Answer:
A) The annual multiplier was 1.0339; the annual increase was 0.0339 of the value.
B) 3.39% per year
C) $182,000
Step-by-step explanation:
A) Let's let t represent years since 1987. Then we can fill in the numbers and solve for r.
165000 = 100000(1 +r)^15
1.65^(1/15) = 1 +r . . . . . divide by 100,000; take the 15th root
1.03394855265 -1 = r ≈ 0.0339
The value was multiplied by about 1.0339 each year.
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B) The value increased by about 3.39% per year.
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C) S = $100,000(1.03394855265)^18 ≈ $182,000
Answer:
112 students
Step-by-step explanation:
Let T be the total number of students in the band.
From the question,
We were told that 37.5% of the total owns their individual instruments and this amount to 42 students
The total number of students can calculated for as follows:
37.5% x T = 42
37.5/100 x T = 42
Cross multiply to express in linear form
37.5 x T = 100 x 42
Divide both side by 37.5
T = (100 x 42) /37.5
T = 112
Therefore, there are 112 students in the band
Answer:
320 in
Step-by-step explanation:
Factors of 4:
<span>1 and 4 </span>
<span>2 and 2 </span>
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</span>
Answer:
MP =8
Step-by-step explanation:
QR = 1/2 MP
76 -8x = 1/2 (89 - 9x) Multiply both sides by 2
152 - 16x = 89 - 9x Subtract 89 from both sides
152-89 - 16x = - 9x Add 16x to both sides.
63 - 16x +16x = 16x - 9x
63 =7x Divide by 7
x = 63/7
x = 9
MP = 89 - 9*9
MP = 8