Answer:
Step-by-step explanation:
9) Since Alicia Martin's savings earns 6% quarterly for two quarters then:
⇒ Amount (A), Principle (P), rate (r) in decimal form, number of compoundings (n) a year and t, in year or its fractions.
10) Aubrey Daniel's case:
11) As for Angelo, similarly to Alicia.
12) Simpson's. For semiannual n=2
13) Jana Lacey amount:
Answer:
x=-2
Step-by-step explanation:
4+8x=-12
-4 -4
8x = -16
/8 /8
x = -2
Answer:
(-12,11)
Step-by-step explanation:
x + 2y = 10
3x + 4y = 8
(-2)x + (-2)2y = (-2)10
3x + 4y = 8
-2x - 4y = -20
3x + 4y = 8
Add to eliminate:
x = -12
Substitute x to solve y:
x + 2y = 10
(-12) + 2y = 10
-12 + 2y = 10
2y = 10 + 12
2y = 22
y = 22 ÷ 2
y = 11
Check:
x + 2y = 10
(-12) + 2(11) = 10
-12 + 22 = 10
10 = 10
Time Distance Distance / Time
2hrs 90 miles 90 miles / 2 hrs = 45 miles / hr
3hrs 135 miles 135 miles / 3 hrs = 45 miles / hr
5hrs 225 miles 225 miles / 5 hrs = 45 miles / hr
6hrs 270 miles 270 miles / 6 hrs = 45 miles / hr
Constant of proportionality is 45 miles / hr. This is the same for the four values. The unit rate is also 45 miles / hr.
Let us assume the Distance , d is directly proportional to Time, t
d α t
d = kt
Constant of proportionality is k which is D/T
d = 45t
All the steps were correct except the final statement. The
mistake was in Line 6.
Line 6 triangle ABC is congruent to triangle EFD by
SAS.
<span>This does not follow. The SAS postulate states
that if two sides and the included angle of one triangle is congruent to two sides
and the included angle of another triangle. The student only proved that one side
of the triangle (AC) is congruent to the side of another triangle (EF) .</span>
