Answer:T=1.54yr
Step-by-step explanation:
Formulate for simple interest
I=prt/100
T=100I/pr
T=100×400×12/30100×10
T=1.54yr
Answer: She should blend 98 lbs of high-quality beans.
She should blend 72 lbs of cheaper beans
Step-by-step explanation:
Let x represent the number of pounds of high quality beans that she should blend.
Let y represent the number of pounds of cheaper beans that she should blend.
She needs to prepare 170 lbs of blended coffee beans. This means that
x + y = 170
She plans to do this by blending together a high-quality bean costing $4.75 per pound and a cheaper bean at $2.00 per pound. The blend would sell for $3.59 per pound. This means that the total cost of the blend would be 3.59×170 = $610.3. This means that
4.75x + 2y = 610.3 - - - - - - - - - -1
Substituting x = 170 - y into equation 1, it becomes
4.75(170 - y) + 2y = 610.3
807.5 - 4.75y + 2y = 610.3
- 4.75y + 2y = 610.3 - 807.5
- 2.75y = - 197.2
y = - 197.2/-2.75 = 71.9
y = 72 pounds
x = 170 - y = 170 - 71.9
x = 98.1
x = 98 pounds
-2/3!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
<h3>
</h3>
<h3>7. Cos Z </h3>
=> Cos theta = Base /Hypotenuse
=> Cos Z = 30/50 => 3/5
★ So, Option <u>B) 3/5 </u> is a correct answer.
_______________________
<h3>8. Cos X </h3>
=> Cos theta = Base/Hypotenuse
=> Cos X = 12/37
★ So, option <u>D)</u><u> </u><u>1</u><u>2</u><u>/</u><u>3</u><u>7</u> is a correct answer.
________________________
<h3>9. Sin Z</h3>
=> Sin theta = Perpendicular/Hypotenuse.
Sin Z = 16/20 => 4/5
★ So, option <u>C)</u><u> </u><u>4</u><u>/</u><u>5</u> is a correct answer
<h3>_____________________</h3>
<h3>10. Sin Z </h3>
=> Sin theta = Perpendicular/Hypotenuse
Sin Z = 48/50 => 24/25
★ So, option <u>A)</u><u>2</u><u>4</u><u>/</u><u>2</u><u>5</u> is correct answer
________________________
112.5 seconds per lap. As you need to convert the minutes to seconds, 7 x 60 = 420 + 30 = 450
450/4 = 112.5