You can just guess numbers that could be x, I tried 80 and it got me 32 so I tried 60 and it got me 28 I tried 70 and it got me 30=16+1/5(70)
Answer:
n + q = 20
5n + 25q = 300 or 0.05n + 0.25q = 3
Step-by-step explanation:
You know that you have some nickels and some quarters, and together there are 20 coins. So if n represents the number of nickels, and q represents the number of quarters, you can use this equation:
n + q = 20
You also know that together the coins total three dollars. We know that a nickel is worth 5 cents and a quarter is worth 25. So if n and q still represent the number of each type of coin, we can use this equation:
5n + 25q = 300
or
0.05n + 0.25q = 3
The reason I said 300 in the first equation is because you are counting the number of cents. There are 300 cents in 3 dollars.
3/7 divided by 3/11 copy dot flip
3/7 * 11/3
33/21
11/7
1 4/7 miles per hour
Answer:
$1715.44
Step-by-step explanation:
The formula to calculate the present value is;
PV = S(1 + r)^(-n)
Where;
S is the current debt
r is the interest rate
n is the amount of years which the debt is due.
Thus, for the debt of $3500 & $5000, we have total debt value as;
PV = (3500(1 + 0.07)^(-4)) + (5000(1 + 0.07)^(-6))
PV_debt = $6001.84
Now,let's find total PV of the payments that will be made since a single payment of $1500 now and three equal payments that are due each consecutive year from now annually;
PV_payments = 1500 + x(1 + 0.07)^(-1)) + x(1 + 0.07)^(-2)) + x(1 + 0.07)^(-3))
Where x is the value of each of the equal payments.
Thus, expanding we have;
PV_payments = 1500 + x(1.07)^(-1)) + x(1.07)^(-2)) + x(1.07)^(-3))
>> PV_payments = 1500 + x((1.07)^(-1)) + (1.07)^(-2)) + (1.07)^(-3))
Solving the bracket we have;
PV_payments = 1500 + 2.6243x
To find the value of each equal payments, we will equate PV_debt to PV_payments to get;
6001.84 = 1500 + 2.6243x
Thus;
2.6243x = 6001.84 - 1500
2.6243x = 4501.84
x = 4501.84/2.6243
x = $1715.44