Answer:
third choice
Step-by-step explanation:
His final salary must be 100% so to find it,
100%/70%×$54500
=$77857.14≈$77857
Answer:
19/24
Step-by-step explanation:
To write
3
8
as a fraction with a common denominator, multiply by
3
3
.
3
8
⋅
3
3
+
5
12
To write
5
12
as a fraction with a common denominator, multiply by
2
2
.
3
8
⋅
3
3
+
5
12
⋅
2
2
Write each expression with a common denominator of
24
, by multiplying each by an appropriate factor of
1
.
Tap for fewer steps...
Multiply
3
8
and
3
3
.
3
⋅
3
8
⋅
3
+
5
12
⋅
2
2
Multiply
8
by
3
.
3
⋅
3
24
+
5
12
⋅
2
2
Multiply
5
12
and
2
2
.
3
⋅
3
24
+
5
⋅
2
12
⋅
2
Multiply
12
by
2
.
3
⋅
3
24
+
5
⋅
2
24
Combine the numerators over the common denominator.
3
⋅
3
+
5
⋅
2
24
Simplify the numerator.
Tap for fewer steps...
Multiply
3
by
3
.
9
+
5
⋅
2
24
Multiply
5
by
2
.
9
+
10
24
Add
9
and
10
.
19
24
The result can be shown in multiple forms.
Exact Form:
19
24
Decimal Form:
0.791
¯
6
The polygon has 11 sides.
The measure each interior angle is 147.272°.
Solution:
The given shape is a regular polygon.
(a) Number of sides of the polygon = 11
The polygon has 11 sides.
(b) To find the measure of each interior angle:
Each interior angle of a regular polygon




The measure each interior angle is 147.272°.
The equation for exponential decay is given as y = a(1 - r)^x.
<u>Explanation:</u>
The formula for original exponential decay is y = ab^x.
The growth rate (r) is determined as b = 1 + r.
The decay rate (r) is determined as b = 1 - r.
y = ab^x (Where b = 1 - r)
y = a(1-r)^x
a represents the initial value
r represents growth or decay rate
x represents the number of time intervals that have passed.
<em>For example</em>
The population of Home Town is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%.
The equation for decay factor y = 35000(1 - 0.024)^x
y = 35000(0.976). (where x = 1)