Answer:
Z is less than or equal to 6
Step-by-step explanation:
Answer:
$2647.18
Step-by-step explanation:
Data provided in the question:
Rate = 9% compounded quarterly
interest rate per period, i = 9% ÷ 4 = 2.25% = 0.0225
Future value = $43,000
Time = 3.5 years
Number of periods, = 3.5 × 4 = 14
Now,
Let the annual payments be 'A'
Thus,
Future value = A × [ (1 + i)ⁿ - 1 ) ÷ i ]
or
$43,000 = A × [ (1 + 0.0225)¹⁴ - 1 ) ÷ 0.0225 ]
or
$43,000 = A × 16.244
or
A = $2647.18
Answer:
░░ ░░░░▄░░░░░░░░░ ▄ ░░░░░░░░▌▒█░░░░░░░░░░░▄▀▒▌ ░░░░░░░░▌▒▒█░░░░░░░░▄▀▒▒▒▐ ░░░░░░░▐▄▀▒▒▀▀▀▀▄▄▄▀▒▒▒▒▒▐ ░░░░░▄▄▀▒░▒▒▒▒▒▒▒▒▒█▒▒▄█▒▐ ░░░▄▀▒▒▒░░░▒▒▒░░░▒▒▒▀██▀▒▌ ░░▐▒▒▒▄▄▒▒▒▒░░░▒▒▒▒▒▒▒▀▄▒▒▌ ░░▌░░▌█▀▒▒▒▒▒▄▀█▄▒▒▒▒▒▒▒█▒▐ ░▐░░░▒▒▒▒▒▒▒▒▌██▀▒▒░░░▒▒▒▀▄▌ ░▌░▒▄██▄▒▒▒▒▒▒▒▒▒░░░░░░▒▒▒▒▌ ▌▒▀▐▄█▄█▌▄░▀▒▒░░░░░░░░░░▒▒▒▐ ▐▒▒▐▀▐▀▒░▄▄▒▄▒▒▒▒▒▒░▒░▒░▒▒▒▒▌ ▐▒▒▒▀▀▄▄▒▒▒▄▒▒▒▒▒▒▒▒░▒░▒░▒▒▐ ░▌▒▒▒▒▒▒▀▀▀▒▒▒▒▒▒░▒░▒░▒░▒▒▒▌ ░▐▒▒▒▒▒▒▒▒▒▒▒▒▒▒░▒░▒░▒▒▄▒▒▐ ░░▀▄▒▒▒▒▒▒▒▒▒▒▒░▒░▒░▒▄▒▒▒▒▌ ░░░░▀▄▒▒▒▒▒▒▒▒▒▒▄▄▄▀▒▒▒▒▄▀ ░░░░░░▀▄▄▄▄▄▄▀▀▀▒▒▒▒▒▄▄—
Step-by-step explanation:
░░ ░░░░▄░░░░░░░░░ ▄ ░░░░░░░░▌▒█░░░░░░░░░░░▄▀▒▌ ░░░░░░░░▌▒▒█░░░░░░░░▄▀▒▒▒▐ ░░░░░░░▐▄▀▒▒▀▀▀▀▄▄▄▀▒▒▒▒▒▐ ░░░░░▄▄▀▒░▒▒▒▒▒▒▒▒▒█▒▒▄█▒▐ ░░░▄▀▒▒▒░░░▒▒▒░░░▒▒▒▀██▀▒▌ ░░▐▒▒▒▄▄▒▒▒▒░░░▒▒▒▒▒▒▒▀▄▒▒▌ ░░▌░░▌█▀▒▒▒▒▒▄▀█▄▒▒▒▒▒▒▒█▒▐ ░▐░░░▒▒▒▒▒▒▒▒▌██▀▒▒░░░▒▒▒▀▄▌ ░▌░▒▄██▄▒▒▒▒▒▒▒▒▒░░░░░░▒▒▒▒▌ ▌▒▀▐▄█▄█▌▄░▀▒▒░░░░░░░░░░▒▒▒▐ ▐▒▒▐▀▐▀▒░▄▄▒▄▒▒▒▒▒▒░▒░▒░▒▒▒▒▌ ▐▒▒▒▀▀▄▄▒▒▒▄▒▒▒▒▒▒▒▒░▒░▒░▒▒▐ ░▌▒▒▒▒▒▒▀▀▀▒▒▒▒▒▒░▒░▒░▒░▒▒▒▌ ░▐▒▒▒▒▒▒▒▒▒▒▒▒▒▒░▒░▒░▒▒▄▒▒▐ ░░▀▄▒▒▒▒▒▒▒▒▒▒▒░▒░▒░▒▄▒▒▒▒▌ ░░░░▀▄▒▒▒▒▒▒▒▒▒▒▄▄▄▀▒▒▒▒▄▀ ░░░░░░▀▄▄▄▄▄▄▀▀▀▒▒▒▒▒▄▄—
Watch closely. I'll try to go slow:
You said <u>v² = 2 g t</u>
Divide each side by 2g : <em>v² / 2g = t</em>
Did you follow that ?
Total marks C needs to get = 92 x 4 = 368
Least grade (fourth quarter) = 368 - 88 - 91 - 90 = 99