Answer: (6) $172.50 (7) $74.80 (8) $106.65 (9) $141.20
(10) $119.00 (11) 12.5% markup (12) 15% markdown
<u>Step-by-step explanation:</u>
Use the following formula <em>(+ for markup and - for markdown/discount)</em>
Base Price ± (Base Price × markup/markdown) = Adjusted Price
6. <em>Markup so add (+)</em>
150 + (150 × 0.15) = x
150 + 22.5 = x
172.50 = x
7. <em>Markdown so subtract (-)</em>
85 - (85 × 0.12) = x
85 - 10.2 = x
74.80 = x
8. <em>Discount so subtract (-)</em>
135 - (135 × 0.21) = x
135 - 28.35 = x
106.65 = x
9. <em>Markup so add (+)</em>
x + (x × 0.25) = 176.50
x + 0.25x = 176.50
1.25x = 176.50
x = 141.20
10. <em>Markdown so subtract (-)</em>
x - (x × 0.15) = 101.15
x - 0.15x = 101.15
0.85x = 101.15
x = 119.00
11. <em>The adjusted price is more than the base price so add (+)</em>
278 + (278 × x) = 312.75
278 + 278x = 312.75
278x = 34.75
x = 0.125
x = 12.5% markup
12. <em>The adjusted price is less than the base price so subtract (-)</em>
157 - (157 × x) = 133.45
157 - 157x = 133.45
-157x = -23.55
x = 0.15
x = 15% markdown
Answer:
x = 73.4°
Step-by-step explanation:
sin x° = 23/24
sin x° = 0.9583
x = 73.4°
Answer:
15920 is the amount reserving seats but there is multiple answers
Step-by-step explanation:
Answer:
D. 9 cm
Step-by-step explanation:
The radius of the sphere can be found by solving the volume equation for the radius.
V = 4/3πr³
3V/(4π) = r³
r = ∛(3V/(4π)) = ∛(3×3052/(4×π)) ≈ ∛728.611
r ≈ 9.0 cm
The radius of the sphere is about 9 cm.
Answer:
The exponential growth model is given by this general expression:
And the exponential model decay model is given by:
Where a the initial amount r the growth factor of rate anf t the time.
The reason with we need to add 1+r in the base of the model is because each period of time 
we have an increase of the initial amount by a factor of (1+r) so after n periods we will have (1+r)^n times the initial amount.
Step-by-step explanation:
In general an exponential model is given by this formula:
Where:
a = the constant, b = the base and x x the exponent.
The exponential growth model is given by this general expression:
And the exponential model decay model is given by:
Where a the initial amount r the growth factor of rate anf t the time.
The reason with we need to add 1+r in the base of the model is because each period of time we have an increase of the initial amount by a factor of (1+r) so after n periods we will have (1+r)^n times the initial amount.
