E and f were a little complicated.
Answer:
6(d - 5)
Step-by-step explanation:
Answer:
<em>7, 22</em>
Step-by-step explanation:
Let S = the smaller number.
"The larger number is 1 more than 3 times the smaller number."
The larger number is 3S + 1.
The difference between the numbers is 15, so the larger number minus the smaller number equals 15.
3S + 1 - S = 15
2S + 1 = 15
2S = 14
S = 7
The smaller number is 7.
larger number = 3S + 1 = 3(7) + 1 = 21 + 1 = 22
The larger number is 22.
Answer:
$172,806.37.
Step-by-step explanation:
Total = [ P(1+r/n)^(nt) ] + [ PMT × (((1 + r/n)^(nt) - 1) / (r/n)) ] * (1 + r/n)
is the formula for the amount left after the first 7 years where the money is deposited at the beginning of each month and P = initial amount, PMT = monthly payment, r = rate as a decimal and t = time in years.
Total after the first 7 years
= [ 200(1+0.09/12)^(7*12) ] + [ 200 × (((1 + 009/12)^(7*12) - 1) / (0/09/12) ] * (1 + 0.09/12)
= 374.64 + (200 * 0.8732019633) / (0.09/12) * (1 + 0.09/12)
= 374.64 + 23485.386 * 1.0075
= $24.036.17
Total after a further 22 years:-
= 24.036.17(1 + 0.09/12)^(12*22)
= $172,806.37 (answer).
Hello there! I can help you! The absolute value symbols make the answer to the expression between the lines positive. Because of this, let's solve as two separate equations: k + 7 = 3, and k + 7 = -3. Let's start with the first one. 3 - 7 is -4. k = -4. Now to the second one. -3 - 7 is -10. Keep in mind that -10 works, because although the sum is -10 and 7 is -3, the sum has an absolute value of 3. There. k = -10 or - 4. The answer is D.