The value of x is 13 for the first attachment.
Answer:
babysitting = $9
working at coffeehouse = $12
x = hours for babysitting
y = hours at coffeehouse
minimum = ≥
9x + 12y ≥ 240
Step-by-step explanation:
just a short note on which symbol you should use when you see these words in inequality questions:
i) use ≥
-more than or equal to
-not less than
-at least
-minimum
ii) use >
-more than
-greater than
iii) use ≤
-less than or equal to
-not more than
-at most
-maximum
iv) use <
-less than
The expression can be simplified as:
k^3(k7/5)^-5
= k^(3+-5) * (7/5)^-5
(Collecting the powers of k at one side and the constants at other side)
= k^-2 * (5/7)^5
(Solving thr integer powers)
= k^-2 * (3125/16807)
Answer:
- amount lent: ₹6000
- interest received: Kamal, ₹600; Anand, ₹615.
Step-by-step explanation:
For principal P invested at simple interest rate r, the returned value in t years is ...
A = P(1 +rt)
If K is Kamal's returned value, the given numbers tell us ...
K = P(1 +0.05·2) = 1.1P
__
For principal P invested at compound interest rate r, with interest compounded annually for t years, the returned value is ...
A = P(1 +r)^t
If A is Anand's returned value, the given numbers tell us ...
A = P(1.05)² = 1.1025P
This latter amount is RS.15 more than the former one, so we have ...
1.1025P = 1.1P +15
0.0025P = 15 . . . . . . . . subtract 1.1P
P = 6000 . . . . . . . . . . . divide by 0.0025 . . . . the amount lent
Kamal received 1.1P -P = 0.1P = 600 on the investment.
Each lent ₹6000. Kamal received ₹600 in interest; Anand received ₹615 in interest.
I’m not sure for the other ones but D is def. likely