The deposit is 4,000 so P = 4000.

The interest rate is 9.5%

9.5 ÷ 100 = 0.095.

r = 0.095: I = P*r*t*: I = P*r*tl = 4000*0.095*

(270/365)I = 281.095890410959 I = 281.10

So your answer would be: 281.10

8 0

3 years ago

A sled is being pulled across a floor by two ropes such that the angle between them is 40°. If the forces on the ropes are 100 p

Dafna1 [17]

Answer:

option 4 ⇒ 236 lb.

Step-by-step explanation:

Best explanation of the question is as shown in the attached figure.

we will use the parallelogram method to calculate resultant force.

to get the length of the resultant force ⇒ use the cosines law

The cosine law is a² = b² + c² - 2 * b * c * cos (∠A)

Applying at the question where b = F₁ , c = F₂ and ∠A = ∠x

Given that F₁ = 100 pounds , F₂ = 150 pounds and ∠x = 180° - 40° = 140°

∴ (Resultant force)² = 100² + 150² - 2 * 100 * 150 * cos (∠140) = 55481

∴ Resultant force = √55481 = 235.54 ≅ 236 pounds

The answer is option 4 ⇒ 236 lb.

8 0

3 years ago

4.6.3 Test (CST): Linear Equations

inn [45]

The slope of the green line if the lines are perpendicular is -1/4

<h3>Perpendicular lines</h3>

For two lines two be perpendicular, the product of their slope must be -1. Let the slope of the red and green line be m1 and m2.

Given the following

Slope of red line = 4

According the definition

4m2 = -1

m2 = -1/4

Hence the slope of the green line if the lines are perpendicular is -1/4

Learn more on perpendicular lines here: brainly.com/question/1202004

#SPJ1

5 0

1 year ago

Which rational number must be added to3\7to get -3\4 ?

VladimirAG [237]

$\frac{3}{7}+x=-\frac{3}{4}\\\\\frac{3}{7}(\frac{4}{4})+x=-\frac{3}{4}(\frac{7}{7})\\\\\frac{12}{28}+x=-\frac{21}{28}\\\\x=-\frac{21}{28}-\frac{12}{28}\\\\x=-\frac{33}{28}=1\ \frac{5}{28}$

3 0

3 years ago