Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²
Differentiating with respect to t
Since the car driving towards the intersection at 13 m/s.
so,
Now
= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Answer:
3^12
Step-by-step explanation:
When multiplying the same number with different exponents you have to add the the exponents. For example:
So (3^6)(3)(3^5) or (3^6)(3^1)(3^5) = 3^(6+1+5) = 3^12
The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
<h3>What is face value?</h3>
Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.
Maria, age 28, wants to pay no more than $300 a year in life insurance.
The period for this policy is 20-year term.
Annual life insurance premium (per 1,000 dollars of face value) for age 28.
- A 10-year term for female is 1.28,
- A 15 year term for female is 1.54,
- A 20 year term for female is 1.89,
- A whole life for female is 9.46.
For the 20 year term for female is 1.89 and annular premium is $300. Thus, the face value is,
Thus, the face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
Learn more about the face value here;
brainly.com/question/25596583
say, you have half a pie, and 2 sisters, if you divide the half-pie in 3 equal pieces, how much is everyone getting of the whole pie? well, is the quotient of 1/2 and 3.
Answer:
<em>The variable is v</em>
Step-by-step explanation:
