up with the number 7.41. Since 78 is being increased by 9.5%, add 7.41 to 78 to get the final answer of 85.41. Therefore, when 78 is increased by 9.5%, you get 85.41 as a result.
Answer:
$16
Step-by-step explanation:
Simple interest is based on the principal amount of a loan or deposit, whereas compound interest is based on the principal amount and the interest that accumulates on it in every period.
Simple Interest = P x r x n
where P = Principal amount, r = Annual interest rate, n = Term of loan, in years
2% = 2 ÷ 100 = 0.02 so r = 0.02
Therefore,
Simple Interest = 400 x 0.02 x 2 = 16
So she will be paid $16 in the first two years.
Answer:
Step-by-step explanation:
Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).
y = a(x -h)^2 +k
has leading coefficient "a" and vertex (h, k).
__
<u>f(x) = 1/3(x +5)^2 +7</u>
vertex: (-5, 7), opens downward
The vertex is above the x-axis, so there are two real roots.
__
<u>f(x) = -5(x -3)^2</u>
vertex: (3, 0), opens downward
The vertex is on the x-axis, so there is one real root.
Answer:
The slope remains a constant 
as it is parallel.
Explanation:
1. Line Q is defined as a slope of 
; i.e. 
2. Line R is defined to be parallel of Line Q.
3. Line Q is linear and has no domain restrictions.
The definition of being parallel requires the same slope.
