Answer:
3 5/12 cups of flour are needed
Step-by-step explanation:
The flour-sugar total is 3 2/3 cups, of which 1/4 cup is sugar. So, to find the amount of flour used, we subtract 1/4 cup (sugar) from the total (3 2/3 cups):
11 1
----- - ---- where 11/3 is the improper fraction form of 3 2/3
3 4
The LCD is 12. Rewriting this subtraction using the LCD, we get:
44 3
---- - ----- = 41/12 (cups) = 3 5/12 cups
12 12
3 5/12 cups of flour are needed
(8/9)^2= 8/9 * 8/9
8*8=64
9*9=81
Final answer: 64/81
Answer:
Answer is D.
Step-by-step explanation:
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