Tyler has earned money by helping out on a neighbor's farm and now wants to put his earnings in a savings account. He is a bit c
1 answer:
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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.
Answer:
Option B,C and E are solution to given inequality
Step-by-step explanation:
We need to check which ordered pairs from given options satisfy the inequality
Ordered pairs are solutions to inequality if they satisfy the inequality
Checking each options by pitting values of x and y in given inequality
A ) (1, -5)
So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
B) (-3, - 2)
So, this ordered pair is solution of inequality as it satisfies the inequality.
C) (0, -9)
So, this ordered pair is solution of inequality as it satisfies the inequality.
D) (2, -1)
So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
E) (5, 4)
So, this ordered pair is solution of inequality as it satisfies the inequality.
So, Option B,C and E are solution to given inequality