Mathematics
Solve the following inequation. (11+3x)/5 >=3-x>-(3/2), x ∈ R (a) Write the solution set. (b) Represent the solution on the number line.
Related Questions
Amit deposited ₹ 600 per month in a recurring deposit account. The bank pays a simple interest of 12% p.a. Calculate the:
(a) number of monthly installments Amit deposits to get a maturity amount of ₹ 11826?
(b) total interest paid by the bank.
(c) total amount deposited by him.
Aman has 500, ₹ 100 shares of a company quoted at ₹ 120, paying a 10% dividend. When the share price rises to ₹ 200 each, he sells all his shares. He invests half of the sale proceeds in ₹ 10, 12% shares at ₹ 25, and the remaining sale proceeds in ₹ 400, 9% shares at ₹ 500.
Find his:
(a) sales proceeds.
(b) investment in ₹ 10, 12% shares at ₹ 25.
(c) original income.
(d) change in income.
Determine whether the following quadratic equation has real roots.
5𝑥2 − 9𝑥 + 4 = 0
(a) Give reasons for your answer.
(b) If the equation has real roots, identify them.
The profit in rupees in a local restaurant and the number of customers who visited the restaurant are tabulated below for each week for one month.
Week number Week 1 Week 2 Week 3 Week 4 Number of customers 1400 5600 x 3212 Profit in ₹ 28000 112000 32140 y Find :
(a) if the number of customers and profit per week in continued proportion or not? Justify your answer.
(b) the value of x and y.