Myranda received a movie gift card for $100 to her
1 answer:
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x ---> represents the number of matinee tickets she could purchase
y ---> represents the number of evening tickets she could purchase
we know that
The number of matinee tickets (x) multiplied by $7.50 each plus the number of evening tickets (y) multiplied by $12.50 each must be at most (less than or equal to) $100
so
The inequality that represent this problem is
using a graphing tool
The solution is the triangular shaded area
Remember that the number of tickets must be a whole number
see the attached figure
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The solution is in the attachment
Answer:
10 years and 10 months.
Step-by-step explanation:
The annually interest rate (ia) can be converted by monthly (im) by the equation:
(1 + im)¹² = 1 + ia
(1 + im)¹² = 1 +0.01
(1 + im)¹² = 1.001 (putting ln in both sides)
ln(1 + im)¹² = ln1.001
12*ln(1 + im) = 1.0x10⁻³
ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)
1 + im = 1.00083
im = 0.00083 = 0.083%
For a investimenting, the final amount (A) can be calculated by:
Where R is the amount invested per month, i is the interest, and n the number of months:
160000 = 400 *
= 400
1.00083ⁿ - 1 = 0.332
1.00083ⁿ = 1.332 (applying ln in both sides)
n*ln1.00083 = ln1.332
8.3x10⁻⁴n = 0.2867
n = 345.4 months
345.4 months *1 yea12 months = 10 years and 10 months.