Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
Given:
To find:
The correct function.
Explanation:
Let us consider the function given in option D.
Differentiating with respect to x we get,
Substituting x = 2 in the function f(x), we get
Therefore, the given conditions are satisfied.
So, the function is,
Final answer: Option D
Answer: x = 7
`Step-by-step explanation:
Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:
9 cm 72 cm
----------- = -----------
3x - 20 56 cm
Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²
Dividing both sides by 72 cm, we get:
3x - 20 = (504 cm²) / (72 cm) = 7
Then 3x - 20 = 7, and 3x = 27. Then x must be 9.
Answer:
The percent decrease was 15%
Step-by-step explanation:
In order to find this, use the percent change equation.
(New - Old)/(Old) * 100 = % Change
Now input 149.42 for the New price and 175.80 for the Old price.
(149.42 - 175.80)/(175.80) * 100 = % Change
-26.38/175.80 * 100 = % Change
-.15 * 100 = % Change
-15 = % Change
