Answer:
14800
Step-by-step explanation:
The formula for simple interest (I) in terms of principal (P), rate (R) and time (T) is given as follows;
I = P x R x T / 100 ------------- (i)
Given:
Principal (P) = Initial amount being put into the account = 10000
Rate (R) = The interest rate being offered by the account manager = 4%
Time (T) = Time taken = 12 years
Substitute these values into equation (i) as follows:
I = 10000 x 4 x 12 / 100
I = 4800
Therefore, the initial amount will yield an interest of 4800 for those 12 years.
The total amount the employee will thus have in 12 years will be the sum of the initial amount and the interest. i.e
Amount = P + I
Amount = 10000 + 4800
Amount = 14800
Answer:
the pennies does not conform to the US mints specification
Step-by-step explanation:
z = (variate -mean)/ standard deviation
z= 2.5 - 2.4991 / 0.01648 = 0.0546
we are going to check the value of z in the normal distribution table, which is the table bounded by z.
checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)
we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim
since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification
the claim state a 5% significance level whereas the calculated significance level is 47.81%. therefore, the claim should be rejected
The graph that matches the given equation is y≥x-1 is Graph A.
Option: C.
<u>Step-by-step explanation:</u>
The given equation y≥x-1 is a linear inequality equation.
Graphing Linear Inequalities differs from graphing regular linear equations. That is it has certain rules to be followed to draw the graph.
- First, rearrange the equation as y in the left and other terms in the opposite side.
- Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted line.
- Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal is present then the space below the line has to be shaded.
For the given equation y≥x-1,
The line will be solid passing through (0,-1) and (3,2) since it has y≥. Also, the region above the line is shaded.
So the graph A is the graph that matches the equation y≥x-1.
62 because it's 62.465 and The nearest 10th will be 62
