Convert 45 yards of ribbon to feet through proper conversion factor.
(45 yards)(3 ft / 1 yard) = 135 feet
Divide this number by 5 to determine the number of 5-ft ribbon that customers can purchased.
n = 135 ft / 5 ft = 27
Then, multiply by $0.80.
R = (27)($0.80) = $21.6
The profit is equal to $21.6 and $13.50,
P = $21.6 - $13.50 = $8.1
<em>Answer: $8.1</em>
Answer: 71
Step-by-step explanation:
Answer:
Therefore, the approximate monthly payment is $548.85
Step-by-step explanation:
The amount of student loans Erica currently has = $34,006.00
The duration over which Erica is to pay back the loan = 7 years
The annual interest rate for the loan = 9.1%
Therefore, we have the geometric sequence formula is given as follows;
![A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]](https://tex.z-dn.net/?f=A_n%20%3D%20P%28%201%20%2B%20r%29%5En%20-%20M%20%5Ctimes%20%5Cleft%20%5B%20%5Cdfrac%7B%281%20%2B%20r%29%5En-1%7D%7Br%7D%20%5Cright%20%5D)
Where;
M = The monthly payment
P = The initial loan balance = $34,006.00
r = The annual interest rate = 9.1%
n = The number of monthly payment = 7 × 12 = 84
Aₙ = The amount remaining= 0 at the end of the given time for payment
Substituting the values into the above formula, , we get;
![0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]](https://tex.z-dn.net/?f=0%20%3D%2034006%20%5Ctimes%20%5Cleft%20%28%201%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D%20-%20M%20%5Ctimes%20%5Cleft%20%5B%20%5Cdfrac%7B%5Cleft%20%281%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D-1%7D%7B%5Cdfrac%7B0.091%7D%7B12%7D%20%7D%20%5Cright%20%5D)
![M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85](https://tex.z-dn.net/?f=M%20%3D%20%5Cdfrac%7B34006%20%5Ctimes%20%5Cleft%20%28%201%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D%20%20%7D%7B%5Cleft%20%5B%20%5Cdfrac%7B%5Cleft%20%281%20%2B%20%5Cdfrac%7B0.091%7D%7B12%7D%20%5Cright%20%29%5E%7B84%7D-1%7D%7B%5Cdfrac%7B0.091%7D%7B12%7D%20%7D%20%5Cright%20%5D%7D%20%5Capprox%20548.85)
Therefore, the approximate monthly payment = $548.85
Question:
Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q
Answer:
Option c: p → q
Explanation:
Option a: p ∨ q
p ∨ q means that either p is true or q is true or both are true.
Hence, Option a is not the correct answer.
Option b: p ∧ q
p ∧ q means that both p and q are true.
Hence, Option b is not the correct answer.
Option c: p → q
p → q means that if p is true, then q is also true.
Hence, Option c is the correct answer.
Option d: p ↔ q
p ↔ q means that if p is true, then q is true. If q is true, then p is true.
Hence, Option d is not the correct answer.
Thus, p → q is the correct option.
We know that
1 liter------------> is equal to 1000 ml
if for one cake--------------> are required 80 milliliters of lemon juice
<span> for 11 cakes--------------> X
X=11*80---------> 880 ml
</span>if for one cake--------------> are required 240 milliliters of plain yogurt
for 11 cakes--------------> X
X=11*240---------> 2640 ml
<span>liters of lemon juice needed to make 11 cakes
880 ml/1000------> 0.88 lt
</span><span>liters of yogurt needed to make 11 cakes
2640 ml/1000--------> 2.64 lt
the answer is
are needed 0.88 lt </span>of lemon juice and 2.64 lt of yogurt to make 11 cakes<span>
</span>
