Answer:
$1,519
Step-by-step explanation:
Given that :
Balance = principal = $520
Time (t) = 6 years
Annual. Interest rate (r) = 18% = 0.18
Using the compound interest formula:
A = P(1 + r/n)^nt
n = number of times interest is applied per period ; A = final amount
Since interest is compounded monthly, n = 12
A = 520(1 + 0.18/12)^(12 * 6)
A = 520(1 + 0.015)^72
A = 520(1.015)^72
A = 520(2.9211579)
A = 1519.0021
Hence, final amount = $1519
9514 1404 393
Answer:
28 square units
Step-by-step explanation:
The figure can be decomposed several ways. Maybe easiest to see is as a 8×4 rectangle with a 2×4 right triangle cut from the corner.
The area of the rectangle is ...
A = LW = (8)(4) = 32
The area of the missing triangle is ...
A = 1/2bh = 1/2(2)(4) = 4
Then the area of the shaded figure is ...
32 - 4 = 28 . . . square units
_____
<em>Alternate solution</em>
If you divide the figure with a horizontal line across the middle, it becomes a 4×4 square and a trapezoid with bases 2 and 4 and height 4. The shaded area is the sum of these areas.
The area of a trapezoid is ...
A = 1/2(b1 +b2)h
A = (1/2)(2 +4)(4) = 12
The area of the square is ...
A = s² = 4² = 16
Then the total area is ...
12 +16 = 28 . . . square units
The distribution of means is the correct comparison distribution when
Answer: The distribution of means is the correct comparison distribution when there is more than one person in a sample.
The distribution of the sample means is also called the sampling distribution of mean. It is most appropriate when we take a random sample of size n from the population of size N. The distribution of the sample means will follow normal distribution with mean =
and standard deviation =
Answer:
18 people are in his class.
Step-by-step explanation:
27/8 / 3/16
27/8*16/3
Answer:
UV corresponds to RS.
corresponds to
Step-by-step explanation:
Given
and 
Transformation: Rigid
Required
Determine the true options
When a rigid transformation occurs from SRQ to VUT, the following are the corresponding sides:
SR to VU, SQ to VT, RQ to UT
And the corresponding angles are:
<S to <V, <R to <U and <Q to <T
From the corresponding sides above, we have:
SR to VU
Rewrite:
RS to UV
Hence: (c) is correct
From the corresponding angles above, we have:
to 
Hence:
(b) is correct